Solve this system of equations by graphing. First graph the equations, and then type the solution.

Answers

Answer 1

The graph of the equation given is mentioned below.

What is plot point in graph ?

Whenever we draw a point on our grid, we'll call it "plotting a point." The grid is really called a "graph" and the points we plot are called "coordinates." These are really locations on a plane -- we're just finding and labeling them.

Equation given,

y = 3/5x - 1 ----eq(i)

y = 2/5x -----eq(ii)

Now, for this two equation we infinite points for real numbers.

Now, take some points to plot the graph.

First for the eq(i)

Put x = 0, so y = -1

Put x = 5, so y = 2

Points for eq(i) is (0, -1) and (5, 2)

Now, for eq(ii)

Put x = 0, so y = 0

Put x = 5, so y = 2

Points for eq(ii) is (0, 0) and (5, 2)

Common point is (5, 2)

Now, plot this point on graph.

Hence, for more clarity graph of the equation given is mentioned below.

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Related Questions

The value of 26 – 16 divided by 2+3•4 is
30
32
06
22
PLEASE HELP!!!!!!

Answers

Answer:

30.

Step-by-step explanation:

Anika wants to determine the maximum number of tulip bulbs (t) she can purchase if each bulb costs $1.50. She will also need to purchase separate pots for each bulb at $1.25 each and a bag of potting soil for $10.00. Set up an inequality to determine how many tulip bulbs Anika can purchase without spending more than $20.00, and solve it.

Answers

20 (> greater than or equal to sign) 1.50t + 1.25t + 10

Anika wants to determine the maximum number of tulip bulbs (t) she can purchase if each bulb costs $1.50.

6 less than a number is less than the quotient of the number and 3.

Answers

Answer:

x<9

Step-by-step explanation:

x-6<x/3

3(x-6)<x

3x-18<x

3x-x<18

2x<18

X<18/2

X<9

What is the surface area?
5 m
6 m
5 m
9 m
4 m

square meters

Answers

Answer:

Great question!!

Step-by-step explanation:

I don't have an answer for you, although, I'm sure that you will figure it out on your own, or god forbid, ask/email your teacher or peers if you are truly struggling:)

An unusually wet spring has caused the size of a mosquito population in some city to increase by 9% each day. If an estimated 200,000 mosquitoes are in the city on May 7 , find how many mosquitoes will inhabit the city on May 21. Use y=200,000(1.09)x where x is number of days since May 7.
On May 21 there will be approximately____nothing mosquitoes.

Answers

On May 21 there will be approximately 728,500 nothing mosquitoes.

What is an exponential function?

In Mathematics, an exponential function can be modeled by using this mathematical expression:

f(x) = ab^x

Where:

a represents the initial value or y-intercept.x represents time.b represents the rate of change.

Based on the information provided above, an exponential function which models the situation is given by:

y = 200,000(1.09)^x

For the time between May 7 and May 21, we have:

Time = May 7 to May 21 = 15 days.

Substituting the given parameters into the exponential function formula, we have;

y = 200,000(1.09)^15

y = 200,000(3.6425)

y = 728,500 mosquitoes.

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A stack of books is 69 inches high. How high is it in feet and inches?

Answers

5 feet 7 inches. There’s 12 inches in a foot so all you have to do is 69 divided by 12

The slope of the line below is -3. Which of the following is the point-slope form of the line?

Answers

Answer:

A. y+6 = -3(x-2)

Step-by-step explanation:

The slope point formula is:

y - y₁ = m (x - x₁)

Our slope is negative 3, and our coordinates given are 2 and -6.

Substitute -3 for m, -6 for y₁, and 2 for x₁

y - (-6) = -3 (x - 2)

Negative and negative multiplied together make postive

A. y+6 = -3 (x-2)

Gabriella expects to earn $50 in tips during her shift as a waitress today. In addition to tips, she earns $8.00 an hour. If she wants to make at least $114 today, how many hours must she work at a minimum? hours

Answers

Answer:

2 hours

(50 $ + 8 $) x 2 = 116

116 > 114

When r is not significantly different from 0, the best predictor of y is the ________ of the data values of y

Answers

The best predictor of y when r is not significantly different from 0 is the mean of the data values of y, which can be calculated using the formula (∑y)/n.

The best predictor of y when r is not significantly different from 0 is the mean of the data values of y. This can be calculated using the formula:

mean = (∑y)/n

Where ∑y is the sum of all the y values in the data set and n is the number of y values in the data set.

For example, if the data set is comprised of five y values of -2, -1, 0, 1, and 2, we would have ∑y = -2 + -1 + 0 + 1 + 2 = 0. The number of y values, n, is 5. Therefore, the mean of the data would be 0/5 = 0.

The mean of the data is a useful predictor of y when r is not significantly different from 0 because it is an average of all the values in the data set. This means that it takes into account all the data points and can give a reliable prediction of what the value of y is likely to be. Since r is not significantly different from 0, this means that there is no strong relationship between the two variables, and so the mean of the data can be used to provide an accurate prediction of y.

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$90 is what percent of $100?

I need help.

Answers

90%

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 8 - Find the mean

Answers

Answer:

You can hack it double click and press inspect for answers

Step-by-step explanation:

Any has 10 pieces of fruit. 7 are apples and the rest are oranges.

She chooses a piece of fruit at random eats it then chooses a second piece of fruit at random

Please draw this

Answers

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

What fraction should go into the boxes?

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

Answers

The mean for the random variable X, the number of twos thrown out of ten tosses is 1/6. The answer is A. 2.98, rounded to two decimal places.

To find the mean for the random variable X, we need to multiply the probability of each possible outcome (i.e. the number of twos thrown out of ten tosses) by that outcome, and then add up all the results.

For example, the probability of throwing no twos (i.e. getting other numbers on all ten tosses) is (5/6)¹⁰, and the corresponding outcome is 0. So the contribution to the mean from this outcome is 0×(5/6)¹⁰.

Similarly, the probability of throwing one two (i.e. getting a two once and other numbers on the remaining nine tosses) is 10×(1/6)×(5/6)⁹, and the corresponding outcome is 1. So the contribution to the mean from this outcome is 1×10×(1/6)×(5/6)⁹.

We can do this for all possible outcomes (i.e. throwing 0, 1, 2, …, 10 twos), and add up the results to get the mean.

Using this method, we get:

Mean(X) = 0×(5/6)¹⁰ + 1×10×(1/6)×(5/6)⁹ + 2×(1/6)²×(5/6)⁸ + 3×(1/6)^3×(5/6)⁷ + 4×(1/6)⁴×(5/6)⁶ + 5×(1/6)⁵×(5/6)⁵ + 6×(1/6)⁶×(5/6)⁴ + 7×(1/6)⁷×(5/6)³ + 8×(1/6)⁸×(5/6)² + 9×(1/6)⁹×(5/6) + 10×(1/6)¹⁰

Using a calculator, we get:

Mean(X) ≈ 2.98

Therefore, the answer is A. 2.98, rounded to two decimal places.

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Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.

Answers

The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.

Flat costs and Variable cost

The total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.

Total cost = flat cost + variable cost

Determination of the equation required to solve for the gigabytes needed

The flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.

$43.60 = $37 + $3x

The gigabytes needed

In order to determine the value of x, combine similar terms together

$43.60 - $37 = $3x

6.6 = $3x

Divide both sides by 3

6.6/3 = x

x = 2.2 gigabytes

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Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. a. What is the planning value for the population standard deviation? σ =?
b. How large a sample should be taken if the desired margin of error is $300? Round your answers to next whole number. c. Would you recommend trying to obtain the $110 margin of error? Explain. No, the sample size would probably be too time consuming and costly.

Answers

a) The planning value for the population standard deviation is unknown since the standard deviation of the population is not given in the problem.

b) We should take a sample size of at least 139 to obtain a margin of error of $300.

c) No, it would not be recommended to try to obtain a margin of error of $110.

a. The planning value for the population standard deviation, σ, is not given. We can use a commonly accepted value for the standard deviation of starting salaries for college graduates with degrees in business administration, which is about $5,000. Therefore, we can use σ = $5,000 as the planning value for the population standard deviation.

b. To find the sample size needed to obtain a margin of error of $300, we can use the formula:

n = (zα/2)²(σ²) / E²

where n is the sample size, zα/2 is the critical value from the standard normal distribution corresponding to a 95% confidence level (which is approximately 1.96), σ is the population standard deviation, and E is the desired margin of error.

Plugging in the values, we get:

n = (1.96)²($5,000)² / ($300)²

n ≈ 139

Therefore, we should take a sample size of at least 139 to obtain a margin of error of $300.

c. No, it would not be recommended to try to obtain a margin of error of $110. This is because a smaller margin of error requires a larger sample size. To determine the sample size needed to obtain a margin of error of $110, we can use the same formula as above:

n = (1.96)²($5,000)² / ($110)²

n ≈ 1,216

Taking such a large sample size would be time-consuming and costly, and it would not significantly improve the precision of the estimate compared to a sample size of 139 with a margin of error of $300.

Therefore, a sample size of 139 with a margin of error of $300 is a reasonable and practical choice for estimating the population mean annual starting salary with 95% confidence.

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helppppppp
Find the final amount for an investment of $5,000 over 5 years at an annual interest rate of 6% if the interest is compounded quarterly.

Answers

The final amount for the investment of $5,000 is $ 6,749.29.

Compound interest:

Compound interest is a type of interest calculation in which the interest earned on an initial principal amount is added to the principal, and the new total amount earns interest in subsequent periods.

This means that the interest earned in each period is based on the total amount, which includes both the principal and the accumulated interest from previous periods.

The formula used for compound interest:

${\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}$

Where:

P = Initial investment

r = Rate of interest (as a decimal)

n = Number of compounds

t = Time period in years

Here we have

P = $5,000,

r = 6% = 0.06,

n = 4 (since the interest is compounded quarterly), and

t = 5 years.

Using the above formula

$A = 5000(1 + 0.06/4)^{(4*5)$

$A = 5000(1.015)^{20$

$A = 5000(1.34985711)$

$A =\$6,749.29$

Therefore,

The final amount for the investment of $5,000 is $ 6,749.29.

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Use the given point and slope to write (a) an equation of the line in point-slope form and (b) an equivalent equation of the line in slope-intercept form. m= 7, (-5, -2) ... a) The equation of the line in point-slope form is (Type an equation.)

Answers

a) The equation of the line in point-slope form is y + 2 = 7(x + 5).

b) The equation of the line in slope-intercept form is y = 7x + 33.

a) The equation of the line in point-slope form is obtained using the formula: y - y₁ = m(x - x₁), where m represents the slope and (x₁, y₁) represents the given point.

Given the slope (m) as 7 and the point (-5, -2), substituting these values into the formula, we have :

y - (-2) = 7(x - (-5)).

Simplifying this equation, we get :

y + 2 = 7(x + 5), which is the equation of the line in point-slope form.

(b) To convert the equation from point-slope form to slope-intercept form (y = mx + b), we need to simplify the equation obtained in part (a).

Starting with y + 2 = 7(x + 5), we expand the brackets to get :

y + 2 = 7x + 35.

Then, by subtracting 2 from both sides of the equation, we have :

y = 7x + 33.

Thus, the equation of the line in slope-intercept form is y = 7x + 33.

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if a 10,000 kg ufo made of antimatter crashed with a 40,000 kg plane made of matter, calculate the energy of the resulting explosion.

Answers

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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what is 2/3(1+n)=-1/2n

Answers

Answer:

-4/7

Step-by-step explanation:

2/3(1+n)=-1/2n

2/3+2/3n=-1/2n

2/3=-1/2n-2/3n

2/3=-3/6n-4/6n

2/3=-7/6n

n=(2/3)/(-7/6)

n=(2/3)(-6/7)

n=-12/21

simplify

n=-4/7

Suppose you have the following information about a regression. s(e) = 2.16 b1 = 0.45 s(x) = 2.25 n = 9 For the slope estimate (b1), what is the 95% confidence interval? a. (-0.35, 1.25) b. (-2.61, 3.51) c.(0.36, 0.54) d. (0.11, 0.79)

Answers

The 95% confidence interval for b1 is approximately (0.197, 0.703).

The 95% confidence interval for the slope estimate (b1) is given by:

b1 ± t(alpha/2, n-2) * s(e) / (sqrt(SSX) * sqrt(1 - r^2))

where:

t(alpha/2, n-2) is the t-score with alpha/2 probability (alpha = 0.05 for 95% confidence level) and n-2 degrees of freedom

s(e) is the standard error of the estimate for the regression

SSX is the sum of squared deviations of the predictor variable from its mean

r is the correlation coefficient between the predictor and response variables

Substituting the given values, we have:

b1 ± t(0.025, 7) * 2.16 / (sqrt(2.25*8) * sqrt(1 - 0.45^2))

= 0.45 ± 2.365 * 2.16 / (2.121 * 0.676)

= 0.45 ± 1.253

Therefore, the 95% confidence interval for b1 is approximately (0.197, 0.703). So, the answer is (d) (0.11, 0.79).

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can someone answer page 3 question 3, page 5 question 3, all of page 6

Answers

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

What is trigonometrical ratios?

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle. There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3) Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5) Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Elena is bicycling 9.28 miles to her friend's house. She has already bicycled 3.39 miles. She needs to bicycle m more miles to reach her friend's house. Solve the equation 3.39 + m = 9.28 to find how many more miles Elena needs to bicycle

Answers

Answer:

m = 5.89

Step-by-step explanation:

hope this helpes~

A painter leans a 15-ft ladder against a house.
The base of the ladder is 5 ft from the house. To the nearest tenth of a
foot, how high on the house does the ladder reach? Explain.

Answers

Let the height be h
According to the Pythagoras Theorem,
h= root 15^2-5^2
= root 225-25
= root 200= 14.14
Thus, the ladder reaches approximately 14.14 feet from the base of the house

Someone help me please

Answers

Answer:

Step-by-step explanation:

any minus temperature is < 7oC

0 is < 7oC

1 ... 6 is < 7oC

Which table of ordered pairs represents a proportional relationship?

Answers

I believe the answer is B

which of the series in the followings converge absolutely,which
converge condi-tionally, and which diverge?
20gr. 1+rtpat. (11) (-1)" Vnt 100 να (i) γλ + 1 n=1 (Σ 00 log, (n!) 121³ n=2 00 (1) Σ (3) Σ [=U n=0 [infinity] Σ I for -1

Answers

The given series can be categorized as follows: (i) The series 1 + sqrt(n) diverges. (ii) The series (-1)^n/(n^2) converges absolutely. (iii) The series log(n!)/n^3 converges conditionally. (iv) The series Σ(3^n) diverges. (v) The series Σ((-1)^n)/√(n) converges conditionally.

Let's analyze each series separately:

(i) The series 1 + sqrt(n) diverges because the sum of a constant term (1) and an unbounded term (sqrt(n)) results in an infinite sum as n approaches infinity.

(ii) The series (-1)^n/(n^2) converges absolutely. Since the absolute value of each term, |(-1)^n/(n^2)|, is bounded by 1/n^2 and the series Σ(1/n^2) converges (known as the p-series with p > 1), the given series also converges absolutely.

(iii) The series log(n!)/n^3 converges conditionally. By using the ratio test or the root test, it can be shown that the terms of the series tend to zero as n approaches infinity. However, the alternating signs of the terms make the series conditionally convergent.

(iv) The series Σ(3^n) diverges because the terms grow exponentially and do not approach zero as n approaches infinity.

(v) The series Σ((-1)^n)/√(n) converges conditionally. By using the alternating series test, it can be shown that the terms alternate in sign and tend to zero as n approaches infinity, satisfying the conditions for conditional convergence.

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yes or no ? i need help please

Answers

Answer:

yes

Step-by-step explanation:

Write an equation of the ellipse with foci at (0, ±3) and co-vertices at (±3, 0).

PLEASE HELP :(((((

Answers

Using the foci and co-vertices, the equation of ellipse is (x^2/9) + (y^2/9) = 1

What is the equation of Ellipse

An ellipse is defined as the set of all points such that the sum of the distances from the foci to the point is constant. The distance between the foci is 2*c, where c is the distance from the center to either focus.

Given that the foci are at (0, ±3) and the co-vertices are at (±3, 0), we know that the center of the ellipse is at (0, 0) and the distance between the foci is 2c

So the equation of the ellipse with foci at (0, ±3) and co-vertices at (±3, 0) can be written as:

(x²/3²) + (y²/b²) = 1

Where a = 3, b = 9

So, the equation of the ellipse is (x^2/9) + (y^2/9) = 1

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https://gyazo.com/46ca31c22a7fbb58e5b42ba43088eb9f

Answers

Answer:

hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

it goes to a screen shot

Step-by-step explanation:

using a rulers and a pair of compasses only contruct a triangle pqr such that pq is 7.5cm and qr is 6.1cm if pqr is 45 degree measure pr

Answers

Using a ruler and compasses, draw PQ (7.5cm), locate R using a 6.1cm radius from P, then connect PR. To measure ∠PQR, use a protractor with Q as the center.

To construct triangle PQR with sides PQ = 7.5 cm, QR = 6.1 cm, and ∠PQR = 45 degrees, follow these steps:

1. Draw a line segment PQ of length 7.5 cm using a ruler.

2. Place the compass at point P and draw an arc with a radius of 6.1 cm to intersect PQ. Label this point of intersection as R.

3. Set the compass to a radius of 7.5 cm and draw an arc with center Q.

4. Without changing the compass width, draw another arc with center R to intersect the previous arc. Label this point of intersection as P.

5. Connect points P and Q with a straight line segment to complete triangle PQR.

6. To measure the angle ∠PQR, use a protractor and place it on line segment QR such that the center of the protractor aligns with point Q. Then measure a 45-degree angle starting from the line segment QR and mark the point of intersection on line segment PQ. Label this point as S.

7. Connect points P and S to form the line segment PS.

8. Measure the length of line segment PS using a ruler.

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Gabriel was at the gym for 3/4 hours. He spent 1/2 of this time shooting baskets. What fraction of an hour did Gabriel spend shoot baskets? What is the slope of the data in the given table ? calculate the probability that an electron will be found a between x=0.1 and 0.2 nm in a box of length l=10nm when its wavefunction is =2/l^1/2sin(2pix/l). t A cannonball is shot horizontally off a10.5 m high castle wall at 47.4 m/s. Howfar from the base of the wall does thecannonball land? help help help help!!!!! A client interested in fixed income is viewing different bonds with the same rating and a coupon of 5%. Using the discounted cash flow method, which bond should have the highest market value? The two pioneers of cubism were Picasso and Braque. How do we know this?Question 3 options:Their work was the first to use the idea of shapes, specifically cubes to assemble images in their paintings showing a new way to present three-dimensional forms within a 2D compositionTheir ideas on how to fracture objects was revolutionary in the art worldThey invented the concepts, that is what tells usTheir work was the first to use the idea of shapes, specifically pyramids to assemble images in their paintings showing a new way to present three-dimensional forms within a 2D composition On 1/1/2001, Sunshine Corp. issued a bond with the following information. Principal: $1,000,000 Stated interest rate: 6% Maturity: 5 years Market interest rate at issuance: 8%. Sunshine Corp. makes semi-annual coupon payments on June 30 and Dec. 31. 1). How much cash did Sunshine Corp. receive from the bond issuance? 2). Calculate the interest expense and net book value of the bond at the end of year 2001. Interest expense for the first half of year 2001:Interest expense for the second half of year 2001: NBV at the end of 2001: 2 Abiola, a programmer, earned $35,000 in 2015, but in 2016, he began to manufacture body boards. After one year, he submitted the following data to his accountant. He stopped renting out his apartment for $3,500 a year and used it as his factory. The market value of the apartment increased rom $70,000 to $71,000. He spent $50,000 on materials, phone, utilities, etc. He leases machines for $10,000 a year. He paid $15,000 in wages. He used $10,000 from his savings account, which pays 5% a year interest. He borrowed $40,000 at 10% a year from the bank. he sold $160,000 worth of body boards. Normal profit is $25,000 a year.Question: Calculate Abiola's economic profit in 2016, and if Abiola's accountant recorded the depreciation on Abiola's apartment during 2016 as $7,000, calculate Abiola's accounting profit or loss in 2016.a) Acct. Profit: $78,000, Economic profit: $13,000 b)Economic profit: $18,000, and Accounting profit $ 74,000 c) Acct profit: $68,000 Economic profit: $23,000d) Acct profit: $53,000 Economic profit: $58,000 was The,Human Genome Project the international project in which the goal was to determine the sequence of approximately three billion nucleotides that make up human DNA. Rudy has arranged to buy a car for $10,240. He has a $3000 trade-in allowance and will make a $2000 down payment. He will finance the rest with a 3-year auto loan at 3. 4% apr. What is the total amount of interest he will pay? round your answer to the nearest dollar. Redstone Technology, Inc. is an Irish company with a manufacturing subsidiary in Manchester, England. Manchester currently produces and sells a highly specialized voltage reducer to aircraft manufacturers in England for 160 per unit. Manchester has variable costs of 100 per unit, and Manchester can sell as many of these as it can produce. England has a corporate tax rate of 40%. Redstones corporate office is considering using the voltage reducer in a new satellite positioning system which would be produced in Dublin, Ireland. The positioning system has an anticipated selling price of 290, and requires an additional 120 of variable manufacturing costs, as well as one voltage reducer. Ireland has a corporate tax rate of 20%. Redstone is suggesting a transfer price of 150 per voltage reducer. Redstone is eager to introduce this new product; however, if the voltage reducers cannot be obtained from Manchester, the product will not be possible. Assume that Dublin has excess capacity, so the new product can be produced without any opportunity cost. The company pays divisional management bonuses based on divisional profit.1. Will Manchesters divisional manager be happy with the new plan (and the 150 transfer price)? Support your answer with calculations.2. Will Dublins divisional manager be happy with the new plan (and the 150 transfer price)? Support your answer with calculations. 3. Will Redstone as a whole be happy with the new plan (and the 150 transfer price)? Support your answer with calculations.4. Assuming that the transfer price must be between 100 and 170, what transfer price would be most tax efficient from Redstones perspective, ignoring goal incongruence (e.g., if Redstone were completely centralized)?5. Assuming that the transfer price must be between 100 and 170, what transfer price would be most tax efficient from Redstones perspective, taking goal incongruence into account? What is the cost (per voltage reducer) of goal congruence? Perform the following mathematical operation, and report the answer rounded to the correct a number of significant figures.143.6 / 21.2=? Which of the following statements is not true about human health?A) Many genes influence the personal risk of developing diseases.B) Whether or not a risk leads to a disease depends on the interactions between genes andpersonal environments.C) Using knowledge of genetic risks to adapt a personal life can improve one's health.D) Good nutrition, exercise and rest are some of the factors in life that one can improve on toreduce health risksE) Genetical make up or environmental factors have no influence on one's health. HURRYYYY MATH PEOPLE!!! I ONLY HAVE 3 MINUTES!!! The nurse is caring for a patient who has severe nausea and vomiting caused by food poisoning. The patient is prescribed antiemetic medications as a combination therapy. Of what will the nurse be aware while administering the medications? When an electrical utility charges higher prices during the day than at night, it is practicing:______. quizlet how the development of xenografts can be a practical solution to organ availability or shortage PLEASE HELP!!! which use of imagery best creates a specific, believable setting? A) Waves crashed against jagged rocks that held back the ocean. B) The city was full buildings, streets, sidewalks, and cars. C) Drew, a wide-eyed, jittery kid with pouty lips, walked by. D) The average house on the street has furniture inside it's rooms. You and your firm need to develop policies that avoid acquisitions and restructuring. Select one: True False