Find the balance in an account at the end of 8 years if $6000 is invested at an interest rate of 4.2% that is compounded continuously.
a. $8396.03
b. $ 8338.60
c. $8262.77
d. $6257.37

9514 1404 393

Answer:

  (x, y, z) = (90, 75, 105)

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.

  (x -15) +(x +15) = 180

  2x = 180

  x = 90

Angles y and (x-15) are opposites, so ...

  y = x -15 = 90 -15 = 75

Similarly, for z ...

  z = x +15 = 90 +15 = 105

The values of x, y, and z are 90, 75, and 105, respectively.

Fraction refers to a part of a whole; e.g when cup is not completely filled, it covers only a part of the cup

The term fraction refers to a part of a whole. To design an instructional activity that  could help learners recognize that decimal fractions can be applied across environmental situations, we could look at certain things in the house.

For instance, when cup is not completely filled, it contains water that covers only an fraction of the cup. Also, we could boil a part and not a whole cup of rice. These are all examples of fractions.

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Answer:

5 6/7

Step-by-step explanation:

how many times does 7 go onto 41?

7 x 5 = 35

remainder is 6 so;

5 6/7

Hey there!

41/7

= (5 * 7 + 6)/7

= (5 * 7)/7 + 6/7

= 5 6/7

= 5 6/7 ≈ 41/7

Therefore, your answer is: 5 6/7

Good luck on your assignment and enjoy your day’

~Amphitrite1040:)

Answer: june is in the second quarter

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

.38 probability of getting two heads

Step-by-step explanation:

Let's take this problem step-by-step:

If a line is parallel to each other:

 ⇒ their slope must be equal

Thus the line parallel to: \(y=\frac{3}{4}x-4\)

 ⇒ that line's slope: 3/4

The point-slope form is: \((y-y_1)=m(x-x_1)\)

Let's put that line into the point-slope form:

 \((y-7)=\frac{3}{4}(x+1)\)  <== Answer

Hope that helps!

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Answer:

\(y - 7 = \frac{3}{4} (x+1)\)

Step-by-step explanation:

We are given the equation y = 3/4x-4, and we want to write an equation of a line that is parallel to y=3/4x-4, and that also passes through (-1, 7), in point-slope form.

Point-slope form is written as \(y-y_1=m(x-x_1)\), where \(m\) is the slope, and \((x_1, y_1)\) is a point

If two lines are parallel to each other, it means they have the same slope.

The line y = 3/4x-4 is written in the form slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.

As 3/4 is in the place of where m is, 3/4 is the slope of this line.

It is also the slope of our new line.

So we can substitute 3/4 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=\frac{3}{4} (x-x_1)\)

Now, we need to replace the values of \(x_1\) and \(y_1\) with a point.

Since we are given (-1, 7), and that it passes through the line, it means that we can use its values in the equation.

Note that we have subtraction in this equation, so when we use a negative number, we still write the subtraction sign in front of the minus sign the negative number has. Just because the number is already negative doesn't mean we ignore the minus sign the formula gives.

\(y-7=\frac{3}{4} (x--1)\)

We can simplify this equation, as --1 is the same as +1.

\(y-7=\frac{3}{4} (x+1)\)

Answer:

x₁ = 0

x₂ = 6

Step-by-step explanation:

9x² - 54x = 0

9x(x - 6) = 0

x(x - 6) = 0

x = 0

x - 6 = 0 → x = 6

Hope this helps! :)

Answer:

x₁ = 0

x₂ = 6

Step-by-step explanation:

9x² - 54x = 0

9x(x - 6) = 0

9x = 0 => x₁ = 0

x - 6 = 0 => x₂ = 6

Answer:

Y = 10.1 + 1.50x

Step-by-step explanation:

From the data contained in the computer output for linear regression

The coefficient of intercept = 10.1

coefficient of fertilizer = 1.50

Sample of an Equation of least squares regression line

y = a + bx

where : a = intercept , b = slope

hence the required equation will be

Y = 10.1 + 1.50x

y = yield , x = fertilizer

Answer:

3/12

Step-by-step explanation:
to rename the fraction with the common denominator of 12, u have to multiply 1/4 by 3/3 to get 3/12. You can check ur answer by simplifying your answer. 3/12=1/4

Answer:

3/12

Step-by-step explanation:

12÷4=3 so I would be 3/12

Answer:

w=7.25

Step-by-step explanation:

w + 1.5 = 8.75

1.5 - 8.75 = w

Answer:

2

Step-by-step explanation:

Rise/ run

y/x

Once you graph the ordered pairs you will have

(-2,-3) (-1,-1) etc...

it will work out to be up two over one 2/1 which equals two

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Answer:

x = 16

Step-by-step explanation:

I'd explain but I should also be doing school so I can no longer help you in your journey of greatness my friend...

Goodbye!

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Using quadratic formula:

Therefore, the solutions are:

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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Answer:

x=65

Step-by-step explanation:

x+65=2x

-x        -x

----------------

65=x

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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The best time for an American to buy a piece of machinery manufactured in Canada is March(3/13) and the reason is explained below.

A graph representing the Canadian dollar with respect to US dollar is given.

We have to found the best time to buy machinery built in Canada.

(i) We know that the best time to buy an imported machinery manufactured in Canada, is when we can buy most Canadian dollars for US dollars.

(ii) When trying to make a purchase from another currency, we must consider; Value of your currency against the foreign currency and chances of the future change in exchange rate.

So, from the graph we conclude that; "best time for American to buy a piece of machinery manufactured in Canada" is (03/13) that is march 2013.

Therefore , the best time to buy is March 2013, (3/13).

-- The given question is incomplete, the complete question is

"According to the graph (given below) , when would have been the best time for an American to buy a piece of machinery manufactured in Canada? Explain your answer in at least two complete sentences." --

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Answer:

$25.86

Original price. 30.00

Markdown percent 16%

Markdown 4.14

Step-by-step explanation:

Part 1

The equation is \(y=a(x+8)(x-72)\).

Using the point \((62, -490)\) to solve for \(a\),

\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)

Part 2

When \(x=-8\), \(y=0\).

When \(x=2\), \(y=-490\).

So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)

Answer:

5x^2

4x

-20x

Step-by-step explanation:

5x(x) = 5x^2

4(x)= 4x

5x(-4)= -20x

In the unitary method,

a) For 75km we need = 15 l

b) cost of 45m cloth is  Rs 564.75

c)  cost of 75 shirts is Rs 16875.

What is the unitary method?

The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

a) Here using unitary method , we need to find petrol for 1 km.

To travel 125 km we need 25 l pertrol. Then,

for to travel 1 km = \(\frac{25}{125} =\frac{1}{5} = 0.2 l\)

Then to travel 75km we need = 0.2×75 = 15 l.

b) Cost of 32m cloth = Rs. 401.60

Then cost of 1m cloth is = \(\frac{401.60}{32}=Rs 12.55\)

Now cost of 45m cloth is = 12.55×45 = Rs 564.75

c) Cost of 5 shirts = Rs 1125

Then cost of 1 shirt = \(\frac{1125}{5}=Rs 225\)

Now cost of 75 shirts = \(225\times75\) = Rs 16875.

Hence using unitary method the answers are,

a) For 75km we need = 15 l

b) cost of 45m cloth is  Rs 564.75

c)  cost of 75 shirts is Rs 16875.

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Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

Answer: True

Step-by-step explanation:

Answer:

53 in2 is the answer for this question

Answer:

53

Step-by-step explanation:

If you divide the figure into two parts by extending the 4 in side, you get a right triangle and a rectangle.

Area of rectangle:

6*8 = 48 in²

Area of triangle:

1/2*(13 - 8)*(6 - 4) = 1/2 times 5 times 2 = 5 in²

Total area is:

48 + 5 = 53 in²

hope this helps x

Answer:

i think it would be a 6in

Step-by-step explanation:

there is no difference because they are knifes and they both cut the same.

To cut up a 10-pound piece of raw meat more easily 9-inch knife will be best so option (A) will be correct.

Torque is bending moment at any axis and given by multiplication of perpendicular force and distance.

In another meaning torque is the intensity of an object to rotate,

For example, a door with less center distance needs to push more than a door with more center distance.

Torque is also useful for hydraulic machines where we need to generate high output as compared to low input.

Torque = force × distance.

Tighter material with more torque is required.

For example, if you want to close a door then you need more center distance but in the case of lower center distance, the force increases to compensate for the torque.

Given a raw meat

since raw meat has very strong bones so more torque is required hence, a 9-inch knife will be appropriate.

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