2. Edwin receives a 4.3% commission for selling household cleaning supplies. What is his commission on sales of $140,320?

Answer:

49

Step-by-step explanation:

You first simplify (1/7)^2 which is 7^2 then you get 49.

Answer:

49

Step-by-step explanation:

did it

16 boxed lunch cost $187.2.

Given that a company orders 20 boxed lunches from a deli for $234.00.

Each boxed lunch costs the same amount.

20 boxed lunches from a deli for $234

1 boxed lunches from a deli for $234/20 = $11.7

Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2

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Answer:

B

Step-by-step explanation:

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Answer:

•the range of packages shipped to rare vinyl is greater than the range of packages shipped to aquarium world.•

•The distribution of the data for packages shipped to both business is approximately symmetrical.•

Step-by-step explanation:

I took the test

Answer:

A) [-1, 1.5]

B) (-infinity, -1] U [1.5, infinity)

#1

\(\\ \sf\longmapsto slope=m=\dfrac{-4-5}{2+4}=\dfrac{-9}{6}=\dfrac{-3}{2}\)

Hence equation of the line

\(\\ \sf\longmapsto y=mx+b\)

\(\\ \sf\longmapsto y+4=\dfrac{-3}{2}(x+2)\)

Option D

#2.

(-2,4)

Verification

\(\\ \sf\longmapsto 4-4=-3(-2+2)\)

\(\\ \sf\longmapsto 0=0\)

Option B

Solution

5x<-40

For this case if we divide in both sides of the inequality by 5 we have:

5x/5 > -40/5

x> -8

The correct answer is (C) SSS Similarity. The ratio of AA' to AB will be constant and equal to the scale factor. Similarly, the ratio of A'B' to AB will also be equal to the scale factor.

The correct answer is (C) SSS Similarity.

In a dilation, the image of a figure is created by enlarging or reducing it while maintaining the same shape. The scale factor determines the ratio of the lengths of corresponding sides between the original figure and its image.

In the given problem, we have AABC as the original figure, and AA'B'C' as its image under a dilation with the center at (0,0). To determine the scale factor, we need to compare the corresponding side lengths of the two figures.

In SSS (Side-Side-Side) similarity, we compare the ratios of the corresponding side lengths. If all corresponding side lengths have the same ratio, the figures are similar. In this case, we can compare the lengths of AA', AB, and A'B' to determine the scale factor.

Since the center of dilation is at (0,0), AA' and AB are radii of the same circle centered at (0,0). Therefore, the ratio of AA' to AB will be constant and equal to the scale factor. Similarly, the ratio of A'B' to AB will also be equal to the scale factor.

Hence, by comparing the lengths of corresponding sides AA', AB, and A'B', we can determine the scale factor. If all three ratios are equal, which is the case for SSS similarity, then the scale factor remains constant.

Therefore, the correct answer is (C) SSS Similarity.The correct answer is (C) SSS Similarity.

In a dilation, the image of a figure is created by enlarging or reducing it while maintaining the same shape. The scale factor determines the ratio of the lengths of corresponding sides between the original figure and its image.

In the given problem, we have AABC as the original figure, and AA'B'C' as its image under a dilation with the center at (0,0). To determine the scale factor, we need to compare the corresponding side lengths of the two figures.

In SSS (Side-Side-Side) similarity, we compare the ratios of the corresponding side lengths. If all corresponding side lengths have the same ratio, the figures are similar. In this case, we can compare the lengths of AA', AB, and A'B' to determine the scale factor.

Since the center of dilation is at (0,0), AA' and AB are radii of the same circle centered at (0,0). Therefore, the ratio of AA' to AB will be constant and equal to the scale factor. Similarly, the ratio of A'B' to AB will also be equal to the scale factor.

Hence, by comparing the lengths of corresponding sides AA', AB, and A'B', we can determine the scale factor. If all three ratios are equal, which is the case for SSS similarity, then the scale factor remains constant.

Therefore, the correct answer is (C) SSS Similarity.

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In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

Answer:

The rate of change of the surface area of the sphere is 0.99 cm²/s.  

Step-by-step explanation:

The surface area (A) of a sphere is given by:

\( A = 4\pi r^{2} \)                      

If we derivate the above equation with respect to the time we have:

\( \frac{dA}{dt} = 4\pi (2r)\frac{dr}{dt} \)

\( \frac{dA}{dt} = 8\pi r\frac{dr}{dt} \)    (1)

Where:          

r: is the radius    

We need to find \(\frac{dr}{dt}\) and r.

From the volume we can find the radius:

\( V = \frac{4}{3}\pi r^{3} = 256 \frac{\pi}{3} cm^{3} \)  

\( r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*256*\frac{\pi}{3}}{4\pi}} = 4 cm \)                

And by derivating the volume of the sphere with respect to the time we can calculate \(\frac{dr}{dt}\):  

\(\frac{dV}{dt} = \frac{4}{3}\pi(3r^{2})\frac{dr}{dt}\)

\(\frac{dV}{dt} = 4\pi r^{2}\frac{dr}{dt}\)          

\( \frac{dr}{dt} = \frac{\frac{dV}{dt}}{4\pi r^{2}} = \frac{2}{4\pi(4)^{2}} = 0.0099 cm/s \)      

Now, we can calculate the rate of change of the surface area (equation 1):

\( \frac{dA}{dt} = 8\pi r\frac{dr}{dt} = 8\pi*4*0.0099 = 0.99 cm^{2}/s \)

Therefore, the rate of change of the surface area of the sphere is 0.99 cm²/s.  

I hope it helps you!          

Answer:

(3, 2)

Explanation:

======================

substitute equation 2 into 1

find y

solution

Answer:

(3, 2)

Step-by-step explanation:

Given

Equation 1:  y = -2x + 8

Equation 2:  y = x - 1

Solving by Substitution

Substitute Equation 2 into Equation 1 and solve for x:

⇒ x - 1 = -2x + 8

Add 2x to both sides:

⇒ 3x - 1 = 8

Add 1 to both sides:

⇒ 3x = 9

Divide both sides by 3:

⇒ x = 3

Now substitute the found value of x into Equation 2 and solve for y:

⇒ y = 3 - 1

⇒ y = 2

Therefore, the solution is (3, 2)

Answer:

The rate of the boat in still water is 73 km per hour, and the speed of the current is 24 km per hour.

Step-by-step explanation:

Given that a motorboat travels 441 kilometers in 9 hours going upstream and 388 kilometers in 4 hours going downstream, to determine what is the rate of the boat in still water and what is the rate of the current, the following calculation must be performed:

Upstream = 441/9 = 49 km per hour

Downstream = 388/4 = 97 km per hour

(97 + 49) / 2 = X

146/2 = X

73 = X

97-73 = 24

49-74 = -24

Therefore, the rate of the boat in still water is 73 km per hour, and the speed of the current is 24 km per hour.

Answer:

\( \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2\)

Let x be the number we are searching for.

(3/4)x = 1/10

Answer:

x^2 - 9 = 0

Step-by-step explanation:

its right one.......

Answer:

that means 129 went down to 32, so you have to find the the difference or what number made 129 down to 32. 129-97=32

Answer:

Step-by-step explanation:

4(4) = -7(-3) - 5

16 = 21 - 5

16 = 16

answer is D

Answer: (-3.4)

Step-by-step explanation: took test 6.02

Foundations wrap up Systems of Equations

Answer:

3 cups clearly

Step-by-step explanation:

Answer: He will need one cup of milk per serving, so he needs 3 total

Step-by-step explanation: 1 x 3 = 3

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

first you didn't tell us how much money eliana saves. you just said about Lana's saving.

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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Answer:

$6,722.63

Step-by-step explanation:

Now: $10,200

In 1 year: 0.92 × $10,200 = $9,384

In 2 years: 0.92 × $9,384 = $8,633.28

In 3 years: 0.92 × $8,633.28 = $7,942.6176

In 4 years: 0.92 × $7,942.6176 = $7,307.208192

In 5 years: 0.92 × $7,307.208192 = $6,722.63

Answer: $6,722.63

Answer:

$6,722.63

Step-by-step explanation:

Using this formula A=P(1-d/100)^n where

A = Amount

P = Principal

d = percent

n = number of year

A=P(1-d/100)^n

A = 10,200(1-8/100)⁵

A = 10,200(1-0.08)⁵

A = 10,200(0.92)⁵

A = 10,200(0.6591)

A= $6,722.63

Given:

Expression is

at x = 4 and y = 2.

Required:

Evaluate the expression.

Explanation:

We will put values of x and y in given expression

Answer:

Value of expression at x =4 and y=2 is 24.

Answer:

Help her around the house.

Step-by-step explanation:

If shes like nice sometimes, then go hug her or give her some water.

For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2