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WITCHER [35]
2 years ago
12

An automobile depreciates, or loses value, as it gets older. Suppose that a particular automobile

Mathematics
1 answer:
steposvetlana [31]2 years ago
5 0
First we need to find what is 20% off $23,999
1) = 20/100 x 23,999= $4,799
To find the decrease over 6 years :
2)= $4,799 x 6 = $28,798.8

Finally
= 28,798.8-23,999= $4,799.8

$4,799.8 is the final value.
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Identify the inverse g(x) of the given relation f(x).<br> f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}
Keith_Richards [23]

Answer:

The inverse g(x) = 2x + 2

Step-by-step explanation:

* Lets explain the inverse of a function

- To find the inverse of any function we switch the x and y then

 we solve to find the new y

- The domain of the function is the values of x and the range of

 the function is the values of y

- The domain of the inverse function is the values of y and the

 range of the inverse function is the values of x

- Lets solve the problem

∵ f(x) = {(8 , 3) , (4 , 1) , (0 , -1) , (-4 , -3)}

- To find the inverse g(x) lets find f(x) from the order pairs

∵ x-coordinates are decreases by 4 and y-coordinates are

  decreases by 2

∴ The relation represents the linear function

- The form of the linear function is f(x) = mx + c , where m is the

  slope of the line and c is the y-intercept

∵ The slope of the line whose endpoints are (x1 , y1) and (x2 , y2)

  is m = (y2 - y1)/(x2 - x1)

- We can find the slope from any two order pairs

∵ (x1 , y1) = (8 , 3) and (x2 , y2) = (4 , 1)

∴ m = [1 - 3]/[4 - 8] = -2/-4 = 1/2

∵ f(x) = mx + c

∴ f(x) = 1/2 x + c

- The y-intercept means the line intersect the y-axis

  at point (0 , c)

∵ There is a point (0 , -1)

∴ c = -1

∴ f(x) = 1/2 x - 1

- To find the inverse of the function switch x and y and solve to

  find the new y

∵ y = 1/2 x - 1 ⇒ switch x and y

∴ x = 1/2 y - 1 ⇒ add 1 to both sides

∴ x + 1 = 1/2 y ⇒ Multiply both sides by 2

∴ 2(x + 1) = y

∴ y = 2x + 2

∵ g(x) is the inverse of f(x)

∵ The inverse of f(x) is 2x + 2

∴ g(x) = 2x + 2

3 0
3 years ago
What number is 80% out of 50?
ValentinkaMS [17]
It is saying that 80/100 which is .80, so 50*80%= 40
5 0
2 years ago
I am so confused can someone help me asap??
erica [24]
Can you take a more clear picture?? I can’t read it well. Looks like the awnser may be congruent. Yes
5 0
3 years ago
Find P(6) when p = 0.45
Finger [1]

Answer:

2.7

Step-by-step explanation:

6 0
3 years ago
A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 5%, what is the total price of the CD, including tax?
Vedmedyk [2.9K]

Answer:

$14.28

Step-by-step explanation:

If the CD is $17 and is have a 20% off then you multiply .20 and 17 to get the amount that is off. Subtract that answer from 17 and you should get $13.60. That is the cost of the CD WITHOUT tax. To apply the tax, you multiply the cost and 0.05 (5%) to get 0.68. 0.68 is the tax cost. To get the entire cost of the CD, you add 0.68 (tax) and price (13.60) and get $14.28.

5 0
3 years ago
Read 2 more answers
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