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Ipatiy [6.2K]
3 years ago
8

A new car was valued at $28,000, and it's value depreciated to $14,000 over the next 3 years. Use the exponential equation for d

epreciation to answer the following questions. A) What was the annual percent rate of depreciation, to 2 decimal places? Your answer will be a positive number. r r = %. B) Assume that the car value continues to drop by the same percentage. What will the value of the car be when the car is 10 years old? value = $ Round to the nearest dollar.
Mathematics
1 answer:
kompoz [17]3 years ago
8 0
The exponential equation (in thousands) is:
V = 28 e^{-rt}
plug in t=3 yrs, and solve for 'r'.
14 = 28 e^{-3r} \\  \\ \frac{1}{2} = e^{-3r}  \\  \\ ln(\frac{1}{2}) = -3r \\  \\ r = \frac{ln(\frac{1}{2})}{-3} = 0.231 = 23.1%

Find value of car when t = 10
V = 28e^{-2.31} = 2.779
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Answer:

2

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John held a garage sale. He priced all the items at a dime or a quarter. His sales totaled
Nikitich [7]

John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

<h3>What is a slope?</h3>

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He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

y= -\frac{2}{5}x+20\\

The slope is, -\frac{2}{5} and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

To know more about quadrant visit: brainly.com/question/7196312

#SPJ9

4 0
1 year ago
Let f(x)=cos(arctanx). What is the range of f?
Alenkasestr [34]
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0 < cos(arctan(x)) < 1
4 0
3 years ago
Use Pythagorean theorem!!! Will give b !!
aliina [53]

Answer:

The last one

Step-by-step explanation:

Hey There!

The Pythagorean Theorem states that

the two legs squared added together equal the hypotenuse square

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hope this helps!

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3 years ago
What expression is equivalent to 4.8 + 2.2w - 1.4 w - 2.4
motikmotik

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Step-by-step explanation:

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