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lilavasa [31]
1 year ago
15

The coleman family purchased a camper van for $38,000. the van is predicted to depreciate by about 15% each year. write an expon

ential equation in the form y=a(b)x that can model the value of the van, y, in x years.
Mathematics
1 answer:
forsale [732]1 year ago
4 0

The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .

In the question ,

it is given that

the present value of the camper van (P₀) = $38000

given the depreciation rate is 15% each year (r)= -0.15

The future value y ,of the camper van can be given by the formula

y = P₀*(1 + r)ˣ

On putting the values , we get

y = 38000*( 1 - 0.15)ˣ

y = 38000*(0.85)ˣ

Therefore , The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .

Learn more about Exponential Equation here

brainly.com/question/22687491

#SPJ1

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Hence, the correct option is (D)There are no extraneous solutions to the equation.

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8 0
1 year ago
A driver travels for 2 hours at 80 miles per hour, during
algol [13]

Answer:

$84

Step-by-step explanation:

Find how many miles she traveled by multiplying 80 and 2.

80 × 2 = 160 miles

Next find out how much she gets paid for her mileage by multiply $0.60 and 160.

160 × $0.60 = $96.00

Now find out how much she spent on gas. She gets 40 miles per gallon so solve how many gallons she used by dividing 160 by 40.

160 ÷ 40 = 4 gallons

Then multiply 4 gallons by $3.00

4 × 3 = $12

To find the net rate of pay subtract 96 and 12

$96 - $12 = $84

8 0
3 years ago
Read 2 more answers
What is the approximate area of a 70 decree sector of a circle with a radius of 8 inches
puteri [66]
The area of the sector will also be 70/360
Sector area = 70/360 • pir^2
= 7/36 • pi • 8^2
A= 112/9 • pi
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3 0
3 years ago
Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9.84%, compounded eve
Alenkasestr [34]
The question is an annuity question with the present value of the annuity given.
The present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / (r/t) where PV = $61,600; r = interest rate = 9.84% = 0.0984; t = number of payments in a year = 6; n = number of years = 11 years and P is the periodic payment.
61600 = P(1 - (1 + 0.0984/6)^-(11 x 6)) / (0.0984 / 6)
61600 = P(1 - (1 + 0.0164)^-66) / 0.0164
61600 x 0.0164 = P(1 - (1.0164)^-66)
1010.24 = P(1 - 0.341769) = 0.658231P
P = 1010.24 / 0.658231 = 1534.78
Thus, Niki pays $1,534.78 every two months for eleven years.
The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48
Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48
8 0
3 years ago
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Omar saved the same amount of
xz_007 [3.2K]

Answer:

Omar saved 10 dollars in total

Step-by-step explanation:

total= 2.5*4

total= $10

3 0
2 years ago
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