Knowee
Questions
Features
Study Tools

The dollar value vt of a certain car model that is t years old is given by the following exponential function.=vt20,0000.90tFind the initial value of the car and the value after 13 years.Round your answers to the nearest dollar as necessary.Initialvalue: $Valueafter13years: $

Question

The dollar value vt of a certain car model that is t years old is given by the following exponential function.=vt20,0000.90tFind the initial value of the car and the value after 13 years.Round your answers to the nearest dollar as necessary.Initialvalue: Valueafter13years:Valueafter13years:

🧐 Not the exact question you are looking for?Go ask a question

Solution

The initial value of the car is found by substituting t = 0 into the equation.

So, v0 = 20,000 * 0.90^0 = $20,000

The value of the car after 13 years is found by substituting t = 13 into the equation.

So, v13 = 20,000 * 0.90^13 = $5,354

So, the initial value of the car is 20,000andthevalueafter13yearsisapproximately20,000 and the value after 13 years is approximately 5,354.

Similar Questions

A new car is purchased for 20800 dollars. The value of the car depreciates at 10.75% per year. What will the value of the car be, to the nearest cent, after 13 years?

Prakash bought a new car at the dealership for $27,000. It is estimated that the value of the car will decrease 7% each year. Which exponential function models the value v of the car after t years?A.𝑣=27,000(0.93)𝑡v=27,000(0.93) t B.𝑣=27,000(1.3)𝑡v=27,000(1.3) t C.𝑣=27,000(1.03)𝑡v=27,000(1.03) t D.𝑣=27,000(0.3)𝑡v=27,000(0.3) t SUBMITarrow_backPREVIOUS

The initial value of a car is $32,000. Each year, the value of the car declines 12%.a. Write a rule for the value of the car $a_n$an​​ at the start of the $n^{th}$nth​ year.$a_n=$an​=​ Question 2b. Find the value of the car after 7 years to the nearest dollar.$

A car is purchased for $15,500. After each year, the resale value decreases by 20%. What will the resale value be after 3 years?Use the calculator provided and round your answer to the nearest dollar.

A car's value depreciates by 20% each year. If the current value of the car is $15,000, what will be its value after one year?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.