# more logarithms help!

posted by .

the depreciated value, V, of a car can be calculated using V = C91-r)^n, where C is the original value, r is the rate of depreciation per yeat and n is the age of the car in years. how long would it take for a \$24,000 car to be reduced to a value of \$2500 if the car is depreciationg at a rate of 15% per year?

• more logarithms help! -

24000(1-0.15)^n = 2500

Now solve for n. First step is

.85^n = 2500/24000

## Similar Questions

1. ### Algebra

The value of almost everything you own, such as a car, computer, or appliance, depreciates over time. When the value decreases by a fied amount each year, the depreciation is called straight-line depreciation. Suppose your car has …
2. ### Algebra1

3. Jackson bought a car for \$11,000.00. After 2 years, the value of the car is \$7,860.00. If the value of the car depreciated linearly, how much did the car depreciate each year?
3. ### math

a car depreciates in by avalue of \$1000 per year. The original value of the car is \$30,000. Let V(x) be the value of the car in x years. Write the linear function that represent the value of the car in x years. what will be the value …
4. ### Algebra

Three years after purchase, a car is estimated to be worth \$24,000. At five years, its value is \$19,000. If the car is depreciating in a linear manner, write an equation that represents the depreciation of the car. Answer the following …
5. ### Algebra

The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. A car was purchased 6 years ago for \$25,000. If the annual depreciation …
6. ### Algebra

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The …
7. ### maths

a car depreciates at rate of 10%per year. the car cost £20000 new. (a) explain why the car wont be worth £16000 after 2 years (b) show that the car will be worth £16200 after 2 years and find the value of the car after 3 years (c) …
8. ### Math

Determine how many years it would take for the value of a car to depreciate to 25% of its original value, if the rate of depreciation, based on the reducing balance method, is 16 % per annum.
9. ### Math

in 2016, you purchased a new car for \$20,000. The value of the car depreciates at a rate of 18% per year. The value V of the car after t years is given by the function V(t)=20000(0.82)t. When will the car be worth three-quarters of …
10. ### math

mr.rich bought a car for 6000000.the yearly depreciation for his car is 10% of its original value at the start of the year.what is its value after 4 years?

More Similar Questions