# math

posted by .

The value, V, of a \$25000 vehicle after y years is given by V = 25000 (0.85)y

What is the rate of depreciation? (1 mark)
What will the car be worth after 5 years? (1 mark)
To the nearest month, how long would it take to reduce the vehicle’s value to 10% of its original amount? (3 marks)

• math -

you probably meant

V = 25000 (.85)^y

a) replace y with 5
V = 25000(.85)^5
= ....

b) when is it worth 2500 ?
(.85)^y = .10
log both sides
log (.85^t) = log .10
t log .85 = log .10
t = log .10/log .85 = 14.168 years
or 14 years and 2 months

## Similar Questions

1. ### check/ help!

a new car depreciate by 20% in its first year. Each succeding year its depreciate by 10% assume the car is still good working condition after ten years. if the car costs \$25000, calculate the value of the car after 10 years?
2. ### Finance

a car sells for \$25000. if the rate depreciation is 15% what is the value of the car after 7 years
3. ### finance

a car sells for \$25000. if the rate depreciation is 15% what is the value of the car after 7 years
4. ### algebra

a car sells for \$25000. if the rate depreciation is 15% what is the value of the car after 7 years
5. ### math

The value, V, of a \$25000 vehicle after y years is given by V = 25000 (0.85)^y What is the rate of depreciation?
6. ### Math

The depreciation rate, r, for a \$50,000 news car is given by the function r = 1 - (V/50,000)^(1/5), where V is the value of the car when it is five years old. a) What is the depreciation rate for a \$50,000 BMW that is worth \$28,000 …
7. ### pre cal

you decide to buy a car for 25000. each year your car depreciates in value by 5% from its original value. After 15 years though, your used car will only be worth \$500 to a dealership. Write a piece wise function for C(t), car value …
8. ### 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) …
9. ### Math

Mark put \$3290 into a bank that offered 3% interest rate compounded monthly. Mark kept the money in this account for 9 years and then moved all this money to a new account that offered 6% interest rate compounded weekly. Do not round …
10. ### Math

A new car is purchased for \$15,000. In 10 years the same car has a scrap value of \$1000.00. The rate of depreciation of its value is constant each year. A determine an equation in the form y=mx+b to represent this situation B how much …

More Similar Questions