F.4 Maths

The value of a new car is $500 000.The value $V of the car depreciates
according to the formula below:

V= a‧3bt
where a and b are constants and t is the time taken in months.

a)Find the constant a. (ans: 500 000)

b)After 2 yars ,the value of the car is $300 000,find the value of b,correct to

3 significant figures. ( ans: -0.0194)

c)Find the value of the car after 10 months correct to the nearest dollar.
(ans:404141)

d)For how long will the value of the car be half of the original?
( 33 months)

e)If the car is resold at $ 100 000,what is the maximum age of the car?
(ans: 75 months)