SOLUTION: The inflation rate is 3.5% each year. If the cost of car is $10,000, find a function c(t) that gives cost of the car t years from now.

Algebra.Com
Question 62666: The inflation rate is 3.5% each year. If the cost of car is $10,000, find a function c(t) that gives cost of the car t years from now.
Found 2 solutions by josmiceli, uma:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
In t years the increase in cost due to inflation
is 10000*.035*t
The cost of the car will be what it costs now
plus the increase in cost

answer

Answer by uma(370)   (Show Source): You can put this solution on YOUR website!
Cost of the car = $10,000
Inflation rate = 3.5%
= 0.035
cost of the car in the next year = 10,000* (1.035)
That is cost of the car 1 year from now = 10000*(1.035)^1
==> cost of the car t years from now = 10000*(1.035)^t
c(t) = 10,000*(1.035)^t

Good Luck!!!

RELATED QUESTIONS

If a car costs $10,000 today, and the CPI calculates an inflation rate of 3% this year,... (answered by ptfile)
The function C(t)=C0(1+r)t models the rise in the cost of a product that has a cost of C0 (answered by ikleyn)
If the annual rate of inflation averages 5% over the next 10 years, then the approximate... (answered by jorel1380)
The function C(t)=C(1+r)t models the rise in the cost of a product that has a cost of C... (answered by Boreal)
This is a word problem that i am not so good with can someone please help! The cost of a... (answered by checkley75)
Depreciation on a car can be determined by the formula V=C(1-r)^t , where V is the value... (answered by lwsshak3)
I have been stuck trying to solve this for quite some time and is still having difficulty (answered by math_helper,stanbon)
Suppose that in the year 2000, the cost of a compact car averaged $ 12700 and that in... (answered by josmiceli)
The sticker on a new car gives the fuel efficiency as 22.2 miles per gallon. The average... (answered by CubeyThePenguin)