Monday

October 20, 2014

October 20, 2014

Posted by **steve alexander** on Tuesday, November 25, 2008 at 8:41pm.

36.- What was the value of the automobile when it was new?

37.- What will be the value of the automobile after 10 years of use?

38.- How many years of use will the automobile have with a value of $10277?

39.- After how long of use does the value of the automobile reduce to the half?

40.- After how many years of use the value of the automobile reduces to the fourth part of its initial value?

41.- After how many years of use does the value of the automobile reduce to the third part of its initial velocity?

- calculus -
**Reiny**, Tuesday, November 25, 2008 at 10:35pmthe general equation would be

value = a(e)^(kt) where a is the initital vaue, and k is a constant

you end up with 2 equations:

34057.7 = a(e)^(7k) --- equation #1

72250 = a(e)^(5k) ----- eqution #2

I divided #1 by #2 to get .4713865 = e^2k

and got k = -.37604 using logs

put that back into #2 I got a = 473581

(a very unreasonable price for an automobile, but then again after 5 years it was still worth $72,000)

so now we have

Value = 473581(e)^-.37604t

and you can find any of the other answers quite easily.

**Answer this Question**

**Related Questions**

calculus - X. An automobile with seven years of use has a commercial value of $...

Math(Please check) - The value of an automobile was $15,780 in 1994 and ...

ALG 2/Trig - A new $12,000 automobile decreases in value every year. What is it'...

Calculus - The median value of a home in a particular market is decreasing ...

College Algebra - Value of Computer Software The value V, in dollars, of a ...

finance - A 5-year annuity of ten $4500 semiannual payments will begin 9 years ...

finance - Can someone please help me with the following question. I am not sure ...

math - The value of a new car decreases exponentially.Suppose your mother buys a...

math stuff - Do the exact calculation: 7182 x 2123= ________ Approximate to the ...

Calculus - After t years, the value of a car that originally cost $16,000 ...