a. Write an exponential decay model giving the car's value V (in dollars) after t years.
b. What is the value of the car after 3 years?
c. Graph the model (if you could just tell me how that'd be awesome….)
d. In approximately how many years is the car worth $5300?
***EVEN if you can only help me with one PLEASE do that'd still be great. I am really stumped on ALL of this. 10 points as soon as I can to the best answer!
* 11 minutes ago
* – 4 days left to answer.
Additional Details
I don't have a working calculator!!! And PLEASE explain HOW you got those answers??
Suggestion:
a V = (.75)^t * ($22500)
b V = (.75)^3 (22500) = 9492.19
c just plot a few points and graph it
(0, 22500)
(1, 13875)
(2, 12565.25)
(3, 9492.19 )
(7, 3003.39)
(10, 1267.05)
(15, 300.68)
d 5300 = (.75)^t (22500)
.235556 = (.75)^t
ln(.235556) = ln[(.75)^t]
ln(.235556) = t*ln(.75)
t = ln(.235556) / ln ( .75)
t = 5.026
fyi: there are many online calculators you can use. Just google online calculator or use this one
http://www.math.com/students/calculators/source/scientific.htm

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