A doll sold for $253 in 1975 and was sold again in 1986 for $408. Assume that the growth in the value V of the collector's item was exponential. C a) Find the value k of the exponential growth rate. Assume V = 253. k= (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1975. V(t) = c) Estimate the value of the doll in 2009. (Round to the nearest dollar.) d) What is the doubling time for the value of the doll to the nearest tenth of a year? years (Round to the nearest tenth.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A doll sold for $253 in 1975 and was sold again in 1986 for $408. Assume that the growth in the value V of the collector's item was exponential.
a) Find the value k of the exponential growth rate. Assume V = 253.
k=
(Round to the nearest thousandth.)
b) Find the exponential growth function in terms of t, where t is the number of years since 1975.
V(t) =
c) Estimate the value of the doll in 2009.
$
(Round to the nearest dollar.)
d) What is the doubling time for the value of the doll to the nearest tenth of a year?
years
(Round to the nearest tenth.)
e) Find the amount of time after which the value of the doll will be $1730.
years
(Round to the nearest tenth.)
(1,0)
☐☐
H
√₁
Vi
More
Transcribed Image Text:A doll sold for $253 in 1975 and was sold again in 1986 for $408. Assume that the growth in the value V of the collector's item was exponential. a) Find the value k of the exponential growth rate. Assume V = 253. k= (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1975. V(t) = c) Estimate the value of the doll in 2009. $ (Round to the nearest dollar.) d) What is the doubling time for the value of the doll to the nearest tenth of a year? years (Round to the nearest tenth.) e) Find the amount of time after which the value of the doll will be $1730. years (Round to the nearest tenth.) (1,0) ☐☐ H √₁ Vi More
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