n investor purchased a piece of waterfront property. Because of the development of a marina in the vicinity, the market alue of the property is expected to increase according to the rule v(t) = 50,000e" here V(t) is measured in dollars and t is the time (in years) from the present. If the rate of appreciation is expected to %/year compounded continuously for the next 8 years, find an expression for the present value P(t) of the property's harket price valid for the next 8 years. (t) =| /hat is P(t) expected to be in 2 years? (Round your answer to the nearest cent.)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 442RE: Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26....
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An investor purchased a piece of waterfront property. Because of the development of a marina in the vicinity, the market
value of the property is expected to increase according to the rule
V(t) = 50,000e♥
where V(t) is measured in dollars and t is the time (in years) from the present. If the rate of appreciation is expected to be
4%/year compounded continuously for the next 8 years, find an expression for the present value P(t) of the property's
market price valid for the next 8 years.
P(t) =
What is P(t) expected to be in 2 years? (Round your answer to the nearest cent.)
$
Transcribed Image Text:An investor purchased a piece of waterfront property. Because of the development of a marina in the vicinity, the market value of the property is expected to increase according to the rule V(t) = 50,000e♥ where V(t) is measured in dollars and t is the time (in years) from the present. If the rate of appreciation is expected to be 4%/year compounded continuously for the next 8 years, find an expression for the present value P(t) of the property's market price valid for the next 8 years. P(t) = What is P(t) expected to be in 2 years? (Round your answer to the nearest cent.) $
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