Suppose $17,000 is invested in an account that earns 4.4% interest. (a) Write an equation for a function V that gives the value of the account after t years if interest is compounded monthly. V(t) = (b) Compute V'(3.7). (Round your answer to two decimal places.) $ per year Interpret your answer. After 3.7 years, the value of the account is increasing at a rate of $ per year.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Suppose $17,000 is invested in an account that earns 4.4% interest.
(a) Write an equation for a function V that gives the value of the account aftert years if interest is compounded
monthly.
V(t) =
(b) Compute V '(3.7). (Round your answer to two decimal places.)
$
per year
Interpret your answer.
After 3.7 years, the value of the account is increasing at a rate of $
per year.
Transcribed Image Text:Suppose $17,000 is invested in an account that earns 4.4% interest. (a) Write an equation for a function V that gives the value of the account aftert years if interest is compounded monthly. V(t) = (b) Compute V '(3.7). (Round your answer to two decimal places.) $ per year Interpret your answer. After 3.7 years, the value of the account is increasing at a rate of $ per year.
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