(a) Find the amount of money accrued at the end of 8 years when $5000 is deposited in a savings account drawing 5% annual interest compounded continuously. (Round your answer to the nearest cent.) (b) In how many years will the initial sum deposited have doubled? (Round your answer to the nearest year.) years 8(4) that is accrued when interest is compounded quarterly. (Round your (c) Use a calculator to compare the amount obtained in part (a) with the amountS = 500 answer to the nearest cent.) S = $

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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When interest is compounded continuously, the amount of money increases at a rate proportional to the amount S present at time t, that is, dS/dt = rs, where r is the annual rate of
interest.
(a) Find the amount of money accrued at the end of 8 years when $5000 is deposited in a savings account drawing 52% annual interest compounded continuously. (Round your answer
to the nearest cent.)
(b) In how many years will the initial sum deposited have doubled? (Round your answer to the nearest year.)
years
8(4)
that is accrued when interest is compounded quarterly. (Round your
(c)
Use a calculator to compare the amount obtained in part (a) with the amount S = 5000
answer to the nearest cent.)
S = $
Transcribed Image Text:When interest is compounded continuously, the amount of money increases at a rate proportional to the amount S present at time t, that is, dS/dt = rs, where r is the annual rate of interest. (a) Find the amount of money accrued at the end of 8 years when $5000 is deposited in a savings account drawing 52% annual interest compounded continuously. (Round your answer to the nearest cent.) (b) In how many years will the initial sum deposited have doubled? (Round your answer to the nearest year.) years 8(4) that is accrued when interest is compounded quarterly. (Round your (c) Use a calculator to compare the amount obtained in part (a) with the amount S = 5000 answer to the nearest cent.) S = $
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