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 7 years when $9000 is deposited in a savings account drawing 52% annual interest compounded continuously. (Round your answer to the nearest cent. $ 11702 (b) In how many years will the initial sum deposited have doubled? (Round your answer to the nearest year.) 12 years (c) Use a calculator to compare the amount obtained in part (a) with the amount S = 9000 1 + 7(4) that is accrued when interest is compounded quarterly. (Round your answer to the nearest cent.) S = $
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 7 years when $9000 is deposited in a savings account drawing 52% annual interest compounded continuously. (Round your answer to the nearest cent. $ 11702 (b) In how many years will the initial sum deposited have doubled? (Round your answer to the nearest year.) 12 years (c) Use a calculator to compare the amount obtained in part (a) with the amount S = 9000 1 + 7(4) that is accrued when interest is compounded quarterly. (Round your answer to the nearest cent.) S = $
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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