If interest in a bank account is compounded continuously, the amount grows at a rate that is proportional to the amount present in the account. Interest that is compo amount in an account after one year if $1000 is placed in the account and it pays 5% interest per year, compounded continuously. After 1 year the account balance will be approximately $. (Round to the nearest cent as needed.)

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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If interest in a bank account is compounded continuously, the amount grows at a rate that is proportional to the amount present in the account. Interest that is compounded daily very closely approximates this situation. Determine the
amount in an account after one year if $1000 is placed in the account and it pays 5% interest per year, compounded continuously.
After 1 year the account balance will be approximately $.
(Round to the nearest cent as needed.)
Transcribed Image Text:If interest in a bank account is compounded continuously, the amount grows at a rate that is proportional to the amount present in the account. Interest that is compounded daily very closely approximates this situation. Determine the amount in an account after one year if $1000 is placed in the account and it pays 5% interest per year, compounded continuously. After 1 year the account balance will be approximately $. (Round to the nearest cent as needed.)
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