$1000 is invested for n years at 10% compounded continuously, the future value that results after n years is given by the function : S = 1000 e0.1 n a) At what rate is the future value growing at any time (for any non-negative value of n.) ? (Hint : rate suggests derivative.) b) At what rate is the future value growing after 1 year ? (n = 1)
$1000 is invested for n years at 10% compounded continuously, the future value that results after n years is given by the function : S = 1000 e0.1 n a) At what rate is the future value growing at any time (for any non-negative value of n.) ? (Hint : rate suggests derivative.) b) At what rate is the future value growing after 1 year ? (n = 1)
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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If $1000 is invested for n years at 10% compounded continuously, the future value that results after n years is given by the function :
S = 1000 e0.1 n
- a) At what rate is the future value growing at any time (for any non-negative value of n.) ? (Hint : rate suggests derivative.)
- b) At what rate is the future value growing after 1 year ? (n = 1)
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