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Ana invested 5500 six years ago into a savings account which has since paid interest at a nominal interest rate compounded quarterly. Her investment

Ana invested 5500 six years ago into a savings account which has since paid interest at a nominal interest rate compounded quarterly. Her investment is now worth 6580.27 (a) Find the nominal interest rate per year. (b) How long will it take her investment to grow to an amount of $7500 if the nominal interest rate is 3% compounded quarterly? Note: Write your answers with four decimal places.

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