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Yolanda Wants to Buy a Bond That Will Mature to 5000 in Six Years . How Much Should She Pay for the Bond Now If It Earns Interest at a

Problemas

Yolanda wants to buy a bond that will mature to 5000 in six years . How much should she pay for the bond now if it earns interest at a rate of 2.5% per year,compounded continuously? Do not round any intermediate computations , and round your answer to the nearest cent. square

Roztwór

María maestro · Tutor durante 5 años
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Respuesta

To solve this problem, we need to use the formula for continuous compounding interest: Where:- is the amount of money accumulated after time - is the principal amount (the initial amount of money)- is the annual interest rate (expressed as a decimal)- is the time the money is invested for (in years)- is the base of the natural logarithm (approximately equal to 2.71828)Given:- - yearsWe need to find , the amount Yolanda should pay for the bond now.Rearranging the formula to solve for : Substituting the given values: First, calculate the exponent: Next, calculate : Now, divide value by this amount: Therefore, Yolanda should pay approximately \$4304.63 for the bond now.