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The local home improvement store has a washing machine on sale for $659, with the payment due in 1 year(s) from today. The store is willing to discount the price at an annual rate of 8.0 percent (compounded annually) if you pay today. What is the amount if you pay for the washing machine today? Round the answer to two decimal places

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Final answer:

The present value of the washing machine that costs $659 due in one year with an 8% discount rate is $610.19.

Step-by-step explanation:

The student is asking how to calculate the present value of a washing machine that has a future payment due in one year, given an annual discount rate. To determine the present value, you would use the formula for present value which is: Present Value = Future Value / (1 + r)^n, where r is the annual interest rate (expressed as a decimal) and n is the number of years.

In this case, the future value of the washing machine is $659, the annual interest rate is 8.0% or 0.08, and the number of years is 1. Plugging these values into the formula gives:

Present Value = $659 / (1 + 0.08)^1 = $659 / 1.08 = $610.19

Thus, the amount you would pay for the washing machine today is $610.19, after rounding to two decimal places.

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