Problem

Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
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Answer

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Answer

Round the account balance to two decimal places: 67170.71

Steps

Step 1 :Given the principal amount (P) is $59,458, the annual interest rate (r) is 3.5% or 0.035 in decimal form, the number of times that interest is compounded per year (n) is 4 (quarterly), and the time the money is invested for (t) is 3.5 years.

Step 2 :We use the compound interest formula to find the account balance (A): A=P(1+rn)nt

Step 3 :Substitute the given values into the formula: A=59458(1+0.0354)43.5

Step 4 :Calculate the account balance: A = 67170.71402733811

Step 5 :Round the account balance to two decimal places: 67170.71

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