Problem

QUESTION 11 POINT
Steve invests $200 into an account with a 2.6% interest rate that is compounded quarterly. How much money will he have in this account if he keeps it for 10 years?

Round your answer to the nearest dollar.

Provide your answer below:
$

Answer

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Answer

Final Answer: 259 dollars.

Steps

Step 1 :Define the variables: Principal amount (P) = $200, Interest rate (r) = 2.6%, Number of times interest applied per time period (n) = 4, Number of time periods the money is invested for (t) = 10 years.

Step 2 :Calculate the future value (FV) using the formula: FV=P×(1+rn)n×t

Step 3 :Substitute the values into the formula: FV=200×(1+0.0264)4×10

Step 4 :Calculate the future value: FV=259.16787310873997

Step 5 :Round the result to the nearest dollar: FVrounded=259

Step 6 :Final Answer: 259 dollars.

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