Problem

How much will deposits of 240madeattheendofeach6monthsamounttoafter7yearsifinterestis7Thedepositswillamountto ?
(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)

Answer

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Answer

Final Answer: The deposits will amount to 11109.75

Steps

Step 1 :Translate the given problem into the formula for the future value of an ordinary annuity: FV=P[(1+r/n)(nt)1]/(r/n)

Step 2 :Identify the values given in the problem: P=240, r=0.07, n=2, and t=14

Step 3 :Substitute the given values into the formula: FV=240[(1+0.07/2)(214)1]/(0.07/2)

Step 4 :Solve the equation to find the future value of the deposits

Step 5 :Round the final answer to the nearest cent to get the final amount of the deposits

Step 6 :Final Answer: The deposits will amount to 11109.75

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