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10 February, 00:33

Tammy wishes to purchase a new laptop in 4 years. She makes quarterly deposits of $130 into an account that pays 4% per year compounded quarterly for 4 years. How much will she have towards the purchase of a new laptop in 4 years?

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  1. 10 February, 02:01
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    FV = $2,243.52

    Explanation:

    Giving the following information:

    Number of periods = 4*4 = 16

    Quarterly deposit = $130

    Interest rate = 4%

    First, we need to calculate the quarterly interest rate:

    Interest rate = 0.04/4 = 0.01

    Now, using the following formula, we can calculate the final value:

    FV = {A*[ (1+i) ^n-1]}/i

    A = annual deposit

    FV = {130*[ (1.01^16) - 1]} / 0.01

    FV = $2,243.52
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