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9 August, 01:47

John deposited $800 dollars in a bank that pays 5% interest per year. Find how many years it would take for his money to grow $950? Round your answer to the nearest decimal place.

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  1. 9 August, 04:19
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    It will take 3 years and 9 months or simply 3.75 years

    Step-by-step explanation:

    For his money to grow to $950, this means he had earned an interest of the value $950 - $800 = $150

    Now, to calculate the number of years it took to earn this interest, we make use of the simple interest formula

    mathematically,

    I = PRT/100

    since we are looking for T, we can rewrite the equation to be?;

    100I = PRT

    T = 100I/PR

    where I is the interest which is $150

    R is the rate charged on the deposit and that is 5% per annum

    P is the amount deposited initially which is 800

    while I is the interest which is $150

    Now plugging these values;

    T = (100 * 150) / (5 * 800)

    T = 15000/4,000 = 3.75 years or simply 3 + (0.75 * 12) = 3 years 9 months
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