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1 June, 03:11

Terrence opens a savings account with a deposit of $1000. After 1 year he receives $50 in interest. What is the annual interest rate a) 5%. B) 20% c) 10% D) 15%

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  1. 1 June, 03:18
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    Step-by-step explanation:

    So, I'm pretty sure this is a problem about compound interest.

    The formula for compound interest is A = p (1 + r/n) ^nt

    For this problem, $1000 is p, the initial amount; A is the total amount, or $1050.

    What the problem is asking for is r, the interest rate, which is divided by n. N is the number of times the interest rate is compounded per year; Since the question is asking for the annual interest rate, N would be equal to 1. And because Terrence is has only left his money in for a year, t would also be equal to one.

    So, by filling in the formula some, we get this:

    $1050 = $1000 (1 + r/1) ^1*1

    To find r, we would need to isolate it in the problem.

    1. First, distribute $1000 to the parenthesis (keep in mind that 1000, is also equal to 1000/1:

    1050 = (1000 + 1000r/1) ^1

    2. Then subtract 1000 from both sides:

    50 = (1000r/1) ^1

    3. Multiple both sides by one:

    50 = (1000r) ^1

    4. Divide both sides by 1000:

    .05 = r^1 or. 05 = r.

    The answer is A, 5%.
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