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Dmitry_Shevchenko [17]
3 years ago
11

Alexis has a savings account that earns 2.1% interest compounded daily. If she opened the account 17 years ago with a deposit of

$2,914.72, how much interest has Alexis earned?
Mathematics
1 answer:
sergejj [24]3 years ago
5 0

Compound Interest Formula:  A = P(1 + r/n)^(n·t)

A = final amount                  r = rate, as a decimal (.021)                      t = number of years (17)

P = initial amount (2914.72)    n = number of times compounded per year (365)

A  =  2914.72(1 + .021/365)^(365·17)  =  $4165.20

Interest earned:  $4165.20 - $2914.72  =  $1250.48           <-----  Answer

You might want to recalculate this, attempting to handle leap years, by replacing the number of times compounded per year with 365.25 and see if that has an effect

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Step-by-step explanation:

1. You have the following information:

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2. Therefore, you can calculate the lenght of the segment QS as following:

cos80=\frac{adjacent}{hypotenuse}

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3. Substitute values and solve for QS:

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