SOLUTION: On march 20, Soren Kierkegaard deposited 1,000 into his savings account that pays 5.5% interest compounded daily. How much interest will the money earn by April 20?

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Question 1146328: On march 20, Soren Kierkegaard deposited 1,000 into his savings account that pays 5.5% interest compounded daily. How much interest will the money earn by April 20?
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The 5.5% (= 0.055) is the annual interest rate. For daily compound interest, a year is often considered 360 days; so the daily interest rate is 0.055/360.

March 20 to April 20 is 31 days, so the amount on April 20 will be

1000%281%2B0.055%2F360%29%5E31

Use a calculator....

(You can of course use 0.055/365 -- or even 0.055/365.25 -- in that calculation if you want.)