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A company borrows money as needed on the first day of the month and repays principal and interest on the last day of the budget period, if cash is available.  For the third quarter of the year, they borrowed $5,000 in July, $7,000 in August and $4,000 in June.  The interest rate is 1% per month.  Assuming enough money is available on June 30th to repay the debt, the total amount of interest due is $

Question

A company borrows money as needed on the first day of the month and repays principal and interest on the last day of the budget period, if cash is available.  For the third quarter of the year, they borrowed 5,000inJuly,5,000 in July, 7,000 in August and 4,000inJune. Theinterestrateis14,000 in June.  The interest rate is 1% per month.  Assuming enough money is available on June 30th to repay the debt, the total amount of interest due is

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Solution

The company borrowed money in June, July, and August. The interest rate is 1% per month. Therefore, we need to calculate the interest for each month separately.

For June: The company borrowed 4,000.Theinterestforonemonthwouldbe14,000. The interest for one month would be 1% of 4,000, which is $40.

For July: The company borrowed 5,000.Theinterestforonemonthwouldbe15,000. The interest for one month would be 1% of 5,000, which is $50.

For August: The company borrowed 7,000.Theinterestforonemonthwouldbe17,000. The interest for one month would be 1% of 7,000, which is $70.

Adding up the interest for each month, the total amount of interest due is 40(June)+40 (June) + 50 (July) + 70(August)=70 (August) = 160.

This problem has been solved

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