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For the explanation part below on a), all of my calculations are coming up slightly off compared to the below explanation - help, what am

For the explanation part below on a), all of my calculations are coming up slightly off compared to the below explanation - help, what am I missing? For example, I am coming up with $48.42 for the monthly payments for January, whereas this states it should be $48.14...I must be doing something wrong...please help. Carmens Beauty Salon has estimated monthly financing requirements for the next six months as follows:

January $ 8,300 April $ 8,300
February 2,300 May 9,300
March 3,300 June 4,300

Short-term financing will be utilized for the next six months. Projected annual interest rates are:

January 7.0 % April 14.0 %
February 8.0 % May 12.0 %
March 11.0 % June 12.0 %

a.

Compute total dollar interest payments for the six months.(Round your monthly interest rate to 2 decimal places when expressed as a percent. Round your interest payments to the nearest whole cent.)

Total dollar interest payments $

b-1.

Compute the total dollar interest payments if long-term financing at 12 percent had been utilized throughout the six months?(Round your monthly interest rate to 2 decimal places when expressed as a percent. Round your interest payments to the nearest whole cent.)

Total dollar interest payments $

b-2.

If long-term financing at 12 percent had been utilized throughout the six months, would the total-dollar interest payments be larger or smaller than with the short-term financing plan?

Larger

Explanation:

a.

Carmens Beauty Salon Short-term financing
Month Rate Monthly Rate Amount Financed Monthly Interest
January 7 % .58 % $ 8,300 $ 48.14
February 8 .67 2,300 15.41
March 11 .92 3,300 30.36
April 14 1.17 8,300 97.11
May 12 1.00 9,300 93.00
June 12 1.00 4,300 43.00
$ 327.02

b-1.

Carmens Beauty Salon Long-term financing
Month Rate Monthly Rate Amount Financed Monthly Interest
January 12 % 1 % $ 8,300 $ 83.00
February 12 1 2,300 23.00
March 12 1 3,300 33.00
April 12 1 8,300 83.00
May 12 1 9,300 93.00
June 12 1 4,300 43.00
$ 358.00

b-2.

Total dollar interest payments would be larger under the long-term financing plan.

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