Question

Ralph Chase plans to sell a piece of property for ​$150000. He wants the money to be paid off in two ways minus−a ​short-term note at 12​% interest and a​ long-term note at 9​% interest. Find the amount of each note if the total annual interest paid is ​$15900.
The amount of the 12​% note is ​$___. and the amount of the 9​% note is ​$___

Answer 1

Answer:

The amount of 12% note is $90,000

The amount of 9% note is $80,000

Step-by-step explanation:

Missing word "The amount of the 12% note is $ and the amount of the 9% note is $"

Selling price = $170,000

Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)

Given total annual interest = $18,000

Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)

18,000 = 0.12x + 0.09*(170000 - x)

18,000 = 0.12x + 15,300 - 0.09x

18,000 = 0.03x + 15,300

0.03x = 18,000 - 15,300

0.03x = 2,700

x = 2,700/0.03

x = 90,000

So, the amount of 12% note is $90,000

So long term paid money = $170,000 - $90,000 = $80,000

So, the amount of 9% note is $80,000

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Step-by-step explanation: