Question

1.2.35 Question Help Ralph Chase plans to sell a piece of property for ​$ 140000 140000. He wants the money to be paid off in two ways minus −a ​short-term note at 11 11​% interest and a​ long-term note at 9 9​% interest. Find the amount of each note if the total annual interest paid is ​$ 14100 14100.

Answer 1

a). The amount of the short-term loan=$128,181.82

b). The amount of the long-term loan=$156,666.67

Step-by-step explanation:

The total annual interest to be paid can be expressed as;

I=PRT

where;

I=annual interest

P=principal amount of the note

T=number of years

a). For the short-term note's case;

I=$14,100

P=unknown

R=11%

T=1 year

replacing;

14,100=P×(11/100)×1

0.11 P=14,100

P=14,100/0.11

P=128,181.82

The amount of the short-term loan=$128,181.82

b). For the long-term note's case;

I=$14,100

P=unknown

R=9%

T=1 year

replacing;

14,100=P×(9/100)×1

14,100=P×0.09

0.09 P=14,100

P=14,100/0.09

P=156,666.67

The amount of the long-term note=$156,666.67