1.2.35 question ralph chase plans to sell a piece of property for $ 14 14. 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.

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

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

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

x=3

step-by-step explanation:

this is really simple i saw that there was only one term (5x) and thought if that was 15 what would i have to multiply everything else to get it there? well if 5x became 15 then x would have to be 3 so plug the 3 in the x for the other equations and you get 15 for the other ones. so there you go. : )