Respuesta :
Answer
Find out the amounts of the three parts of investments .
To proof
let us assume that first part of investment be = u
let us assume that second part of investment be = v
let us assume that third part of investment be = w
As given
An investment of $27,000 was made by a business club.The investment was split into three parts and lasted for 1 year.
than the equation is written in the form
u + v + w = 27000
.The first part earned 8% interest,the second 6% and the third 9%.total interest from the investment was $2130.
8% is written in the decimal form
[tex]=\frac{8}{100}[/tex]
= 0.08
6% is written in the decimal form
[tex]=\frac{6}{100}[/tex]
= 0.06
9% is written in the decimal form
[tex]=\frac{9}{100}[/tex]
= 0.09
than the equation in the form
0.08u +0.06v +0.09w = 2130
equation written in the simple form
8u +6v +9w =213000
As given
the first investment was three times the interest from the second
u = 3v
Than the three equation in the form
u + v + w = 27000 , 8u +6v +9w =213000 , u = 3v
put this u = 3v in the equation u + v + w = 27000 , 8u +6v +9w =213000
than the equation
30v +9w + 213000
4v +w = 27000
multiply the 4v +w = 27000 by 9 and subtracted with 30v +9w + 213000
36v-30v +9w-9w =243000- 213000
6v = 30000
[tex]v =\frac{30000}{6}[/tex]
v =$5000
put this in the equation
u =3v
u = 3× 5000
u= $15000
put the value u , v in the equation u + v + w = 27000
5000 + 15000 +w = 27000
w = $7000
than the three part be $5000, $15000,$7000
Hence proved
