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If the annual income from the investments is $12450, how much was invested in each amount?

If the annual income from the investments is $12450, how much was invested in each-example-1
User Gosha
by
2.8k points

1 Answer

20 votes
20 votes

Let

x ------> money invested in stocks

y ------> money invested in bonds

z -----> money invested in CDs

we have that

x+y+z=210,000 -------> equation A

y=z+15,000 ------> equation B

Remember that

the formula of simple interest is equal to

I=P(rt)

In this problem

I1=8.6%=0.086

I2=3.7%=0.037

I3=6%=0.06

so

0.086x+0.037y+0.06z=12,450 ---------> equation C

we have the system of equations

x+y+z=210,000 -------> equation A

y=z+15,000 ------> equation B

0.086x+0.037y+0.06z=12,450 ---------> equation C

using a calculator

we have that

(please wait a minute to calculate the system)

x=65,000

y=80,000

z=65,000

therefore

the answer is

money invested in stocks was $65,000

money invested in bonds was % 80,000

money invested in CDs was $ 65,00

User Graeme Mathieson
by
2.9k points
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