SOLUTION: ms.berger has two investments. one has 8% annual interest rat, and the other investment has 9.5%. she invests 37,000, part at 8% and the rest at 9.5% annual interest rate. the 9.5%

Algebra.Com
Question 252753: ms.berger has two investments. one has 8% annual interest rat, and the other investment has 9.5%. she invests 37,000, part at 8% and the rest at 9.5% annual interest rate. the 9.5% investment provides $452.5 more income than 8% investment. how much is invested at each rate?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
ms.berger has two investments. one has 8% annual interest rat, and the other investment has 9.5%.
she invests 37,000, part at 8% and the rest at 9.5% annual interest rate.
the 9.5% investment provides $452.5 more income than 8% investment.
how much is invested at each rate?
:
Let x = amt invested at 9.5%
The total was given as 37000, therefore
(37000-x) = amt invested at 8%
:
Int at 9.5% - Int at 8% = $452.5
.095x - .08(37000-x) = 452.50
.095x - 2960 + .08x = 452.50
.095x + .08x = 452.50 + 2960
.175x = 3412.5
x =
x = $19,500 invested at 9.5%
:
I'll let you find how much invested at 8%

RELATED QUESTIONS

A man has two investments totalling $10,000. On one he receives 8% interest and on the... (answered by mananth)
Beth has saved $4500. She would like to earn $250 per year by investing her money. She... (answered by josmiceli)
Jackson has investments totaling K8, 000 in two accounts – one a savings account paying (answered by jorel555)
Fres Calibig invests a part of $17000 at 8% and the rest 9%. If the annual incomes from... (answered by mananth)
Fred invests a part of P1700 at 8% and the rest at 9%. If the annual incomes from the two (answered by ewatrrr)
A man has two investments, one paying 5% annual interest and the other at 8%. The total... (answered by josmiceli,Boreal)
Ms. Smith has part of $1240 invested at 9% and the rest at 6.5%. If the annual return... (answered by ikleyn)
Harry invested $4,000.00 in two investments: one investment was a CD that paid 3.4%... (answered by josgarithmetic,greenestamps)
A man has two investments, one paying 3% annual interest and the and the other 4%. The... (answered by richwmiller)