Country Day's scholarship fund receives a gift of $ 170000. The money is invested in stocks, bonds, and CDs. CDs pay 5.25 % interest, bonds pay 5 % interest, and stocks pay 11.5 % interest. Country day invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 12525 , how much was invested in each vehicle?

Respuesta :

"Country Day's scholarship fund receives a gift of $ 170000. The money is invested in stocks, bonds....'' the amount invested in the vehicle are CDs, Bonds, and Stocks

x=1047.38154613

z=70000

y=64501.24688279

What is ?

Generally, the equation for statement is mathematically given as

x + x + 100000 + y = 170000

5.25x + y = 70000....1

Using I=Prt; t=1; I=Pr

5.25x+5(x+100000 )+11.5y=12525 (100)

Therefore

5.25x+5x+500000+11.5y=1252500

10.25x+11.5y=1252500-500000

10.25x+11.5y=752500...2

x=1047.38154613

y=64501.24688279

In conclusion, the CDs, Bonds, and Stocks are;

x=1047.38154613

z=70000

y=64501.24688279

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