Sara L.

asked • 12/08/16

Solve the problem- precalc

A. $20000.  B.$61000.  C. $18000.  D. $41000
 
A 122000 trust is to be invested in bonds paying 7%, CDs paying 5%, and mortgages paying 9%. The bonds and cds investment must equal the mortgage investment. To earn a $8940 annual income from the investments, how much should the bank invest in bonds?

1 Expert Answer

By:

Gene G. answered • 12/08/16

Tutor
5.0 (257)

You can do it! I'll show you how.

Gene G.

Here's the rest:
 
0.07B +0.05C + 0.09M = 8940 total income generated
B + C + M = 122000 total invested
 
Substitute 61000 for M
0.07B + 0.05C + 0.09(61000) = 8940
0.07B + 0.05C + 5490 =8940
0.07B + 0.05C = 3450
 
B + C + 61000 = 122000
C = 61000 - B         substitute this for C in the other equation
0.07B + 0.05(61000-B) = 3450
 
0.07B - 0.05B + 3050 = 3450
0.02B = 400
B = 20000
C = 41000
M = 61000
 
Check: (0.07)(20000) + (0.05)(41000) + (0.09)(61000) = 8940  (It checks out!)
 
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12/08/16

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