Posted by **Angel** on Thursday, July 7, 2005 at 10:32am.

A retired couple needs $12,000 per year in income to supplement their Social Security. They have $150,000 to invest to obtain this income. They have decided on two investment options: AA bonds yielding 10% per annum and a bank CD yielding 5%.

(a) How much should be invested in each to realize exactly $12,000 in interest income?

(b) If, after two years, the couple requires $14,000 per year in income, how should they reallocate their investment to achieve the new amount?

can you show me how you got your answer please?

(a) Let x be the amount invested in AA binds and y be the amount invested in CDs. You have two equations in two unknowns. They are

x + y = 150,000 (total principal available)

0.1 x + 0.05 y = 12,000 (desired income)

Now do the algebra.

x + 0.5 y = 120,000 (second equation x2)

0.5 y = 30,000. (subracting last equation from first)

y = 60,000. (doubling last equation)

x = 60,000.

(b) Use a similar procedure here, but the equations are:

x + y = 150,000 (total principal available)

0.1 x + 0.05 y = 14,000 (desired income)

- Math -
**Geek geeks**, Saturday, March 16, 2013 at 2:11am
Correct answers are:

A.) x= 90,000 & y= 60,000

B.) x= 130,000 & y= 20,000

## Answer This Question

## Related Questions

- math - A prfessor wants to supplement her pension with investment interst. If ...
- math - Andrew wants supplement his pension with investment interest if he ...
- Math - A financial consultant wishes to invest up to a total of $33,000 in two ...
- MATH - A financial consultant wishes to invest up to a total of $33,000 in two ...
- Math (Pre-calculus) - The Fiedler family has up to $130,000 to invest. They ...
- Math - The Fiedler family has up to $130,000 to invest. They decide that they ...
- pre calc - The Fiedler family has up to $130,000 to invest. They decide that ...
- Math(Please help) - Betsy, a recent retiree, requires $6,000 per year in extra ...
- math(Please help) - Betsy, a recent retiree, requires $6,000 per year in extra ...
- math - A professor wants to supplement her pension with investment interest. If ...

More Related Questions