# Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9% annually. if Susan's investment amounts to $19,000 and the annual income is $1,590, how much money is invested in bonds and deposits?

##### 1 Answer

Jun 30, 2018

#### Answer:

Certificates of deposits

Bonds

#### Explanation:

Susan buys bonds worth

She buys certificates of deposits worth

Yield from bond

yield from certificates

Then,

#x+y=19000# --------(1)

#(7x)/100+(9y)/100=1590# Multiplying both sides by 100, we get

#7x+9y=159000# -----(2)

Solving equation(1) for

Substitute

#7(19000-y)+9y=159000#

#133000-7y+9y=159000#

#133000+2y=159000#

#2y=159000-133000=26000#

#y=26000/2=13000#

#y=13000#

Certificates of deposits

Substitute

#x+13000=19000#

#x=19000-13000=6000#

Bonds