|
Question 79733This question is from textbook college algebra
: Jenny inherits $42,900 and invests it for a year in two stocks. Stock A earns 12.5% annually and stock B earns 8.5% annually. How much did she invest in each stock if stock B earned three-quarters as much as stock A?
This question is from textbook college algebra
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Jenny inherits $42,900 and invests it for a year in two stocks. Stock A earns 12.5% annually and stock B earns 8.5% annually. How much did she invest in each stock if stock B earned three-quarters as much as stock A?
:
Let x = amt in Stock A
Then (42900-x) = amt in Stock B
:
Then .125x = Stock A earnings
:
It says,"stock B earned three-quarters as much as stock A"; therefore:
.75(.125x)
.09375x = Stock B earnings
:
.09375x= .085(42900-x)
:
.09375 = 3646.5 - .085x
:
.09375x + .085x = 3646.5
:
.17875x = 3646.5
:
x = 3646.5/.17875
x = $20,400 in stock A
:
Stock B = 42900 - 20400 = $22,500
:
:
Check:
.125(20400) = 2550 earned by stock A
.085(22500) = 1912.5 earned by stock B
:
1912.5/2550 = .75 as given
|
|
|
| |
