Zoe has a total of $4,000 invested in two accounts. One account pays 5 percent interest, and the other pays 8 percent interest.?

2018-01-17 6:06 am
How much does she have invested in each account if her total interest for a year is $284?

A. $1,200 at 5 percent & $2,800 at 8 percent
B. $1,600 at 5 percent & $2,400 at 8 percent
C. $2,400 at 5 percent & $1,600 at 8 percent
D. $2,800 at 5 percent & $1,200 at 8 percent

回答 (3)

2018-01-17 6:18 am
✔ 最佳答案
Let $y be the investment at 5%.
Then, the investment at 8% = $(4000 - y)

Total interest for a year in $:
y × 5% + (4000 - y) × 8% = 284
0.05y + 320 - 0.08y = 284
-0.03y = -36
y = 1200
Then, 4000 - y = 2800

The answer: A. $1,200 at 5 percent & $2,800 at 8 percent
2018-01-17 7:30 am
A.$1200 at 5 percent & $2800 at 8 percent is corect. (Ans.)
2018-01-17 6:09 am
a - you can do simple math - no compounding right


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