Sam opened a money-market account that pays 5% simple interest. He started the account with $7,000 and made no further deposits. When he closed the account, he had earned $700 in interest. How long did he keep his account open?
A.
5 years
B.
2 years
C.
4 years
D.
3 years
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OpenStudy (fuzzyball):
@FortyTheRapper
OpenStudy (jonathan34):
ok all help you
OpenStudy (fortytherapper):
Let's start off by converting the percent into a decimal.
What would 5% be as a decimal
OpenStudy (jonathan34):
#2. $2,145.00 (assuming that interest is simple like the previous question)
#3. $12,150.00
#4. $8,000
OpenStudy (fuzzyball):
0.05
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OpenStudy (fortytherapper):
Nice,
So now we have \[(7000)(.05)= 1 year\] -- $7,000 being the deposit and .05 the interest.
Then it should be easy from there
OpenStudy (fuzzyball):
350=1year
OpenStudy (fortytherapper):
Right! Now how can we get 2 years? Same way
\[\frac{ 350 }{ 1 }=\frac{ x }{ 2 }\]
OpenStudy (fuzzyball):
350+350=700 so it would be 2 years
OpenStudy (fortytherapper):
Exactly!
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