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Holly wants to save money for an emergency. Holly invests $1500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach $7300?
asked
Mar 15, 2019
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Holly wants to save money for an emergency. Holly invests $1500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach $7300?
Mathematics
high-school
Vandre
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Vandre
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1
Answer
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7300=1500
(
1+0.0675)
t
7300=1500
(1.0675)
t
Dividing both sides by 1500,
7315
=
1.0675t
Taking the logarithm,
ln
(
7315
)
=tln
(1.0675)
Making 't' the subject,
t=
ln
(
7315
)
ln
(1.0675)
which equals
t=24.23
JamesE
answered
Mar 20, 2019
by
JamesE
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