Solve for c: 2(4c-7) is greater than or equal to 8(c-3)

Question

Mathematics: Solve for c: 2(4c-7) is greater than or equal to 8(c-3)

miannasanderso8146 · Accepted Answer

It will take 35.12 years for the account to reach $7,600.

Step-by-step explanation:

Holly invests money, P=$600

Interest rate,r= 7.5%

Amount money,A =$7,600

We know that the formula to obtain the amount

$A=P(1+\frac{r}{100} )^t$

Where A= Amount money

P= Principle value

r= Interest rate

t= time in years

By using this formula

$7600=600(1+\frac{7.5}{100} )^t$

$\frac{7600}{600} =(1+\frac{75}{1000} )^t$

$\frac{76}{6} =(\frac{1075}{1000} )^t$

Taking both side logarithm then we get

log76- log6=t(log1075-log1000)

1.5798-0.4771= t(3.0314-3)

By substituting value from log table

1.1027= $t\times 0.0314$

By simplification

$t=\frac{1.1027}{0.0314}$

By division property of equality

t=35.117 years

t=35.12 years ( nearest hundreth place)

Hence, it will take 35.12 years for the account to reach $7,600.

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