Mathematics: An initial of the $100 is now valuated at $150. the annual interest rate is 5%, compounded continuously. the equation 100e^0.05=150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested. use calculator to round to the nearest whole number.

His former annual salary was 568 dollars...

An initial of the $100 is now valuated at $150. - id1001503174265, xxcynthistxx

shadestephen25

06.01.2022

8 years approximately

The problem (I'm assuming is):

Solve $100e^{0.05t}=150$ .

I put a t in the problem where I suspected it in went.

Step-by-step explanation:

$100e^{0.05t}=150$

Divide both sides by 100:

$e^{0.05t}=\frac{150}{100}$

$e^{0.05t}=1.5$

Rewrite in logarithm form.

$\ln(1.5)=0.05t$

Divide both sides by 0.05:

$\frac{\ln(1.5)}{0.05}=t$

Put left hand side into calculator:

$8.109 \approx t$

$t \approx 8.109$

So about 8 years if I wrote down the equation correctly.

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