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dangina [55]
3 years ago
12

Find the simple interest paid to the nearest cent for each principal, interest rate, and time.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
3 0

<u>Answer:</u>

The simple interest for $152, 2.5%, 18 month is $5.7

<u>Solution:</u>

Given that, principal amount = $ 152, interest rate = 2.5 % and time period = 18 months.

Now we have to calculate the simple interest for above given values.

We know that, simple interest is given as

=\frac{\text { principal amount } \times \text { interest rate } \times \text { time period in years }}{100}

By substituting the given values, we get

\text { Simple interest }=\frac{152 \times 2.5 \times 18 \mathrm{months}}{100}

By converting 18 months to years we get,

\begin{array}{l}{=\frac{152 \times 2.5 \times \frac{18}{12}}{100}} \\\\ {=\frac{152 \times 2.5 \times \frac{3}{2}}{100}} \\\\ {=\frac{152 \times \frac{3}{2}}{40}} \\\\ {=\frac{76 \times 3}{40}=\frac{19 \times 3}{10}} \\\\ {=\frac{57}{10}=5.7}\end{array}

Hence, the simple interest is $5.7

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Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest
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Amount invested at 8% is $9000 and amount invested at 18% is $21000.

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Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

x+y=30000       ........(1)

We get the second equation as:

0.08x+0.18(y)=0.15\times30000

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or getting rid of the decimal by multiplying by 100 on both sides.

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