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12345 [234]
3 years ago
12

You deposit $10,000 in a money-market account that pays an annual interest rate of 4.4%. The interest is compounded quarterly. H

ow much money will you have after 2 years
Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0
Total = principal * (1 + rate/n)^n*years
where "n" is the number of compounding periods per year
Total = 10,000 * (1 + .044/4)^4*2
Total = 10,000 * (1<span>.011</span>)^8
<span><span>Total = 10,000 * 1.0914635699 </span>
</span><span><span>Total = </span> 10,914.64

</span> 
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<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

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To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

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Applying the property, we have:

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Now, we multiply exponents:

(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}

Then, we sum exponents to get the simplest form:

3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}}  \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }

Therefore, the right answer is <em>three to the three fifths power.</em>

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