Answer:
$1,179
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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First, lets change 2.6% into a decimal:
2.6% ->
-> 0.026
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:


The account balance after 10 years will be $1,179
First leave the first fraction alone.
Then turn the division sign into a multiplication sign.
Flip the second fraction over ( find its reciprocal ).
Multiply the numerators of the two fractions together. This result will be the numerator ( the top part ) of your answer.
Multiply the denominators of the two fractions together. The result will be the denominator ( the bottom part ) of your answer.
Then simplify your fraction by reducing it to the simplest terms.
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The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
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