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topjm [15]
3 years ago
13

John invests $750 into an account that makes 3.75 percent interest compounded quarterly. What will his account balance be after

3 years?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0
A=750×(1+0.0375÷4)^(4×3)
A=838.86
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Two of the sides of a triangle are 7 inches
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Determine the length of the leg of a 45o – 45o – 90o triangle with a hypotenuse length of 15 inches. ( ANSWER NEEDS TO BE IN RED
SIZIF [17.4K]

Answer:

The lenghts of both legs: \frac{15\sqrt{2}}{2}\ inches

Step-by-step explanation:

By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.

Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of  any leg of the given triangle by applying the Trigonometric Identity sin\alpha=\frac{opposite}{hypotenuse}:

sin(45\°)=\frac{leg}{15}\\\\leg=\frac{15}{\sqrt{2}}

Finally, simplifying, we get:

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3 0
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hammer [34]
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It’s a right angle so it's equal to 90 degrees and both sides are congruent.
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