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koban [17]
3 years ago
15

Triangle m is similar to triangle n. Triangle m has two angles with measures of 32 degrees and 93 degrees. Which two angle measu

res could be included in triangle n?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
We know that

If two triangles are similar the corresponding angles must be congruent.
therefore
triangle N must have an angle of 32° and 93°

the answer is
angle measure of 32° and angle measure of 93°
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Steve has ​$25,000 to invest and wishes to earn an overall annual rate of return of 8​%. His financial advisor recommends that h
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Answer:

<em>Steve should place $6,250 in the 5-year CD and $18,750 in the corporate bond</em>

Step-by-step explanation:

<u>System of Equations</u>

We need to find how Steve will distribute his investments between two possible options: one of them will pay 5% per annum and the other will pay 9% per annum. We know Steve has $25,000 to invest and wants to have an overall annual rate of return of 8%.

Let's call x to the amount Steve will invest in the CD paying 5% per annum and y to the amount he will invest in a corporate bond paying 9% per annum.

The total investment is $25,000 which leads to the first equation

x+y=25,000

If x dollars are invested at 5%, then the interest return is 0.05x. Similarly, y dollars at 9% return 0.09y. The overall return is 8% on the total investment, thus

0.05x+0.09y=0.08(x+y)

Rearranging:

0.05x+0.09y=0.08x+0.08y

Simplifying

0.01y=0.03x

Multiplying by 100

y=3x

Substituting in the first equation

x+3x=25,000\\4x=25,000\\x=6,250

And therefore

y=25,000-6,250=18,750

Steve should place $6,250 in the 5-year CD and $18,750 in the corporate bond

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