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dolphi86 [110]
2 years ago
12

Mr. Curry puts $5,500 in an investment account that offers 8% interest compounded annually. He makes no additional deposits or w

ithdrawals. Which amount is closest to the amount of interest Mr. Curry will have earned at the end of 15 years?
A
$11,946.93

B
$12,100.00

C
$6,600.00

D
$698.27
Mathematics
1 answer:
aalyn [17]2 years ago
3 0

Answer:

B.$12,100.00

Step-by-step explanation:

it is a pleasure to help you hope you understand if you have a question you can ask me or send me a help request.good luck.

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RoseWind [281]

Answer:

m\angle KLM=53.13^o

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle KOM

In the triangle KOM

we have

KO=MO=r=5\ units

KM=8\ units

Applying the law of cosines

8^2=5^2+5^2-2(5)(5)cos(KOM)

64=50-50cos(KOM)

50cos(KOM)=50-64

50cos(KOM)=-14

cos(KOM)=-14/50

m\angle KOM=cos^{-1}(-14/50)

m\angle KOM=106.26^o

step 2

Find the measure of the arc KM

we know that

arc\ KM=m\angle KOM ----> by central angle

we have

m\angle KOM=106.26^o

so

arc\ KM=106.26^o

step 3

Find the measure of angle KLM

we know that

The inscribed angle is half that of the arc comprising  

m\angle KLM=\frac{1}{2}[arc\ KM]

we have

arc\ KM=106.26^o

substitute

m\angle KLM=\frac{1}{2}[106.26^o]

m\angle KLM=53.13^o

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Answer:

B. BC ≅ LM

Step-by-step explanation:

BC corresponds to LM. These are the only two sides without the hash marks that represent congruence. If the marks were there to indicate that the sides are congruent, then the triangles could be proved congruent by SSS.

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The surface area of the triangle is 1/2 * 6*8 so it is 24 sq units
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