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Leya [2.2K]
3 years ago
10

Eloise is planning on retiring soon. When she first began working she invested $1500 in a retirement fund. The percent increase

in her investment is 95%. How much does she have in the account now?
A) $1,425
B) $2,925
C) $5,850
D) $142,500
Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

1500 ( 1 + .95)

Answer: B. $2,925.0

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Answer:

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Step-by-step explanation:

Given:

The above triangle

Required

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Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

Sin\ C = \frac{h}{a}

Make h the subject:

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a^2 = h^2 + x^2

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In trigonometry:

Cos^2C = 1-Sin^2C

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x^2 = a^2 Cos^2\ C

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x= aCos\ C

In triangle BOA, applying Pythagoras theorem, we have that:

AB^2 = h^2 + (b-x)^2

Open bracket

AB^2 = h^2 + b^2-2bx+x^2

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Open Bracket

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Reorder

AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C

Factorize:

AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C

In trigonometry:

Sin^2C + Cos^2 = 1

So, we have that:

AB^2 = a^2 * 1 + b^2-2abCos\ C

AB^2 = a^2 + b^2-2abCos\ C

Take square roots of both sides

AB = \sqrt{a^2 + b^2-2abCos\ C}

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3 years ago
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Alexeev081 [22]

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