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Gre4nikov [31]
3 years ago
12

Ruben worked in a union motorcycle factory for 20 years before returning to school to become a paramedic instead. He is 45 now.

He has a pension from his previous employer, which would pay him $1500/month after his retirement at 65. Assuming he will live to 80 (which is slightly higher than the life expectancy for an American man) he would earn $270000 over 15 years. The company has stopped offering pensions and wants to buy out his pension today. Should Ruben accept a buyout offer of $125,000? Assume that he could invest the money at an interest rate of 3% with a monthly compounding.
Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

Ruben needs a new job

Step-by-step explanation:

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Answer:

Distance of foot of ladder from building: <em>37.2 inches </em>

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Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle \triangle ABC is formed by the ladder with the building where hypotenuse is the length of ladder.

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Also, we are given that angle made by the base of ladder with the ground is 72^\circ.

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Using trigonometric functions:

cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches

sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow  sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow  0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches

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Distance of top of ladder from building's base: <em>114 inches </em>

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2 years ago
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