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3 years ago

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The look-out point of a tower is 60 feet above the ground. A man observes a fountain from the look-out point. The angle of depre

ssion to the fountain is 25°. What is the distance from the base of the tower to the fountain?

1 answer:

Mademuasel [1]3 years ago

5 0

27.98ft

You can get this by using the tangent formula. The answer exactly expressed is 60tan25.

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What is the solution <br> Please help

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Step-by-step explanation:

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The answer is D.

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A country's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponentia

Aloiza [94]

K = ln (153/147)/7
k = <span> ln (<span> <span> 1.0408163265)/7
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y(2017) = 147*e^ <span> <span> <span> 1.0401386992 </span> </span> </span>
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A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo

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Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

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The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

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