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Studentka2010 [4]
3 years ago
6

Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g

round from the top of her shadow, how tall is the lamppost?

Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

2.5477 feet

Step-by-step explanation:

Refer the image attached to understand my solution.

BC = height of lamppost.

DE = Julia

AD = shadow of Julia

BD = 2 feet.      AD = 5 feet

BA = BD + AD

       = 2 + 5 = 7 feet

In ΔABC

tan 20° = \frac{BC}{BA}  = \frac{BC}{7}

BC = 7 * tan 20°

BC = 2.5477 feet

SO the height of lamppost = 2.5477 feet

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Step-by-step explanation:

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A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the
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Answer:

f(t)=20000(0.85)^t

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

f(t)=P(r)^t

Where <em>P </em>is the initial value, <em>r</em> is the rate of decay, and <em>t</em> is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

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Total amount paid to staff = $250

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Given:

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2 years ago
Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?
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Answer:

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This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

We have that P = 4200, E = 630, t = 3. We have to find I.

E = P*I*t

630 = 4200*I*3

I = \frac{630}{4200*3}

I = 0.05

The simple interest rate is 5%.

Joshua’s goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of  return of 6%?

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