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masha68 [24]
3 years ago
7

John invested $17,500 that

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

<u>The future value of the investment after 10 years is $ 29,240.53</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Principal = $ 17,500

Interest rate = 5.2% = 0.052 compounded semiannually

Time = 10 years = 20 semesters

2. What is the future value of the investment after 10 years​?

Let's use the formula of the Future Value, to calculate it for this investment:

FV = P * (1 + r) ⁿ

Let's replace with the real values:

FV = 17,500 * (1 + 0.052/2)²⁰

FV = 17,500 * 1.670887521

<u>FV = 29,240.53</u>

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<em>Height of the pole (DC) is 57.2709m</em>

Step-by-step explanation:

Here, Wire DA and Wire DB supports a pole.

Given that Angle, A=54 , B= 72.

Also, AB = 23m

Now, Taking triangle BCD and Using basic trigonometry

Height of pole H = DC

TanB = \frac{DC}{BC}

BC= \frac{DC}{TanB}

Now, Taking triangle ACD and Using basic trigonometry

TanA = \frac{DC}{AC}

AC= \frac{DC}{TanA}

From figure, we know that

AC = AB + BC

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Replacing values of AC and BC

\frac{DC}{TanA} - \frac{DC}{TanB}=23\\DC(\frac{1}{TanA}-\frac{1}{TanB})=23

Now, TanB= Tan72 =3.0776 and TanA = Tan54=1.3763

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Thus, Height of thepole is 57.2709m

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