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m_a_m_a [10]
2 years ago
7

An Investment of $10,000 yields 8% interest compounded quarterly.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
5 0

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

  • The principal amount of investment = $10,000
  • Interest Rate = 8% = 0.08
  • number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

  • i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}

\mathbf{A = 10000(1.02)^2}}

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

  • i.e. when time (t) = 5 years

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}

\mathbf{A = 10000(1.02)^20}}

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

brainly.com/question/14295570?referrer=searchResults

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eimsori [14]

Answer:

8,920 ÷ 80=111.5

892 ÷ 8=111.5

89.2 ÷ 0.08=111.5

.892 ÷ 0.008=111.5

Step-by-step explanation:

6 0
2 years ago
What is 1.2 liters - 200 milliliters
jonny [76]
Well if you want to know 1.2 liters in milliliters the answer is 1200 milliliters and if you want to know 2000 milliliters in liters than the answer is 2 liters.
8 0
3 years ago
Which notation best represents the phrase “no more than 200”?a. 200 d.≥ 200 plz hurry i need asnwer asp
ElenaW [278]

Answer:

D it is d my guy you have fun with that

4 0
3 years ago
Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)
Alchen [17]

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Adjacent}{Hypotenuse}

In triangle ABC,

\cos A=\dfrac{AC}{AB}

\cos (31^\circ)=\dfrac{b}{270}

0.857=\dfrac{b}{270}

Multiply both sides by 270.

0.857\times 270=b

231.39=b

b\approx 231.4

Therefore, the missing side length is b=231.4 inches.

5 0
3 years ago
If f(x) = x2 - 2x, find:<br> f(6) = [?]
schepotkina [342]

Answer:

f(6) = 24

Step-by-step explanation:

f(x) = x^2 - 2x

    Let x = 6

f(6) = 6^2 - 2(6)

     = 36 - 12

     = 24

3 0
3 years ago
Read 2 more answers
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