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Gemiola [76]
3 years ago
10

Can someone please help me with this :( asap

Mathematics
1 answer:
Rama09 [41]3 years ago
7 0

b

こんにちは

mmmmmmmmnnnnnnnnnnnnnnnnnnnnnnn

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An Investment of $10,000 yields 8% interest compounded quarterly.
Pachacha [2.7K]

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

5 0
3 years ago
Eve plays basketball. She makes 5 free throws for every 3 free throws that she misses. If she missed 36 free throws at her last
jenyasd209 [6]

Answer:

60

Step-by-step explanation:

We can write a proportion to solve

5 made        x made

------------   = -----------

3 missed      36 missed

Using cross products

5 * 36 = 3x

Divide each side by 3

5 * 36/3 = 3x/3

50 = x

She made 60

4 0
2 years ago
How do I evaluate 2.3+0.23+0.023
OverLord2011 [107]
2.3+0.23 = 2.53
2.53+0.023 = 2.553
5 0
3 years ago
Read 2 more answers
(x2 - x - 2) ÷ (x - 2)
kifflom [539]

Answer:

(x+1)

Step-by-step explanation:

(x^2-x-2)/(x-2)=(x+1)

Because (x-2)(x+1)=x^2-2x+x-2=x^2-x-2.

7 0
3 years ago
Read 2 more answers
Without calculating, is the equation (1.8 times 3) times 2.1 = ( 1.8 times 2.1 ) true or false? Explain your reasoning.
Paladinen [302]
It is true due to the commutative property of multiplication. If all of your operations are multiplication, then the integers can move around and you can still get the same answer. 
^This is only true if you meant to type (1.8x3)x2.1=(1.8x2.1)x3

If you meant what you typed, then the equation is false. The left side would be 3 times the value of the right side due to the 3 being on the left side and not the right side while without the 3 the two sides would be equal.
6 0
3 years ago
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