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JulsSmile [24]
2 years ago
10

Choose whether the probability is mutually exclusive or not

Mathematics
1 answer:
Semmy [17]2 years ago
4 0

9514 1404 393

Answer:

  mutually exclusive

Step-by-step explanation:

The formula of interest is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, we have ...

  9/10 = 2/5 + 1/2 - P(A and B)

Solving for P(A and B), we get ...

  P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10

  P(A and B) = 0

__

Events are mutually exclusive when <em>they can never happen at the same time</em>. That is, P(A and B) = 0.

The events A and B are mutually exclusive.

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kolezko [41]
<h3>Amount earned after 5 years is $ 9030.5561</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1+\frac{r}{n})^{nt}

A = the future value of the investment including interest

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r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

r = 12 \% = \frac{12}{100} = 0.12

<em><u>n = 4 ( since interest is compounded quarterly )</u></em>

<em><u>Substituting the values we get,</u></em>

A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561

Thus amount earned after 5 years is $ 9030.5561

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