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Ray Of Light [21]
3 years ago
9

Independence probability question, please help

Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0
Whether the events are dependent or not, the rule for conditional probability applies:
  P(a|b) = P(a∩b)/P(b)
  P(a|b)×P(b) = P(a∩b)
  0.25×0.4 = P(a∩b) = 0.1

The appropriate choice is
  C. 0.1
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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
2 years ago
Solve the equations in Parts A and B using inverse operations. Check your solutions. In your final answer, include all of your w
Ludmilka [50]
Part A:5=2x^2-x^2+13
5=x^2+13
0=x^2+13-5
0=x^2+8

Part B:5=2x^3-x^3+13
5=x^3+13
0=x^3+13-5
0=x^3+8
3 0
3 years ago
Read 2 more answers
How do u solve question 30
Oksana_A [137]
You just multiply the 2 numbers!
3 0
3 years ago
Help me please thank you
kotegsom [21]
The answer will be

(A)5sq root/3
7 0
3 years ago
12 x 1/5= ? I got 12 1/5 is that correct?
coldgirl [10]
When you're multiplying any number times a fraction with a numerator of one, that number becomes the numerator. For example:

a x 1/b = a/b

So, in your case:

12 x 1/5 = 12/5
5 0
3 years ago
Read 2 more answers
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