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stira [4]
2 years ago
8

The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches. A shaded circle is

inside of a larger unshaded circle. What is the probability that a point chosen at random will be in the shaded region? Round the answer to two decimal places. 0.25 0.33 0.66 0.75
Mathematics
1 answer:
Leni [432]2 years ago
5 0

The probability that a point is chosen at random in the shaded region will be 0.25.

<h3>What is probability?</h3>

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Probability = (Favorable event) / (Total event)

The area of the shaded circle below is 78.5 square inches.

The area of the large circle is 314 square inches.

A shaded circle is inside of a larger unshaded circle.

Then the probability that a point is chosen at random in the shaded region will be

P = 78.5 / 314

P = 1 / 4

P = 0.25

Then the correct option is A.

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

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Question 13
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The amount to be invested today so as to have $12,500 in 12 years is  $6,480.37.

The amount that would be in my account in 13 years is $44,707.37.

The amount I need to deposit now is $546.64.

<h3>How much should be invested today?</h3>

The amount to be invested today = future value / (1 + r)^nm

Where:

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  • n = number of years  = 12

12500 / (1.00015)^(12 x 365) = $6,480.37

<h3>What is the future value of the account at the end of 13 years?</h3>

Future value = monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

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200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37

<h3>What should be the monthly deposit?</h3>

Monthly deposit = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

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