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9966 [12]
3 years ago
5

Penelope invested $32,000 in an account paying an interest rate of 7% compounded continuously. Assuming no deposits or withdrawa

ls are made, how much money, to the nearest dollar, would be in the account after 14 years?
Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0
96,000 dollars is the answer.
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3 years ago
PLEASE ANSWER HURRY THANK YOU
Juliette [100K]

Answer:  A. \dfrac{6}{203}

Step-by-step explanation:

Given : Jason bought 10 of the 30 raffle tickets for a drawing.

i.e. Total tickets = 30

Also, Number of prizes = 3

The total number of combinations of getting 3 prizes out of 30 tickets = ^{30}C_3

The number of combinations of getting 3 prizes out of 10 tickets =^{10}C_3

Then, the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away will be :

\dfrac{{^{30}C_3}}{^{10}C_3}

=\dfrac{\dfrac{10!}{3!7!}}{\dfrac{30!}{3!27!}}=\dfrac{120}{4060}=\dfrac{6}{203}

Hence, the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away is \dfrac{6}{203} .

Hence, the correct answer is A. 6/203.

3 0
3 years ago
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Rectangle ABCD is rotated by 90 degrees clockwise about the origin then translated 3 units left and 2 units down to form A'B'C'D
timurjin [86]

The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.

<h3>Translation of shapes in the Cartesian plane</h3>

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The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.

Read more on translation in the Cartesian plane;

brainly.com/question/5471952

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2 years ago
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Svet_ta [14]

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4 years ago
QUICK!! TEN POINTS!! BRAINLIEST FOR WHOEVER GETS IT RIGHT!!
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Answer:

(-2, -4.5)

Step-by-step explanation:

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3 years ago
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