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alexandr402 [8]
3 years ago
10

Trust Fund A deposit of $10,000 is made in a trust fund that pays 7% interest,compounded continuously.it is specified that the b

alance will be given to the college from which the donor graduated after the money has earned interest for 50 years.How much will the college receive?
Mathematics
1 answer:
kvasek [131]3 years ago
3 0

Answer:

After 50 years college will receive a amount of $294570.25

Step-by-step explanation:

We have given deposited amount P = $10000

Rate of interest r = 7 %

Time is given t = 50 years

We have to find the amount after 50 years which college receive

Amount is given by

A=P(1+\frac{r}{100})^n

A=10000(1+\frac{7}{100})^{50}=294570.25

So after 50 years college will receive a amount of $294570.25

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Two 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be greater than 9?
AVprozaik [17]
What combination of numbers are needed in order to get a sum of 9?
        It can be:
             •  First die is 6 , second die is 3 
             •  First die is 3 , second die is 6
             •  First die is 4 , second die is 5
             •  First die is 5 , second die is 4

How many possible combinations are made? Yep, 4 possible combinations.

Recall the formula for probability
       Probability =   \frac{Number of desired outcomes}{Number of all possible outcomes}

There are 4 desired number of outcomes.
How about the total possible outcomes?
     • How many numbers are possible to appear when the first die is rolled?
        Answer: 6
     • What about the second die?
        Answer: Also 6
     • Therefore, total possible outcomes = 6 * 6 = 36 outcomes

You can now solve for the probability.

      Probability = \frac{4}{36} =  \frac{1}{9} or approximately 11.11%
3 0
3 years ago
Plzzz help me im having alot of trouble understanding this question does some one understand if you do plz help fast!!!
juin [17]

Answer:

1/2 - 3(1/2 + 1)²

simplify the expression (1/2 + 1)

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using PEMDAS, we see we have to evaluate the exponent first

(3/2)² = 9/4

rewrite the equation

1/2 - 3 • (9/4)

multiply 3 by (9/4)

1/2 - (27/4)

subtract

-25/4

(1 + 1/3)² - 2/9

simplify the expression (1 + 1/3)

(4/3)² - 2/9

using PEMDAS, we see we have to evaluate the exponent first

(4/3)² = 16/9

rewrite the equation

(16/9) - (2/9)

subtract

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5 0
3 years ago
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ikadub [295]

Answer: area for circle is  πr² so πr² =28.26 and we can sub 3.14 as pi

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r²=28.26/3.14

then we root both sides to get r on it's own

28.26/3.14=9 √9=3

and the diameter is double the radius 3*2=6 so the diameter is 6

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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