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2 years ago

six runners are entered in a race.Assume there are no ties In how many ways can first and second place be awarded

1 answer:

7 0

P(6,2) = 6!/(6-2)!
P(6,2) = 6!/4! 6! = 1*2*3*4*5*6 4! = 1*2*3*4
P(6,2) = (1*2*3*4*5*6)/(1*2*3*4)
P(6,2) = (5*6)/1
P(6,2) = 30
I hope this makes sense. Let me know if you don't understand any of this. ☺♥

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Step-by-step explanation:

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masha68 [24]

Answer:

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2 years ago

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3 years ago

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Greg deposited $4000 into an account with 4.6% interest, compounded semiannually. Assuming that no withdrawals are made, how muc

Zinaida [17]

The amount in account after 7 years is $ 5499.445

Solution:

The formula for total amount in compound interest is given as:

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

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P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

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

t = the time the money is invested or borrowed for

Here given that,

A = ?

P = 4000

t = 7 years

$r = 4.6 \% = \frac{4.6}{100} = 0.046$

n = 2 ( since compounded semi annually)

Substituting the values in formula, we get

$A = 4000(1+\frac{0.046}{2})^{2 \times 7}\\\\Simplify\ the\ above\ expression\\\\A = 4000(1+0.023)^{14}\\\\A = 4000(1.023)^{14}\\\\A = 4000 \times 1.37486\\\\A = 5499.445$

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3 years ago

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olchik [2.2K]

Answer:

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Step-by-step explanation:

I hope this helps

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2 years ago

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