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Dmitry [639]
3 years ago
5

12 people are entered in a race. if there are no ties, in how many ways can the first three places come out.

Mathematics
1 answer:
prisoha [69]3 years ago
7 0

Answer:

1320

Step-by-step explanation:

This is a simple permutation.

Since you start with 12 people and there are 3 winners, after every winner the number pf people available to win decrease.

First, there are 12 people, then after the first win there are 11 people, and after the 2nd win, for the third win the there are 10 people.

Thus, to find the total number of combinations, you multiply:

12*11*10=1320

Thus, there are 1320 possible combinations

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Fiona solved the equation shown.
LenaWriter [7]

Answer:

Simplify by combining like terms

Step-by-step explanation:

4 0
3 years ago
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Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years
MatroZZZ [7]

Answer:

$14,555.17

Step-by-step explanation:

initial investment, p = $8,000

rater, r = 6% = 0.06

Number of times compounded yearly = 12

Time, t = 10 years

Amount, A = p(1 + r/n)^tn

A = 8000(1 + 0.06/12)^10*12

A = $14,555.17

8 0
3 years ago
A printing company uses the formula C = 0.5x + 10 to find the cost of printing x business cards.
wlad13 [49]
C = 0.5x + 10

----------------------------------------------------------
Switch side :
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0.5x + 10 = c

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Take away 10 from both sides :
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0.5x = c - 10

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Multiply by 2 through :
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x = 2c - 20

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Answer : x = 2c - 20 (Answer A)
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3 0
3 years ago
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What is the total repayment made, including principal and interest, on a loan of $1,100 at 3.5% interest compounded annually ove
olchik [2.2K]

The total repayment made, including principal and interest is $1262.27

<h3>Compound interest</h3>

The formula for calculating the compound interest is calculated as shown below;

A = P(1+r)^t

where

P is the principal = $1100

rate = 3.5% = 0.035

time "t" =4 years

Substitute

A. = 1100(1+0.035)^4
A = 1100(1.035)^4
A = 1100(1.14752)

A = 1262.27

Hence the total repayment made, including principal and interest is $1262.27

learn more on compound interest here: brainly.com/question/24924853

#SPJ1

8 0
2 years ago
Draw a modelto show that x + 3 is the same as x over 3​
Shalnov [3]

Answer:

Step-by-step explanation:

Your equation comes out to x + 3 = x/3.  Multiplying all three terms by 3 results in 3x + 9 = x, which simplifies to 2x = -9, so that x = -9/2.

Unsure of what you're asking for by "model."

4 0
3 years ago
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