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Fofino [41]
3 years ago
8

Amanda, Bryan, and Carl are about to compete in 100

Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0

9514 1404 393

Answer:

  6

Step-by-step explanation:

Any of the three can be in first place.

Any of the remaining two can be in 2nd place.

The remaining swimmer will be in 3rd place.

There are 3 × 2 × 1 = 6 possible orderings of the swimmers.

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Solve for x. <br> 2(x-2)= 6x + 2 -2(-2x - 4)
Lena [83]

Answer:-7/4

Step-by-step explanation:

2(x-2)=6x+2-2(-2x-4)

Open brackets

2x-4=6x+2+4x+8

Collect like terms

-4-2-8=6x+4x-2x

-14=8x

Divide both sides by 8

-14/8=8x/8

-7/4=x

x=-7/4

4 0
3 years ago
Matt invests $1,669 in a saving account with a fixed annual interest rate of 2% compounded 12 times per year. How long will it t
vesna_86 [32]

Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

1.1051 = (1.0017)^(12t)

Taking log to base 10 of both sides, it becomes

Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

t = 4.84 years

6 0
3 years ago
Micheal is 3 times as old as Brandon. 18 years ago, Micheal was 9 times as old as Brandon.
77julia77 [94]

Step-by-step explanation:

18÷3=6

6×9=54

HOPE THIS HELPS!!

5 0
3 years ago
Absolute value of 15 ​
mixer [17]

Answer:

15

Step-by-step explanation:

The absolute value takes any value and makes it positive.

|15| = 15

8 0
3 years ago
Read 2 more answers
What Times What equals 54
ahrayia [7]
6 times 9 = 54 and also 27 times 2 :)
3 0
3 years ago
Read 2 more answers
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