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melisa1 [442]
3 years ago
14

The United Air Force has 19 women for every 81 men enlisted. If a squadron has 250 members, approximately how many men are men?

Mathematics
2 answers:
Volgvan3 years ago
6 0
Answer : men :203, & women: 47
zmey [24]3 years ago
5 0

Answer:

Approximately the number of men is 203 and number of women is 47.

Step-by-step explanation:

It is given that the United States Air Force has 19 women for every 81 men enlisted.

It means the ratio between men and women is 81:19.

Sum of ratio is

Therefore for each 100 people, there are 81 men and 19 women.

Total number of peoples is 250.

In 250 members the number of men is

The numbers of persons cannot be a fraction values or a decimal value, therefore the number of men is 203.

In 250 members the number of women is

Therefore approximately the number of men is 203 and number of women is 47.

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You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0
3 years ago
(PLEASE ANSWER + BRAINLIEST!!)
Licemer1 [7]
The answer is x=20.  Hope this helps.
8 0
3 years ago
Graph the equation of the line for the equation , y = 3x-12
tamaranim1 [39]

Answer:

Step-by-step explanation:

3 0
3 years ago
HELP<br> Find the value of two numbers if their sum is 5 and their difference is 30
vodomira [7]

Answer:

The 2 numbers are -12.5 and 17.5.

Step-by-step explanation:

Let 1 number be x then  x - y  = 30 where the other number is y.

y = x - 30 so the sum is:

x - 30 + x = 5

2x = 35

x = 17.5

and y = 17.5 - 30 = -12.5.

8 0
3 years ago
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Which choice is the solution to the inequality below?<br> 2x &lt; 20
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