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butalik [34]
3 years ago
8

I need to know this answer it’s very important. It’s on a test and if I don’t get an answer I’ll have to go to summer school!!!

Mathematics
1 answer:
elena55 [62]3 years ago
5 0
28/24 = 42/AC
28.AC = 42.24
AC = 42.24/28
AC = 36 ft
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An investment of ​$100 comma 000 was made by a business club. The investment was split into three parts and lasted for one year.
Artist 52 [7]

Answer:

  • $54000 was invested at​ 8% interest
  • $36000 was invested at​ 6% interest
  • $10000 was invested at​ 9% interest

Step-by-step explanation:

Total Investment = ​$100,000

The investment was split into three parts (say x, y and z)

  • x+y+z=100000

Simple Interest = Principal X Rate/100 X Time

The first part of the investment earned​ 8% interest

Interest on the first part = 0.08x

The second part of the investment earned​ 6% interest

Interest on the second  part = 0.06y

The third part of the investment earned​ 9% interest

Interest on the third part = 0.09z

Total interest from the investments = $ 7380.

Therefore:

0.08x+0.06y+0.09z=7380

The interest from the first investment was 2 times the interest from the second.

0.08x=2 X 0.06y

0.08x=0.12y

Substituting we have:

0.12y+0.06y+0.09z=7380

0.18y+0.09z=7380

From 0.08x=0.12y

x=1.5y

Substituting x=1.5y into x+y+z=100000

1.5y+y+z=100000

2.5y+z=100000

z=100000-2.5y

Substituting z=100000-2.5y into 0.18y+0.09z=7380

0.18y+0.09(100000-2.5y)=7380

0.18y+9000-0.225y=7380

-0.045y=-1620

Divide both sides by -0.045

y=36000

Recall: x=1.5y

x=1.5 X 36000

x =54000

x+y+z=100000

54000+36000+z=100000

z=100000-(54000+36000)

z=10,000

Therefore:

  • $54000 was invested at​ 8% interest
  • $36000 was invested at​ 6% interest
  • $10000 was invested at​ 9% interest
3 0
3 years ago
Long division method​
Anton [14]

Answer: you didnt add a question or possible answer choices so nobody can answer this question

Step-by-step explanation:

Divide the ones column dividend by the divisor.

Multiply the divisor by the quotient in the right place column.

Subtract the product from the ones column.

8 0
2 years ago
A survey reported that 713,298 people visited the local science museum last year. How can 713,298 be written in word form?
AnnZ [28]
Seven hundred and thirteen thousand, two hundred and ninety eight
7 0
3 years ago
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What are the variables for question 5, problem a, I don't quite understand.
valentinak56 [21]
One variable is the amount of time it takes her to make a plate. The other variable is the amount of time it takes her to make a cup.
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3 years ago
What is 7/9 divided by 1/3
irakobra [83]

Answer:

\frac{21}{9}

Step-by-step explanation:

\frac{7}{9} (divide)\frac{1}{3} = \frac{7}{9}*\frac{3}{1} = \frac{21}{9}

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