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avanturin [10]
3 years ago
14

Rasputen and his three buddies are splitting a giant 18 inch cookie. But notice 1/4 of it is missing. If each person gets the sa

me amount of the giant cookie what is the actual size of their piece?
Mathematics
1 answer:
frozen [14]3 years ago
8 0

Answer:

Each of them will get 3.375 inches of cookie.

Step-by-step explanation:

Rasputen and his three buddies are splitting a giant 18 inches cookie.

But they notice that \frac{1}{4}th of it is missing.

So, the actual length of the cookie is 18[1-\frac{1}{4} ]=18 \times \frac{3}{4}=13.5 inches.

If all the four of them get the same amount of the giant cookie then each of them will get \frac{13.5}{4} = 3.375 inches of cookie. (Answer)

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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
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10%

Step-by-step explanation:

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Raeana =R

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L=50

R=50-10=40

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18·8.7= 156.6

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