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Yuri [45]
3 years ago
9

AB = m + 6, CD = 3m + 2, BC = 3m, and AD = 7m – 16, solve for m.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0
Answer is,......
m = 4
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A bank loaned out $21,500, part of it at the rate of 15% annual interest, and the rest at 9% annual interest. The total interest
Nuetrik [128]

Answer:

So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5

And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5

Step-by-step explanation:

This problem can be solved in several ways. The way I like is as follows.

Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:

21000(P) = 2215

P = 0.1055 or 10.55 %

This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is

10.55 = 4(1 – X) + 15X

Where X is the proportion of the loan given at the indicated interest. So

10.55 = 4 – 4X + 15X

6.55 = 11X

X = 0.5955

1-X = 0.4045

So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5

And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5

6 0
3 years ago
PLEASE HELPPPPPPPPPPPPPPPPPPPP
Lelechka [254]

Answer:

28cm^2

Step-by-step explanation:

By splitting the shape into 2 separate rectangles, you can find that they would be  6cm by 3cm and 5cm by 2cm. doing length x width on both and adding them gives 28cm.

4 0
3 years ago
Please answer thanks! :)
Lana71 [14]
I believe she messed up in Step 2, it wouldnt be 7/8 it would be 6/8
8 0
3 years ago
Read 2 more answers
10) HELP I have the answer I just need to show the work
bogdanovich [222]

Answer:

A) inverse sine is correct

6 0
3 years ago
3(x - 1) = 2x+9<br>¿cómo puedo resolver este problema?​
inysia [295]

Answer:

x=12

Step-by-step explanation:

3(x-1)=2x+9

3x-3=2x+9

3x-2x-3=9

x-3=9

x=9+3

x=12

5 0
4 years ago
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