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nignag [31]
3 years ago
8

HELP HELP HELP ASAP

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

D = 3J and D + 20 = 2(J + 20) - 2

Step-by-step explanation:

the first part is obvious. Dad is 3 times as old as his son = D=3J

the second part you're adding 20 years to both Dad and Jim = D + 20 and J+20. now Dad is 2 less than twice Jim's age -> D+20 = 2(J+20)-2

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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
The range of 8,7,12,7,11,10,7,12
allsm [11]

Answer:

a) Median: 9

b) Range: 5

c) Mode: 7

Explanation:

The median is the number in the middle.

First, you put the numbers in order: 7, 7, 7, 8, 10, 11, 12, 12

The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.

To find the range, you minus the highest number and the lowest number, 12-7=5.

Mode is the most occurring and repetitive number, in this case, 7, because it is written 3 times.

Read more about this on brainly: brainly.com/question/17122811

5 0
3 years ago
Read 2 more answers
What is the equation of a line passing through the point (4,-1) and parallel to the line whose equation is 2y-x=8
Ksivusya [100]

9514 1404 393

Answer:

  2y -x = -6

Step-by-step explanation:

You can use the same x- and y-coefficients. You just have to change the constant on the right. Put the point values into the left expression to see the new constant.

  2y -x = 2(-1)-(4) = -6

The parallel line is ...

  2y -x = -6

4 0
4 years ago
Which makes the sentence true 5 plus 4 equals 10 -
OLga [1]
5 plus 4 equals 10 minus 1
5 0
3 years ago
Read 2 more answers
What fraction is equivalent to 80%
Gnesinka [82]
Percent means parts out of 100
80%=80/100=8/10=4/5
8 0
3 years ago
Read 2 more answers
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