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hodyreva [135]
3 years ago
11

A rectangular prism has a length of 6 meters, a height of 8 meters, and a width of 5

Mathematics
1 answer:
kati45 [8]3 years ago
6 0
Heyo just a freshman answering your question. To find the volume of a rectangular prism is by using its volume formula, vol=length*width*height. Your answer is 240 meter^3
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Find the midpoint of the line segment with the given end point. (7,2) and (9,-7).
valentina_108 [34]

(8,-5/2) or (8,-2.5)

(7,2) (9,-7)

9+7    -7+2

2         2

16     -5

2       2

(8, -5/2) or (8,-2.5)

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3 years ago
Roberta has $10,540 to invest. She plans to invest her money in certificates of deposit (CDs) that have 2.1% interest, a stock p
ira [324]

Answer:

The amount invested in CDs is  $1,340

The amount invested in the stock portafolio is $6,900

The amount invested in the saving accounts is $2,300

Step-by-step explanation:

Let

x ---->the amount invested in CDs at 2.1%

y ---> the amount invested in the stock portfolio at 2.5%

z ---> the amount invested in the savings account at 1.5%

x+y+z=10,540 ----> equation A

z=\frac{1}{3}y ----> equation B

substitute equation B in equation A

x+y+\frac{1}{3}y=10,540

x+\frac{4}{3}y=10,540

x=10,540-\frac{4}{3}y ----> equation C

we know that

The total interest earned by the three amount must be equal to $231.69

so

0.021x+0.025y+0.015z=231.69 ----> equation D

substitute equation B and equation C in equation D

0.021(10,540-\frac{4}{3}y)+0.025y+0.015(\frac{1}{3}y)=231.69

solve for y

221.34-0.0315y+0.025y+0.005y=231.69

0.0015y=231.69-221.34

0.0015y=10.35

y=\$6,900

<em>Find the value of x</em>

x=10,540-\frac{4}{3}(6,900)

x=\$1,340

<em>Find the value of z</em>

z=\frac{1}{3}(6,900)

z=\$2,300

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Answer:

One hour’s sleep before midnight is worth three after.

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Answer:

5

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This is because |-5| is equal to 5

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