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I am Lyosha [343]

3 years ago

7

Cherry is paid $72.00 for working six hours in a library. If the amount paid is proportional to the number of hours worked, what

is the constant of proportionality?

1 answer:

patriot [66]3 years ago

4 0

Answer:

She's being paid six hours per hour

Step-by-step explanation:

She's being paid six hours per hour

72/6 = 6

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The sum of three numbers is 36. The first number is two times the second number, and the second number is

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o (16, 8, 12)

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2nd number:12-4=8

3rd number: given

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What is the complete factorization of x^2 - 6x + 9

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$(x-3)^{2}$

Step-by-step explanation:

Factor using the perfect square rule.

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To find how high school students feel about hot lunches, Adam walks to the nearest high school and gives a survey postcard to ev

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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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3 years ago

Ira Lisetskai [31]

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