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QveST [7]
2 years ago
12

Patrick owns an apartment building. He knows that the money he earns in a month depends on the rent he charges. The relationship

can be modelled by E=1/50R(1650-R), where E is Patrick's monthly earnings, in dollars, and R is the amount of rent, in dollars, he charges each tenant. if Patrick wants to earn at least $13000, between what two values should he set the rent?
Mathematics
1 answer:
belka [17]2 years ago
7 0

E=13,000 and<span>E=1/50R(1650-R)</span>

<span>
</span>

<span />0.02R(1650-R)=13000

<span>(0.02R)(1650)-0.02R²=13000</span>

<span /><span>0.02R²-33R+13000=0</span>

<span>R2-1650R+650000=0</span>

<span>SOLVE W QUAD FORMULA
</span>

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Peyton is three years younger than Justin. Matt is four times as old as Peyton. If you add together the ages of Justin, Peyton a
mestny [16]
Peyton is 28 years old

Justin is 7 years old 

Matt is 4 years old 
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2 years ago
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Sophie earns $12.80 per hour babysitting. She has to repay a loan to her parents in the amount of $100. After repaying the loan,
Lemur [1.5K]

She would have to work 11 hours to get enough money to buy the sneakers

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Hope this helps!!

4 0
1 year ago
A photocopy machine can reduce copies to 80% of their original size. By copying an already reduced copy, further reductions can
alukav5142 [94]

<u>Part a)</u> if a page is reduced to 80%, what percent enlargement is needed to return it to its original size?

Let

x---------> the percent enlargement

we know that

the original size is the 100%

so

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

therefore

<u>the answer Part a) is</u>

the percent enlargement is 125%

<u>Part b)</u> Estimate the number of times in succession that a page must be copied to make the final copy less than 15% of the size of the original

we know that

A photocopy machine can reduce copies to 80% of their original size

so

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

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therefore

<u>the answer Part b) is</u>

the number of times in succession is 9


6 0
2 years ago
Which statements accurately describe the function f(x) = 3(16) Superscript three-fourths x? Select three options.
zzz [600]

Answer:

The initial value is 3.

The range is y greater than 0.

The simplified base is 8.

Step-by-step explanation:

The given function is f(x) = 3(16)^{\frac{3}{4}x } ......... (1)

Therefore, the initial value of the function at x = 0 is f(0) = 3(16)^{0} = 3  

Now, the domain can be any real value, since for all real value of x, y exists.

But, for no value of x the function has value < 0.

Therefore, y greater than 0 is the range of the function f(x).

Now, simplifying the equation (1) we will have  

f(x) = 3(16)^{\frac{3}{4}x } = 3(16^{\frac{3}{4} } )^{x} = 3(8)^{x}

Therefore, the simplified base is 8. (Answer)

7 0
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pshichka [43]

Answer:

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Step-by-step explanation:

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"An adult Welsh Corgi is always going to be shorter than an adult Basset Hound."

"Basset hounds tend to be a little over two inches taller than Welsh Corgis, but have a higher variability in height.

whichever just not the other ones good luck!

8 0
2 years ago
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