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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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erma4kov [3.2K]

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Step-by-step explanation:

Sides of one birdhouse = 7

Nails used on each side = 9

Nails used on one birdhouse = No. of sides * Nails used for each side

Nails used on one birdhouse = 7*9 = 63 nails

If she uses 7 nails on each side, then the number of nails used on each birdhouse will be;

No. of nails = 7*7 = 49 nails

Difference = Old value - New value

Difference = 63-49 = 14

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Keywords: multiplication, subtraction

Learn more about subtraction at:

  • brainly.com/question/7490805
  • brainly.com/question/7857079

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Rus_ich [418]
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To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical
denis23 [38]

Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical  mass is dropped onto the mat from a height of 1 m above the mat. During the impact,  the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to  only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

a)

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= 20 \times 9.8 \times 1 = 196 J

b)

Work done  by the mat do to stop the fall of the cylinder =-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J

C)

Work done=\text{Average force} \times \text{ Compression of mat}

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8 0
2 years ago
Write the number described by 1 ten 16 ones.
Alexxx [7]
1 ten 16 ones=1*10+16*1=10+16=26

Hope this helps!
7 0
2 years ago
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Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function? Left-most x-intercept: ( , 0) Right-most x
Irina-Kira [14]

Answer:

(- 5, 0) and (3, 0)

Step-by-step explanation:

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9 0
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