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OverLord2011 [107]
3 years ago
13

5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommat

e pays 425 per month. how much is the electricity bill​
Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:

Electricity bill is 175

<em />

Step-by-step explanation:

Given

Rent = 1800

Gas = 150

Each\ Roommate = 425 monthly

Number\ of\ Roommate = 5

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

Total = 5 * 425

Total = 2125

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

Gas + Rent + Electricity = 2125

150 + 1800+ Electricity = 2125

1950+ Electricity = 2125

Electricity = 2125 - 1950

Electricity = 175

<em>Hence, the electricity bill is 175</em>

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Parker spends 1/4 of his earnings on rent and 1/6 of his earnings on entertainment
mote1985 [20]

Answer:

Cool

Step-by-step explanation:

3 0
3 years ago
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Kendra sold 200 shares through her broker on June 8. The price per share was $22.10. The broker charged her a 0.5% commission on
KiRa [710]

<u><em>Answer:</em></u>

A. $4397.9

<u><em>Explanation:</em></u>

We are given that Kendra sold 200 shares and that the price per share was $22.1

<u>This means that:</u>

Total value = 200 * 22.1 = $4420

Now, we know that the broker charged 0.5% commission on the total value

<u>This means that:</u>

Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1

<u>Therefore,</u>

Kendra's return = Total value - broker's charge

Kendra's return = 4420 - 22.1 = $4397.9

Hope this helps :)

7 0
3 years ago
Please help me I need to turn in tomorrow please help me
Monica [59]

Answer:

<em>Answer: A. 0.2</em>

Step-by-step explanation:

<u>Probability</u>

The circle graph shows the distribution of the makeup of the Riverside Municipal Choir.

The total number of choir sections is: 8+10+10+12=40

To calculate the probability of a member chosen at random comes from the alto section, we use the formula:

\displaystyle P=\frac{8}{40}

Calculating:

P = 0.2

Answer: A. 0.2

7 0
3 years ago
The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new functio
kap26 [50]

Answer:

The new function is (x + 7)² - 47 ⇒ the 3rd answer

Step-by-step explanation:

* Lets put the function f(x) in the vertex form at first and then make

 the translation

∵ The general form of the quadratic function is

  f(x) = ax² + bx + c

∵ The x-coordinate of the vertex of the function is -b/2a

∵ The y-coordinate of the vertex of the function is f(-b/2a)

- Lets find a , b from the function two find the vertex point

∵ f(x) = x² + 22x + 58

∴ a = 1 , b = 22 , c = 58

∵ x-coordinate of the vertex = -b/2a

∴ x-coordinate of the vertex = -22/2(1) = -11

∵ y-coordinate of the vertex = f(-11)

∴ f(-11) = (-11)² + 22(-11) + 58 = 121 - 242 + 58 = -63

∴ The vertex point is (-11 , -63)

- The vertex form of the quadratic function is f(x) = (x - h)² + k , where

  (h , k) are the coordinates of the vertex point

∵ The vertex point is (-11 , -63)

∴ h = -11 , k = -63

∴ f(x) = (x - -11)² + -63

∴ f(x) = (x + 11)² - 63

* lets revise the rules of the translation

- If the function f(x) translated horizontally to the right  

 by m units, then the new function g(x) = f(x - m)

- If the function f(x) translated horizontally to the left  

 by m units, then the new function g(x) = f(x + m)

- If the function f(x) translated vertically up  

 by n units, then the new function g(x) = f(x) + n

- If the function f(x) translated vertically down  

 by n units, then the new function g(x) = f(x) – n

∵ f(x) will translate 4 units to the right

∴ m = 4

∵ f(x) ⇒ f(x - m)

∴ (x + 11)²  ⇒ (x + 11 - 4)² = (x + 7)²

∵f(x) will translate 16 units up

∴ -63 will add by 16

∴ n = 16

∴ f(x) ⇒ f(x) + n

∵ -63 + 16 = -47

∴ The new function is (x + 7)² - 47

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