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Katarina [22]
2 years ago
14

Oscar recorded the amount of his monthly electric bill for the first 11 months of the year. An ordered list of the amount in dol

lars of his
monthly bills is shown.

79.98, 99, 99, 102, 105, 119, 122, 124, 125, 127

Oscar budgeted $110 per month for his electric bill.

What would be the amount of his last monthly bill in order for the mean bill amount to be $110 for all 12 months?
A $105
B $109
C. $110
D $112
E $121
Mathematics
1 answer:
grandymaker [24]2 years ago
8 0

Answer:

b

Step-by-step explanation:

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Alvin and Bala has 26 stickers.Alvin had 8 more stickers thab Bala.How many stickers did Bala have?​
Brilliant_brown [7]
Bala had 9 stickers

You could set this up as a equation. Because there was a total of 26 you would for sure put =26. Next you are told Alvin has 8 MORE than Bali, therefore you would be adding the unknown value of Bala by 8. This could be represented as x+8=26. Now that you have x added to 8 you need to add another x to the equation to fully represent the problem since Alvin has 8 more stickers than Bala does. The new equation would become 2x+8=26.

You must now isolate x by first subtraction 8 from both sides which will leave you with 2x=18. Then you divide on both sides by 2 and will leave you with x=9
3 0
2 years ago
The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the function
Law Incorporation [45]
It’s a. Start at the y intercept and rise over run to the next point.
8 0
2 years ago
Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u
soldier1979 [14.2K]

x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}

\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}

\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}

Therefore:

\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]

Recall that at t=25, p(25)=\dfrac { 5800 } {13} \approx 446.15

Therefore:

\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0
2 years ago
A circle has a circumference of 907.46 units.<br> What is the diameter of the circle?
Bas_tet [7]

Answer:

d≈288.85

C Circumference  

907.46

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
the volume of solid A is 28m3 and the volume of solid B is 1,792m3. If the solids are similar, what is the ratio of the surface
Maslowich
If k is the scale factor between the dimensions of the similar solids, the areas are related by k² and the volumes are related by k³. That is
\ \ \dfrac{V_{a}}{V_{b}}=k^{3}
\ \ k=(\dfrac{V_{a}}{V_{b}})^{\frac{1}{3}}

The areas are related by k², so
\ \ \dfrac{A_{a}}{A_{b}}=k^{2} = (\dfrac{V_{a}}{V_{b}})^{\frac{2}{3}}
\ \ \dfrac{A_{a}}{A_{b}} = (\dfrac{28\ m^{3}}{1792\ m^{3}})^{\frac{2}{3}}=(4^{-3})^{\frac{2}{3}}
\ \ =4^{-2}=\dfrac{1}{16}

The ratio of the surface area of solid A to that of solid B is ...
  1/16
6 0
2 years ago
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