answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katarina [22]
1 year 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]1 year ago
8 0

Answer:

b

Step-by-step explanation:

You might be interested in
The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the
Artist 52 [7]

Answer:

The maximum height  is 191.063 ft

Step-by-step explanation:

We can easily solve this question by plotting the graph of the equation below

h(t)=-16t^2+Vt+h

Where

h = initial height = 2ft

V = initial speed = 110 ft/s

t = time in seconds

Please, see attached image below

The maximum height corresponds to

191.063 ft

7 0
1 year ago
The unit cost, in dollars, to produce bins of cat food is $3 and the fixed cost is $6972. The price-demand function, in dollars
stellarik [79]

Answer:

Revenue , Cost and Profit Function

Step-by-step explanation:

Here we are given the Price/Demand Function as

P(x) = 253-2x

which means when the demand of Cat food is x units , the price will be fixed as 253-2x per unit.

Now let us revenue generated from this demand i.e. x units

Revenue = Demand * Price per unit

R(x) = x * (253-2x)

      = 253x-2x^2

Now let us Evaluate the Cost Function

Cost = Variable cost + Fixed Cost

Variable cost = cost per unit * number of units

                      = 3*x

                      = 3x

Fixed Cost = 6972 as given in the problem.

Hence

Cost Function C(x) = 3x+6972

Let us now find the Profit Function

Profit = Revenue - Cost

P(x) = R(x) - C(x)

= 253x-2x^2 - (3x + 6972)

= 253x-3x-2x^2-6972\\= 250x-2x^2-6972\\=-2x^2+250x-6972\\

Now we have to find the quantity at which we attain break even point.

We know that at break even point

Profit = 0

Hence P(x) = 0

-2x^2+250x-6972=0\\

now we have to solve the above equation for x

Dividing both sides by -2 we get

x^2-125x+3486=0

Now we have to find the factors of 3486 whose sum is 125. Which comes out to be 42 and 83

Hence we now solve the above quadratic equation using splitting the middle term method .

Hence

x^2-42x-83x+3486=0\\x(x-42)-83(x-42)=0\\(x-42)(x-83)=0\\

Either (x-42) = 0 or (x-83) = 0 therefore

if x-42= 0 ; x=42

if x-83=0 ; x=83

Smallest of which is 42. Hence the number of units at which it attains the break even point is 42.

5 0
2 years ago
Henry has quarters, dimes, nickels and pennies in a coin jar. He says that the total amount of money is two dollars and forty-on
Gala2k [10]

Answer: D

Step-by-step explanation:

All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)

7 0
2 years ago
How much water is in an empty glass that is 10cm high and has a diameter of 5cm
Lilit [14]

Answer:

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?

= 196,25 cm

Step-by-step explanation:

diameter = 5 cm

radius = 1/2 × diameter

radius = 1/2 × 5 = 2,5

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?

= π × r × r × high

= 3,14 × 2,5 × 2,5 × 10

= 196,25 cm

4 0
1 year ago
in triangleABC the side lengths are b=13, ac=21 and bc=x. write a compound inequality the represents the range of possible value
tankabanditka [31]

Answer:

8 < x < 34

Step-by-step explanation:

ab = 13, ac = 21, bc = x

The longest side of a triangle must be less than the sum of the other two sides.

If 21 is the longest side:

21 < 13 + x

8 < x

If x is the longest side:

x < 13 + 21

x < 34

Therefore, 8 < x < 34.

3 0
2 years ago
Other questions:
  • An amusement parks sells adult tickets for $18 each and youth tickets for $12 each. Kalila is using the inequality mc014-1.jpg t
    9·2 answers
  • Line segment SU is dilated to create S'U' using point Q as the center of dilation.
    7·2 answers
  • SV is an angle bisector of ∠RST. If m∠RSV = (3x + 5)° and m∠RST = (8x − 14)°, find x.
    9·1 answer
  • The length of a rectangle is six times its width. if the perimeter of the rectangle is 140 in , find its area.
    7·1 answer
  • The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negativ
    9·2 answers
  • Tommy Webster obtained a 30-year, $110,000.00 mortgage loan from People's Savings. The interest rate is 7.5 percent. For the fir
    7·1 answer
  • Three ships, A, B, and C, are anchored in the atlantic ocean. The distance from A to B is 36.318 miles, from B to C is 37.674 mi
    12·1 answer
  • The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthes
    9·2 answers
  • Spike is not a terribly bright student. His chances of passing chemistry are 0.35; mathematics, 0.40; and both, 0.12. Are the ev
    8·1 answer
  • 5.345345... can be expressed as (fraction form)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!