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Sliva [168]
3 years ago
6

One winter's day the temperatures were recorded in five different cities in New York State. The table below shows the results of

this recording. What is the mean or average temperature of the five cities?

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

Answer:

Add them all up -11+-18+12+-8+21=-4

Then do -4/5= -.8

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6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
3 years ago
What is 95% off $780
gogolik [260]

Answer:39

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Ahmed wrote two numbers. The first number has a 7 in its tenths place. The
Colt1911 [192]

Answer: i think the answer is B thousands

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Hello!
avanturin [10]

Answer:

  • 7.71 km²

Step-by-step explanation:

<u>Area of triangle:</u>

  • A = 1/2bh

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

<em>See attached for details</em>

  • sin 40° = h/4
  • h = 4 sin 40°
  • h = 2.57 km

<u>The area is:</u>

  • A = 1/2*6*2.57 = 7.71 km²

6 0
2 years ago
Read 2 more answers
What is the value of the smallest of five consecutive integers if the least minus twice the greates equals -3
Alexeev081 [22]

Answer: (b)

Step-by-step explanation:

Given

There are five consecutive integers and the least minus twice the greatest equals to -3

Suppose x,x+1,x+2,x+3,x+4 are the five consecutive integers

According to the question

\Rightarrow x-2(x+4)=-3\\\Rightarrow x-2x-8=-3\\\Rightarrow -x=8-3\\\Rightarrow x=-5

option (b) is correct.

4 0
2 years ago
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