You set up 240 chairs in four rows. How many chairs are in one row?

A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.

serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.

b. What's the company's maximum profit?

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

6 0

3 years ago

The value of 37 − − √ − 24 − − √ 37−24 is between:

Effectus [21]

Answer:23 And 24

Step-by-step explanation:

((37 - (−√(−24))) - (−√(37))) - 24 =

19.0827625 + 4.89897949 i

19.0827625

+ 4.89897949

23.98174199

23.98174199 is between 23 and 24

3 0

3 years ago

An isosceles triangle has an angle of 70°. what are the possible values of the other two angles?

IRINA_888 [86]

Answer:

55 and 55 or 70 and 40

Step-by-step explanation:

A triangle has 180o and an isosceles triangle has two angles that are the same. As 70 is less than half, we have a couple of possible solutions to this. So one possible solution is 70-55-55. So the other possible solution is 70-70-40.

3 0

3 years ago

A survey asked 20 mobile phone dealers how many mobile phones were sold during the previous week. Their answers are displayed in

Sidana [21]

The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.

In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.

The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:

Minimum
First Quartile
Median (Second Quartile)
Third Quartile; and
Maximum.

It is to be noted that referenced plots are not indicated hence, the general answer.

Learn more about Stem-and-Leaf Plot at:
brainly.com/question/8649311
#SPJ1

8 0

2 years ago

How to round to the nearest thousandth

djyliett [7]

if the number we were rounding was 2.4784

Number to the right of the thousandth digit is 4.

Since 4 is less than 5 we round down and leave the

thousandth place digit unchanged.

Answer: 2.4780

Remember: If less than 5, round down. If 5 or greater,

round up.

Step-by-step explanation:

8 0

3 years ago