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77julia77 [94]
3 years ago
7

A laundry owner's estimate of her weekly profits, is given by the equation p=-4w2+160w, where w represent the number of workers

she hires. What is the number of workers she should hire in order to earn the greatest profit?
Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Answer:

Number of workers = 20.

Step-by-step explanation:

p = - 4w^2 + 160 w

We need to find the value of w when p is a maximum.

We need to convert the equation to vertex form:

p = -4w^2 + 160w

p = -4(x^2 - 40w)

p = -4 [ (x - 20)^2 - 400]

p =  -4(x - 20)^2 + 1600.

So the vertex is at  (20 , 1600)

The maximum profit is 1600 and the number of workers = 20.

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antoniya [11.8K]
In the drawing the base picture shows two squares on next to each other

The side picture shows three squares, one next to other and one above the square that right most.

 The front picture shows two one square above other square.

The three dimensional figure that corresponds to those three view is a set of three boxes two in the base and one above one of the boxes of the base.
5 0
3 years ago
Simone saved $15.45 from allowance, had $7.37 in her piggy bank, and had $22.55 left from her birthday. How much money does Simo
zmey [24]

Simon has $45.37

Simone savings from allowance= $15.45

Amount Simone had in piggy bank = $7.37

Left over from birthday = $22.55

Total amount of money that Simone now has = $15.45 + $7.37 + $22.55

Total amount of money that Simone now has = $45.37

Simon has $45.37

Learn more here: brainly.com/question/20521181

6 0
2 years ago
Determine the equation of a line that passrs through the point (4,-1) and also parallel to y=3x+4
nexus9112 [7]
First, plug in the given point into y=mx +b to find b (the y-intercept of the line). Use the same slope (m) in the equation since parallel lines have the same slope (3 in this case).

-1 = 3(4) +b
-1 = 12 + b Subtract 12 to both sides.
-13 = b

Now, put your m and b into y=mx+b.

The final answer/equation of your line is:

y=3x -13
5 0
3 years ago
Suppose that salaries for recent graduates of one university have a mean of $25,700 with a standard deviation of $1350. Using Ch
sergeinik [125]

Answer:

75% of the data will reside in the range 23000 to 28400.

Step-by-step explanation :

To find the range of values :

We need to find the values that deviate from the mean. Since we want at least 75% of the data to reside between the range therefore we have,

1 - \frac{1}{k^2} =\frac{75}{100}

Solving this, we would get k = 2 which shows the value one needs to find lies outside the range.

Range is given by : mean +/- (z score) × (value of a standard deviation)  

⇒ Range : 25700 +/- 2 × 1350

⇒ Range : (25700 - 2700) to (25700 + 2700)

Hence, 75% of the data will reside in the range 23000 to 28400.

3 0
3 years ago
If a hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot, how much cleaning solu
kirill115 [55]
90ft by 7ft gives an area of:
90 x 7 = 630 sq ft

1/2 fl oz is needed for each square foot

630 x 1/2 = 315 fl oz required.
4 0
3 years ago
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