MATHEMATICS
MIDDLE SCHOOL

Answer:

Can you explain more in detail? Does he get $40 dollars per day, and does he work 5 days a week? Or does he work 4 days a week? I need to know how many days per week he works, and I will help you solve this. :)

Answer: How many days has it been. is it 40 daily. if 1 day then 405 ÷ 5 is 81

HIGH SCHOOL

Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula P= -2x^2 + 8x + 2, where x is the number of units produced per week, in thousands. a.How many units should the company produce per week to earn the maximum profit?

b.Find the maximum weekly profit

The required number of units that are produced per week to earn the maxium profit is 2000 units and the maximum weekly profit is given as $1000.

Given that,

Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula P= -2x^2 + 8x + 2, where x is the number of units produced per week, in thousands.

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

Here,

equation of the profit,

P = -2x² + 8x + 2

Differentiate the above equation to get the maxium

dp/d/x = -4x + 8

Equate it to zero,

-4x = 8

x = 2

Actual value of x,

x = 2 [1000] = 2000 units

now,

put 2 in the profit equation,

P = 10

actual value of the p

P = 10[100] = $1000

Thus, the required number of units that are produced per week to earn the maxium profit is 2000 units and the maximum weekly profit is given as $1000.

Learn more about implicit differentiation here; brainly.com/question/11887805

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Answer:

x=2000 and max profit =10,000 dollars

Step-by-step explanation:

Given that Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula

,

where x is the number of units produced per week, in thousands

We can use derivative test for finding the maximum profit

Let us differentiate P with respect to x two times

Actual units = 2000

a) 2 units should be produced per week to get maximum profit

b) Maximum profit =

Maximum profit actual =10000 dollars.

HIGH SCHOOL

What is the square root of 252 in simplest radical form?

252 = 2^2*3^2*7

√252 = 6√7

√252 = 6√7

HIGH SCHOOL

Line E passes through the points (-3,4) and (2,7). what is the slope of a line perpendicular to line E?

Hello : let A(-3,4) B(2,7)

the slope is : (YB - YA)/(XB -XA)

(7-4)/(2+3) = 3/5

the slope of a line perpendicular to line E is : a

a×3/5 = -1

a = -5/3

the slope is : (YB - YA)/(XB -XA)

(7-4)/(2+3) = 3/5

the slope of a line perpendicular to line E is : a

a×3/5 = -1

a = -5/3

HIGH SCHOOL

Write the expression 3m-4n-8 as a sum. How does this help you identify the terms of the expression? Indentify the term

3m-4n-8 as a sum is: 3m + (-4n) + (-8)

Writing the equation as a sum helps identify the terms of the expression because it makes the terms visibly clearer to make out, so it can help prevent mistakes as well. The terms are the negative (-) and the positive (+). We now have a better visual of what the term of each number is.

Writing the equation as a sum helps identify the terms of the expression because it makes the terms visibly clearer to make out, so it can help prevent mistakes as well. The terms are the negative (-) and the positive (+). We now have a better visual of what the term of each number is.