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3 years ago

The area of a square photo is 9 square inches how long is each side of the photo

1 answer:

3 0

Let the side of each side of photo is a inch.

So area of photo = (side)^2 = $a^2$

But as given area of photo is 9 square inch.

So $a^2 = 9$

$a = \sqrt{9}$
$= 3$

So side of photo is 3 inch.

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Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by Start 1 By 3 Matrix

Nesterboy [21]

Answer:

Cost is Increasing at a rate of 20,000 per week
Revenue is decreasing at a rate of 100,000 per week
Profit is decreasing at a rate of 120,000 per week

Step-by-step explanation:

The cost, revenue, and profit equations for a company manufacturing calculators are given below:

Cost, C=90000+40x
Revenue, $R=200x-\frac{x^2}{20}$
Profit = R - C

$\frac{dx}{dt} =500\\$ When Production output x=4000

Change in Cost

Cost, C=90000+40x

$\frac{dC}{dt} =40\frac{dx}{dt}=40*500\\\frac{dC}{dt}=20,000$

Change in Revenue

$\frac{dR}{dt} =200\frac{dx}{dt}-\frac{x}{10}\frac{dx}{dt}\\=200*500-\frac{4000}{10}*500\\\frac{dR}{dt} =-100,000$

Change in Profit

$\frac{dP}{dt} =\frac{dR}{dt}-\frac{dC}{dt}\\=-100,000-20,000\\\frac{dP}{dt}=-120,000$

Therefore, when production output is 4000 and increasing at a rate of 500 calculators per week,

Cost is Increasing at a rate of 20,000 per week
Revenue is decreasing at a rate of 100,000 per week
Profit is decreasing at a rate of 120,000 per week

5 0

3 years ago

What is the equation of the circle with a diameter of 6 units and a center located at (2, −5) on the coordinate plane? a A b B c

Nastasia [14]

Answer:

$(x-2)^2+(y+5)^2=36$

Step-by-step explanation:

Recall that the equation of a circle of radius R centered at $(x_0,y_0)$ is given by:

$(x-x_0)^2+(y-y_0)^2=R^2$

For your particular case: R = 6, $x_0$ = 2, and $y_0$ = -5, therefore the equation becomes:

$(x-x_0)^2+(y-y_0)^2=R^2\\(x-2)^2+(y-(-5))^2=6^2\\(x-2)^2+(y+5)^2=36$

6 0

3 years ago

You work as a sales clerk at a fashion boutique. The store is having a 20 percent off everything sale. Additionally, your manage

lubasha [3.4K]

Your answer is D.

The jeans are 40% off (because you add 20% more).

And the original cost of the jeans is $30.

You could have done:

30 · 0.40 = 12 (Find 40% of $30, then subtract 30 by 40% of 30 to get the new sale price]

30 - 12 = 18

1 - 0.40 = 0.60 (You subtract 1 by 0.40 to get 0.60, which is the % of the original price that you have to pay)

30 · 0.60 = 18

7 0

3 years ago

Read 2 more answers

99 pints = how many quarts

Elza [17]

99 pints = 49.5 quarts

8 0

3 years ago

Read 2 more answers

Which shows how the distributive property can be used to evaluate 7x8 4/5?

Yuri [45]

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)] (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5 (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

5 0

2 years ago

Read 2 more answers