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3 years ago

Find the volume of the rectangular prism.

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

D, 576

Step-by-step explanation:

To find the volume of a rectangular prism, you simply need to multiply all of the side lengths together. 4*9*16=576, or answer choice D.

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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum

wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information: $P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000$ , where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

$\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2$

Equating it to zero we get,

$x^2 + 36x - 6400 = 0$

We use the quadratic formula to find the values of x:

$x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$ , where a, b and c are coefficients of $x^2, x^1 , x^0$ respectively.

Putting these value we get x = -100, 64

Now, again differentiating

$\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x$

At x = 64, $\displaystyle\frac{d^2(P(x))}{dx^2} < 0$

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0

3 years ago

Last week Anna received a pay check for $442.50. She noticed in the check stub that $47.30 of the money she earned had been with

Troyanec [42]

Answer:

Percentage of Taxes = 10.689 %

Step-by-step explanation:

Given that

Total earning of Anna is $442.50

The amount which is held with Taxes = $47.30

Now in terms of percentage

percentage of taxes from her total earning = $\frac{47.30}{442.50} times 100$

So % taxes = ( 0.106892) × 100

∴ Taxes percentage = 10.689 %

6 0

3 years ago

Please help...thanks

olga_2 [115]

Answer: The whole is divided into 3 equal parts. 2 out of 3 parts are shaded. 2/3 (two thirds) of the whole is shaded. 1/3 (one third) of the whole is not shaded.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?

kicyunya [14]

Answer: 2%, second option is correct.

Step-by-step explanation:

To state 1/50 in percent, divide 1 by 50, then multiply by 100

=( 1 ÷ 50) x 100

= 0.02 x 100

= 2%

I hope this helps, please mark as brainliest.

5 0

3 years ago

ANSWER AND SHOW WORK FOR 40 POINTS

Elanso [62]

Answer:

Q1) (x+7)² = 9

x = -10, -4

Q2) (x-8)² = 144

x = -4, 20

Q3) (x-1)² = 81

x = -8, 10

Step-by-step explanation:

Q1) x² + 14x + 49 = 9

x² + 2(x)(7) + 7² = 9

(x + 7)² = 9

x + 7 = +/- sqrt(9)

x + 7 = 3

x = -4

x + 7 = -3

x = -10

Q2) x² - 16x + 64 = 144

x² - 2(x)(8) + 8² = 144

(x - 8)² = 144

x - 8 = +/- sqrt(144)

x - 8 = 12

x = 20

x - 8 = -12

x = -4

Q3) x² - 2x + 1 = 81

x² - 2(x)(1) + 1² = 81

(x - 1)² = 81

x - 1 =+/- sqrt(81)

x - 1 = 9

x = 10

x - 1 = -9

x = -8

5 0

3 years ago

Read 2 more answers