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3 years ago

I don’t know how to explain it.

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt{x^6}\implies \sqrt[2]{x^6}\implies x^{\frac{6}{2}}\implies x^{\frac{3}{1}}\implies x^3$

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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

in a yaz game, Gina won 3 games, lost 5, later won 6 and finally lost 4, what was the balance of the game?

Andreas93 [3]

Answer:

Step-by-step explanation: 3-5=-2+6=4-4=0

8 0

3 years ago

Help help math math math

Natalija [7]

Answer:

$\displaystyle m = 3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step explanation:

Step 1: Define

Identify points.

Point (8, 1)

Point (11, 10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]: $\displaystyle m = \frac{10 - 1}{11 - 8}$
[Order of Operations] Evaluate: $\displaystyle m = \frac{9}{3}$
Simplify: $\displaystyle m = 3$

6 0

3 years ago

Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the

jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

$x$ × 0.1 × 1 + ( $40000 - x$ ) × 0.06 × 1 = 3600

(0.1- 0.06) $x$ + 2400 = 3600

0.04 $x$ = 1200

$x$ = 30,000

Since x = sum of money invested in corporate bonds

So sum of money invested in corporate bonds = 30000

4 0

4 years ago

Liz flips a coin 90 times. The coin lands head up 63 times and tails up 27 times. The theoretical probability of the coin landin

professor190 [17]

Answer:

50%

Step-by-step explanation:

This question asks for the theoretical probability

In order to find theoretical probability, we find how many outcomes are possible, and how likely each action is.

In this case, we are flipping a coin. There are only two possible outcomes of this, which are heads and tails. Each of these are equally likely, so that would mean the theoretical probability of flipping it and it landing heads up is 50%

7 0

3 years ago

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