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3 years ago

HELP ASAP G = a(4 – d)

Mathematics

2 answers:

NemiM [27]3 years ago

6 0

Answer:

g/-d+4

Step-by-step explanation:

kozerog [31]3 years ago

3 0

What variable are you solving for?

a4-ad
———
G

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Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of

bekas [8.4K]

Answer:

The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

The price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Step-by-step explanation:

From the question, we have:

x = −2000p + 4000 ..................... (1)

Where;

x = number of cookies sold

p = price of a cookie, p, and the

Revenue function (R) can therefore be obtained as follows:

R = px ……………………….. (2)

If we substitute equation (1) into (2), we will have:

R = p(−2000p + 4000)

R = −2000p^2 + 4000p ……………… (3)

Differentiating equation (3) with respect to p and set it equal to zero, we have:

−4000p + 4000 = 0

Solving for p, we have:

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into equation (3), we have:

R = (−2000 * 1^2) + (4000 * 1)

R = (−2000 * 1) + (4000 * 1)

R = −2000 + 4000

R = 2000

This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

6 0

3 years ago

For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?

STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

$z=\frac{x-\mu}{\sigma}$

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of $-0.25$ .

Upon substituting our given values in z-score formula, we will get:

$-0.25=\frac{x-500}{100}$

$-0.25*100=\frac{x-500}{100}*100$

$-25=x-500$

$-25+500=x-500+500$

$x=475$

Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

3 0

3 years ago

How many tens are in 6000

dybincka [34]

Road learning: Just take out one 0 for tens, two 0 for hundreds and three 0 for thousands. The answer is 600.

6 0

3 years ago

A small airplane can fly 12 miles in 3 minutes. At this rate, how far can the airplane fly in 1 hour?

Sidana [21]

Answer:

The airplane can fly up to 240 miles in a hour

Step-by-step explanation:

Cross multiply

(12)(60)=3x

720=3x

Divide 3 on both sides

x=240

7 0

3 years ago

Read 2 more answers

If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid

Artist 52 [7]

Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

$\bf \textit{volume of a rectangular prism}\\\\
V=lwh\quad 
\begin{cases}
l = length\\
w=width\\
h=height\\
-----\\
w=l=x
\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\
-------------------------------\\\\
\textit{surface area}\\\\
S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h
\\\\\\
\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\
-------------------------------\\\\
V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3$

so.. that'd be the V(x) for such box, now, where is the maximum point at?

$\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2
\\\\\\
\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100
\\\\\\
x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}$

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.

so, the volume will then be at $\bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3$

6 0

3 years ago