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3 years ago

The objective function is . z=6x+4y

Mathematics

1 answer:

Elena L [17]3 years ago

6 0

$\large\rm\color{Yellow}Answer:$

The objective function is. Z=6x+4y

A. Find the value of the objective function at each corner of the graphed region. ( 2,10)

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A business owner opens one store in town A. The equation p(x) = 10,000(1.075) represents the anticipated profit after t years. T

alexgriva [62]

The rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t

So, given that both store A and store B follow the same equations but t is different for them, you can right:

Store A: pA (t) 10,000 (1.075)^t

Store B: pB(t'): 10,000 (1.075)^t'

=> pA(t) / pB(t') = 1.075^t / 1.075^t'

=> pA(t) / pB(t') = 1.075 ^ (t - t')

And t - t' = 0.5 years

=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368

or pB(t') / pA(t) = 1.075^(-0.5) = 0.964

=> pB(t') ≈ 0.96 * pA(t)

Which means that the profit of the store B is about 96% the profit of store A at any time after both stores have opened.

7 0

3 years ago

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a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared cent

liberstina [14]

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

3 0

2 years ago

The position of an object along a vertical line is given by s(t) = −t3 + 3t2 + 7t + 4, where s is measured in feet and t is meas

saw5 [17]

Answer:

The maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

Step-by-step explanation:

Given : The position of an object along a vertical line is given by $s(t) = -t^3+3t^2+7t +4$ , where s is measured in feet and t is measured in seconds.

To find : What is the maximum velocity of the object in the time interval [0, 4]?

Solution :

The velocity is rate of change of distance w.r.t time.

Distance in terms of t is given by,

$s(t) = -t^3+3t^2+7t +4$

Derivate w.r.t. time,

$v(t)=s'(t) = -3t^2+6t+7$

It is a quadratic function so its maximum is at vertex of the function.

The x point of the function is given by,

$x=-\frac{b}{2a}$

Where, a=-3, b=6 and c=7

$t=-\frac{6}{2(-3)}$

$t=-\frac{6}{-6}$

$t=1$

As 1 lie between interval [0,4]

Substitute t=1 in the function,

$v(t)= -3(1)^2+6(1)+7$

$v(t)= -3+6+7$

$v(1)=10$

Th maximum velocity is 10 ft/s.

Therefore, the maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

8 0

3 years ago

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In Abbys office there are 42 men. The ratio of men to women in the office is 7.5. How many women are in the office?

natima [27]

Solution to this question is, first we need to change the ratio of men to women is 7:5 y = 42y/x = 7/5
5y = 7xx = 5y/7x = (5 * 42)/ 7x = 30
The number of women in the office is 30.The answer is 30.

7 0

3 years ago

Tools

Zanzabum

Answer:

Step-by-step explanation:

I had this question a few months back and I think this was the answer not too sure though

6 0

3 years ago

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