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Ugo [173]
3 years ago
5

A bookstore sells textbooks for $40 each and notebooks for $2 each. The bookstore would like to sell

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0
Make your notebooks your y value and textbooks your x value. Then you can graph 40X + 2y = 440 or simplify and graph y = -20X +220
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How to see warnings on brainly?<br> I got one, but don't know why. it is not in my notifications.
kirill [66]

Answer:

If its not in Notifications i don’t know where it would be.

Step-by-step explanation:

8 0
2 years ago
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A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid
Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = 2 \times width

Base area = lb

= 2x^2

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}

Now, cost is

= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}

now we have to minimize C(x)

So, we need to compute the C'(x)

= 52x - \frac{648}{x^2}

C"(x)  = 52x - \frac{1,296}{x^3}

now for the critical points, we will solve the equation C'(x) = 0

= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}

C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0

So, x is a point of minima that is

= (\frac{648}{52} )^\frac{1}{3}

Now, Base material cost is

= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}

= 139.75

Side material cost is

= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3}  }

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0
3 years ago
the strition family had a meal catered for a wessing rehearsal dinner. the costof the dinner was $476. there was a 5% sales tax
irakobra [83]
476*1.05*1.15=574.77
The Striton family paid a total of $574.77 on their meal.
8 0
4 years ago
Melissa earns $180 a week selling shoes plus a commission of $10 each pair of shoes she sells. How
eimsori [14]

Step-by-step explanation:

10X+ 180= 500

10X= 500-180

10X= 320. .....divine both sides by 10 to solve for X

X = 32.

check

10(32)+180 = 500

320+180 =500

500 =500...confirmed

4 0
3 years ago
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. The
solniwko [45]

Answer:

f(x) = 26500 * (0.925)^x

It will take 7 years

Step-by-step explanation:

A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.

To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.

4 0
4 years ago
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