Negative 4,200 divided by 300

He needs to purchase some work clothes and notices that J.C. Penney is having a 25% off of your total purchase sale. He decides

SVETLANKA909090 [29]

First, lets determine the regular price of his purchase :

16.99 (3) + 34.99 (3) + 52.99 (2) + 5.99 (5) = 50.97 + 104.97 + 105.98 + 29.95 = 291.87

Therefore, the regular price of his purchase is $291.87 before sales tax.

If he receives 25% off of his total purchase, then the price is now :

291.87 * .75 = $218.90

We multiply by 75% because we are only paying 75% of the total purchase price since we received a 25% discount.

The total savings is

291.87 - 218.90 = $72.97

If sales tax is 10%, the total purchase price after sales tax is :

218.90 * 1.10 = $240.79

The sales tax is $21.89 since

240.79 -218.90 = 21.89

If he pays with 3 $100 bills, we should receive :

300 - 240.79 = $59.21

in change.

5 0

3 years ago

. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum

Drupady [299]

Answer:

$r=1.05\ \text{ft}$

$h=2.12\ \text{ft}$

$20.91\ \text{ft}^3$

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = $7.35\ \text{ft}^3$

$V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}$

Surface area is given by

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}$

Differentiating with respect to radius we get

$\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}$

Equating with zero we get

$0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05$

$\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0$

So, the value of the function is minimum at $r=1.05$

$h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12$

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3$

The minimum surface area is $20.91\ \text{ft}^3$ .

8 0

3 years ago

Bart's drive to the airport takes 232323 minutes. What is the latest time Bart can leave to arrive at the airport by a quarter b

Nikitich [7]

It take 23 mins for the drive

He needs to reach the airport by a quarter before 6

a quarter before 6 = 5.45
So he needs to leave 23 mins before 5.45

23 mins before 5.45 = 5.22

6 0

3 years ago

Find the distance between the points given. (-3, 2) and (9, -3) √(61) √(37)

cricket20 [7]

Answer:

d=13.

Step-by-step explanation:

d= $\sqrt{(x_{2}-x_{1} ) ^{2} +(y_{2}-y_{1} ) ^{2}}$