Deandre pays $15.20 for a pack of 8 towels.

Jason decided to look at new trucks. Jason found a used truck for 34,000 dollars. A new truck is 40,000 dollars so what percent

nexus9112 [7]

Answer:

Percent of rise of a new truck on a used truck = 15%

Step-by-step explanation:

Let x be the percentage of saved money if Jason buying a used truck.

Given:

Price of the used truck = $34,000

Price of the new truck = $40,000

We need to find the percent of rise Jason saves on a used truck rather than buying a new truck

Solution:

Using a percentage formula.

$percentage\ cost = \frac{(100-x)}{100}\times Original\ cost$

Substitute Percentage cost = 34,000 and Original cost = 40,000 in above formula.

$34000 = \frac{(100-x)}{100}\times 40000$

$34000 = (100-x)\times 400$ ( $\frac{40000}{100}=400$ )

Using cross multiplication rule.

$(100-x)=\frac{34000}{400}$

$85=100-x$

$x = 100-85$

x = 15%

Therefore, Jason used 15% rise of a new truck for a used truck.

6 0

3 years ago

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$

The minimum cost occurs at the point where the derivative equals zero.

$C^{'}=\frac{-27840+32\pi r^3}{3r^2}$

$When \:C^{'}=0$

$-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518$

Recall:

$h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet$

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0

3 years ago

What is compound interest

Andrews [41]

Is interest<span> calculated on the initial principal I think

Best of luck hope I helped :3</span>

6 0

3 years ago

Read 2 more answers

Explain how to use long division to divide two polynomials.

Pani-rosa [81]

1. Divide the first term of the numerator by the first term of the denominator, and put that in the answer.
2. Multiply the denominator by that answer, put that below the numerator.
3. Subtract to create a new polynomial.

4 0

3 years ago

Read 2 more answers

saul makes green paint by mixing blue paint. For every 4 gallons of green paint he uses 3 gallons of blue paint .Drag the correc

Aleksandr [31]

Green paint is made by mixing yellow and blue paint. Given that, every 4 gallons of green paint contains 3 gallons of blue paint, how many gallons of yellow paint is in 4 gallons of green paint? Green-blue=yellow
4-3=1 Therefore 1 gallon of yellow paint is in 4 gallons of paint.
The ratio of blue to yellow is 3:1
If there are 16 gallons of green paint, how many gallons blue and yellow are in it? blue= 3 in 4 green
If 16=4
=3
3/4*16=12 Therefore there are 12 gallons of blue paint in 16 gallons of green paint.
Yellow=1 in 4 gallons
If16=4
=1
1/4*16=4 Therefore there are 4 gallons of yellow paint in 16 gallons of green paint.
I am not so sure about this but I hope it helps.Sorry if it doesn't

7 0

3 years ago