Julie bought 12

Carlos is a boat dealer who bought a sailor for 11,400 and sold it for 12,711 what percent was his markup on a boat

dangina [55]

So we have 11400 +11400×x=12711
this represents the original price plus some percentage of the original price is equal to the new price. now all we need to do is solve for x
so 11400+11400x=12711
subtract 11400 from each side
11400x=1311 now divide both sides by 11400
x=.115 or about 12%
we can. check by finding 12% of the original price.
11400×.12=1368
now add to 11400
11400+1368=12768 so we are a bit over. this is because it is actually 11.5% just depends on how accurate your answer needs to be

6 0

3 years ago

A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can cost

Advocard [28]

Answer:

Radius = 1.12 inches and Height = 4.06 inches

Step-by-step explanation:

A soup can is in the shape of a right circular cylinder.

Let the radius of the can is 'r' and height of the can is 'h'.

It has been given that the can is made up of two materials.

Material used for side of the can costs $0.015 and material used for the lids costs $0.027.

Surface area of the can is represented by

S = 2πr² + 2πrh ( surface area of the lids + surface are of the curved surface)

Now the function that represents the cost to construct the can will be

C = 2πr²(0.027) + 2πrh(0.015)

C = 0.054πr² + 0.03πrh ---------(1)

Volume of the can = Volume of a cylinder = πr²h

16 = πr²h

$h=\frac{16}{\pi r^{2}}$ -------(2)

Now we place the value of h in the equation (1) from equation (2)

$C=0.054\pi r^{2}+0.03\pi r(\frac{16}{\pi r^{2}})$

$C=0.054\pi r^{2}+0.03(\frac{16}{r})$

$C=0.054\pi r^{2}+(\frac{0.48}{r})$

Now we will take the derivative of the cost C with respect to r to get the value of r to get the value to construct the can.

$C'=0.108\pi r-(\frac{0.48}{r^{2} })$

Now for C' = 0

$0.108\pi r-(\frac{0.48}{r^{2} })=0$

$0.108\pi r=(\frac{0.48}{r^{2} })$

$r^{3}=\frac{0.48}{0.108\pi }$

r³ = 1.415

r = 1.12 inch

and h = $\frac{16}{\pi (1.12)^{2}}$

h = 4.06 inches

Let's check the whether the cost is minimum or maximum.

We take the second derivative of the function.

$C"=0.108+\frac{0.48}{r^{3}}$ which is positive which represents that for r = 1.12 inch cost to construct the can will be minimum.

Therefore, to minimize the cost of the can dimensions of the can should be

Radius = 1.12 inches and Height = 4.06 inches

5 0

3 years ago

How to solve inequalities with word problems

s2008m [1.1K]

<span>1. Read through the entire problem. 2. Highlight the important information and key words that you need to solve the problem. 3. Identify your variables. 4. Write the equation or inequality. 5. Solve. 6. Write your answer in a complete sentence. 7. <span>Check or justify your answer. hope this helps :D</span></span>

7 0

3 years ago

4 movie tickets cost $48. At this rate with is the cost of 5 movie tickets

cupoosta [38]

60 dollars, because each movie ticket cost 12$.

4 0

3 years ago

Read 2 more answers

99.7 of all newborn babies in the United States weigh between

Marina CMI [18]

Answer:

2000-5000 g