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3 years ago

Help this is due today, its one question

1 answer:

7 0

2389.51 times 6% equals 143.37 so 6% of his total sales equals 143.37. 6.25 times 37.5 equals 234.37 234.37+143.37 equals 377.745 so no it isn't enough. I hope this answer helps you

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A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0

3 years ago

If there's 15 players total 1/3 are wearing red shoes 2/5 or wearing blue shoes and everyone else is wearing black shoes what is

Volgvan

Answer:

$\frac{4}{15}$ is the fraction of people wearing with black shoes.

Step-by-step explanation:

Given:

If there's 15 players total, 1/3 are wearing red shoes, 2/5 are wearing blue shoes and everyone else is wearing black shoes.

Now, to find the fraction of people with black shoes.

Total players = 15.

Fraction of people wearing red shoes = $\frac{1}{3}.$

So, number of people are wearing red shoes:

$\frac{1}{3} \times 15\\\\=5.$

Fraction of people wearing blue shoes = $\frac{2}{5} .$

Thus, number of people wearing blue shoes:

$\frac{2}{5} \times 15\\\\=6.$

And rest are wearing black shoes.

Now, to get the number of people wearing black shoes by subtracting number of people are wearing red shoes and blue shoes from the total number of players:

$15-5-6\\\\=15-11\\\\=4.$

Thus, the fraction of people wearing black shoes:

$\frac{Number\ of\ people\ wearing\ black\ shoes}{Total\ number\ of\ players}$

= $\frac{4}{15} .$

Therefore, $\frac{4}{15}$ is the fraction of people wearing with black shoes.

6 0

3 years ago

What is the slope intercept form if an equation with a slope of 8 and a y- intercept of -3

Elza [17]

Answer: y=8x-3

explanation:
y=mx+b
m= slope
b= y intercept

m=8 b=-3
y=8x-3

6 0

3 years ago

2. A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as

oksano4ka [1.4K]

Answer:

2. 10 muffins with chocolate 30 without chocolate

Step-by-step explanation:

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2 years ago

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2 years ago