1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tresset [83]
2 years ago
10

$500, 3.75% 4 months

Mathematics
1 answer:
Naya [18.7K]2 years ago
6 0
I don’t see any pictures
You might be interested in
You’re instructed to prepare for a promotional candle sale you will use to test the popularity of the two redesigned candles. Wi
Anuta_ua [19.1K]

Answer:

THE SMALLEST FORMS:

- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3

- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3

- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3

- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3

The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost  per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.

THE BIGGEST FORMS:

- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3

- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3

- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3

- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3

The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is  0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle

The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market,  you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.

If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.

Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:

Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4

The new length is 10-4=6 and the new width is 2+4=6.

Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)

7 0
2 years ago
F(x) = 1/x g(x)=x-4 can you evaluate (g*f)(0) ? Why or why not?
Dmitriy789 [7]

(g\cdot f)(x)=\dfrac{1}{x}-4

D_{g(f(x))}:x\not =0

No, since 0 doesn't belong to the domain.

5 0
3 years ago
12xy-44y+5 determine if it is prime or factorable
Elza [17]

PrimeAnswer:

Step-by-step explanation:

8 0
3 years ago
Ms.Gallegos works 8 hours per day. She made $2,400 for working 10 days. How much money does Ms. Gallegos make per hour
ExtremeBDS [4]

Answer:

30 dollars per hour

5 0
2 years ago
What is the length of the base of a yield sign that has a height of 14 inches and has an area of 84 square inches? Write the num
Rufina [12.5K]
That's simple, it is 6. Hope this helps.
4 0
3 years ago
Read 2 more answers
Other questions:
  • (3ft = 1yard) how many yards are in 81 feet ?
    14·2 answers
  • Which answer explains the type of sequence
    14·1 answer
  • If f(x)=-12x−3, find x for f(x)=89.
    12·2 answers
  • Add the quotient of 120 and 60 to the quotient of 72 and 9
    14·1 answer
  • What's an expression with a value of 12
    9·2 answers
  • Hi, can someone help me with this word problem... i struggle with word problems and can seem to figure this one out!
    15·1 answer
  • Juan builds a square dog pen that has an area of 100 square feet. He then builds a second pen that has an area of 49 square feet
    8·2 answers
  • The diameter of circle X is 15 centimeters. The diameter of circle Y is 20 centimeters. Which measurement is closest to the diff
    15·2 answers
  • Please use an equation step by step and please show the numbers do not use words
    7·1 answer
  • Please help, will give brainiest IF correct !! 40 points
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!