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Elodia [21]
2 years ago
6

Firewood can be sold in cords. the wood is cut into equal lengths and stacked evenly in a rack. which geometric shape can be use

d as a model to calculate the volume of the cord of wood?
Mathematics
1 answer:
Nadya [2.5K]2 years ago
7 0

To estimate the volume of the chord of wood, since the wood exists cut into equal lengths and stacked evenly in a rack then we can use a cylinder as a model.

<h3>What is a cylinder?</h3>

In mathematics, a cylinder exists as a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases exist normally circular (like a circle) and the center of the two bases exists joined by a line segment, which exists named the axis.

A cylinder exists as a closed solid that contains two parallel circular bases joined by a curved surface.

To calculate the volume of the chord of wood, since the wood exists cut into equal lengths and stacked evenly in a rack then we can use a cylinder as a model.

To learn more about cylinders refer to:

brainly.com/question/8531193

#SPJ4

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The variable z is directly proportional to x. When x is 11, z has the value 44. What is the value of z when x = 21?
dimulka [17.4K]

Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..

Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So

Problem:

Dirextly to X (× by X)

Inversely to Y, (÷ by Y)

Z= k X/Y

Solve, working backwards: Z =5 becomes

5 = k (X) ÷ (Y). And

X=15 and Y =9 becomes

5= k(15)/(9). Undo ÷9, ×9 both sides

45= k(15). Now undo ×15 by ÷15 both sides

45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...

Z = 3X/Y

Use the new #s.... X=23, Y=14

Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals

4 0
3 years ago
Allie deposited $80 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have
77julia77 [94]

Answer: $96.8

Step-by-step explanation:

Formular for Compounding annually :

A =P ( 1 + r/n) ^nt

Where p is the Principal given as $80

r is the rate given as 10% = 10/100 = 0.1

n is the number of times the principal was compounded, given as 1

t is the time, given as 2 years:

Slot the values into the formula:

A= $80 ( 1 + 0.1/1) ^ (1 × 2)

A= $80 ( 1 + 0.1) ^2

A= $80 ( 1.1) ^2

A= $80 (1.21)

A= $80 x 1.21

A= $96.8

96.8 is already rounded to the nearest cent.

5 0
3 years ago
What are the real solutions of the equation x^4= 81?
zmey [24]
Use photomath it’s free
5 0
3 years ago
3. Suppose your credit card has a balance of $7800 and an annual interest rate of 16%. You decide
Blizzard [7]

Answer:

  • $274.22 per month
  • $2071.92 in total interest
  • $433.48 more per month
  • $1379.52 less in interest

Step-by-step explanation:

a) The amortization formula is used to find the monthly payment (A):

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

for a loan of a principal amount P at annual rate r compounded n times per year for t years.

For a borrowed amount of $7800 at 16% compounded monthly for 3 years, the payment will be ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·3)) ≈ $274.22

You must pay $274.22 each month to pay off the credit card in 3 years.

__

b) The total amount repaid is 36 times this monthly payment, so is ...

  $274.22 × 36 = $9871.92

The amount by which this exceeds the principal borrowed is ...

  $9871.92 -7800 = $2071.92

You will pay $2071.92 in interest.

__

c) Changing the time period to 1 year gives the payment value ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·1)) ≈ $707.70

The additional amount you must pay is ...

  $707.70 -274.22 = $433.48

You must pay $433.48 more each month.

__

d) Your total interest with the higher payments will be ...

  $707.70×12 -7800 = $692.40

The difference in interest amounts is ...

  $2071.92 -692.40 = $1379.52

You will pay $1379.52 less in total interest.

_____

<em>Caveat</em>

Here, the monthly amounts are rounded and the total repayment amount is based on that rounded value. In an actual payment situation, the final payment will be adjusted by a small amount to account for the fact that the monthly payment shown is not exact. That will affect the total interest and the difference in interest.

8 0
3 years ago
On a number line what is the distance between -61.5 and -23.4?
Savatey [412]
I believe it would be 38.1
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