Answer:
Step-by-step explanation:
If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).
That's volume outer - volume inner. To find the outer volume:
so
and
and do the same for the inner volume:
and
Subtract the inner from the outer:
If you need your answer in decimal form, then the volume is
9189.16 cm³
Answer:
B
Step-by-step explanation:
its hard to explain, but just trust me bro. lol.
Answer:
Their is 10% of males and females.
Step-by-step explanation:
Because if you subtract 50% and 40%you would get 10% that means their is more females.
The length and width of a rectangular field fully enclosed with 218 metes fencing are 63 meters and 46 meters respectively.
The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:
where
l = length
w = width
perimeter = 218 meters
The length of the field is 17 meters longer than the width, w. Therefore, the length is defined as follows:
The length and the width can be calculated as follows:
218 = 2(l + w)
218 = 2(17 + w + w)
218 = 34 + 4w
218 - 34 = 4w
184 = 4w
divide both sides by 4
w = 184 / 4
w = 46 meters
length = 17 + 46
length = 63 meters
learn more on rectangle here: brainly.com/question/15989799?referrer=searchResul
Answers:
a) See the table below
b) The equation is 
c) $40,024.02
d) See the graph below
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Explanations:
a)
Start with part (b) where I detail how to get the equation.
Once the equation is found, plug in x = 0 to get
Repeat for x = 1
Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.
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b)
The template for any exponential equation is 
a = starting amount = 32000
b = growth factor
The annual interest rate is 4.5%
We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125
We go from to
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c)
Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)
The investment would be worth $40,024.02 after five years, aka twenty quarters.
-----------------------
d)
See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.
