Find the area of the following figure. Explain or show how you found your answer.
1 answer:
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This is a growth exponential equation.
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times.
The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.
Comment
Realize that if her boss does not want to give her compounded interest that she could still make
Ln = L
= 100 + (n - 1)*0.02*100
L
= 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more.
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times.
The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.
Comment
Realize that if her boss does not want to give her compounded interest that she could still make
Ln = L
L
By compounding she makes a whole 0.87$ more.
Answer:
No, the cone will not hold all of the ice cream.
Step-by-step explanation:
Given:
" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.
If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.
Now, to explain mathematically will the cone hold all of the ice cream.
<u>Taking the value of π = 3.14.</u>
So, to get the volume of waffle cone we put formula:
Height (h) = 6 inches.
Diameter =
Thus radius (r) = Diameter ÷ 2 =
The volume of waffle cone = 10.78 inches³.
Now, to get the volume of scoop which is in the shape of sphere we put formula:
Diameter =
Thus radius (r) = Diameter ÷ 2
<em>The volume of one scoop of ice cream = 12.47 inches³.</em>
<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>
<u><em>Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.</em></u>
Therefore, no the cone will not hold all of the ice cream.