Answer:
Volume of Cone =
Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula
Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =
Thus, Volume = 16.75 cubic feet
Answer:
x= −41
/20
Step-by-step explanation:
(2x+3)(2)+8(2x+3)+11=0
(4x+16x)+(6+24+11)=0(Combine Like Terms)
20x+41=0
20x+41=0
Step 2: Subtract 41 from both sides.
20x+41−41=0−41
20x=−41
Step 3: Divide both sides by 20.
20x
/20 = −41
/20
x=
−41
/20
Answer:
(1,4)
Step-by-step explanation:
The two lines intersect at 1,4 when you graph them
The first equation is already in slope intercept from, so you know the y-int. is 7 and the slope is 3. However, the second equation must be put in slope int. form.
5x+2y=3
move the y to the other side
5x=3-2y
move the 3 to the other side, so the y variable is by itself
5x-3=-2y
divide by -2 to the equation is equal to y
(-5x/2)+(3/2)=y
you now know the y int. of the second equation is 3/2 and the slope is -5/2
know that you know the slop int. formulas for both equations you can graph them
Based on the information, Christian would have $5525.5 of annuity.
<h3>How to calculate the annuity?</h3>
According to given information, the number of coffees per week is 3 then, per month is 3x4 = 12
For each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of annuity.
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Answer:
b = 7
Step-by-step explanation:
Given
8 - (3 + b) = b - 9 ← distribute parenthesis on the left by - 1
8 - 3 - b = b - 9, that is
5 - b = b - 9 ( subtract b from both sides )
5 - 2b = - 9 ( subtract 5 from both sides )
- 2b = - 14 ( divide both sides by - 2 )
b = 7
