Answer:
B
Step-by-step explanation:
We know that:
-measuring a cone
-diameter: 18 units
-height: 8 units
We need to know how to find the volume of this cone. To do this, we need the equation to find the volume of a cone:
where r=radius and h=height
Upon assessing this equation we also now know that we are missing a radius.
For a circle, the radius is the distance from the midpoint, center, to the border of the circle. The diameter is the distance from the border of one circle to another, passing through the midpoint. Knowing this, we can conclude that the diameter is two times the radius.
Using this information we can figure out the radius for this cone: 9 units.
Now that we have the radius, we can plug in the rest of the numbers with the correct placements.
square the 9 by calculating 9 times 9.
combine like terms and keep pi separate.
V=216
cubic units
Since this problem is asking for volume, we will used cubic units.
The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...
... A = P(1 +r/n)^(nt)
Putting your given numbers into the formula, we have
... 876.34 = 300(1 +.06/4)^(4t)
Taking logarithms, this becomes the linear equation
... log(876.34) = log(300) + 4t·log(1.015)
Solving for t in the usual way, we get
... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right
... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t
It will take <em>18 years</em> for the $300 CD to reach a value of $876.34.
Answer:
Step-by-step explanation:
Answer: 5%
Step-by-step explanation:
First and foremost, we need to know that 60 minutes = 1 hour. Therefore,
7 hours = 60 × 7 = 420 minutes.
Number of minutes awake = 21 minutes
Number of minutes supposed to be asleep = 7 hours = 420 minutes
The percentage of the seven hours that Frank was awake during the night will be:
= 21/420 × 100
= 1/20 × 100.
= 5%
Answer:
h=4
Step-by-step explanation:
a^2 = h^2 + 4
b^2 = h^2 + 64
(2 + 8 )^2 = a^2 + b^2
100 = h^2 + 4 + h^2 + 64
100-68 = 2h^2
32 = h^2
h = 4
