<h2>Answer</h2>
f(x) = 5(1.25)x + 4
<h2>Explanation</h2>
To solve this, we are going to use the standard exponential equation:
where
is the initial amount
is the growth rate in decimal form
is the time (in months for our case)
Since the hours of classic music remain constant, we just need to add them at the end. We know form our problem that Sue initially has 5 hours of pop, so ; we also know that every month onward, the hours of pop music in her collection is 25% more than what she had the previous month, so . Now let's replace the values in our function:
Now we can add the hours of classical music to complete our function:
Answer:
<u>114 laps</u>
Step-by-step explanation:
Multiply 200 x 57% :
- 200 x 57%
- 200 x 57/100
- 2 x 57
- <u>114 laps</u>
Answer:
Radius is distance from center to edge, and diameter is distance from edge to edge through the center. So for a: 5mm is radius, 10mm is diameter.
B: 6cm is radius, 12cm is diameter.
Step-by-step explanation:
The correct answers are:
(1) If EXACT number is required, then 7.5.
(2) If multiple of 8 is required then the answer will be 7 times with a remainder of 4.
Explanation:
First you need to express it in the form of equation to make things simpler as follows:
8 * y = 60
We need to find y; to do so, divide 60 by 8:
y =
y = 7.5
Now if you want to find the whole number, then the answer will be 7 times, with 4 left over.
Answer:
V =πr^3
Step-by-step explanation:
The height of the pyramid is 3 times the radius of the cone. So we can express height of the pyramid as a function of radius of the cone.
Let's take radius of cone = r
So, the height of the pyramid = 3r
Area of the base of the cone = πr^2 = area of the pyramid.
If the base dimensions of the pyramid are l and b, then area of the pyramid, l x b = π r^2.
The volume of the pyramid = 1/3 x l x b x h
We know, l x b =π r^2 and h = 3r.
Thus, volume of pyramid is = 1/3 x π x r^2 x 3 r
= π r^3.
Thank you.