Answer:
Exponential decay function; -0.94%
Step-by-step explanation:
We are given an exponential function and we are supposed to find whether the given function increases or decreases and also the percentage of increase or decrease.
Th given function is f(x) = 2060
Here x denotes the number of years.
At the start the value was 2060. In the next year it was multiplied by 0.9906.
This means that the value becomes 0.9906 times after each year.
Hence the value decreases by 0.0094 times its original value.
Converting to percentage it becomes 0.94% decrease after each year.
Answer:
increase
Step-by-step explanation:
percentage increase = new value (5) - original value (4) /original value (4) x 100
5-4 = 1
1/4 = .25
.25 x 100 - 25%
percentage decrease = original value -new l value / original value x 100
c = 2 × 14.6 × π = 29.2 × 3.141592 = 91.7344864 ≈ 91.7
Correct anawer: B
Enlarging the radius of the ice cream cone will result in a volume that is larger by twice the amount of the scale on the radius. For instance, doubling the radius will make the volume 4 times larger.
Enlarging the height of the ice cream cone will result in a volume that is larger by the same amount as the scale on the height. For instance, doubling the height will make the volume 2 times larger.
Going from these answers, the price will change in the same manner as the volume changes. A doubled volume would be a doubled price; a volume 4 times as large will result in a price 4 times as much.
The volume of a cone is given by the formula
V=(1/3)πr²h
If we double the radius, we then have
V=(1/3)π(2r)²h = (1/3)π(4r²)h = 4(1/3)πr²h.
Doubling the height instead will give us:
V=(1/3)πr²(2h) = 2(1/3)πr²h