The monthly revenue of the business grows by 8%, monthly
<h3>What is an exponential function?</h3>
An exponential function is any function that has its constant raised to the power of an argument.
An exponential function is represented as:
Where:
- a represents the initial value
- b = 1 + r; r represents the rate
From the table we have the following ordered pair
(x,y) = {(0,72000) (3,90000)}
So, we have:
Divide both sides by 72000
Take the cube roots of both sides
![b=\sqrt[3]{1.25}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B3%5D%7B1.25%7D)
Recall that:
So, we have:
Subtract 1 from both sides
Express as percentage
Hence, the monthly revenue of the business grows by 8%, monthly
Read more about exponential functions at:
brainly.com/question/11464095
V = Volume of cylinder
B = area of base
h = height of cylinder
It turns out that
V = B*h
In a similar way to that of a cube
If we know that V = 84pi and h = 7, then we can plug those values into the formula above, and solve for B
V = B*h
84pi = B*7
84pi/7 = B*7/7 ... divide both sides by 7
12pi = B
B = 12pi
Therefore the base is 12pi square units
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor (k). If k > 1, then it is a enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
Triangle DEF is a dilation of triangle ABC by a factor of 3/4. Hence the coordinates of triangle DEF is:
D(3/4, 9), E(3/4, 9/2), F(3/4, 27/4)
4926.25965251
I used a calculator because it makes solving this much easier
