Answer:
The required equation is
.
Step-by-step explanation:
Consider the provided information.
The Initial value of poster = $ 18
After 1 year amount of increase = $ 20.70
With the rate of 15% = 0.15
Let future value is y and the number of years be x.

Now verify this by substituting x=1 in above equation.

Which is true.
Hence, the required equation is
.
Answer:
The inequality is 

Step-by-step explanation:
Let
x -----> amount of water that can be used by only one family member for the rest of the month
we know that

Solve for x
Subtract 4,885.78 both sides


Divide by 6 both sides


Answer:
The expression used to represent g(x) as inverse of f(x) is 
Option B is correct.
Step-by-step explanation:
We are given:

We need to find the expression that could be used to verify g(x) is the inverse of f(x).
We know that
is inverse of function
So placing value of f(x) in g(x)

So, the expression used to represent g(x) as inverse of f(x) is 
Option B is correct.
We can also solve to prove that 

From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360.
measure of angle ACB = (24/60)(360)
measure of angle ACB = 144°
Thus, the angle measure 144°.
Answer:
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
Step-by-step explanation:
we know that
If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor
An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.
In this problem ΔABC and ΔA′B′C′ are similar
therefore
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar