Answer:
$45.15
Step-by-step explanation:
When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.
Now, we have to use this formula for these types of questions:
x + x(y)= the price with tax (or markup)
So, we can substitute the variables.
42+42(0.075)=the retail price
42(0.075)=3.15
42+3.15=45.15
So, the retail price will be $45.15
To find the answers, substitute the variables (letters) in the equation for the number on that line that corresponds to that letter, then solve with the equation.
Answer:

Step-by-step explanation:
Given f(x)=
We have to find 
In order to find
we have to make x as the subject of the formula
Let us assume f(x)=y
⇒
Subtracting both sides by 5


Dividing both sides by 2

⇒
Now substituting y with x
we have 
Now 
=
So option (ii) is correct
The length of the hypotenuse equals to the square root of the sum of the square of the other two sides.
12x12+16x16=144+256=400
The square root of 400 is 20.
By the same way, you can find the length of the hypotenuse of the reduced triangle
9x9+12x12=81+144=225
The square root of 225 is 15
The length of the hypotenuse is 15
The perimeter =12+9+15
The perimeter=36
Answer: The sampling frame is 400 and the sample 250.
Step-by-step explanation:
The sampling frame is a list of elements used to determine the samples. The sampling frame contains 400 senior citizens of which 250 samples were interviewed.