Answer:
The variance of the measure of productivity = 141.67(to 2 d.p)
Step-by-step explanation:
The complete question and the step-by step explanation are contained in the files attached to this solution.
Answer: You need to show the number line in order to get an answer.
Answer: Rs. 11,520
Step-by-step explanation:
As the method of compounding is not stated, the default of simple interest will be used.
Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.
Formula is:
Amount owed = Amount borrowed * ( 1 + rate * time)
= 8,000 * ( 1 + 8% * 5.5 years)
= 8,000 * 1.44
= rs 11,520
Answer:
An equation in function notation for the total cost of the book club will be:
Step-by-step explanation:
Given that Genesis needs to pay $12.00 for entrance into the book club.
Per month fee = $20.00
We know that the slope-intercept form of a linear function is

where m is the slope and b is the y-intercept
As the rate of change is also called the slope.
The rate of $20.00 per month would be termed as the slope = m = 20
One time fee = $12.00, meaning the y-intercept = b = 12
Thus, the equation becomes

- y represents the total cost
- x represents the duration
- m represents the rate of change = m = 20
- b represents the y-intercept = b = 12
y = 20x + 12
Therefore, an equation in function notation for the total cost of the book club will be:
Answer:
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Step-by-step explanation:
Find the height of the tree
Let
h ----> the height of the tree
we know that
The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)
so
tan(50°)=h/50
h=(50)tan(50°)=59.6 ft
therefore
The height of the tree is Greater than 50 feet, so Iva’s house is not safe