Answer:
9 units²
Step-by-step explanation:
This is a trapezium.
The length of the two parallel lines (on top and bottom) are 5 units and 1 units.
The height of the trapezium is 3 units. Using these information, we can apply the formula for area of trapezium to find the answer.
Area = 1/2 (5 + 1) x 3 = 9 units²
Answer:
Only table C shows proportional relationship
Step by Step Explanation:
Given
Tables A, B an C
Required
Which table shows proportional relationship?
In table A .
x = 2 and y = 20
k = 20/2
k = 10
Also, x = 12, y = 132
k =. 132/12.
k = 11
Both values of k are not equal.
Hence, the table is not proportional
In table B
x = 5 and y = 20
k = 20/5
k = 4
Also, x = 7, y = 30
k =. 30/7
k = 4.29
Both values of k are not equal.
Hence, the table is not proportional
In table C
x = 9 and y = 90
k = 90/9
k = 10
Also, x = 14, y = 140
k =. 140/14
k = 10
Also, x = 24, y = 240
k =. 240/24
k = 10
All values of k are equal.
Hence, the table is proportional
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as

compute the differences of all the adjacent terms

The difference between all the adjacent terms is the same.
Thus,

and

Therefore, the nth term is computed by:


Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
9514 1404 393
Answer:
a) see the attached spreadsheet (table)
b) Calculate, for a 10-year horizon; Computate for a longer horizon.
c) Year 13; no
Step-by-step explanation:
a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.
__
b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.
The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.
__
c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.
If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bike rental company charges a fee per hour.
The charge, in dollars, is the same each hour.
The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.
Then the linear equation is given as

Then the rate of change of the function expressed as a unit rate will be

More about the linear system link is given below.
brainly.com/question/20379472
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