value of a machine depreciates by 20% every year. if present value is 160000 find its value last year.
1 answer:
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Answer:
Maximum : 51
Minimum: 12
Median: 38
Lower quartile: 19
Upper quartile: 46
Step-by-step explanation:
To answer this question, we first order the data from largest to smallest:
46, 19, 38, 27, 12, 38, 51
12, 19, 27, 38, 38, 46, 51
It can be seen that the maximum value is:
51
The minimum value is
12
Let's call N the amount of data.
To calculate the quartiles we use the following formula:
So:
Where is the data number 2.
Q1 = 19
As the number of data is imapar, then, the median is the central data:
12, 19, 27, {38}, 38, 46, 51
Median = 38
Finally:
Where represents the data number 6
Using it's formula, the average rates of change are given as follows:
a) 30 meters per second.
b) -10 meters per second.
<h3>What is the average rate of change of a function?</h3>The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:
For item a, taking the data from the table, we have that:
- f(0) = 0.
- f(4.6) = 138.
Hence the rate is given as follows:
r = (138 - 0)/(4.6 - 0) = 30 meters per second.
For item b, taking the data from the table, we have that:
- f(9.2) = 23.
- f(11.5) = 0.
Hence the rate is given as follows:
r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
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