The 21% of taxes and annual percentage decrease of 0.32, using arithmetic progression gives;
- The year corporations will pay zero taxes as 2025
<h3>How can arithmetic progression be used to find the required year?</h3>
The percentage of tax that comes from corporate income tax = 21%
Amount by which the percentage decreased each year = 0.32
Period during which the tax reduced = Between 1960 and 2010
Required;
The year corporations pay zero taxes.
Solution;
The amount of tax paid each year can be given by the arithmetic progression formula,
Where;
a = The first term = 21
d = The common difference = -0.32
When 
, we have;
0.32•(n - 1) = 21
n - 1 = 21/0.32 = 65.625
n = 65.625 - 1 = 64.625 ≈ 65
The year the corporations will pay no taxes is 1960 + 65 = 2025
Corporations will pay no taxes in the year 2025
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The new man's age would be 525, however the standard deviation would remain the same.
<h3>What is standard deviation?</h3>
The Standard Deviation measures how evenly distributed numbers are. It has the sign (a Greek letter sigma) and the calculation is simple: it's the variance as a square root.
The average national test score is 500, for a standard deviation = 100.
Each score has been boosted by 25 points.
Let y = x + 25
where x is the old mean & y is the new score
E(x) = 500 and standard deviation (x) = 100 (given)
E(y) = E(x + 25)
= E(x) + 25
= 500 + 25
= 525
Variable (y) = Variable (x + 25)
= Variable (x)
As, √variance y = √variance x
standard deviation(y) = standard deviation(x)
= 100
Therefore, the new standard deviation is same as the old one.
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-1 only (this is to to reach the character limit)
opposites are also called additive inverse and have the sum of zero.
