Find the greatest common factor of numbers using prime factorization 32 and 90
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The first term of the arithmetic progression exists at 10 and the common difference is 2.
<h3>How to estimate the common difference of an arithmetic progression?</h3>
let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.
We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula
The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.
9th term = 50
a + 8d = 50 ...............(1)
12th term = 65
a + 11d = 65 ...............(2)
subtract them, (2) - (1), we get
3d = 15
d = 5
If a + 8d = 50 then substitute the value of d = 5, we get
a + 8 5 = 50
a + 40 = 50
a = 50 - 40
a = 10.
Therefore, the first term is 10 and the common difference is 2.
To learn more about common differences refer to:
#SPJ4
We have been given that Marcus works for 26 hours each week and 48 weeks each year.
Thus in a year he works for hours.
Now, we have been given that Marcus earns $8.40 per hour.
Therefore, in 1248 hours, he earns
Marcus has to pay tax if he earns more than $10,000. Now we have calculated that he earns $ 10483.2 which is higher than $10,000.
Therefore, Marcus has to to pat tax.