Answer:
m<6 must equal 86° if they are supplementary or linear pair. if it is vertical, it must be 94°.
Answer:
N1,052,800.
Step-by-step explanation:
The starting salary of the officer = N57,000
Increase per annum =N2,800
The given pattern forms an arithmetic sequence since the annual salary increases by a fixed amount.
We are to determine the total amount of money that the officer will earn in 14 years.
Sum of an arithmetic sequence, ![S_n=\frac{n}{2}[2a+(n-1)d]$ ,where: \left\{\begin{array}{lll}$First term, a=57,000\\$Common difference, d=2,800\\$Number of terms, n=14\end{array}\right](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%24%20%2Cwhere%3A%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Blll%7D%24First%20term%2C%20a%3D57%2C000%5C%5C%24Common%20difference%2C%20d%3D2%2C800%5C%5C%24Number%20of%20terms%2C%20n%3D14%5Cend%7Barray%7D%5Cright)
![S_{14}=\frac{14}{2}[2(57,000)+(14-1)(2,800)]\\=7[114,000+13*2800]\\=7[150,400]\\=1,052,800](https://tex.z-dn.net/?f=S_%7B14%7D%3D%5Cfrac%7B14%7D%7B2%7D%5B2%2857%2C000%29%2B%2814-1%29%282%2C800%29%5D%5C%5C%3D7%5B114%2C000%2B13%2A2800%5D%5C%5C%3D7%5B150%2C400%5D%5C%5C%3D1%2C052%2C800)
At the end of 14 years, the total amount earned by the officer will be N1,052,800.
Answer:
The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Step-by-step explanation:
As the domain of f(x) is the set of all real values except 7. So it can be written as follows:
Domain of f(x) = { x ∈ R | x ≠ 7}
As the domain of g(x) is the set of all real values except -3. So it can be written as follows:
Domain of g(x) = { x ∈ R | x ≠ -3}
It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.
So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Keywords: domain, composite function
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Answer: -68.97x+ 41.61y+11.4
Step-by-step explanation:
2.25 will be added into the account of the total of the money
