# Chikis

Senior Members

156

1. ## Calculate the amount of tax

That is an error. I mean to write ₦2000 and not ₦20 000. Please pardon me for that error. It there in the problem. I copied the the original words in the post i and put the concerned section in bold. You can see it below. A man's income is N 180 000 per anum. He is allowed a tax-free income in the following: personal allowance N 72 000, child allowance N 4 500 for each child under 18 years for a maximum of 4 children, dependent relatives allowance to a maximum of N 18 000. Calculate the amount of tax the man will pay if has 5 children under 18 years and the taxable income is 10% for the first N 20 000, 15 % for over N 20 000 and up to N 40 000, 20% for over 40 000 and up to N 60 000, and 25% for over ₦60 000. Have you seen it?
2. ## Calculate the amount of tax

A man's income is N 180 000 per anum. He is allowed a tax-free income in the following: personal allowance N 72 000, child allowance N 4 500 for each child under 18 years for a maximum of 4 children, dependent relatives allowance to a maximum of N 18 000. Calculate the amount of tax the man will pay if has 5 children under 18 years and the taxable income is 10% for the first N 20 000, 15 % for over N 20 000 and up to N 40 000, 20% for over 40 000 and up to N 60 000, and 25% for over N 60 000. Here is my work: Man's income = N 180 000 Personal allowance =N 72 000 Child allowance (4 children maximum) = N 4 x N 4 500 = N 18 000 Dependent relatives allowances = N 18 000 Total tax free allowances: N 72 000 + N 18 000 + N 18 000 = N 108 000 Taxable income N 180 000 - N 108 000 = N 72 000 To calculate the tax on the taxable income: N 72 000 = N 20 000 + N 40 000 + N 12 000 Tax rate on the first N 20 000 is 10% = N 20 000 Tax rate over N 20 000 up to N 40 000 is 15% = N 6000 My problem now is what do I do with the remaining N 12 000 since it is less than N 40 000 and not even over N 65 000? Somebody help me please
3. ## Multiplying agebriac fraction by a minus sign

And I say give me the value of of a and n, in which it is not true.All I can say is that $\frac{-a+n}{a+n}$ and $-\left(\frac{a+n}{a+n}\right)$ are the same and diffrent in some cases. The first expression is factored to get the second expression. True or force? I will only say that the expression are the same and different.
4. ## Multiplying agebriac fraction by a minus sign

Okay, what about when $-\frac{a-n}{a+n}$is equal to $-\left(\frac{a+n}{a+n}\right)$. The fraction becomes -1. Am sure you agree to this one.Okay, coming to when a = 2 and n = 1, if we put the values in the expression, $-\left(\frac{a+n}{a+n}\right)$, we have $-\left(\frac{2+1}{2+1}\right)$ $=-\left(\frac{3}{3}\right)$. This gives -(1) = -1. What do you have to say about this one?
5. ## Factor theorem

No I can't. Could you explain why? Or should I take it that the rule is to use the factors of the constant term.
6. ## Factor theorem

When $x=2$ $\rightarrow$ $2(2)^3+(2)^2-13(2)+6$ $\rightarrow$ $16+4-26+6=0$ $\rightarrow$$26-26=0$ $\therefore$ $x-2$ is a factor of $2x^3+x^2-13x+6$ When $x=-3$ $2(-3)^3+(-3)^2-13(-3)+6$ $=2(-27)+9+39+6$ $=-54+48+6$ $=-54+54=0$ $\therefore$$x+3$ is a factor of $2x^3+x^2-13x+6$ But what is the easiest method for finding the values of x? Or would one be always doing trial and error method?
7. ## Can this be factored?

$\frac{3(x+y)(x-y)}{y^2-2xy-3x}$ Well the solution to the problem above is $\frac{(y-x)}{(x-\frac{y}{3})}$. The issue now is that I cannot give any justification to the solution. Any help here?
8. ## Multiplying agebriac fraction by a minus sign

We are just complicating issue by making this topic long. What I understand and see here is that when you have $\frac{a-n}{a+n}$ and you multiply the expression by $-1$, it becomes $\frac{-a+n}{a+n}$ The numerator and denominator cancels out to give $-1$ What are we still aguing here? How do you mean? Give a particular example.
9. ## Factor theorem

What does the r and f stand for? Or what does $f( r)$ stand for?
10. ## Multiplying agebriac fraction by a minus sign

Number 3 is not correct.
11. ## Factor theorem

What is 'r' and what is $f( r)$
12. ## Factor theorem

It says that $x-r$ is a factor of a polynomial $f( x)$ if $f( r)=0$
13. ## Factor theorem

I want to use the factor theorem to find the factors $2x^3+x^2-13x+6$ How do I do that?
14. ## Partial Fraction

$\frac{3}{x+1}+\frac{4}{x+5}$ $=\frac{3(x+5)+4(x+1)}{(x+1)(x+5)}$ $=\frac{3x+15+4x+4}{(x+1)(x+5)}$ $=\frac{7x+19}{(x+1)(x+5)}$ If the above is what you meant, I have done it and seen that it came out correctly. Thank you.
15. ## Can this be factored?

Oh! Sorry! I made a mistake there. I intended writing $\frac{3(x+y)(x-y)}{y^2-2x-3x}$ before I typed that trash. Now that the mistake has been corrected, can the denominator be factored out completely to see the terms that could cancel out?
16. ## Multiplying agebriac fraction by a minus sign

I don't know why you don't have to agree. When you have$-\left(\frac{a-n}{a+n}\right)$, remembes that the minus sign multiplies every term at the numerator to give back your $\frac{-a+n}{a+n}$ So what is the point here?
17. ## Partial Fraction

Multiplying back? How?
18. ## Multiplying agebriac fraction by a minus sign

This is the same as$-\left(\frac{a+n}{a+n}\right)$ Agreed?
19. ## Can this be factored?

Which minus sign are you talking about here?
20. ## Multiplying agebriac fraction by a minus sign

My reason is this I wanted to simplfy $\frac{a-n}{a+n}$ completely. Looking at the numerator and denominator, these are the same terms which would have cancelled out if not for the opposite signs. Knowing that $(-)(-)=+$, I decided to multiply the numerator by minus sign to make the simplification possible.
21. ## Can this be factored?

Just take look at this expression, am required to reduce it to its lowest term. $\frac{3(x^2-y^2)}{y^2-2xy-3x}$ Factoring the numerator, we get $\frac{3(x+y)(x+y)}{y^2-2xy-3x)}$, but doing a perfect factoring at the denominator to see how terms could cancel out becomes a major problem. So how does one go about this?
22. ## Multiplying agebriac fraction by a minus sign

If I multiply $\frac{a-n}{a+n}$ by minus sign, do I really get $-1$
23. ## Can this be factored?

So nothing can be done again?
24. ## Can this be factored?

Can $y^2-2xy-3x$ be factored? I tried to do it: $y^2-(2y-3)x$ $\rightarrow$$y(y-3)x-1(y-3)x$ and that finally gave me $(y-3)x(1+y)$ Is this correct?
25. ## Partial Fraction

Based on the examples I have seen so far, to find A we take that $x=-1$So $7x-1+19=A(-1+5)+B(-1+1)$ $\rightarrow$ $12=4A+0$ $\rightarrow$$A=3$ To find B, we take that $x=-5$ So $7x-5+19=A(-5+5)+B(-5+1)$ $\rightarrow$ $-35+19=0-4B$ $\rightarrow$ $-16=-4B$ $\rightarrow$ $B=+4$ Thus, $\frac{7x+19}{(x+1)(x+5)}=\frac{3}{(x+1}+\frac{4}{(x+5)}$ Is my work correct?
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