Seb's salary is $x per annum. the tax system is such that seb pays a 15% flat rate of income tax on his salary. the tax system is due for reform, and politicians have suggested the following:
1. any income under $12,000 should be tax free.
2. anything above $12,000 should be taxed at 25%.
given that seb will be paying $1,500 more under the new system, calculate how much tax seb pays under the current system. you can assume that x> $12,000.

4500

Step-by-step explanation:

To find X, we use the fact that the amount of tax under the old system, increased by $1,500 will give the amount of tax payable under the new system, so we can form an equation for X as follows:

15%×X+1,500=25%×(X−12,000),

i.e.

0.15X+1,500=0.25×(X−12,000),

giving

0.15X+1,500=0.25X−3,000,

Getting X on one side gives

4,500=0.1X,

and solving for X gives

45,000=X.

So, X=$45,000.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.