Tammy earns $40,000 gross annual salary. in tammy's jurisdiction there is a progressive tax system with rules as follows:

any amounts earned up to $x are free from income tax.
any amounts earned beyond $x are taxed at 25%.
given that tammy pays $5,400 per annum in income tax, calculate x. you can assume that x< 40,000. give your answer in dollars to the nearest dollar.

$18,400

Step-by-step explanation:

We need to find what amount's 25% is 5400??

Let this amount be a, so we can say:

a*0.25 = 5400

a = 5400/0.25

a = 21,600

Now

40,000 - 21,600 = 18,400

Thus for the first 18,400 --- the tax is 0

For next 21,600 tax is 25% which is 5400 tax

So amount $18,400 is tax free. x is equal to 18400

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the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!