Wesley was paid a total salary of $4,560 this month, which included $230 bonus. he should pay a 18% income tax for his base salary. how much was wesley’s paycheck this month?

Wesley’s paycheck this month is $3,550.6.

Step-by-step explanation:

Total salary received this month  = $4,560

The bonus amount in the salary = $230

Now, Base Salary = Total Salary - Bonus amount

                              = $4,560  - $230  = $4,330

So, the base salary of Wesley is $4,330.

Now, 18% income tax on the base salary  $4330 is

18% of $4,330 =  

So, the sales tax amount  =  $779.4

So, the actual paycheck = Base salary - Tax amount

                                         = $4,330 - $779.4   =$3,550.6

Hence, Wesley’s paycheck this month is $3,550.6.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places