todds goal is to find a job that provides an income of $50,000 a year. aiyanas furniture offers him a job…

todds goal is to find a job that provides an income of $50,000 a year. aiyanas furniture offers him a job paying a base salary of $23,000 a year, plus a commission of 5% of his sales. determine what todds total sales will need to be for him to have a yearly income of $50,000. if todd takes the job with aiyanas furniture, he will need to make $ in total sales in order to have a yearly income of $50,000 per year. round your answer to the nearest cent.
Answer
Explanation:
Step1: Set up an equation
Let $x$ be the total sales. The income equation is $23000 + 0.05x=50000$.
Step2: Isolate the variable term
Subtract 23000 from both sides: $0.05x = 50000 - 23000$. So, $0.05x=27000$.
Step3: Solve for $x$
Divide both sides by 0.05: $x=\frac{27000}{0.05}=540000$.
Answer:
$540000.00$