Respuesta :
Answer:
480 million dollars
Step-by-step explanation:
Given :
A state gets its money from a state lottery, a property tax, a sales tax of 5%, and an excise tax.
This year it projects that it will receive $28 million from the state lottery $36 million from the property tax, and $12 million from the excise tax.
To Find: If the state needs $100 million to cover its expenses, how many dollars worth of taxable items must be purchased in the state this year for the state to break even
Solution:
Let the total expenses be x
State lottery = $28 million
Property tax=$36 million
Excise tax=$12 million
Sales tax = 5% of x = 0.05x million
So, total expenses = (28+36+12+0.05x) million
Now we are given that the state needs $100 million to cover its expenses
So, equation becomes: [tex]100=28+36+12+0.05x[/tex]
[tex]100=76+0.05x[/tex]
[tex]24=0.05x[/tex]
[tex]\frac{24}{0.05}=x[/tex]
[tex]480=x[/tex]
Thus 480 million dollars worth of taxable items must be purchased in the state this year for the state to break even