Simplify the expression (x)^3(x^3y)^2
1 answer:
You might be interested in
Answer:
B) Six Months.
Step-by-step explanation:
We can write an equation to model each situtation.
Let <em>m</em> be the number of months and <em>c</em> be its total cost.
Uptown Cable charges $120 for the initial installation fee plus $25 per month. In other words, its total cost is:
Downtown Cable charges an initial $60 fee plus $35 per month. So:
To find after how many months will the two services remain the same, we can set the two equations equal to each other and solve for <em>m</em>. So:
Solve for <em>m: </em>
<em /><em />
<em />
The two cable companies will charge the same after six months of use.
Notes:
If the customer uses the service for less than six months, then Downtown Cable is better since its initial cost is lower.
If the customer uses the service for more than six months, then Uptown Cable is better since its rate per month is lower.