Respuesta :
Answer:
12
Step-by-step explanation:
You want the costs to be the same so set them equal.
180+10t=25t
Subtract 10t on both sides:
180. =15t
Divide both sides by 15:
180/15. =t
12. =t
So t=12 would give us the costs being the same.
Answer:
After 12 months, the service contracts will cost the same.
Step-by-step explanation:
The given functions are
[tex]C(t)=180+10t\\C(t)=25t[/tex]
To answer the question, we just need to solve this system. We are gonna replace the second function into the first one,
[tex]C(t)=C(t)\\180+10t=25t\\15t=180\\t=\frac{180}{15}=12[/tex]
Therefore, after 12 months, the service contracts will cost the same.
