Respuesta :
Answer:
[tex]15[/tex] months
Step-by-step explanation:
Given that company [tex]A[/tex] charges [tex]\$75[/tex] upfront and [tex]\$20[/tex] per month and company B does not charge the upfront fee but charges [tex]\$35[/tex] per month.
Let after [tex]n[/tex] months both the company charges the same amount.
Total charges by the company [tex]A=\$ (75+n\times 20)[/tex] and total charges by the company [tex]B=\$ (n\times 35)[/tex].
Now, from the given condition both the charges are equal, so
[tex]75+n\times 20=n\times 35 \\\Rightarrow 75= 35 n - 20 n\\\Rightarrow 75= 15 n \\\Rightarrow n= \frac {75}{5} \\\Rightarrow n= 15[/tex]
Hence, after [tex]15[/tex] months both the company charges the same amount.
