Mathematics: 2 different companies offer online subscriptions. Company A charges $75 upfront and $20 per month. Company B does not charge the upfront fee but charges $35 per month after how many months will the two companys charge the same amount

2 different companies offer online subscriptions.

DiegoMath

01.02.2022

months

Step-by-step explanation:

Given that company charges $\$75$ upfront and $\$20$ per month and company B does not charge the upfront fee but charges $\$35$ per month.

Let after months both the company charges the same amount.

Total charges by the company $A=\$ (75+n\times 20)$ and total charges by the company $B=\$ (n\times 35)$ .

Now, from the given condition both the charges are equal, so

$75+n\times 20=n\times 35 \\\Rightarrow 75= 35 n - 20 n\\\Rightarrow 75= 15 n \\\Rightarrow n= \frac {75}{5} \\\Rightarrow n= 15$

Hence, after months both the company charges the same amount.

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