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Alisiya [41]
3 years ago
7

Customers of a phone company can choose between two service plans for long distance calls. The first plan has no monthly fee but

charges for each minute of calls. The second plan has a monthly fee and charges an additional for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Mathematics
1 answer:
hram777 [196]3 years ago
5 0

Answer:

\\x= P/(c -d)[/tex],

Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge  of additional $d for every minute.

Step-by-step explanation

Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge  of additional $d for every minute.

Thus, the monthly cost of a customer who consumes x minutes in each plan is:

For the first plan: cx

and for the second plan: P + dx

Considering that the monthly costs must be the same in each plan, you have to:

cx = P + dx\\ transposing terms\\cx - dx = P\\   applying common factor\\(c -d)x = P\\ dividing by [tex]c - d

\\x= P/(c -d)[/tex].

For example if c = $2; d = $1 y P = $10, Then the number of minutes would be, x=10  and the total cost for each plan would be $20

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Answer:

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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
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Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

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------------

Check:

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The tax amount ($22.27) is added to the pre-GST price to get

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The answer is confirmed.

Or another way to confirm the answer is to calculate this

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