One cellular phone carrier charges $26.50 a month and $0.25 a minute for local calls. another carrier charges $14.50 a month and $0.25 a minute for local calls. for how many minutes is the cost of the plans the same?

The cost of plans is same for 120 minutes.

Step-by-step explanation:

Given:

One cellular phone charge = $26.50 a month and $0.15 per minute.

Another cellular charges = $14.50 a month and $0.25 per minute.

Let the number of minutes at which both plans are same be = minutes

For minutes the plan charges are as following:

1)

2)

So, we equate the above expressions as the plans are same.

Multiplying both sides by 100.

Subtracting both sides by 1450.

Subtracting both sides by

Dividing both sides by 10.

∴

The cost of plans is same for 120 minutes.

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step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.