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zhuklara [117]
3 years ago
11

You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan c

harges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0

Answer:

357 minutes

Step-by-step explanation:

I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges.  I then divided the monthly cost of $49.95 by .14 to get 356.79...  So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357).  At 356 minutes the first plan would still be cheaper.

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3 years ago
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What are all values of x for which the series n 3^n/x^n converges
Eva8 [605]

The interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.

<h3>What is convergent of a series?</h3>

A series is convergent  if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We can find the interval for the convergent by root test.

Like the Ratio Test, the root Test is used to determine absolute convergence (or not) with factorials, the ratio test is useful.

For the given series:

\sum^{\infty}_{n=0}\dfrac{3^n}{x^n}

As the series goes infinitely, we can use root test.

By the root test, the convergence interval will be;

The interval of convergence is:

x < -3 or x > 3   we can write this as:

|x| < 3

Thus, the interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.

Learn more about the convergent of a series here:

brainly.com/question/15415793

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6 0
2 years ago
I have 6 eggs, I broke 2 eggs, fried 2 eggs, and ate 2 eggs. How many eggs do I have left.
ohaa [14]

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It is actually a tricky question and the trick is that the person, who initially have 6 eggs, has broken two eggs out of them.

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It is a single incident but in question it appears that 3 different incidents took place in which the person have used all 6.

So actually, he only ate 2 eggs out of 6.

4 0
3 years ago
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The question is not correct (particularly the expression for the area)

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hence the expression for the length is  l= \frac{A}{2h} -w

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A shoemaker makes 15,200$ and 912$ in commission (included in 15,200). What is the percent he made in commission to he whole amo
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