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Ganezh [65]
4 years ago
9

A long-distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long-distance company h

as a monthly fee of $9.95 and charges a rate of $0.03 per minute. At how many minutes would the two companies have equal charges?
Mathematics
1 answer:
d1i1m1o1n [39]4 years ago
8 0

Answer:

100 minutes

Step-by-step explanation:

Let the number of minutes required for the two Billings to be equal be x.

Now we write this in an equation form.

7.95 + 0.05x = 9.95 + 0.03x

0.05x - 0.03x = 9.95 - 7.95

0.02x = 2

x = 2/0.02 = 100 minutes

At the 100th minute, the amount of Billings would be equal

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Answer:

The expression that represents the given sequence is 5+6(n-1). Option C (not labeled).

Explanation:

<u>Arithmetic Sequences</u>

In an arithmetic sequence, each term can be obtained by adding or subtracting a fixed number to the previous term. That fixed number is called the common difference.

We are given the following sequence:

5, 11, 17, 23, 29, ...

Each term is located in a position starting from n=1. Let's test each option:

A For n=1 we should have the first term (5). Substituting n=1 into the general equation: 5+6(n+1) = 5+6(1+1) = 5+12 = 17. Since the resulting term is not 5, this option is incorrect.

B For n=1, 6+5(n+1)= 6+5(2)=16. This option is incorrect.

C (not labeled) For n=1, 5+6(n-1)=5+6(1-1)=5+0=5. The first term is correct. Let's test for the second term (n=2):

5+6(2-1)=5+6=11. Correct. For n=3

5+6(3-1)=5+12=17. Correct.

We can see the terms are increasing by 6, and the given sequence is also increasing by 6. Thus, This option is correct.

D For n=1, 6+5 (n-1)=6+0=6. This option is incorrect.

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