Cameron pays $0.95 per song with his current music service. cameron's friend tells him of another service that has a $15 joining fee but charges $0.80 per song. at what number of songs does this new service become a less expensive option than cameron's current service?

For new service to be less expensive, Number of songs would be 101

Let number of songs = x

For his current service :

Cost = 0.95x - - - (1)

For the new service :

Joining fee + cost per song

Cost = 15 + 0.80x ---(2)

For new service to be less expensive :

Equate (1) and (2)

0.95x = 15 + 0.80x

0.95x - 0.80x = 15

0.15x = 15

x = 100 songs

For new service to be less expensive, the number of songs will be above 100.

Hence, the next whole number after 100 is 101 songs

Hence, answer is 101

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101 Songs

Step-by-step explanation:

At 100 songs, both service will equal the same amount:

NEW SERVICE- 15+0.8(100)= $95.00

OLD SERVICE- 0.95(100)= $95.00

After 1 more song the new service becomes less expensive:

NEW- 15+0.8(101)=$95.80

OLD- 0.95(101)=$95.95

step-by-step explanation:

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: