Answer:
32.1
Step-by-step explanation:
0.53x=17
x=32.1
The graph of G(x) is the graph of F(x) shifted 8 units to the right.
This question might look tough, but if we break it down, it's super easy! I'll walk you through the steps.
Firstly, we need to figure out the total amount of money she deposited over the 10 months. To figure this out, all we have to do is multiply the $76.50 per month by the 10 months.
76.50 * 10 = 765
There we have it. She deposited a total of $765 over the course of the 10 months. On to the next step.
Second, we need to figure out the total amount of money she spent over the 10 months paying for singing lessons. To do that, all we have to do is multiply the $30.50 it took for each month by the 10 months.
30.50 * 10 = 305
There it is! She spent a total of $305 on singing lessons over the 10 months. On to the next step.
Now, we must subtract the cost of the singing lessons over 10 the months by the amount she deposited over the 10 months. Since she deposited a total of $765 and she spent $305 on singing lessons, here's the equation we're doing.
765 - 305 = 305
There we go! She had a total of $305 left after the 10 months. I'll leave the last step to you, I know you can do it!
If you have trouble figuring it out, post on my profile or PM me and I'll help you. :)
- Sofie
Answer:
49
Step-by-step explanation:
The differences of the given ages from the new mean are ...
-2, -10, -8, -2, -2
The sum of these is -24. In order to make the total of differences from the mean be zero, the new person entering the room must be 24 years older than the new mean, so must be 25 +24 = 49.
The person who entered is 49 years old.
_____
<em>Comment on the solution method</em>
I find it easiest to work problems like this in the manner described above. It works on the idea that adding or subtracting the same value from every number changes the mean by that value. That is, if I subtract 25 from every person's age in the room, the mean of that set of differences will be 25 less than the mean, so will be 25 -25 = 0.
I know the mean of those differences will be zero if their sum is zero. I find it easier to add some small numbers, rather than deal with multiplying or dividing the sum of larger numbers.
Owen`s profit for 5 months:
$110 - $75 + $80 - $50 - $25 = $40
Owen`s average profit:
$40 : 5 = $8
Answer:
C ) His average profit was $8 per month.
