First term = a = 6
common difference = d = 11 - 6 = 5
nth term = a + (n - 1) * d
n74 = 6 + (74 - 1) * 5
= 6 + 73*5
= 6 + 365
= 371
Answer:
The Answer is: 25 two bedroom homes and 33 three bedroom homes.
Step-by-step explanation:
Let t = two bedroom homes and th = three bedroom homes.
The number of each time by the charges is equal to the total gross recepts:
67.95t + 82.25th = 4413.00
There were 8 more three bedroom than two bedroom:
th = t + 8
By substitution:
67.95t + 82.25(t + 8) = 4413
67.95t + 82.25t + 658 = 4413
150.20t = 4413 - 658
150.20t = 3755
t = 3755 / 150.20 = 25 two bedroom homes.
th = t + 8 = 25 + 8 = 33 three bedroom homes
Proof:
67.95(25) + 82.25(33) = 4413
1698.75 + 2714.25 = 4413
4413 = 4413
Answer:

Electrician's fee: $50.
Charges per hour: $35
Step-by-step explanation:
Let x represent number of hours and y represent amount charged.
We have been given that an electrician charges $120 after 2 hours of work and $190 after 4 hours of work.
We can represent this information with two points as (2,120) and (4,190).
First of all, we will find slope using these points.

Now, we will slope-intercept form of equation
to get our required equation as:

Substitute coordinates of point (2,120) to find the y-intercept.




Therefore, our required function would be
.
The electrician's fee would be $50 as it the initial amount or y-intercept.
The electrician charges $35 per hour as the slope of the line is 35.
Take it like this
27% of x = 162
27/100 * x = 162
x = 162*100/27
x=600
Therefore, 27% of 600 is 162