1.)
Between year 0 and year 1, we went from $50 to $55.
$55/$50 = 1.1
The price increased by 10% from year 0 to year 1.
Between year 2 and year 1, we went from $55 to $60.50.
$60.50/$55 = 1.1
The price also increased by 10% from year 1 to year 2. If we investigate this for each year, we will see that the price increases consistently by 10% every year.
The sequence can be written as an = 50·(1.1)ⁿ
2.) To determine the price in year 6, we can use the sequence formula we established already.
a6 = 50·(1.1)⁶ = $88.58
The price of the tickets in year 6 will be $88.58.
✓ –28 in simplest radical form is 27!!!
Here we go......
-2= 5x-1
+1 +1
-1/5=5x/5
- 1/5
Answer:
16 + sqrt(128)
Step-by-step explanation:
find the lengths of all 3 sides:
the side from (-9,8) to (-9,16) will be 16-8=8 (x stays constant)
The side from (-9,8) to (-17,8) is 8 (-9- (-17)=8)
The side from (-9,16) to (-17,8) will be found from the distance formula
d=sqrt((-17-9)^2 + (8-16)^2))
= sqrt(128)
So the perimeter will be these 3 numbers added together
P=sqrt(128) + 8 + 8
= 16 + sqrt(128)
which can simplify to:
= 16 + 4sqrt(8)
= 16 + 8sqrt(2) = 8+ sqrt(2)