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.
2a−3=7
Add 3 to both sides.
2a−3+3=7+3
2a=10
Divide both sides by 2.
2a / 2 = 10 / 2
a=5
The volume of the cylinder is C, 753.6 mm³.
To find the volume of the cylinder, in cubic millimeters, we must first convert all of the measurements into millimeters. The only measurement that isn't in millimeters is height, and 1.5 centimeters is equal to 15 millimeters.
Now, we need to find the volume. The volume can be found by doing πr²h. Now we can substitute values and solve.
V = πr²h
V = 3.14(4)²(15)
Simplifying this, we get that V = 753.6, meaning that our answer is C, 753.6 mm³.
There are 365 days in a year, 365 multiplied by 4 cups a day... the answer is 1,460 cups went down the drain in a year.
Here, hope this helps :)
(5 x 12) ÷ 2 = 30 (area of triangle)
40 x 12 = 480 (area of rectangle)
12 ÷ 2 = 6 (radius of semicircle)
3.14 x 6^2 = 3.14 x 36 = 113.04
113.04 ÷ 2 = 56.52 (area of semicircle)
30 + 480 + 56.52 = 566.52 square feet
