Answer/Step-by-step explanation:
✔️Slope of the first graph:
Using two points on the line, (0, 1) and (3, 2),
Slope = ⅓
✔️Slope of the second graph:
Using two points on the line, (0, 0) and (1, 1),
Slope = 1
✔️Slope of the third graph:
Using two points on the line, (0, 1) and (2, 2),
Slope = ½
<h3>
Answer: 6</h3>
Work Shown:
E = exterior angle = 60 degrees
n = number of sides of the regular polygon
n = 360/E
n = 360/60
n = 6
The regular polygon has 6 sides.
Answer:
By the end of the first year Dara will have $903.125 in his account.
Step-by-step explanation:
Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:
M(t) = M(0)*(1 + r/n)^(n*t)
Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.
In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:
M(1) = 800*(1 + 0.125/2)^(2*1)
M(1) = 800*(1.0625)^(2)
M(1) = 800*(1.0625)^(2) =903.125
By the end of the first year Dara will have $903.125 in his account.
Scale factor for the 2 figures = cube root 135 : cube root 625 = 5.13 : 8.55
so ratio of the squares = 5.13^2 : 8.55^2 = 26.3 : 73.1
Therefore area of larger figure = (73.1/26.3) * 61 = 170 ft^2 to nearest ft^2.
