<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
The central angle of a hexagon is 60°. Dividing it by two will give us 30°. The side opposite to 30° is 2 inches, multiplied by 2 is 4 inches. Thus, each side of the hexagon is 4 inches. Also, the apothem is 2sqrt(3). The area of the figure is calculated through the equation,
A = 0.5aP
where a is apothem and P is perimeter
Substituting,
A = 0.5(2sqrt3)(4 x 6) = 24sqrt3
The answer is approximately 41.57 in².
Given
There are four defenders on a soccer team
if this represents 20 percent of the players on the team
Find out the total number of players on the team.
To proof
As given in question
four defenders on a soccer team
this represents 20 percent of the players on the team
let the total number of players = x
First convert 20% in the decimal form

Than the equation becomes
0.20x =4

now solving the above equation
we get
x = 20
thus the total number of players on the team are 20.
Hence proved
90
55+65=120
there are 3 numbers and when you divide them it makes 70.
70 x 3 = 210
210 - 120 = 90
55 + 65 + 90 = 210
210 / 3 = 70
Answer:
6 days
Step-by-step explanation:
patient takes eight doses daily; each dose consists of 3/4 oz.
8 x 3/4 = 6 oz daily
therefore, 36 oz bottle would last 6 days