Answer:
Number of fish in 2006 = 845 fishes (Approx.)
Step-by-step explanation:
Given;
Number of fish in 2000 = 1,150 fishes
Decreasing rate = 5% per year
Find:
Number of fish in 2006
Computation:
Exponential decay function:
F = P[1-r]ⁿ
Number of year = 2006 - 2000
Number of year = 6 year
Number of fish in 2006 = 1,150[1-5%]⁶
Number of fish in 2006 = 1,150[1-0.05]⁶
Number of fish in 2006 = 1,150[0.95]⁶
Number of fish in 2006 = 1,150[0.735]
Number of fish in 2006 = 845.25
Number of fish in 2006 = 845 fishes (Approx.)
Answer:
Step-by-step explanation:
As per the question statement, a₁ is -6.25 and common ratio (r) is 1.25.
Therefore, the six terms of finite sequence would be as per the following equation
. Thus, the series would be
- a1 = -6.25
- a2 = -6.25*r = -6.25*(1.25) = -7.8125
- a3 = -6.25*r^2 = -6.25*(1.25)^2 = -9.765625
- a4 = -6.25*r^3 = -6.25*(1.25)^3 = -12.20703125
- a5 = -6.25*r^4 = -6.25*(1.25)^4 = -15.2587890625
- a6 = -6.25*r^5 = -6.25*(1.25)^5 = -19.073486328125
So the points on the graph will be on following points,
(1, -6.25), (2, -7.8125), (3, -9.765625), (4, -12.20703125), (5, -15.2587890625), (6, -19.073486328125).
The graph would look like as attached.
Answer:
$1679.175 or $1679.18
Step-by-step explanation:
split the carpet into rectangles to make it easier to look at
one rectangle is 2 yards in height and 9 yards in width (5 yards plus 4 yards)
area of a rectangle = (w)(h), so 9 x 2 = 18 yards in area.
second triangle is 4 yards in width, and 3 yards in height.
area of a rectangle = (w)(h), so 4 x 3 = 12 yards in area.
Total area = 30 yards
30(21.95)(2.55) = $1679.175 or $1679.18