Answer:
Bacteria population In generation n
pₙ = 120 (3ⁿ⁻¹)
Explanation:
The pattern that the bacteria Population follws a geometric series' pattern with the first term equal to the population in the first generation, 120 bacteria, the population in the second generation is the second term and so on.
First term = a = population in the first generation = 120
Second term = a₂ = population in the second generation = 360
Third term = a₃ = population in the third generation = 1080
The general formula for any term of a geometric series is
aₙ = arⁿ⁻¹
a = first term
r = common ratio
But for a geometric series, common ratio is given as the next term divided by the very previous term.
r = (aₙ/aₙ₋₁)
For this question,
r = (360/120) = (1080/360) = 3
So, the right model for the profits for any given year n is
pₙ = 120 × 3ⁿ⁻¹
pₙ = 120 (3ⁿ⁻¹)
Hope this Helps!!!
I think the answer is A. subsistence agriculture.<span />
Hi there!
Your answer is D. Bolivia
Hope This Helps!
I found the picture. It is shown that the length of the base is named x and the height is 7 in.
So, now you can use the formula of the area of the triangle:
area = base * height / 2
=> 84 in^2 = x * 7 / 2
And you can solve for x:
x = 2 * 84 in^2 / 7 in = 24 in
Answer: 24 in
