Answer:
3.9125 × 10⁵² people
Step-by-step explanation:
A rumor starts with 3 people and the number of people who heard it doubles each day.
How many people would have heard the rumor after 20 days?
To calculate exponential growth, we use the formula:
where;
a = value at the start =3
k = growth rate = 2×3 = 6
t = time = 20 days
y(t) = value of the population at the given time (t) =??
y(t) = 3.9125 × 10⁵² people
Answer:
5 months
Step-by-step explanation:
We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...
x^6 -25x^4 +199x^2 -4975 = 0
This can be factored in groups as ...
x^4(x^2 -25) + 199(x^2 -25) = 0
(x^4 +199)(x^2 -25) = 0
This has 4 complex solutions and 2 real solutions.
x^2 = 25
x = ±5
The duration required for capacity to reach 4975 units is 5 months.
