1. The problem states that an influencer has 800,000 followers and is losing followers at a rate of 28% each month.
2. Since the followers are decreasing, this is an exponential decay problem.
3. The general formula for exponential decay is:
$$f(t) = f_0 \times (1 - r)^t$$
where $f_0$ is the initial amount, $r$ is the decay rate, and $t$ is time in months.
4. Here, $f_0 = 800000$ and $r = 0.28$ (28%). So the decay factor is:
$$1 - 0.28 = 0.72$$
5. The function representing the situation is:
$$f(t) = 800000 \times 0.72^t$$
6. To find the number of followers after 6 months, substitute $t=6$:
$$f(6) = 800000 \times 0.72^6$$
7. Calculate $0.72^6$:
$$0.72^6 = 0.139314069504$$
8. Multiply by 800000:
$$f(6) = 800000 \times 0.139314069504 = 111451.2556$$
9. Rounded to the nearest whole number, the influencer will have approximately 111452 followers after 6 months.
Final answer: 111452 followers after 6 months.
Exponential Decay D898E1
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.