Subjects algebra

Exponential Decay D898E1

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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.