Question

1. maria has 10,346 subscribers on youtube. for each day she doesnt post a video, she loses 12% of her subscribers. how many subscribers will she have after a week of not posting any videos?

Explanation:

Step1: Define retention rate per day

Since she loses 12% daily, the remaining subscriber percentage is $100\% - 12\% = 88\% = 0.88$.

Step2: Set up decay formula

The number of subscribers after $t$ days is $N(t) = N_0 \times (0.88)^t$, where $N_0=10346$ and $t=7$ (1 week = 7 days).

Step3: Calculate daily decay over 7 days

First compute $(0.88)^7$:
$(0.88)^2 = 0.7744$
$(0.88)^4 = (0.7744)^2 \approx 0.5997$
$(0.88)^6 = 0.5997 \times 0.7744 \approx 0.4644$
$(0.88)^7 = 0.4644 \times 0.88 \approx 0.4087$

Step4: Compute final subscriber count

$N(7) = 10346 \times 0.4087 \approx 4228$

Answer:

Approximately 4228 subscribers