Question

A new app was download 175 times in the first week. Since then the number of downloads has increased continuously by 16. 5% each week. What is the approximate number of times the app was downloaded after 12 weeks?

Answer 1

We can solve this problem using the formula for exponential growth:

N = N0 * (1 + r)^t

where N is the final number of downloads, N0 is the initial number of downloads, r is the weekly growth rate as a decimal, and t is the number of weeks.

We know that N0 = 175, r = 0.165 (16.5% expressed as a decimal), and t = 12. Plugging these values into the formula, we get:

N = 175 * (1 + 0.165)^12

N ≈ 15,497

Therefore, the approximate number of times the app was downloaded after 12 weeks is 15,497.