Answer:
40,924.79
Explanation:
To calculate the approximate user base 13 months from now, we need to apply a 4.1% growth rate to the current user base of 25,220 for each month.
First, let's convert the growth rate to decimal form: 4.1% = 0.041.
To find the user base after one month, we can multiply the current user base by the growth rate:
User base after one month = 25,220 + (25,220 * 0.041)
User base after one month ≈ 25,220 + 1,034.02 ≈ 26,254.02
Next, we repeat this process for the subsequent months, compounding the growth each time. After two months:
User base after two months ≈ 26,254.02 + (26,254.02 * 0.041) ≈ 27,309.36
We continue this calculation for a total of 13 months:
User base after three months ≈ 27,309.36 + (27,309.36 * 0.041) ≈ 28,391.16
User base after four months ≈ 28,391.16 + (28,391.16 * 0.041) ≈ 29,500.57
User base after five months ≈ 29,500.57 + (29,500.57 * 0.041) ≈ 30,638.69
User base after six months ≈ 30,638.69 + (30,638.69 * 0.041) ≈ 31,806.89
User base after seven months ≈ 31,806.89 + (31,806.89 * 0.041) ≈ 33,006.55
User base after eight months ≈ 33,006.55 + (33,006.55 * 0.041) ≈ 34,238.09
User base after nine months ≈ 34,238.09 + (34,238.09 * 0.041) ≈ 35,502.95
User base after ten months ≈ 35,502.95 + (35,502.95 * 0.041) ≈ 36,802.57
User base after eleven months ≈ 36,802.57 + (36,802.57 * 0.041) ≈ 38,138.42
User base after twelve months ≈ 38,138.42 + (38,138.42 * 0.041) ≈ 39,511.98
User base after thirteen months ≈ 39,511.98 + (39,511.98 * 0.041) ≈ 40,924.79