The HDI for Burkina Faso is $0.388$. Annually, its average HDI increases by $2.6090\%$. If this continues what will the HDI be by $2025$ and again by year $2050$?
Asked
Active
Viewed 22 times
0
-
1Instead of thinking how much is added to the HDI, what can you multiply 0.388 by to get next year's HDI? – turkeyhundt Dec 10 '14 at 22:28
1 Answers
1
If this year's HDI is $x$, next year it will be $$x + \frac{2.6090}{100}x = \left(1 + \frac{2.6090}{100}\right)x = 1.026090x$$
If you repeat the above reasoning (for example, call the result $y$ and calculate again), you will obtain that, after $n$ years, the HDI will be $$1.026090^nx$$
Therefore, by $2025$ it will be $$1.026090^{2025-2014}\cdot0.388 \approx 0.5150765$$
You can repeat the calculation with $2050$.
rubik
- 9,344