Answer to Question #266692 in General Chemistry for Mikay

Question

Suppose you were given Php 1,000,000,000. How long would it take to have less than five pesos left if you spent half of it every day?

Answer 1

Assuming that he is spending half of what is left everyday

After first day reminder is $=\frac{1}{2}×10^9$

$n^{th}$ day the reminder will be $=(\frac{1}{2})^{n}×10^9<5$

$\frac{10^{9}}{5}<(\frac{1}{2})^{-n}$

Taking logs both sides

log$(2×10^{8})<-n\>log\>0.5$

$8.3010<0.3010n$

$27.58<n$

$\therefore$ Number of days $=28 days$