The bacteria culture was seen to grow exponentially in 5 hours. Initially the count was 10 billion. The growth rate is said to be increasing by $2.5 \%$. What can be the count at the end of 5 hours ?

Question

$\begin{array}{1 1} (a)\; 14841000 \\ (b)\; 148410000 \\ (c)\; 1484100 \\ (d)\; 1484100000 \end{array}$