Interest $=i{B}_i$

where $i=$ the interest rate expressed as a fraction per month and $B_j$ the initial balance at the beginning of the month.

Problem $01\mathrm{.}003.$c $-$ Numerical estimate of bank balance using Euler's method

Use Euler's method with a time step of $0\mathrm{.}5$ month to simulate the balance. Assume that the money deposits and withdrawals are applied uniformly over the month. $($Round the final answers to two decimal places. Include a minus sign if necessary.$)$

The values are tabulated below: