Use Euler's method to solve

$\frac{dB}{dt}=0\mathrm{.}06B$

with initial value $B=1000$ when $t=0.$

A$.t=1$ and $1$ step:

B$.t=0\mathrm{.}5$ and $2$ steps: $B$

C$.t=0\mathrm{.}25$ and $4$ steps:

D$.$ Suppose $B$ is the balance in a bank account earning interest. Be sure that you can explain why the result of your calculation in part $($a$)$ is equivalent to compounding the interest once a year instead of continuously. Then interpret the Result of yiur calculations of b and c in terms of compound interest