$$ Question$-5$:

Marks $15+5$

Luis wants to have $$2,000,000$ in net worth when he retires. To achieve this goal, he plans to invest $$10,000$ each year $($starting one year from now$)$ into an account that earns $10\%$ interest compounded annually. Calculate the amount of time before Luis can retire as a multi$-$millionaire is how many years? Draw the cash flow diagram?