QUESTION $2$: The time value of money

$2\mathrm{.}1.$ Estimate the future price of a dump truck. The current price is $R105000.$ What will the likely price be in $5$ years' time if the price is likely to increase at an annual rate of $12\%?$

$2\mathrm{.}2.$ Assume that you deposit R$5000$ today and R$8000,$ R$10000,$ is deposited respectively, two years, and four years from now. At a $9\%$ interest rate compounded annually.

$2\mathrm{.}2\mathrm{.}1.$ Illustrate with the aid of a fully labelled cash flow diagram the cash flow through year $6.$

$2\mathrm{.}2\mathrm{.}2.$ Determine the future value at the end of year $6.$

$2\mathrm{.}3.$ If an interest rate of $6\mathrm{.}5\%$ per year is applied, how long will it take your investment of R$25,000$ to grow to R$38849\mathrm{.}66?$