Suppose that your friend has a farm in $2020$ and wants to make an investment $150,000$ in $2025$ for all farm requirements.

a$)$ If you can earn $2\mathrm{.}5\%$ per year on your investments, how much does he need to invest today to achieve his goal? $(7$ marks$)$

b$)$ Between $2020$ and $2023$ how much would he have raised if the interest increased to $4\%.(7$ marks$)$

c$)$ From question A calculate the future value for year one and year two.

$(6$ marks$)$