QUESTION $1(25$ marks$)1\mathrm{.}1$ Sipho is considering an investment that promises to pay him R$15,000$ in $5$ years. If the annual interest rate is $6\%,$ what is the present value of his investment? $(4$ marks$)1\mathrm{.}2$ Mary deposited R$10,000$ into a savings account that pays an annual interest rate of $8\%$ compounded annually. How much will Mary have in the account after $3$ years? $(4$ marks$)1\mathrm{.}3$ Deepak is offered an investment that will double his money in $9$ years. What is the implied interest rate? $(4$ marks$)1\mathrm{.}4$ Janse wants to invest R$25,000$ in a bond that promises to quadruple her money. If the bond pays an annual interest rate of $12\%,$ how long will it take for Janse$$s investment to quadruple? $(4$ marks$)1\mathrm{.}5$ Mpho plans to invest R$30,000$ today in an account that pays $9\%$ interest compounded annually. How much will her investment be worth in $10$ years? $(4$ marks$)1\mathrm{.}6$ You are considering an investment that will pay you an annual payment of R$12,000$ for the next $5$ years. If the discount rate is $8\%,$ what is the present value of this annuity? $(5$ marks$)$