$3\mathrm{.}1$ MS Tessi deposits R$5,500$ in a fixed deposit account with KIBA City Bank for $8$ years at a rate of interest of $12\%$ p$.$a compounded quarterly. How much will Ms Tessi receive upon maturity?

$3\mathrm{.}2$ A father would like to give his daughter a cash gift of $R10,000$ on her twenty first birthday in exactly $3$ years' time $.$ How much must he deposit today in a fixed deposit account which pays $14\%$ p$.$a compounded monthly to reach his target.

$3\mathrm{.}3$ if an amount of $43,200$ is invested at $16\%$ p$.$a compounded quarterly, how long will it take to reach R$224,328\mathrm{.}27?$

$3\mathrm{.}4$ Peter decides to invest R$300$ per month for $5$ years at $12\%$ p$.$a compounded monthly to pay for his $12-$year$-$old son's tertiary education in $5$ years' time. What amount of money will be available at the end of $5$ years?

$3\mathrm{.}5$ Mr Ncube put down a deposit of R$5,000$ on a new car costing R$54,500.$ He is required to pay off the balance in equal monthly instalments over $5$ years Interest is charged at $18\%$ p$.$a compounded monthly. What are his regular monthly instalments which are paid at the end of each month?