$.$ Al$-$IkhsanCollegeoffersstudentsachoiceofmorethan$30$differentmajorsofstudy,including business, engineering, hospitality management and information technology. College personnel of Al$-$Ikhsan work closely with students to help them find financial aid. Amazingly, about one$-$half of the students at Al$-$Ikhsan College receive some kind of financial aid. Abdul Rahman Aziz had $3$ years of experience when he went to work in Human Resources at Al$-$ Ikhsan College at a salary of RM$42,000.$ He began work on his $30$th birthday. The college matches his contributions to his retirement plan up to $8\%$ of his salary. Answer the following questions.

i$.$ Abdul Rahman decides to contribute a total of $10\%$ of his salary to his retirement plan. So$,$ American River contributes $8\%$ and he contributes a full $10\%$ of his salary. Find the total annual contribution to the retirement plan. $(2$ M a r k s $)$

$.$i Forplanningpurposes,AbdulRahmanassumeshewillworkatAl$-$IkhsanCollegeuntilhe is $60$ and believes he can earn $8\%$ per year in a global stock fund. Assume the contributions continue at the same level as in question $($i$)$ and estimate the future value.

$(2$ Marks$)$

ill. Assume that there are $422$ full$-$time faculty members at Al$-$Ikhsan College and that their average income is $$48,500$ per year. Find the annual payroll for the faculty. $(2$ Marks$)$

iv$.$ Based on the annual payroll in question $($ii$),$ estimate the annual contributions Al$-$Ikhsan College must make into retirement plans fi all faculty contribute at least $8\%$ of their salary

into their own plans. $(2$ Marks$)$

v$.$

Assume that awealthy donor has agreed to give Al$-$Ikhsan College RM$250,000$ per year for the next $5$ years. Find the present value oft h e s e gifts, assuming $6\%$ per year.

vi$.$

$(2$ Marks$)$

Al$-$Ikhsan College has decided to build a new classroom building and will need RM$8,250,000$ in $7$ years. They decide to make contributions into a sinking fund at the end of each $6-$month period. Find the payment needed fi funds earn $5\%$ per year.

$3$

$(2$ Marks