Question $2$

a$)$ Fund A accumulates at $6\%$ effective and Fund B accumulate at $8\%$ effective. At

the end of $20$ years the total of the two funds is RM$2000.$ At the end of $10$ years

the amount in Fund A is half that in Fund B$.$ Calculate the total of the two funds at

the end of $5$ years?

b$)$ Linda makes a deposits of RM$100$ into an account today and RM$30012$ years later.

For the first $12$ years interest is credited at a nominal rate of $6\%$ convertible

quarterly. For the next $8$ years the account earns at a force of interest of $.$ At the

end of $20$ years the accumulated amount is RM$802.$ Find $.$