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Six years ago Olwethu lent Happy R150 000 on condition that he would pay her back in nine years time. The applicable interest rate is 15,5% per year, compounded monthly. Happy also owes Olwethu another amount of R250 000 that he has to pay back six years from now for a loan that earned interest at 16,4% per year, compounded semi-annually. Happy asks Olwethu if he an settle both his debts three years from now. The total amount that Happy will have to pay Olwethu three years from now is
The Smart Treasure Fund was created for Samson after he lost his leg in a battle with pirates. The fund has undertaken to pay him R1 200 000 now. Samson prefers to receive three payments: one three years from now; one twice the size of the first payment six years from now, and one four times the size of the first payment ten years from now. The amount of money to the nearest rand that Samson can expect to receive six years from now if the interest rate applicable is 8,6% per year, compounded quarterly, will be
Three years ago Lilly borrowed R10 000 from Faith on condition that she should pay her back two years from now. She also owes Faith R6 000 payable five years from now. The applicable interest rate for both transactions is 13,75% per year, compounded every six months. After considering her payback schedule, Lilly asks Faith if she can pay her R9 000 now and the rest in four years' time. She agrees on condition that the new agreement will run from now and that an interest rate of 16,28% per year, compounded monthly, will be applicable from now. The amount that Lilly will have to pay Faith four years from now is
An interest rate of 14,90% per year, compounded every 3 months, is equivalent to a weekly compounded interest rate of
Three years ago Lilly borrowed R10 000 from Faith on condition that she should pay her back two years from now. She also owes Faith R6 000 payable five years from now. The applicable interest rate for both transactions is 13,75% per year, compounded every six months. After considering her payback schedule, Lilly asks Faith if she can pay her R9 000 now and the rest in four years' time. She agrees on condition that the new agreement will run from now and that an interest rate of 16,28% per year, compounded monthly, will be applicable from now. The amount that Lilly will have to pay Faith four years from now is
3/x+3-2x-6/x^-9x
Find the general solutions of the following differential equations using D-operator methods:
(D + 4)2 x = sinh 4t
Solve for x in the following set of simultaneous differential equations by using D-operator methods:
(D + 2) x - 3y = 1
-3x + (D + ) y = e-t
Find the position vector when acceleration a(t)= 2i + j + 3k
Show that p > q and (p A q) V (-p ^ ¬q are logically equivalent.
