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Find the bitwise OR, bitwise AND, and bitwise XOR of each of these pairs of bit strings. a) 101 1110, 010 0001
b) 1111 0000, 1010 1010
pc) 00 0111 0001, 10 0100 1000
d) 11 1111 1111, 00 0000 0000
an interest rate of 14.90% per year compounded every 3 months is equivalent to a weekly compounded interest rate of
15.16 %
14.65%
14.88%
19.02%
Let p = “The Exams are decided” and q = “The Papers have been set”
Express each of these compound propositions as English sentences. And state
whether it is Contradiction, Tautology or Contingency.
a) ¬ p :
b) p ∨ q :
c) q → p :
d) p ↔ q :
e) ¬ p ∧ q :
f) ¬ p → ¬ q :
g) ¬ q → ¬ p :
h) ¬ q ∨ (¬ p ∧ q) :
To pay off a loan of R7 000 due now and a loan of R2 000 due in 14 months' time, Olorato agrees to make three payments in two, five and ten months' time respectively. The second payment is to be double the first and the third payment is to be triple the first. What is the size of the payment at month five if interest is calculated at 16% per year, compounded monthly?
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
A loan will be paid back by means of payments of R250 each, every six month for ten years. An interest rate of 5% per year, compounded every six months, will be applicable. The present value of the loan is
A nominal interest rate of 19,40% per year, compounded monthly, is equivalent to a continuous compounding rate of
If R35 000 accumulates to R48 320 at a continuous compounded rate of 8,6% per year, then the term under consideration is
Mapuleng deposits R1 500 at the end of every month into an account that earns 12,5% interest per year, compounded monthly. After two years, she stops making these monthly contributions because the interest rate changes to 15% per year, compounded every two months. If no withdrawals or deposits are made for four years the balance in the account will be
Sbusiso needs R150 000 on 17 November 2022 to upgrade his restaurant. On 8 January 2022 he deposited an amount into an account earning 13,45% interest per year, compounded monthly, and being credited on the 1st of every month. If fractional compounding is used for the full term, then the amount that Sbusiso deposited on 8 January 2022 was
