Search & Filtering
On his 40th birthday ofentse decides he will buy a bike trailer for his 50th birthday. he estimates that it will cost him 48 000 when he turns 50.he starts saving immediately each month paying an amount into an account earning 8.58% interest per year ,compounded monthly the monthly amount payment is
1.592,95
2.597,19
3. 252,18
4. 253,99
Fatu took out an endowment policy. the first annual payment was RX whereafter it increased yearly by 1700.after 20 years the policy paid out 1 005 962.the applicable yearly interest rate is 10% the value of x is approximately
1. 11 816
2. 17 564
3. 6 500
4. 564
1. JVM Company, a real estate company made a bid on two contracts. The owner identified the possible outcomes and subjectively assigned the following probabilities.
Lesedi buys a house and make a down payment of 16% of the price of the house. for the remaining amount,she manages to secure a loan at an interest rate of 12.05% per year,compounded monthly for a period of 20 years her monthly her payment is 18556.84
A..The size of the loan ( to the nearest Rand is)
1. 4 453 642
2. 1 680 000
3. 2 167317
4. 1 338320
B.. The down payment is
1. 213 411
2. 320 00
3. 346 771
4. 268 800
You are deciding between two portfolios; Portfolio A which is made up of stocks and treasury bills, and Portfolio B which comprises of risky bonds and treasury bills. The table below contains information on both portfolios that you collected.
Information
Portfolio A
Portfolio B
Mean returns
0,13
0,16
Standard Deviation
0,11
0,09
Expected Returns
0,15
0,12
Threshold level
0,07
0,07
a) What is the probability that the returns of Portfolio A lie between 15 and 25 percent?
b) If the probability that the returns of Portfolio B would be greater than X is 0.2676, what is the value of X?
c) Which portfolio is the optimal portfolio considering your threshold level?
d) For the optimal portfolio found in (c), what is the probability that the portfolio will earn a return below the threshold level?
Find the volume of the region bounded above by the plane z = y/2 and below by the rectangle.
R ∶ 0 ≤ x ≤ 4,0 ≤ y ≤ 2
Define permutation function and find out all permutation on the set S = {𝑎, 𝑏, 𝑐}
Define a characteristic function on a set 𝑆 on a universal set 𝑈 and prove that
𝑓𝐴∩𝐵(x) = 𝑓𝐴(x) . 𝑓𝐵(x)
Determine whether each of the function from 𝑍 to Z is onto
(a) 𝑓(𝑛) = 𝑛³
(b) 𝑓(𝑛) = 𝑛² − 1
Determine whether each of the function from 𝑍 to Z is one to one
(a) 𝑓(𝑛) = 𝑛 − 1
(b) 𝑓(𝑛) = 𝑛² + 1
#339914 on Dec 2023