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The length of the bases of a trapezoid are 18 centimeters and 30 centimeters. Find the length of its median.
12 jobseekers applied for 3 available vacant positions in a company. In how many ways can the job be offered among these applicants if a particular applicant must be employed?
Abbey Fish Company will pay a R5.00 per share dividend next year. The company
pledges to increase its dividend by 3% per year indefinitely. If you require a 16%
return on your investment, how much will you pay for the company’s shares today.
A Telkom company bond carries an 8% coupon, paid semi-annually. The par
value is R1000, and the bond matures in six years. If the bond currently sells for
R911.37, what is its yield to maturity?
Suppose you have celebrated your 19th birthday. A rich uncle set up a trust fund
for you that will pay you R100 000 when you turn 25. If the relevant discount rate is
11 percent, how much is the fund worth today?
Assume the total cost of a tertiary education will be R75 000 when your child
enters university in 18 years. You presently have R7 000 to invest. What rate of
interest must you earn on your investment to cover the cost of your child’s tertiary
education?
2. Suppose that the average outstanding credit card balance for young professionals is
Php11,200 with standard deviation of Php 2,600. In simple random sample of 150 young
professionals, what is the probability that the mean outstanding credit card balance does
not exceeds Php12,300?
(HINT: Central Limit Theorem)
Use set builder notation to give a description of each of these sets. a) {0, 3, 6, 9, 12} b) {−3,−2,−1, 0, 1, 2, 3} c) {m, n, o, p}
Use Euler and modified Euler method with one step find the value of y at x=0.1 for given dy/dx=x^2 +y and y=0.94 when x=0
10. The length of time, in minutes, for an airplane to wait for clearance to take off at a certain
airport is a random variable Y = 3X − 2, where X has the density function
f(x) = {1/4^e−x/4, 0.
x > 0
elsewhere,
Find the mean and variance of the random variable Y.
