You invest $100 000 for 3 years at a continuously compounded rate of 3%. At the end of 3 years, you redeem the investment. Taxes of 22% are applied at the time of redemption. What is your approximate after-tax profit from the investment, rounded to $10?
What is the sum of the first 20 terms of this sequence: 3, 5, 9, 17, 33, 65,…?
Concerning a standard normal distribution and a Student's t distribution (with more than four degrees of freedom), which of the following is true?
What is the indefinite integral of the function f(x) = ln(x), where ln(x) denotes the natural logarithmic function?
Which of the following statements are true about Maximum Likelihood Estimation?
(i) MLE can be applied even if the error terms are not i.i.d. normal.
(ii) MLE involves integrating a likelihood function or a log-likelihood function.
(iii) MLE yields parameter estimates that are consistent.
For each of the following functions, indicate whether its graph is concave or convex:
Y = 7x2 + 3x + 9
Y = 6 ln(3x)
Y = exp(-4x)
If a random variable X has a normal distribution with mean zero and variance 4, approximately what proportion of realizations of X should lie between -4 and +4?
Which of the provided answers solves this system of equations?
2y – 3x = 3y +x
y2 + x2 = 68
TESTED 23 Feb 2025
