C++

[2] Write a program that prompts the user to enter a non-negative decimal number and a base in the range 2 <= base <= 16. Write a function multibaseOutput() that displays the number in the specified base. The program terminates when the user enters a number of 0 and a base 0.

Run:
Enter a non-negative decimal number and base (2 <= B <= 16) or 0 0 to terminate: 155 16
    155 base 16 is 9B
Enter a non-negative decimal number and base (2 <= B <= 16) or 0 0 to terminate: 3553 8
    3553 base 8 is 6741
Enter a non-negative decimal number and base (2 <= B <= 16) or 0 0 to terminate: 0 0

2. Non-Local Strings

For this question, a block is a sequence of 20 characters, where each character is one of the 26 lowercase letters a-z. For example, these are blocks:

iwpiybhunrplsovrowyt
rpulxfsqrixjhrtjmcrr
fxfpwdhwgxtdaqtmxmlf

1. How many different blocks are there?
2. A block is squarefree if no character appears two times consecutively. The first and third example above are squarefree, but the second example is not because of the two consecutive occurrences of r. How many squarefree blocks are there?
3. A block is non-local if the number of characters between any two occurrences of the same character is at least 2. The first example above is non-local. The second example is not, because there are two occurrences of r with no characters between them. The third example is not because there are two occurrences of m with only one character between them. How many non-local blocks are there?
4. A block is k-non-local if the number of characters between any two occurrences of the same character is at least k. Write a formula for the number of k-non-local blocks that is valid for any k∈{0,…,20}.

Sanity check: The formula you get for 2.4 gives the answer to 2.2 when k=1 and gives the answer to 2.3 when k=2.

The 2017 balance sheet of Kerber’s Tennis Shop, Inc., showed long-term debt of $2.7 million, and the 2018 balance sheet showed long-term debt of $2.9 million. The 2018 income statement showed an interest expense of $95,000.

What was the firm’s cash flow to creditors during 2018?

Cutter Enterprises purchased equipment for $60,000 on January 1, 2018. The equipment is expected to have a five-year life and a residual value of $3,600. Using the sum-of-the-years'-digits method, depreciation for 2018 and book value at December 31, 2018, would be: (Do not round depreciation rate per year)

On November 1, 2018, Company borrowed $30,000 from a bank sign a 12-month, 6% interest rate the first payment due on December 1, 2018. What should the company report on B/S, I/S and Statement of cashflow on Dec 31, 2018 and Dec 31, 2019?

Tom and Betsy, who are married filing jointly, reported a standard deduction of $24,000 on their 2018 tax return. They paid $500 to the state for income taxes in 2018. In 2019, they received a $125 refund of state taxes paid in 2018. What is the amount that Tom and Betsy need to report on their 2019 tax return?

In 2018, Grace
- bought a used car for her personal use for RM50,000;

- and spent RM8,000 on new car parts made in Malaysia.

For each of the two transactions above, explain how the components of GDP and the total GDP in 2018 are affected. What is the combined effect of these two transactions on Malaysian GDP in 2018?

1. The life spans of a species of fruit flies have a bell shaped distribution with a mean of 33 days and a standard deviation of 4 days.

1. The life spans of three randomly selected tires are 34, 30, and 42 days. Find the z-score for these life-spans and specify if any of the life spans are unusual.
2. The life spans of three fruit flies are 29, 41, and 25 days. Use the empirical rule to determine the percentile rank of each life span.
3. If a sample of 40 fruit flies is studied, how many fruit flies would have a life span between 25 and 41 days according to Chebychev’s theorem.

Barber and Odean, in their 2002 Journal of Finance paper entitled “Trading Is Hazardous to Your Wealth: The Common Stock Investment Performance of Individual Investors” state that:

“Our most dramatic empirical evidence supports the view that overconfidence leads to excessive trading. On one hand, there is very little difference in the gross performance of households that trade frequently (with monthly turnover in excess of 8.8 percent) and those that trade infrequently. In contrast, households that trade frequently earn a net annualized geometric mean return of 11.4 percent, and those that trade infrequently earn 18.5 percent.” Attempt to explain these findings using the behavioural finance theory.