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?

Open Air_Traffic data. SETUP: It is believed that in July, as years go by we see higher and higher traffic. Given the data your job is to confirm or disprove this assertion.

4. What test/procedure did you perform? (4 points)

• a. Regression
• b. Two sided t-test
• c. One sided t-test
• d. Confidence Interval

5. What is the statistical interpretation? (4 points)

• a. Average of data is inconsistent with the claim
• b. P-value is too large to have a conclusive answer
• c. P-value is smaller than 5% thus we are confident to say that the slope is not zero.
• d. P-value is smaller than 5% thus we are confident that the averages are different.
• e. None of these

6. What is the conclusion? (4 points)

• a. We cannot claim that in July, as years go by we see higher and higher traffic.
• b. We can claim that in July, as years go by we see higher and higher traffic.
• c. None of these

CircuitTown commenced a gift card program in January 2018 and sold $13,900 of gift cards in January, $18,700 in February, and $20,450 in March of 2018 before discontinuing further gift card sales. During 2018, gift card redemptions were $8,500 for the January gift cards sold, $5,100 for the February cards, and $6,050 for the March cards. CircuitTown considers gift cards to be “broken” (not redeemable) 10 months after sale.

Required:
1. How much revenue will CircuitTown recognize with respect to January gift card sales during 2018?
2. Prepare journal entries to record the sale of January gift cards, redemption of gift cards (ignore sales tax), and breakage (expiration) of gift cards.
3. How much revenue will CircuitTown recognize with respect to March gift card sales during 2018?
4. What liability for deferred revenue associated with gift card sales would CircuitTown show as of December 31, 2018?

The Mojito Computer Store had the following transactions in May 2018.

Required (5 points):

For each transaction, indicate in the space provided how much, if any, revenue or

expense should be recorded in May 2018.

a. Sold a computer to a customer in the amount of $2,100. Delivered the

computer in May. Customer paid in June 2018.

Amount of revenue to be recorded in May______________

b. Collected $1,200 in May from a customer for a computer to be delivered in

June.

Amount of revenue to be recorded in May ______________

c. Paid $400 in sales commissions to sales persons related to sales that were

made in April 2018.

Amount of expense to be recorded in May ______________

d. Paid $2,400 in May for a 6-month insurance policy to cover the period from

May 1, 2018 - October 31, 2018.

Amount of expense to be recorded in May ______________

e. Received an electric bill for May in the amount of $230. The bill is not due

for payment until June 15.

Amount of expense to be recorded in May ______________