Solve the following problems: a) Calculate the future value of an investment... b) If 12 men working 8 hours a day can finish a job in 15 days, how many hours a day must 20 men work to finish the job

Principal amount, $P = 4000 \text{ F}$
Annual interest rate, $r = 6\% = 0.06$
Compounded quarterly, so $n = 4$
Time, $t = 5 \text{ years}$

The amount of money in the account after 5 years will be $\boxed{\text{5387.42 F}}$.

Question 1b:

Total man-hours = Number of men $\times$ Hours per day $\times$ Number of days

Let $H$ be the hours per day.

20 men must work $\boxed{\text{9 hours per day}}$.

Question 1c:

Tickets sold = 480,000
This represents 80% of all available tickets.

Let $T$ be the total number of available tickets.

The total number of tickets that were available for the tournament is $\boxed{\text{600,000}}$.

Question 2i:
To represent the information on a Venn diagram, we first calculate the number of people in each distinct region.
Total people = 50
Let P = Politics, A = Advertisement, S = Sports.

Given:
$|P| = 25$
$|A| = 16$
$|S| = 14$
$|P \cap A| = 5$
$|A \cap S| = 6$
$|P \cap S| = 4$
$|P \cap A \cap S| = 2$

• Only P and A: $|P \cap A| - |P \cap A \cap S| = 5 - 2 = 3$
• Only A and S: $|A \cap S| - |P \cap A \cap S| = 6 - 2 = 4$
• Only P and S: $|P \cap S| - |P \cap A \cap S| = 4 - 2 = 2$

• Only P: $|P| - (\text{Only P and A} + \text{Only P and S} + |P \cap A \cap S|) = 25 - (3 + 2 + 2) = 25 - 7 = 18$
• Only A: $|A| - (\text{Only P and A} + \text{Only A and S} + |P \cap A \cap S|) = 16 - (3 + 4 + 2) = 16 - 9 = 7$
• Only S: $|S| - (\text{Only P and S} + \text{Only A and S} + |P \cap A \cap S|) = 14 - (2 + 4 + 2) = 14 - 8 = 6$

Total people in at least one section = (Only P) + (Only A) + (Only S) + (Only P and A) + (Only A and S) + (Only P and S) + ($P \cap A \cap S$)

Number of people who read none = Total people - Total people in at least one section

The information for the Venn diagram is:

• Only Politics: $\boxed{\text{18}}$
• Only Advertisement: $\boxed{\text{7}}$
• Only Sports: $\boxed{\text{6}}$
• Only Politics and Advertisement: $\boxed{\text{3}}$
• Only Advertisement and Sports: $\boxed{\text{4}}$
• Only Politics and Sports: $\boxed{\text{2}}$
• Politics, Advertisement, and Sports: $\boxed{\text{2}}$
• None of the sections: $\boxed{\text{8}}$