A sum of Money is Given Out to Your Team in Week 1 based on the following rules: Mathematics Homework, NUS, Singapore

1) A sum of money is given out to your team in Week 1 based on the following rules:

• Base amount of $x

• Additional $ 100

• Additional $(1+ for each team member

a. Determine the amount of money that is given out to the team, in the form of Ear h), where a and b are real numbers.

b. The total amount of money given out to the team is $1200. Determine the value of x.

2) The total amount for the team is divided evenly between each team member. You placed your received amount antibi a piggy bank in Week 1. You decided to contribute additional amounts weekly into the piggy bank as well, beginning with $0 at the end of Week 1 and increasing the amount by S2 every week.

a. Determine the amount of money that you will put into the piggy bank at the end of Week 13.
b. Determine the total amount of money in the piggy bank at the end of Week 13.

3) After 13 weeks, you decided to deposit the money from the piggy bank into a savings account with an interest rate of 2% compounded annually. Assuming no withdrawal is being made, compute the total amount of money in the savings account at the end of 19 years.