Mr. mudd gives each of his children $2000 to invest as part of a friendly family competition. the competition will last 10 years. the rules of the competition are simple. each child can split up his or her $2000 into as many separate investments as they . the children are encouraged to do their research on types of investments. the initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. whichever child has made the most money after 10 years will be awarded an additional $10,000.

the table below shows the investment made by each of mr. mudd’s children, and what happened to their investment over the decade long friendly competition.

albert
$1000 earned 1.2% annual interest compounded monthly
$500 lost 2% over the course of the 10 years
$500 grew compounded continuously at rate of 0.8% annually

marie
$1500 earned 1.4% annual interest compounded quarterly
$500 gained 4% over the course of 10 years

hans
$2000 grew compounded continuously at rate of 0.9% annually

max
$1000 decreased in value exponentially at a rate of 0.5% annually
$1000 earned 1.8% annual interest compounded biannually (twice a year)

1. what is the balance of albert’s $2000 after 10 years?


2. what is the balance of marie’s $2000 after 10 years?


3. what is the balance of hans’ $2000 after 10 years?


4. what is the balance of max’s $2000 after 10 years?


5. who is $10,000 richer at the end of the competition?