Answer:
about $10
Explanation:
You want the difference in interest earned after 5 years between an account earning 4.3% compounded quarterly and one earning 4% compounded continuously when the investment in each is $590.
Interest formulas
The account balance when interest is compounded quarterly for t years is ...
A = P(1 +r/4)^(4t) . . . . . P is the principal invested at annual rate r
The account balance with interest is compounded continuously for t years is ...
A = Pe^(rt)
Application
The attached calculator screen shows the account balances for an investment of $590 for 5 years in accounts earning 4.3% compounded quarterly and 4% compounded continuously.
Scarlett's account, compounded quarterly, earns about $10 more interest over 5 years than does Ajay's account compounded continuously.