Answer: A = Pe^(rt)
Where A is the amount of money at the end of the investment period, P is the principal amount, e is the mathematical constant e (approximately equal to 2.71828), r is the interest rate, and t is the time period.
In this case, we know that:
P = $720 (the initial investment)
A = $930 (the desired end amount)
t = 6 years (the investment period)
We can solve for r by rearranging the formula:
r = ln(A/P) / t
Where ln is the natural logarithm.
Plugging in the numbers, we get:
r = ln($930/$720) / 6
r = 0.0436 or 4.36%
Therefore, Jason would need an interest rate of approximately 4.36% (to the nearest hundredth of a percent) in order to end up with $930 after 6 years of continuous compound interest.