To find the amount resulting from the investment, we use the formula for continuously compounded interest:
A = P \times e^{rt}
Where:
A = the amount after t years
P = the principal amount (initial investment)
r = annual interest rate (as a decimal)
t = time in years
e = Euler's number, approximately 2.71828
Given:
P = 20, r = 0.07, and t = 4
Plugging the values into the formula, we get:
A = 20 \times e^{0.07 \times 4}
A = 20 \times e^{0.28}
A = 20 \times 1.323130
A = 26.4626
\boxed{A = 26.46}
Therefore, the amount resulting from the investment of $20 at 7% compounded continuously for 4 years is $26.46.