Answer
The value of the investment becomes $2A$ or doubled also.
Work Step by Step
The formula for the amount $A$ with interest rate compounded continuously is:
$$A=Pe^{rt}$$
Doubling the amount, the new value $A_1$ of the amount is:
$$A_1=(2P)e^{rt}$$ $$A_1=2(Pe^{rt})$$
Substitute $Pe^{rt}=A$:
$$A_1=2A$$
Thus, the value of the investment becomes $2A$ or doubled also.
