Initial amount = 5000
Interest rate = 1.15
The amount increases exponentially.
Then we get the following equation
[tex]5000 \times 1.15 {}^{t} [/tex]
In this formula t represents time.
The equation of doubling time
[tex]5000 \times 1.15 {}^{t} = 10000[/tex]
[tex]1.15 {}^{t} = 2[/tex]