Answer:
[tex]B(t) =100 * (1 + r)^t[/tex]
Step-by-step explanation:
Given
[tex]B(t) = ab^x[/tex]
[tex]x = t[/tex] ---- months
[tex]a = 100[/tex] --- Initial deposit
Required
Replace a, b and x
Substitute: [tex]a = 100[/tex] in [tex]B(t) = ab^x[/tex]
[tex]B(t) = 100 * b^x[/tex]
Substitute:[tex]x = t[/tex]
[tex]B(t) = 100 * b^t[/tex]
From the question, the rate, r is not given.
And
[tex]b = 1 + r[/tex]
So, the expression becomes:
[tex]B(t) =100 * (1 + r)^t[/tex]
