Answer:
The given expression is
This exponential function models the situation here. Where is time and is money in dollars.
Now, to find the y-intercept, we just need to find the value asigned for
So, this result menas that the initial condition is 60, that is, Jacob began with $60.
On the other hand, asymptotes refers to function restrictions in its domain or range. In this case, the only restriction is in the range, because an exponential function doesn't have valid negative values, because a power always gives a positive result. So, the equation of its asymptote in this case must be
which is the x-axis.
Actually, the range of the function is because it cannot be equal to zero, due to the characteristics of powers, their minimum result is 1.
Lastly, if Jacob doesn't deposit any additional money, after eight years he will have (
Therefore, he would have around $82.11.