Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Exponential Functions

Exponential Functions 1.5 - Solution

arrow_back Return to Exponential Functions
a
In this question, we want to know how much will be in the account after years. Thus, we need to find an equation and since it's an exponential growth, we use the formula We know that Katinka's initial deposit was so Further, the rate is  since We can substitute for since it's years, in our equation and solve for
Simplify right-hand side
Thus, we see that after years in the account Katinka will have
b
To find out how much will be in the account after years, we can substitute for in our equation and solve for
Simplify right-hand side
Thus, we see that after years in the account Katinka will have
c
In this case, we want to find out when Katinka's total amount will be so she can afford the trip. We can substitute for and then solve for
Solve for
Thus, Kantinka needs to save money for years.
d
In this case, we want to find out when Katinka's total amount will be so she can afford the trip to LA. We can substitute in for and then solve for
Solve for
Thus, Kantinka needs to save money for years.