00:01
Hi, here is the problem we have here.
00:03
We invest an amount of money in the bank and the year we do that is the starting point for us.
00:16
So t -0 is the year 2000.
00:19
This is exactly so this line here, this horizontal line denotes time.
00:26
And our time zero here is really the year 2000.
00:30
Then we know that the amount of money that we invest follows an exponential growth pattern, which means that at time t, we know that the amount of money we are going to have in the investment is 3 ,800.
00:52
This is the initial investment times e to the 0 .068t.
00:58
So this equation here gives us that this formula gives us the amount of the investment, the amount of the investment at time t and this t is after in the years after the first year after the after the year 2000.
01:18
So what we want to do is we want to find the time the year after how many years after 2000 the investment is going to be equal to 6 ,100.
01:29
So here we are going to have this star is going to be here and we want to see how many years will pass until we have that we get the investment to this point over here.
01:54
So really what we want, we want to solve this equation...