00:01
So in this problem, we have an investment that produces a continuous income stream.
00:05
The rate that we have for our income is $5 ,000 minus $3 .3 .3 per year at time t.
00:15
So with that, we know that the annual interest rate remains fixed during the five years at 6 % compounded continuously.
00:24
So what we want to do is ultimately find the percent value of the investment of the investment.
00:30
Over the next five years.
00:33
So we're going to use the formula percent value.
00:35
This can be from zero to the time period, which we know is five years.
00:43
I have t times e to the negative rt, and dt.
00:48
So now we plug in the values that we know.
00:50
So that's going to be from zero to the time period, five years...