Okay, So what we have here is a bank account that goes continuously at an interest rate of 5% or 0.5 and supposed to make an initial deposit a year 2010 with an amount of $2000. So with this problem that we will consider when did then that's the starting year. So this will be our B 00 So we are required to get em off B. And for another view, we are required to get the solutions at em off. 30 given the industry 0.5 and zero point then so for hours.

And you should Okay, so we can express B m off over the is equal to 0.5 m. Now we multiply both sides by one over m and our insulting equations. Bm over M V P is equal to 0.5 Now we multiply both sides by BP be doing that. We'll have the m over em is equal to 0.5 bp. So integrating both sides of the equation, our resulting equation will be and in a M is equal to 0.5 b.

Plessy, then raising boots said to the equation, Toe e will have em is equal to erase 0.5 b. Let's see. So remember that. See who is just a post on so it can take anybody. You therefore we can represent their equation.

Us I m is a well, Cassie areas to 0.5 feet. So this is now the general. So you Sean Now we want to find this particulars to new showed by finding the value of C. So we make yourself the initial conditions. Given a year 2010 which is at B is equal to zero C m.

I mean is it will do without sun. So we substitute this over general solution and we'll have 2000 is equal to see a raise to 0.5 10 0 So this will just be equal. The one therefore CE sequel do without sun. We cannot rewrite our solution as and is equal to Oh, sorry em off B, is it? Well do 2000 e raise 0.5 feet. Okay, So for a letter B, we want to find its Nushawn at your 24 B, which is 30 years after 20 then a at a rate off 0.5 So we do this by substituting the values to our particulars who shone so em off 30 is equal to 2000 e.

J. C. 0.5 times 30 which is approximately equal. So 8000 963 point there we eat for the next one we were asked to get its solution at P is equal to 30 but an interest rate off 10% or zero point then. So our aggression, therefore would be em off.

B is equal toe 2000 e raise 2.1 be in substituting 30 Could be will have em off 30 is equal toe 2000 Erase a 0.1 times 30 which is approximately equal to 40,000 171.7 This is our answer.