Integration by parts

Today in class we took a quiz. Many people forgot about adding the constant to the finished problems. This is a chance to redeem yourselves and answer each other's questions. Sort of a redemption quiz. I'll start with a problem, and whomever answers my problem will post another question for the next person to answer.
1. Integral of(x(x+1)^(1/2)dx)

Annuities: Now you can actually solve them!

So now that we actually know how to solve an annuity problem, I figured the time may be ripe to ask another question about them. So......

A) If you were to start off by depositing 10,000 dollars your first year, and every year after that, and it earned 12% interest, how long would it be before you made it to 1 million dollars? What about 1.5 million dollars?

B) Now say you had the same situation, 10,000 dollars every year, but you didn't know the rate at which it was earning interest. What would the rate be if you reached the 1 million dollar plateau after 35 years?

Semester Exam: Helpful Study Sites

Well the time is here, and if you're like me, you've put off studying for as long as you can. But you can delay then inevitable no longer, time to put your nose back in the book. I have done some research and found some good sites to use to study for the semester exam. Do some research of your own and share the links here! Good luck to all during exams!

http://www.math.ucdavis.edu/~kouba/ProblemsList.html

http://www.mycalculus.com/

Building a Nest Egg: Time is Your Best Friend

Recently in class, we have been talking about investing and compound interest. However, I feel that many students lack the connection between this subject and their real lives. So here's a question you may want to answer: When do you want to have a million dollars saved up when you retire? So to give you an idea as to when you should start investing, answer this question.....

A) Say you started at age 25, by investing 5,000 dollars once a year, every year, and that inputted money earns a return of 10% compounded annually, how long will it be until you crack the one million dollar mark?

*Hint* Use a Google Docs spreadsheet to find the answer*Hint*

Interest?

In calculus we are learning about interest, and boy oh boy is it 'interest'ing! This topic is quite helpful to the upcoming college freshmen in the class, because there will be opportunities to get loans and credit cards as a college student. Now do some research and find
•a typical/average interest rate on a student loan
or
•an extremely high or low interest rate for a credit card
Good luck, I'm excited to see your findings!