- 15 Percent Annual Interest [8/24/1996]
-
How much money will I will have in 29 years if I save $120 per month at
15 percent annual interest?
- Accumulating Interest [06/26/2003]
-
Michael deposits $355 each month into an account that pays 3%
interest, accrued monthly. How much money will he have after 3
months? 6 months? 12 months?
- Amount of an RRSP [03/24/2002]
-
Brian makes $2500 deposits into his Registered Retirement Savings Plan on
his 20th, 25th, 30th, 35th, and 40th birthdays. The RRSP pays 7% per
annum, compounded annually. Determine the value of Brian's RRSP when he's
65.
- Analyzing Monthly Payments [05/13/1998]
-
How much principal and how much interest have been paid after n payment
cycles?
- Annuities [12/31/2001]
-
If I have $100,000 at 5% interest and withdraw from it for 20 years,
leaving a zero balance, how much monthly income will I have?
- An Annuity [12/13/1995]
-
Compound interest with monthly installments.
- Applications of the Number 'e' [02/21/2009]
-
I've been trying to find examples of real-life applications of the
number e, but everything I've found so far just talks about the number
itself. How is the number used in the real world?
- Calculating an APR [10/01/2002]
-
A company made a loan for 12 months. The total amount was $790.60 and
they charged $94.83 interest. How can I calculate the APR?
- Calculating Interest on Auto Loans [7/10/1996]
-
How do the the lien holders for auto loans calculate interest on the
principle?
- Clarifying Fraction Notation [07/02/1997]
-
.83 1/3... a trick problem?
- Coal Consumption [01/13/1997]
-
How long will coal reserves last if consumption increase at the rate of
3.1 percent per year?
- Compounding Interest and e [11/11/1998]
-
How is the number e derived from compounding interest? Does it come from
the series expansion of e?
- Compound Interest [04/11/1997]
-
How many years will be needed for $5000 to increase to $22,000 at 11
percent interest compounded monthly?
- Compound Interest [07/30/1997]
-
I want to buy a car that costs $20,058.00 and would like to know how they
calculate the interest on my loan.
- Compound Interest [05/30/2001]
-
Computing compound interest with known variables.
- Compound Interest - Rule of 70 [11/29/1994]
-
There is a famous "Rule of 70" for compound interest. What is it and why
does it work?
- Compound interest to a specific amount [07/24/1997]
-
How long would it take for a regular deposit account to equal one million
dollars, assuming monthly payments of $100.00 at 8, 10 and 12 percent
interest?
- Compound interest with Repayments [07/24/1997]
-
I need a compound interest formula with repayments, such as in a bank
situation.
- Derivative of e^x [10/28/1999]
-
How can I prove that the derivative of e^x is e^x?
- E in the Modern World [01/06/1998]
-
I am looking for examples of how e exists in the modern world.
- Endowment Awards [05/09/1997]
-
An endowment of $15,000 is made which earns 7.25% interest compounded
continously. How large must the endowment grow for it to support an
annual award of $1,200 in perpetuity?
- Euler's Number [01/28/1998]
-
Why is Euler's number referred to as the natural base?
- Exponential Growth & Compound Interest [6/2/1996]
-
(1) The cost of goods and services in an urban area increased 1.5% last
month. If the rate continues, what will be the annual rate of increase?
(2) Suppose a certain population increases by 30% every 10 years. By what
percent does it increase each year?
- First Calculation of E [12/18/1997]
-
How did Euler first calculate the value of e?
- Formula for 8 Percent Interest [5/31/1996]
-
I put $15 a month into a saving account and at the end of each year I get
8 percent interest...
- Formula for Compound Interest [3/31/1995]
-
Please send the formula(s) for calculating interest compounded annually,
daily, and continuously.
- Formula for Mortgage [7/4/1996]
-
What is the formula for a mortgage?
- History and Applications of the Natural Logarithm [03/02/1998]
-
I'm so surprised at how often the number e comes up. Where did it come
from? Who first derived it? Why is it so common in the field of biology?
- How Do Credit Card Companies Calculate Interest? [02/05/2004]
-
I would like to know if there is an equation that would determine the
total amount of interest my credit card company will charge each month
so that I can figure out the best monthly payment for my bills.
- Interest Continuously Compounded or Compounded Daily [10/11/2002]
-
I lent a friend $40 on the condition that he pay 3% interest per day
until he decided to pay me back. What formula should I use to
calculate the amount he owes me at any day x?
- Interest: Definitions [9/25/1996]
-
What is compound interest? What is continuous compounding?
- Interest Rates [4/4/1996]
-
At what rate of simple interest would the amount to be repaid on a loan
be triple the principal of the loan after 25 years?
- (i)th Root and (i)th Power [02/13/1999]
-
How do you simplify x to the power of i (and 1/i), where x could be any
number?
- The Largest Numbers in the World [11/21/2005]
-
When I was in 8th grade my math teacher said duodecillion was the
largest number of anything in the world that is measurable. Can you
tell me what that 'thing' is that measures a duodecillion? What's the
biggest number we know of or use?
- Loan Payment Formula with Irregular First Period [05/16/2003]
-
What is the mathematical formula for calculating a level payment
payment on a simple interest loan with an irregular (short or long)
first period?
- Loan Terms and APR [02/18/1997]
-
Formula for annual percentage rate.
- Logarithms: History and Use [7/12/1996]
-
How do I explain why logarithms work to non-math-oriented people? Also,
what is the history of the development of the concept of logarithm? Why
is it called a "logarithm"?
- 'Log' Button [01/29/1998]
-
We have been using the 'log' button on our calculators to solve problems
involving compound interest. What does that button do?
- Looking at Compound Interest [01/08/2007]
-
I've been studying compound interest and have found a couple things
that seem counter-intuitive to me. For example, if you have different
interest rates over the course of the compounding, the order in which
the rates occur makes no difference on the net result. I assumed that
getting the higher rates earlier would lead to a higher net. Why
doesn't it work that way?
- Math in the Real World [2/19/1996]
-
I would like to know some examples of mathematical applications in the
real world.
- Monthly Compounded Interest [10/24/1996]
-
Please give me the formula for monthly compound interest accruing
annually.
- Monthly Saving [08/13/1997]
-
What is the regular monthly saving required to accumulate a known balance
at a point in the future?
- The Nature of e [02/23/1997]
-
Why is e considered natural?
- Paying off the Mortgage [10/08/1998]
-
You have a 30-year mortgage with monthly payments of $370 at 8%. If you
instead pay $400 each month, when will you pay it off?
- Proof that INT(1/x)dx = lnx [11/08/1996]
-
How do you integrate (1/x)dx?
- Pyramid Construction [05/24/1997]
-
How do you figure out the angles necessary to construct a pyramid out of
plywood?
- Quarterly Interest [6/3/1996]
-
How long will it take for a sum deposited in a savings account to double
at 6 percent interest compounded quarterly?
- Rate vs. Yield [01/31/2002]
-
What is the interest amount for the period from Sept. 05, 2001 to Dec.
04, 2001, at 5% interest, compounded daily, on principal of $356,964.15?
- The Reality of e [7/26/1996]
-
Does e exist outside of the classroom? Can I find it in nature?
- Retirement Savings [05/07/2001]
-
How can I calculate how much money I'll need to save each month from age
25 to age 65 at 5% compound interest so that I can withdraw $1,000 each
month from age 65 to 80 without running out?
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