Compound Interest Nk PN = P 1+ Py is the balance in the account after N years. Po is the starting balance of the account (also called initial deposit, or principal) r is the annual interest rate in decimal form k is the number of compounding periods in one year. If the compounding is done annually (once a year), k= 1. If the compounding is done quarterly, k = 4. If the compounding is done monthly, k = 12. If the compounding is done daily, k= 365. %3D

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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Compound Interest:

  1. You deposit $300 in an account earning 5% interest compounded annually. How much will you have in the account in 10 years?
  2. How much will $1000 deposited in an account earning 7% interest compounded annually be worth in 20 years?
  3. You deposit $2000 in an account earning 3% interest compounded monthly.
    1. How much will you have in the account in 20 year?
    2. How much interest will you earn?
  4. You deposit $10,000 in an account earning 4% interest compounded monthly.
    1. How much will you have in the account in 25 years?
    2. How much interest will you earn?

 

Compound Interest
Nk
PN = P 1+
Py is the balance in the account after N years.
Po is the starting balance of the account (also called initial deposit, or principal)
r is the annual interest rate in decimal form
k is the number of compounding periods in one year.
If the compounding is done annually (once a year), k= 1.
If the compounding is done quarterly, k = 4.
If the compounding is done monthly, k = 12.
If the compounding is done daily, k= 365.
%3D
Transcribed Image Text:Compound Interest Nk PN = P 1+ Py is the balance in the account after N years. Po is the starting balance of the account (also called initial deposit, or principal) r is the annual interest rate in decimal form k is the number of compounding periods in one year. If the compounding is done annually (once a year), k= 1. If the compounding is done quarterly, k = 4. If the compounding is done monthly, k = 12. If the compounding is done daily, k= 365. %3D
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