You need to multiply 20 by 12 because there are 12 months in a year. Make a table of the information and variables in the problem.Įxplanation: You need to divide 0.06 by 12 because annual interest is per year and the formula is per month. If you invest $3,500 at an annual interest rate of 6%, how much money will you have after 20 years? When the interest is compounded monthly, the formula below computes how much money will be in your account at sometime in the future. Examples of accounts that use compound interest are savings accounts, certificates of deposit, savings bonds, and money market accounts.Įxample 3. Review the card as homework.įor many transactions, interest is added to the principal, the amount invested, at regular time intervals, so that the interest itself earns interest. Make a note card showing examples with and without parentheses and with even and odd exponents. Study Tip: Parentheses often make a difference in the answer.
Generally, a negative number raised to an odd power will be negative. Generally any number raised to an even power will be positive.Įxplanation: Why are both answers negative?Ī negative times a negative three times is negative. Recall the order of operations: compute exponents before multiplication.Ī negative times a negative four times is positive. The explanation below is for the Tl-30x II S.Įxplanation: Why is -6.2 4 negative while (-6.2) 4 is positive? For other calculators, the exponent key is y x. The exponent key for the Tl-30x II S, the recommended calculator for the course, is ^. Use a calculator to compute the following. Three is the base and five is the exponent.Įxample 2.
Write 3 5 using the definition of exponents. Vocabulary : b n means b times itself n times b is called the base and n is called the exponent.Įxample 1. In addition, you will solve problems using the formula for compound interest and tables for demonstrating bacteria growth to illustrate the applications of exponents.
In this section, you will define exponents and perform computations with a calculator. Chapter 3 - EXPONENTS AND ALGEBRAIC FRACTIONS INTRODUCTION TO POSITIVE EXPONENTS Objectives
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