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How much principal would you have to deposit to earn $700 simple interest in 2 years at a rate of 2%?

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Answer:

P = $673.077

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

  • A is final amount
  • P is principle amount
  • r is rate
  • t is time (in years)

Step-by-step explanation:

Step 1: Define

A = 700

r = 2% = 0.02

t = 2

Step 2: Solve for P

  1. Substitute [SIRF]:                    700 = P[1 + 0.02(2)]
  2. [Brackets] Multiply:                 700 = P[1 + 0.04]
  3. [Brackets] Add:                       700 = P[1.04]
  4. Isolate P:                                 673.077 = P
  5. Rewrite:                                   P = 673.077

Answer:

$673.077

Step-by-step explanation:

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