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Dany deposits $4,700 in an account that pays 2.15% simple interest. He keeps the money in the account for three years but doesn't make any deposits or withdrawals. How much interest will he receive after the three years?

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Answer:

Dany will recieve $303.15 in interest and will have a total of $5003.15

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

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

Principle amount P = 4700

Rate r = 2.15% = 0.0215

Time t = 3 years

Step 2: Solve for A

  1. Substitute [SIRF]:                    A = 4700[1 + 0.0215(3)]
  2. [Brackets] Multiply:                 A = 4700[1 + 0.0645]
  3. [Brackets] Add:                       A = 4700[1.0645]
  4. Multiply:                                   A = 5003.15

Step 3: Find Interest Gained

Final - net

  1. Substitute:                    5003.15 - 4700
  2. Subtract:                       303.15
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