Respuesta :

Space

Answer:

$2563.09

General Formulas and Concepts:

Math

  • Percents

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

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

  • A is final amount
  • P is principle amount
  • r is rate
  • n is compounded rate
  • t is time

Step-by-step explanation:

Step 1: Define

P = 2500

r = 0.025

n = 4

t = 1

Step 2: Find A

  1. Substitute in variables [Compounded Interest Rate]:                                  [tex]\displaystyle A = 2500(1 + \frac{0.025}{4})^{4(1)}[/tex]
  2. (Parenthesis) Add:                                                                                          [tex]\displaystyle A = 2500(1.00625)^{4(1)}[/tex]
  3. [Exponents] Multiply:                                                                                      [tex]\displaystyle A = 2500(1.00625)^{4}[/tex]
  4. Evaluate exponents:                                                                                       [tex]\displaystyle A = 2500(1.02524)[/tex]
  5. Multiply:                                                                                                           [tex]\displaystyle A = 2563.09[/tex]