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Soloha48 [4]
2 years ago
15

Susan opened a college savings account 4 years ago. She opened the account with an initial deposit of $3,000. Starting the next

year, she deposited $1,000 on the same day each year. The account earns interest at an annual rate of 4.15% and is compounded annually. Susan hopes to have earned enough interest to pay for her first year of college tuition, which costs $7,100. What is the difference between her ending balance after 4 years and the cost of her tuition?
Mathematics
1 answer:
sladkih [1.3K]2 years ago
7 0

Answer:

$20

Step-by-step explanation:

multiply 100.00 x 5% which is 100x 0.05, then it will give you 5.

add 5, 4 more times which will give you 20

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

<u>Algebra II</u>

  • Imaginary Roots: √-1 = i
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Step-by-step explanation:

<u>Step 1: Define</u>

-4x² - 4x - 9 = 0

a = -4

b = -4

c = -9

<u>Step 2: Find roots</u>

  1. Substitute:                    x=\frac{4\pm\sqrt{(-4)^2-4(-4)(-9)} }{2(-4)}
  2. Exponents:                   x=\frac{4\pm\sqrt{16-4(-4)(-9)} }{2(-4)}
  3. Multiply:                        x=\frac{4\pm\sqrt{16-144} }{-8}
  4. Subtract:                       x=\frac{4\pm\sqrt{-128} }{-8}
  5. Factor:                          x=\frac{4\pm \sqrt{-1} \cdot \sqrt{128} }{-8}
  6. Simplify:                       x=\frac{4\pm 8i\sqrt{2} }{-8}
  7. Factor:                          x=\frac{4(1\pm 2i\sqrt{2}) }{-8}
  8. Divide:                          x=\frac{1\pm 2i\sqrt{2}}{-2}
  9. Expand:                        x=\frac{-1}{2} \pm \frac{-2i\sqrt{2} }{2}
  10. Simplify:                        x=\frac{-1}{2} \pm -i\sqrt{2}
  11. Evaluate:                      x=-0.5 \pm -i\sqrt{2}
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