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Gnom [1K]
3 years ago
15

You deposit $750 in a savings account the earns a 5% annual interest compounded quarterly.

Mathematics
1 answer:
Kobotan [32]3 years ago
7 0

Answer:

a. A = P(1 + \frac{r}{n})^{nt}

b .$914.85

Step-by-step explanation:

Step one:

given data

principal p=$750

rate= 5%= 0.05

for quarterly compounding n=4

a. the function that represents the balance after t years.

A = P(1 + \frac{r}{n})^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

b. when t=4

A = 750(1 + \frac{0.05}{4})^{4*4}\\\\A= 750(1 +0.0125)^{16}\\\\A= 75(1.0125)^{16}\\\\A= 750*1.2198\\\\A=914.85

A= $914.85

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3 years ago
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Ksivusya [100]

Answer:

x=24

Step-by-step explanation:

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3 years ago
What are the solutions of x^2 - 2x + 10 = 0?<br><br> ​
dybincka [34]

Answer:

C. x = 1 + 3i or x = 1 - 3i

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
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<u>Algebra I</u>

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<u>Algebra II</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

x² - 2x + 10 = 0

<u>Step 2: Identify Variables</u>

a = 1

b = -2

c = 10

<u>Step 3: Find roots</u>

  1. Substitute [Quad Formula]:                    x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}
  2. Exponents:                                              x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}
  3. Multiply:                                                   x=\frac{2\pm\sqrt{4-40} }{2}
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  5. Factor:                                                     x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}
  6. Simplify:                                                   x=\frac{2\pm6i }{2}
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  8. Divide:                                                     x=1\pm3i
5 0
3 years ago
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Answer:

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Answer:

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The only common factor of 35 and 60 is 5.

2. Divide the numerator and denominator by the Greatest Common Factor.

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