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Citrus2011 [14]
2 years ago
15

Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale

price $77
part b : 25% discount , and the sale price $123
Mathematics
1 answer:
Anna [14]2 years ago
6 0

Answer:

A) $87.5

B) $164

Step-by-step explanation:

A) Marked Price (Original Price)

= \frac{Sale Price}{1 -Discount}

=\frac{77}{1-0.12}

=87.5

B) Marked Price (Original Price)

=\frac{Sale Price}{1 -Discount}

=\frac{123}{1-0.25}

=164

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Find the derivative of
kirill [66]

Answer:

\displaystyle y'(1, \frac{3}{2}) = -3

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
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Functions
  • Function Notation
  • Terms/Coefficients
  • Exponential Rule [Rewrite]:                                                                              \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle y = \frac{3}{2x^2}<u />

\displaystyle \text{Point} \ (1, \frac{3}{2})

<u>Step 2: Differentiate</u>

  1. [Function] Rewrite [Exponential Rule - Rewrite]:                                            \displaystyle y = \frac{3}{2}x^{-2}
  2. Basic Power Rule:                                                                                             \displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}
  3. Simplify:                                                                                                             \displaystyle y' = -3x^{-3}
  4. Rewrite [Exponential Rule - Rewrite]:                                                              \displaystyle y' = \frac{-3}{x^3}

<u>Step 3: Solve</u>

  1. Substitute in coordinate [Derivative]:                                                              \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}
  2. Evaluate exponents:                                                                                         \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}
  3. Divide:                                                                                                               \displaystyle y'(1, \frac{3}{2}) = -3

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

6 0
2 years ago
Bill has enough money to buy no more than 1/2 pound of cheese. how much cheese could he buy?
quester [9]
Let
 x: amount of pounds of cheese that Bill can buy.
 We can write the following inequation for this problem
 x <= 1/2
 Therefore, Bill could buy up to 1/2 pound of cheese.
 answer
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3 years ago
eight more than the product of four and a number is equivalent to seven less than the same number in equation form.
Georgia [21]
4n + 8 = n - 7
(In which 'n' represents the unknown number)

(4n + 8): "Eight more than the product of four and a number"

(= n - 7): "Is equivalent to seven less than the same number in equation form."

Subtract 8 from both sides:
4n = n - 15

Subtract n from both sides:
3n = -15

Divide both sides by 3:
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