Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Coordinates (x, y)
- Exponential Rule [Root Rewrite]:
![\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
- Exponential Rule [Rewrite]:

<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Implicit Differentiation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>

Point (1, 4)
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:

- [Implicit Differentiation] Basic Power Rule:

- [Implicit Differentiation] Simplify Exponents:

- [Implicit Differentiation] Rewrite [Exponential Rule - Rewrite]:

- [Implicit Differentiation] Isolate <em>y</em> terms:

- [Implicit Differentiation] Isolate
: 
- [Implicit Differentiation] Simplify:

<u>Step 3: Evaluate</u>
- Substitute in point [Derivative]:

- Exponents:

- Division:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
The correct answer to this equation is C
Answer:
D) 11/3
Step-by-step explanation:
Let x represent monthly salary.
We have been given that for each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity.
Salary earned in 11 months would be
.
Money donated in 11 months would be
.
Further we are told that in December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity.
Salary for December would be
.
Money donated in December would be
.
The worker's charitable contributions totaled one-eighth of his earnings for the entire year that is
.

Dividing whole equation by x, we will get:


Combine like terms:






Therefore, the value of N is 11/3 and option D is the correct choice.