Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]: ![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
Derivative Property [Addition/Subtraction]: ![\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%20%2B%20g%28x%29%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D%20%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%29%5D)
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Differentiate</u>
- Derivative Property [Addition/Subtraction]:
![\displaystyle y' = \frac{d}{dx}[x^2] - \frac{d}{dx}[3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E2%5D%20-%20%5Cfrac%7Bd%7D%7Bdx%7D%5B3%5D)
- Basic Power Rule:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Check all the ones listed below:
1. The base is 3
(you are multiplying 3 four times or 3 to the power of 4 )
2. The exponent is 4
( 3 is the number you are multiplying and the exponent or 4 tells you how many times you multiply the base which is 3)
3. The exponent tells you to multiply the 3 together 4 times
( 3x3x3x3 is multiplying the number 3, 4 times)
<span>When we say about an object relative to something, this
only means that we are comparing an object’s characteristic to that of our
reference. So in this case, I think we are referencing Delia’s jump to someone
else. Say our reference has a long jump length of 5 meters, since Delia’s
relative long jump length is 0, this means that relative to the reference there
is no difference. Therefore, Delia’s jump length is also 5 meters.</span>
Answer: $1179.75
Step-by-step explanation:
Percentage of commission = 5.5%
Value of property = $21,450
Commission = Percentage commission × Value of property
= 5.5% × $21,450
= 5.5/100 × $21,450
= 0.055 × $21,450
= $1179.75
The commission is $1179.75
