Answer:
Diverges
General Formulas and Concepts:
<u>Algebra I</u>
- Exponential Rule [Dividing]:
<u>Calculus</u>
Limits
- Limit Rule [Variable Direct Substitution]:
Series Convergence Tests
- P-Series:
- Direct Comparison Test (DCT)
- Limit Comparison Test (LCT):
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Apply DCT</u>
- Define Comparison:
- [Comparison Sum] Simplify:
- [Comparison Sum] Determine convergence:
- Set up inequality comparison:
- [Inequality Comparison] Rewrite:
- [Inequality Comparison] Simplify:
∴ the sum is divergent by DCT.
<u>Step 3: Apply LCT</u>
- Define:
- Substitute in variables [LCT]:
- Simplify:
- [Limit] Evaluate [Coefficient Power Rule]:
∴ Because and the sum diverges by DCT, also diverges by LCT.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Convergence Tests (BC Only)
Book: College Calculus 10e
Answer:
Price decrease: $2,597
Price of next model: $46,403
Step-by-step explanation:
100% - 5.3% = 94.7%
94.7% = 0.947 as a decimal
49,000 * 0.947 = 46,403 for next model
The difference is 49,000 (current) - 46,403 (the new model) = $2,597
Hope this helped! Have a great day :D
See in the explanation
<h2>
Explanation:</h2>
We can write the Slope-Intercept form of the equation of a line as:
The slope is a measure of the steepness of a line It is a ratio between vertical change (run) and horizontal change (rise), so we can also write the slope (m) as:
We have the following facts:
- If we increase the rise, the slope also increases and if we decrease the rise the slope also decreases.
- If we increase the run, the slope decreases and if we decrease the rise the slope increases.
<h2 /><h2>Learn more:</h2>
Slope of tangent to curves: brainly.com/question/12383276
#LearnWithBrainly
Answer:
Step-by-step explanation:
Im going to assume a faction greater than one means an improper fraction.
Converting gets which simplified is
Where is the question ? I’m sure you’re missing information.