Answer:
R = 0.8333%/month
(R = 9.9996%/year)
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving your equation:
r = (1/4)((8267.7/8001) - 1) = 0.00833333
r = 0.00833333
Converting r decimal to R a percentage
R = 0.00833333 * 100 = 0.8333%/month
Calculating the annual rate
0.8333%/month × 12 months/year = 9.9996%/year.
The interest rate required to get a total amount, principal plus interest, of $8,267.70 from simple interest on a principal of $8,001.00 over 0.333333 years (4 months) is 0.8333% per month.
Answer:

General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:

Derivative Property [Addition/Subtraction]:

Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
Integration Rule [Reverse Power Rule]:

Integration Property [Multiplied Constant]:

Integration Methods: U-Substitution and U-Solve
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution/u-solve</em>.
- Set <em>u</em>:

- [<em>u</em>] Differentiate [Derivative Rules and Properties]:

- [<em>du</em>] Rewrite [U-Solve]:

<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply U-Solve:

- [Integrand] Simplify:

- [Integral] Rewrite [Integration Property - Multiplied Constant]:

- [Integral] Apply Integration Rule [Reverse Power Rule]:

- [<em>u</em>] Back-substitute:

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
The one on the bottom right
Step-by-step explanation:
In order for something to be a function it has to pass the Vertical Line Test. To do this you draw an imaginary vertical line down your graph. If the graph touches the line more than one it is not a function. This rules out all others except the bottom right graph.