= 16 + 49 - 3(11) - 4(10)
= 16 + 49 - 33 - 40
= -8
Answer:
General Formulas and Concepts:
<u>Algebra I</u>
<u>Calculus</u>
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]:
Trig Integration:
Step-by-step explanation:
<u>Step 1: Define</u>
<u /><u />
<u />
<u>Step 2: Integrate Pt. 1</u>
- [Integral] Factor fraction denominator:
- [Integral] Integration Property - Multiplied Constant:
<u>Step 3: Identify Variables</u>
<em>Set up u-substitution for the arctan trig integration.</em>
<u>Step 4: Integrate Pt. 2</u>
- [Integral] Substitute u-du:
- [Integral] Trig Integration:
- [Integral] Simplify:
- [integral] Multiply:
- [Integral] Back-Substitute:
Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
Answer:
$61,500
Step-by-step explanation:
For this problem, we will simply take her hourly wage and multiply that by the hours she worked and take her additional earnings for each loan processed and multiply that by the number of loans she processed.
Consider her hourly wage of $15 per hour. If she worked 2000 hours, then we can say she got paid ($15 * 2000) = $30000 for her work that year.
Consider her processing fee of $35 per loan processed. If she processed 900 loans, then we can say she got paid ($35 * 900) = $31500 for her processed loans that year.
Then, to find her yearly total earnings, we simply add those two values. $30000 + $31500 = $61500.
Thus the loan officer made $61500 that year.
Cheers.