SALARY, WAGES, & COMMISSION
Which of the following refers to the form of compensation paid to employees as incentive or motivation to complete tasks or achieve successful sales?
Commission
Leonardo of Pisa is known for his nickname Fibonacci. It came from the Latin phrase filius Bonacci or Fibonacci (which means son of Bonacci). What is the full name of Leonardo of Pisa's father?
Guglielmo Bonacci
What is the formula in getting the sum of an arithmetic sequence if the first term and the common difference are given?
Sn=([(2a1+(n-1)d]n)/2
What are the formulas in getting the nth term and the sum of the nth term of a geometric sequence?
an=a1rn-1 ; Sn=((a1)(1-rn))/1-r
If the worker's hourly rate is ₱100, how much is his annual salary?
₱208,000
A jacket has a marked price of ₱49,875. The store offers two successive discounts of 15% and another 15%. A customer claims that this is equivalent to a single 30% discount. Is the customer's claim correct?
No, because the second discount applies to the already discounted price.
Using the Binet's formula, find the 27th term of the Fibonacci Sequence.
196,418
The first term of an arithmetic sequence is 27 and the common difference is 5. What is the 14th term of the given sequence?
92
The first term of a geometric sequence is 11 and the common ratio is 3. What is the 8th term of the given sequence?
24,057
Two employees have the following salaries.
- Employee A: ₱49,000 per month with an 11% salary increase.
- Employee B: ₱53,000 per month with a 5% salary increase.
Which of the following employees has greater monthly salary?
Employee B
A washing machine has a cost price of ₱38,000. Store A marks it up by 25% and then offers a 10% discount. Store B marks it up by 15% and offers a 5% discount. Which store offers the lower final price?
Store B, with a final price of ₱41,515
A rabbit population follows the Fibonacci pattern. If the first six months are represented by 1, 1, 2, 3, 5, and 8, how many rabbit pairs are there during the 18th month?
2,584 rabbit pairs
The first and last rows of a plantation have 100 crops and 28 crops, respectively. If the crops of the plantation decrease uniformly by 4 crops from the first row until the last, how many rows of crops do the plantation have?
19 rows
The 6th term of a geometric sequence is 96, and the common ratio is 2. What is the first term?
3
A sales representative can choose between two compensation plans. Plan A gives a fixed salary of ₱35,850 plus 3% commission on sales. Plan B gives 18% commission on sales with no fixed salary. If the representative expects to make ₱730,000 in sales, which plan would provide the greater total income, and by how much?
Plan B by ₱131,400
A laptop originally costs ₱45,000. It is offered at a 20% discount, followed by an additional 10% discount on the discounted price. What is the final selling price of the laptop?
₱32,400
The sum of the first 15 terms of an arithmetic sequence is 600. If the first term is 5, what is the common difference?
5
Two investments grow as follows:
- Investment A increases by ₱3,000 every year.
- Investment B increases by 9% every year.
If both start with the same amount, which investment is more likely to become larger after many years? Why?
Investment B, because it grows by a constant percentage, causing the increase to become larger over time.
The 5th term of an arithmetic sequence is 17, and the 12th term is 45. What is the sum of the first 20 terms?
780
The first term of a geometric sequence is 2, the common ratio is 3, and the last term is 486. How many terms are in the sequence?
6