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Is science and the study of quality, structure, space and change that mathematicians formulate new conjectures, and establish truth through rigorous inference.

Ayaka is 12 years older than Joshua. Five years ago, the sum of their ages was 28. How old are they now?

- Answer: Ayaka=25/Joshua=13
**Question 1**- Complete
- Mark 1.00 out of 1.00
- Not flaggedFlag question

If 16,000 earns 480 in 9 months ,what is the annual rate of interest?

- 1%
**4%**- 2%
- 3%

Find the Pearson product-moment correlation coefficient of the data set shown below:

- Question 9
- Answer saved
**Marked out of 5.00**- FlaggedFlaggedRemove flag

Find the present value of an ordinary annuity which has payments of $19157.64 per year for 24 years at 12.34 % compounded quarterly.

**$ 532159.76**- $ 593495.07
- $ 517347.13
- $ 531295.14

It refers to a collection of numbers or values that relate to a particular subject.

- Variables
**Data Set**- Elements of the set
- Problem Syntax

It refers to the sum of the numbers divided by n.

**Mean**- Mode
- Median
- Deviation

Natural objects and phenomenon behave by the underlying mathematical structure. Interactions and relationships of nature can be best described by mathematical equations

- Mathematics for Organization
- Mathematics for Prediction
- Mathematics is indespensible
**Mathematics for Control**

The median for the data in #5 is

**11**- 15
- 12
- 10

Find the final output of this proposition (((P ∨ Q) → (R ∧ S)) ↔ ¬(¬T ↔ Q)).

**TFFTFTFTFTTFTFTFTFFTFTFTFTFTFTFT**- FFTTFTFTFTTFTFFFTFFTFTFTFTFTFTFF
- TTTTFTFTFTTFTFFFTFFTFTFTFTFTFTFF
- TTTTFTFTFTTFTFTFTFFTFTFTFTFTFTFT

It is a bell-shaped curve that is symmetric when you draw a vertical line through the mean.

- Positively skewed
- Kurtic
- Normal
- Skewed

The sum of a two-digit number's digits is 11. When the digits are swapped, the resulting number is 45 less than the original. Find the original number. (5pts)

**83**- 81
- 73
- 76

Which covers the longest time?

- 20 months
- 100 weeks
**800 days**- 1.5 years

It is used to convert any formal distribution into the standard normal curve between them.

- T-score
- Ratio
- Standard deviation
**Z-score**

It is an interest computed based on the original principal and the accumulated past interest.

- Deferred Annuity
**Compound Interest**- Simple Interest
- Annuity Due

Given this ISBN, 978073342609x. Find the check digit x?

- 0
- 1
- 3
**4**

It is very important that once an answer was arrived it must be verified with regards to the given problem. Solutions must ensure that answers are consistent.

- Understand the problem
- Carry out the plan
- Devise a plan
**Review the solution**

It is a sequence of equal payments made at equal periods

- Interest
- Bond
**Annuity**- Compound interest

It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in ~

- Ordered Pair
- Subset
- Set-Builder Notation
**Cartesian Product**

The mode for the data in #5 is

- 12
- 9
**none**- 10

What rate compounded quarterly is equivalent to 14% compounded semiannually?

**13.76%**- 13.45%
- 13.52%
- 13.65%

Annuity where payment is done at the end of the term

- Deferred annuity
**Ordinary annuity**- Exact annuity
- Annuity due

It refers to a set S and P(x) be a property that elements of S may or may not satisfy. We may define a new set to be the set of all elements x in S such that P(x) is true. The set is denoted as follows: { x ∈ S|P(x)}

**Set-Builder Notation**- Ordered Pair
- Subset
- Set-Roster Notation

How many of your batchmates have you surpassed if your graduation rank in high school is 56th percentile out of 2136 students?

- Answer: 1196
- Question 10
- Answer saved
**Marked out of 5.00**- Not flaggedNot flaggedFlag question

What is the present worth of a Php 1000 annuity over a 10-year period if interest rate is 8%?

- 7896.00
- 6234.80
- 8976.00
**6710.00**

It refers to a statement that is both universal and conditional which contains some variation of the words "for all" and conditional statements contain versions of the words "if-then".

**Universal Conditional Statement**- None of the above
- Universal Existential Statement.
- Existential Universal Statement

Find the Pearson product-moment correlation coefficient of the data set shown below: (10pts)

**r=-0.9550**

Population growth and bacterial decay can be modeled by the exponential growth or decay formula.

- Fibonacci Sequence
- Sequence
- Patterns
**Exponential Growth Model**

The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers.

- Ratio
**Golden Ratio**- Exponential Growth Model
- Patterns

It is one which payment begin and end at fixed times.

**Annuity certain**- Ordinary annuity
- Contingent Annuity
- Annuity due

The compound amount when 2,000 is invested at 10% compounded every 6 months for 2 years.

- 2,423.00
- 2,345.20
- 2,340.12
**2,431.01**

What is the annual rate of interest if 265 is earned in four months on an investment of 15,000.00?

**5.3%**- 5.2%
- 5,0%
- 5.1%

The actual time in days from May 1 to Dec 15 of the same year is

- 240
**228**- 230
- 227

It is the region which consists of all possible solution choices for a particular problem

**Feasible Region**- Matrix Region
- Reinmann's Region
- Axiom Region

When two quantities x and y are related so that for some range of values of x the value of y is determined by that of x then we say that y is a function (f) of x.

- Equality of Functions
- Relation
- Variables
**Function**

It refers to denoting a set by enumerating all of its elements between braces.

- Set-Builder Notation
- Subset
- Ordered Pair
**Set- Roster Notation**

It is one whose payment depend on an event that cannot be foretold accurately.

**contingent annuity**- deferred annuity
- ordinary annuity
- annuity due

The process of determining the current value of a bond

- Bond evaluation
**Bond validation**- Bond determination
- Bond interest

What do you call the measure of the strength of a linear association between two variables and is denoted by r?

- Simple Linear Regression
- Median
- Modal Value
**Pearson product-moment correlation coefficient**

Where the monthly e-commerce sales is Y and online advertising costs X. Note: Round off your answers to two decimal places. No spaces in between characters. Example format for the Final answer: y=36.11x+23.22

**y=171.47x+125.83**

The mean for data set: 10,12,15,16 ,8, 7 is

- 10.55
- 12.12
**11.33**- 14.10

A lot of events happening around us needed mathematical tools to help us in make sound analysis and better decisions.

**Mathematics for Organization**- Mathematics is indespensible
- Mathematics for Control
- Mathematics for Prediction

John wants to apply for a loan, with a Present Annuity due value of $3,500,568.78 from a bank that charges 14.28 % interest per annum, compounded monthly. If he can only be able to pay back $43,367.21 per annum at the beginning of each year, When will John fully pay all of his debt to the bank?

- 22 years
- 21 years
- 27 years
- 15 years

It is a policy that gives you the optimal number of each product to produce.

**Optimal Production Policy**- Standardization Policy
- Supply Chain Policy
- Economical Policy

To be able to solve a problem, understanding what the problem asks for is very important.

- Devise a plan
**Understand the problem**- Review the solution
- None of the choices
- Carry out the plan

How long will 4,000 to 14,000 at a simple interest rate of 12.5% ?

- 25 years
**20 years**- 15 years
- 10 years

Find the interest rate on 6800 for 3 years at 11% simple interest .

- 2144.00
- 1,875.000
- 1987.00
**2,244.00**

The largest interest can be obtained when compounded.

- quarterly
- semi-annually
**monthly**- annually

It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A ⊆ B,

- Cartesian Product
- Ordered Pair
**Subset**- Set-Builder Notation

The present worth of 20,000 with simple interest of 12% due in 9 months is

- 18,509.23
- 23.500.00
- 21,000.00
**18,348.62**

Find the variance of [6 ,7 ,10 ,11 ,12 ,13 ,16 ,18 ,25].

**30.77**

The maturity value of a loan of Php 10,000 and interest half of the principal

- 18,000
- 12,000
- 11,000
**15,000**

Find the median from a set of numbers divisible by 5 from 1 to 50. (5pts)

- 21.7
**27.5**- 20.4
- 23.5

What do you call the single value that attempts to describe a set of data by identifying the central position within that set of data?

- Correlation
- Linear Programming
- Northwest Corner Algorithm
**Measure of Central Tendency**

The exact simple interest on 5,000 for the period of January 15 to November 28,1992 if the interest rate is 22%

**955.74**- 547.65
- 300.55
- 451.89

A loan of Php 2000 is made for a period of 13 months at a simple interest rate of 20%.What is the maturity value?

- 2.400.32
**2,433.33**- 2,450.12
- 2,434.22

The line that minimizes the sum of the squares of the vertical deviations from each data point to the line is referred to as the least-squares regression line, or least- squares line for

- Random line
- Least regression line
**Least-squares regression line**- Regression line

Who established and developed Linear Programming?

- Adam Smith
- Friedrich Hayek
- Karl Marx
**Leonid Kantorovich**

The mean for data set: 10,12,15,16.,8, 7 is

**11.33**- 14.10
- 10.55
- 12.12

If money is worth 4% compounded monthly ,what payment at the end of each quarter will replace payments of Php 500.00 monthly

- 1,565.00
- 1,500.00
- 1,525.00
**1,505.00**

Given this UPC number 61414x000036, find the 6th digit x.

**1**- 3
- 2
- 6

In an exam, students in a class scored as follows:

- 90
**88**- 40
- 78

The type of reasoning where a conclusion is made by applying assumptions, procedures or principles.

**Deductive reasoning**- Inductive reasoning
- Term Numbers
- Polygonal Numbers

It is an ordered list of numbers called terms that may have repeated values.

- Patterns
- Fibonacci Sequence
- Exponential Growth Model
**Sequence**

In a linear programming problem, it is the maximal value for profit.

**Corner Point Principle**- Northwest Corner Algorithm
- Simplex Method
- Optimal Production Policy

Ayaka scored the following on his mathematics tests: 60 ,75 ,80 ,75 ,70 ,90 , 91 ,84 ,61 ,75. What is the standard deviation of her test scores?

**10.10**

When two sets form a collection of ordered pairs of (x,y) each of which coming from each set then it is said that x R y.

- Function
- Variables
- Equality of Functions
**Relation**

It is the numbers in a sequence separated by commas.

- Sequence
**Term**- Conjecture
- None of the Above

It is found by assuming each month to be 30 days

- Simple time
**Approximate time**- Exact time
- Ordinary time

It refers to the number that occurs most frequently in a list of numbers.

- Deviation
- Mean
- Median
**Mode**

Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful:

- Review the solution
- Carry out the plan
**Devise a plan**- Understand the problem

Ayaka is 12 years older than Joshua. Five years ago, the sum of their ages was 28. How old are they now? (6pts)

- Answer:
**Ayaka=25/Joshua=13**

The total amount the borrower would need to repay a loan

- Compound value
- Principal
**Maturity value**- Present value

Suppose that a marketing firm conducts a survey of 1,000 households, determine the average number of TVs each household owns.

- Answer:
**2.57**

How many of your batchmates have you surpassed if your graduation rank in high school is 56th percentile out of 2136 students? (5pts)

- Answer:
**1196**

It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in B

- Set-Builder Notation
- Subset
**Cartesian Product**- Ordered Pair

In Polygonal Numbers the Geometric shapes associated with numbers for Pentagonal numbers is_______________________.

- n2
- None of the above.
- n(n+1)/2
**n(3n-1)/2**

What rate compounded annually will double any sum in 6 years?

- 12.20%
- 12.4%
- 12.30%
**12.25%**

It refers to the bond rate or coupon rate

- Compound value
- Effective ratel
- Present value
**Nominal rate**

It refers to a statement that is universal because its initial part says that a certain property is true for all objects of a given sort, and it is existential because its second part assets the presence of something.

- Existential Universal Statement
- Universal Conditional Statement
- None of the above
**Universal Existential Statement.**

The actual number of days between May 4 and Sept 6 of the same year is

- 135
- 130
- 128
**125**

How much must be invested today in order to have 15,500 in 2 years if money is worth 12% simple interest?

- 12,000
- 13,000
**12,500.00**- 12,200

It is an interest bearing contract which obligates the borrower to make payments of interest and principal on specific dates to the holder of the bond

- Check
**Bond**- Annuity
- Loan

49. It is one whose payment depend on an event that cannot be foretold accurately.

- ordinary annuity
- annuity due
**contingent annuity**- deferred annuity

The type of reasoning where a conclusion is made by means of specific examples.

- Polygonal Numbers
- Deductive reasoning
**Inductive reasoning**- Conjecture

The largest interest can be obtained when compounded

- annually
**monthly**- semi-annually
- quarterly

How many conversion periods are there for an amount of 1000 compounded quarterly for 5 years

- 15
**10**- 20
- 5

Find the quartiles (Q1, Q2, Q3) of the data set shown below:

- NO spaces between characters
- Answer format: Q1=22.99/Q2=25.00/Q3=31.21
- Answer: Q1=46.50/Q2=74.00/Q3=86.00
- Question 2
- Answer saved
**Marked out of 1.00**- Not flaggedNot flaggedFlag question

What do you call the type of correlation when the value of one variable increases with respect to another?

- Negative Correlation
**Positive Correlation**- Linear Optimization Correlation
- No Correlation

It displays a data set by dividing the data into intervals, or, classes, and listing the number of data values that fail into each interval.

- Relative frequency
**Frequency distribution**- Normal distribution
- Cumulative frequency distribution

The time between successive interest computation

- Approximate time
- Exact time
**Compounding period**- Regression period

It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A B,

- Cartesian Product
**Subset**- Ordered Pair
- Set-Builder Notation

Ayaka scored the following on his mathematics tests: 60 ,75 ,80 ,75 ,70 ,90 , 91 ,84 ,61 ,75. What is the standard deviation of her test scores? Round off your answer to the nearest tenths.

- Question 20
- Answer saved
**Marked out of 1.00**- Not flaggedNot flaggedFlag question

It is an amount where the borrower is obliged to pay before the bond is surrendered to the borrower.

- maturity value
- final amount
- present value
**Final redemption value**

It refers to a set S and P(x) be a property that elements of S may or may not satisfy. We may define a new set to be the set of all elements x in S such that P(x) is true. The set is denoted as follows: { = Set-Builder Notation ~ Set- Roster Notation ~ Subset ~ Ordered Pair }

- S|P(x) x
**x S|P(x)**- P(x)|S x
- x P(x)|S

elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair b is the second element .Any two ordered pairs (a,b) and (c,d) are said to be equal if and only if, a=c and b=d.

- Subset
- Set-Builder Notation
**Ordered Pair**- Set- Roster Notation

Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor.

- Mathematics for Prediction
- Mathematics for Control
- Mathematics for Organization
**Mathematics is indespensible**

It refers to the middle number if n is odd /even for a ranked order list of numbers.

**Median**- Mean
- Deviation
- Mode

In Polygonal Numbers the Geometric shapes associated with numbers for Triangular numbers is_______________________.

- None of the above.
- n(3n-1)/2
**n(n+1)/2**- n2

At a certain interest compounded semiannually , 5,000 will amount 20,000 in 10 years .What is the amount at the end of 15 years?

- 40,920.23
- 40,000.000
- 40,000.23
**40,029.72**

It refers to given elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair b is the second element .Any two ordered pairs (a,b) and (c,d) are said to be equal if and only if, a=c and b=d.

**Ordered Pair**- Set-Builder Notation
- Set- Roster Notation
- Subset

These are regular, repeated or recurring forms or designs which are commonly observed in natural objects such as six-fold symmetry of snowflakes, hexagonal structure and formation of honeycombs, tiger's stripes and hyena's spots.

- Exponential Growth Model
- Sequence
**Patterns**- Fibonacci Sequence

In how many years will $ 21,136.18 amount to $ 75,514.55 at 27.54 % per annum when compounded quarterly?

- 4.780
- 4.178
**4.781**- 4.871

It is an interest computed based on the original principal during the whole life of investment

- annuity
**simple**- bond
- compound

Sunshine holds two part-time jobs, Job 1 and Job 2. She never wants to work 56 hours a week. If Sunshine makes $99.13 an hour at Job 1, and $56.37 an hour at Job 2, how many hours should she work per week at each job to maximize her income?

- Answer must be rounded off to two decimal places
- Answer: job1=40.00/job2=16.00
- Question 1
- Answer saved
**Marked out of 10.00**- FlaggedFlaggedRemove flag

What kind of correlation shows no linear dependence or no relation between the two variables?

- Linear Correlation
- Positive Correlation
- Negative Correlation
**No Correlation**

It is also referred to as the principal

- maturity value
- amount
**Present value**- annuity

It refers to a statement such that first part assures that a certain object exists and is universal since its second part says that the question fulfills a specific property for everything of a specific kind.

- Universal Conditional Statement
**Existential Universal Statement**- None of the above
- Universal Existential Statement.

It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in B.

- Subset
- Set-Builder Notation
**Cartesian Product**- Ordered Pair

How long will 1,000 amount to 1,346 if invested at 6% compounded quarterly?

- 6 years
- 3 years
- 4 years
**5 years**

It refers to a system of arithmetic for integers, which considers the remainder.

- International Standard Book Number
**Modular Arithmetic**- Universal Product Code
- EAN-12

Once a plan has been devised it must be carried out.

- Understand the Problem
- Review the solution
**Carry out the plan**- Devise a plan
- None of the choices

This sequence is formed by adding the the preceeding two numbers, starting with 0 and 1.

- Patterns
- Exponential Growth Model
- Sequence
**Fibonacci Sequence**

A man borrowed 10,000 and agrees to pay at the end of 90 days under 8% simple interest rate. What is the required amount?

- 10,700
**10,200**- 11,500
- 9,500

Which is regarded as an annuity?

**Monthly rental**- Monthly wage
- Water bill
- Electricity bill

The number of days from April 12,2002 to October 25,2003 using actual time is

- 547
- 451
**561**- 300

Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________.

**Pert**- A
- n(n+1)/2
- n2
- Pn2

It is a connective that results to FALSE only when the antecedent is true and the component is false.

- Biconditional
- Disjunction
**Conditional**- Conjunction

The sum of a two-digit number's digits is 11. When the digits are swapped, the resulting number is 45 less than the original. Find the original number.

**83**- 76
- 73
- 81

Accumulate 5,000 for 10 years at 8% compounded quarterly.

**11,040.20**- 13,876.50
- 10,345.80
- 12,456.30

What do you call the technique used to model the dependency of one dependent variable upon one independent variable?

- Relative frequency
- Normal distribution
- Cumulative frequency distribution
**Simple Linear Regression**

The interest computed on the basis of a 360-day year

**Ordinary interest**- Simple interest
- Compound
- Exact interest

To make predictions mathematical models can generate analysis and interpretation using existing data.

- Mathematics for Organization
- Mathematics is indespensible
- Mathematics for Control
**Mathematics for Prediction**

What kind of annuity whose payment depend on an event that cannot be foretold accurately.

- Deferred Annuity
- Ordinary Annuity
**Contingent Annuity**- Annuity Certain

In Polygonal Numbers the Geometric shapes associated with numbers for square numbers is_______________________.

- None of the above.
- n(n+1)/2
**n2**- n(3n-1)/2

Suppose that a marketing firm conducts a survey of 1,000 households, determine the average number of TVs each household owns. (5pts)

- Answer:
**2.57**

Find the median from a set of numbers divisible by 5 from 1 to 50

- 23.5
**27.5**- 20.4
- 21.7

It represents the interest earned date or coupon date also referred to as coupon annuity payments

- Bond
**Periodic payment**- Borrowed principal
- Annuity

It refers to the middle number if n is odd for a ranked order list of numbers.

- Deviation
- Mean
**Median**- Mode

Sunshine holds two part-time jobs, Job 1 and Job 2. She never wants to work 56 hours a week. If Sunshine makes $99.13 an hour at Job 1, and $56.37 an hour at Job 2, how many hours should she work per week at each job to maximize her income? (10pts)

- Answer must be rounded off to two decimal places
- Answer:
**job1=40.00/job2=16.00**

Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful

- Understand the Problem
- Carry out the plan
- None of the choices
**Devise a Plan**- Review the Solution

Find the quartiles (Q1, Q2, Q3) of the data set shown below: (10pts)

- NO spaces between characters
- Answer format: Q1=22.99/Q2=25.00/Q3=31.21
- Answer:
**Q1=46.50/Q2=74.00/Q3=86.00**

Two functions are said to be equal if and only they have the same set of ordered pairs (x,y).

- Relation
- Variables
- Function
**Equality of Functions**

What do you call the method developed to help solve large, real-world linear programming problems?

**Simplex Method**- Tableaus
- Corner Point Principle
- Northwest Corner Algorithm
- Optimal Production Policy

How long will it take for 500 to accumulate to 2,000 at 12% compounded semi-annually?

- 12.7 years
- 12 years
- 12.5 years
**12.9 years**

Identify which of the statements shown below is NOT an Essential of Linear Programming Models.

- Complexity
**Homogeneity**- Objective
- Limited resources

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