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# Mathematics in the Modern World

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

## conjunction

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

• r=-0.9550

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

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

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

• Complexity
• Homogeneity
• Objective
• Limited resources

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

• Question 10
• Marked out of 5.00
• Not flaggedNot flaggedFlag question

It is also referred to as the principal

• maturity value
• amount
• Present value
• annuity

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

• 240
• 228
• 230
• 227

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

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

• Patterns
• Fibonacci Sequence
• Exponential Growth Model
• Sequence

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

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

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

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

• ordinary annuity
• annuity due
• contingent annuity
• deferred annuity

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

• 90
• 88
• 40
• 78

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

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

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

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

• TFFTFTFTFTTFTFTFTFFTFTFTFTFTFTFT
• FFTTFTFTFTTFTFFFTFFTFTFTFTFTFTFF
• TTTTFTFTFTTFTFFFTFFTFTFTFTFTFTFF
• TTTTFTFTFTTFTFTFTFFTFTFTFTFTFTFT

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 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.

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.

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

• Patterns
• Exponential Growth Model
• Sequence
• Fibonacci Sequence

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

• T-score
• Ratio
• Standard deviation
• Z-score

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

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

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

• Deviation
• Mean
• Median
• Mode

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

• 15
• 10
• 20
• 5

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
• Question 1
• Marked out of 10.00
• FlaggedFlaggedRemove flag

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

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

• Ordinary interest
• Simple interest
• Compound
• Exact 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 B.

• Subset
• Set-Builder Notation
• 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

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

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

• 0
• 1
• 3
• 4

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

It refers to the bond rate or coupon rate

• Compound value
• Effective ratel
• Present value
• Nominal rate

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

• Ayaka=25/Joshua=13

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

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

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

• 10.55
• 12.12
• 11.33
• 14.10

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

• 21.7
• 27.5
• 20.4
• 23.5

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

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

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

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

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

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

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

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

• 11,040.20
• 13,876.50
• 10,345.80
• 12,456.30

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

• 2.57

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

• Pert
• A
• n(n+1)/2
• n2
• Pn2

The mode for the data in #5 is

• 12
• 9
• none
• 10

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

• 11.33
• 14.10
• 10.55
• 12.12

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

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

• Question 9
• Marked out of 5.00
• FlaggedFlaggedRemove flag

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

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

• Mean
• Mode
• Median
• Deviation

Who established and developed Linear Programming?

• Friedrich Hayek
• Karl Marx
• Leonid Kantorovich

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

It is a sequence of equal payments made at equal periods

• Interest
• Bond
• Annuity
• Compound interest

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

• Biconditional
• Disjunction
• Conditional
• Conjunction

The total amount the borrower would need to repay a loan

• Compound value
• Principal
• Maturity value
• Present value

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

• 12.20%
• 12.4%
• 12.30%
• 12.25%

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

• Median
• Mean
• Deviation
• Mode

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

• Deferred Annuity
• Ordinary Annuity
• Contingent Annuity
• Annuity Certain

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 square numbers is_______________________.

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

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

• Ratio
• Golden Ratio
• Exponential Growth Model
• Patterns

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

• annuity
• simple
• bond
• compound

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

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

• 1196

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

• Bond
• Periodic payment
• Borrowed principal
• Annuity

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

• Linear Correlation
• Positive Correlation
• Negative Correlation
• No Correlation

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

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

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

• Deferred Annuity
• Compound Interest
• Simple Interest
• Annuity Due

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

• Polygonal Numbers
• Deductive reasoning
• Inductive reasoning
• Conjecture

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

• 30.77

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

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

• contingent annuity
• deferred annuity
• ordinary annuity
• annuity due

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 largest interest can be obtained when compounded.

• quarterly
• semi-annually
• monthly
• annually

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

Annuity where payment is done at the end of the term

• Deferred annuity
• Ordinary annuity
• Exact annuity
• Annuity due

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

• Fibonacci Sequence
• Sequence
• Patterns
• Exponential Growth Model

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

• 25 years
• 20 years
• 15 years
• 10 years

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

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

The median for the data in #5 is

• 11
• 15
• 12
• 10

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
• Marked out of 1.00
• Not flaggedNot flaggedFlag question

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

• Feasible Region
• Matrix Region
• Reinmann's Region
• Axiom Region

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 process of determining the current value of a bond

• Bond evaluation
• Bond validation
• Bond determination
• Bond interest

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

• 18,000
• 12,000
• 11,000
• 15,000

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

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

• Question 1
• Complete
• Mark 1.00 out of 1.00
• Not flaggedFlag question

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

• 2144.00
• 1,875.000
• 1987.00
• 2,244.00

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

• NO spaces between characters
• Q1=46.50/Q2=74.00/Q3=86.00

The time between successive interest computation

• Approximate time
• Exact time
• Compounding period
• Regression period

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

• 23.5
• 27.5
• 20.4
• 21.7

It is the numbers in a sequence separated by commas.

• Sequence
• Term
• Conjecture
• None of the Above

Which covers the longest time?

• 20 months
• 100 weeks
• 800 days
• 1.5 years

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

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

• 6 years
• 3 years
• 4 years
• 5 years

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

• 547
• 451
• 561
• 300

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

• Deviation
• Mean
• Median
• Mode

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

• 13.76%
• 13.45%
• 13.52%
• 13.65%

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

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

• Deductive reasoning
• Inductive reasoning
• Term Numbers
• Polygonal Numbers

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

• 2.57

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

• 1%
• 4%
• 2%
• 3%

It is found by assuming each month to be 30 days

• Simple time
• Approximate time
• Exact time
• Ordinary time

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

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

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

• Corner Point Principle
• Northwest Corner Algorithm
• Simplex Method
• Optimal Production Policy

Which is regarded as an annuity?

• Monthly rental
• Monthly wage
• Water bill
• Electricity bill

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 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

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

• 1
• 3
• 2
• 6

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

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

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

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

• Annuity certain
• Ordinary annuity
• Contingent Annuity
• Annuity due

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 largest interest can be obtained when compounded

• annually
• monthly
• semi-annually
• quarterly

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

• NO spaces between characters
• Question 2
• Marked out of 1.00
• Not flaggedNot flaggedFlag question

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

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 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

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

• 135
• 130
• 128
• 125

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

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

• Positively skewed
• Kurtic
• Normal
• Skewed

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

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