Mathematics in the Modern World

GE6114  Mathematics in the Modern World

Population growth and bacterial decay can be modeled by the exponential growth or decay formula.	Exponential Growth Model
Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________.	A=Pert
Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor.	Mathematics is indespensible
It is an ordered list of numbers called terms that may have repeated values.	Sequence
Natural objects and phenomenon behave by the underlying mathematical structure. Interactions and relationships of nature can be best described by mathematical equations	Mathematics for Control
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.	Patterns
A lot of events happening around us needed mathematical tools to help us in make sound analysis and better decisions.	Mathematics for Organization
This sequence is formed by adding the the preceeding two numbers, starting with 0 and 1.	Fibonacci Sequence
To make predictions mathematical models can generate analysis and interpretation using existing data.	Mathematics for Prediction
The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers.	Golden Ratio
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.	Existential Universal Statement
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.	Universal Existential Statement.
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.	Relation
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
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
Two functions are said to be equal if and only they have the same set of ordered pairs (x,y).	Equality of Functions
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,	Subset
It refers to denoting a set by enumerating all of its elements between braces.	Set- Roster Notation
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.	Function
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.	Cartesian Product
In Polygonal Numbers the Geometric shapes associated with numbers for square numbers is	n2
Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________.
It is the numbers in a sequence separated by commas.	It is the numbers in a sequence separated by commas.
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
Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful:	Devise a plan
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.	Review the solution
To be able to solve a problem, understanding what the problem asks for is very important.	Understand the problem
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,	Subset
In Polygonal Numbers the Geometric shapes associated with numbers for Pentagonal numbers is_______________________.	n(3n-1)/2
The type of reasoning where a conclusion is made by means of specific examples.	Inductive reasoning
The type of reasoning where a conclusion is made by applying assumptions, procedures or principles.	Deductive reasoning
It refers to the sum of the numbers divided by n.	Mean
The median for the data in #5 is	11
It refers to the number that occurs most frequently in a list of numbers.	Mode
The mean for data set: 10,12,15,16.,8, 7 is 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	Least-squares regression line
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.	Frequency distribution
The mode for the data in #5is	None
It refers to a collection of numbers or values that relate to a particular subject.	Data set
It refers to the middle number if n is odd for a ranked order list of numbers.	Median
It is used to convert any formal distribution into the standard normal curve between them.	Z-score
In Polygonal Numbers the Geometric shapes associated with numbers for Triangular numbers is_______________________.	n(n+1)/2
In Polygonal Numbers the Geometric shapes associated with numbers for square numbers is_______________________.	n2
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 ~	Cartesian Product
Once a plan has been devised it must be carried out.	Carry out the plan
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
It refers to the middle number if n is odd /even for a ranked order list of numbers.	Median
It is a bell-shaped curve that is symmetric when you draw a vertical line through the mean.	Normal
The time between successive interest computation	Compounding period
The number of days from April 12,2002 to October 25,2003 using actual time is	561
The largest interest can be obtained when compounded.	Monthly
It is found by assuming each month to be 30 days	Approximate time
It is an interest computed based on the original principal during the whole life of investment	Simple
The interest computed on the basis of a 360-day year	Ordinary interest
It is an interest computed based on the original principal during the whole life of investment	Simple
The interest computed on the basis of a 360-day year	Ordinary interest
The total amount the borrower would need to repay a loan	Maturity value
It is also referred to as the principle	Present value
The maturity value of a loan of Php 10,000 and interest half of the principal	15,000.
How many conversion periods are there for an amount of 1000 compounded quarterly for 5 years	10
Find the interest rate on 6800 for 3 years at 11% simple interest .	2,244.00
It is one whose payment depend on an event that cannot be foretold accurately.	Contingent annuity
How long will 4,000 to 14,000 at a simple interest rate of 12.5% ?	20 years
The compound amount when 2,000 is invested at 10% compounded every 6 months for 2 years.	2,431.01
If 16,000 earns 480 in 9 months ,what is the annual rate of interest?	4%
The actual number of days between May 4 and Sept 6 of the same year is	125
It represents the interest earned date or coupon date also referred to as coupon annuity payments	Periodic paymen
It is a sequence of equal payments made at equal periods	Annuity
Which covers the longest time?	800 days
What rate compounded quarterly is equivalent to 14% compounded semiannually?	13.76%
It is one which payment begin and end at fixed times.	Annuity certain
What is the annual rate of interest if 265 is earned in four months on an investment of 15,000.00?	5.3%
The present worth of 20,000 with simple interest of 12% due in 9 months is	18,348.62
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
The largest interest can be obtained when compounded.	Monthly
The process of determining the current value of a bond	Bond validation
Accumulate 5,000 for 10 years at 8% compounded quarterly.	11,040.20
How long will 1,000 amount to 1,346 if invested at 6% compounded quarterly?	5 years
Which is regarded as an annuity?	Monthly rental
How much must be invested today in order to have 15,500 in 2 years if money is worth 12% simple interest?	12,500.00
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	Bond
It is an amount where the borrower is obliged to pay before the bond is surrendered to the borrower.	Final redemption value
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?	2,433.33
What is the present worth of a Php 1000 annuity over a 10-year period if interest rate is 8%?	6710.00
It refers to the bond rate or coupon rate	Nominal rate
If money is worth 4% compounded monthly ,what payment at the end of each quarter will replace payments of Php 500.00 monthly	1,505.00
What rate compounded annually will double any sum in 6 years?	12.25%
Annuity where payment is done at the end of the term	Ordinary annuity
The actual time in days from May 1 to Dec 15 of the same year is	228
It is one whose payment depend on an event that cannot be foretold accurately.	contingent annuity
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?	40,029.72
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?	10,200
How long will it take for 500 to accumulate to 2,000 at 12% compounded semi-annually?	12.9
A loan of Php 2000 is made for a period of 13 months at asimple interestrate of 20%.What is the maturity value?	2,433.33
An investment earns 4% compounded monthly. Find the value of an initial investment of P5,000 after 6 years.	P635371
Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful:	Devise a plan
The actual number of days between May 4 and Sept 6 of the same year is	125
The actual time in days from May 1 to Dec 15 of the same year is	228
The compound amount when 2,000 is invested at 10% compounded every 6 months for 2 years.	2,431.01
The exactsimple intereston 5,000 for the period of January 15 to November 28,1992 if the interest rate is 22%	955.74
The interest computed on the basis of a 360-day year	Ordinary interest
The largest interest can be obtained when compounded.	Monthly
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	Least-squares regression line
The maturity value of a loan of Php 10,000 and interest half of the principal	15,000.
The mean for data set: 10,12,15,16.,8, 7 is	1133
The mean for data set: 10,12,15,16.,8, 7 is 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	11.33 Least-squares regression line
The median for the data in #5 is	11
The median for the data set: 10,12,15,16,8, 7 is	11
The median for the data: 10,12,15,16,8, 7 is	11
The mode for the data in #5is	None
The mode for the data set: 10,12,15,16,8, 7 is	none
The mode for the data: 10,12,15,16,8, 7 is	none
The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers.	Golden Ratio
The number of days from April 12,2002 to October 25,2003 using actual time is	561
The present worth of 20,000 with simple interest of 12% due in 9 months is	18,348.62
To make predictions mathematical models can generate analysis and interpretation using existing data.	Mathematics for Prediction
What is the present value of  Php 1000 payable every three months for  10-years. If money is worth 8% compounded quarterly.	2735548