UGRD-GE6114 Mathematics in the Modern World (Final Quiz 1 and 2) PDF

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UGRD-GE6114 Mathematics in the Modern World Thisfile iscreated by: Clementine Grace Lennox (Our Leader) Patrick Jhon G. Secuelan (Assistant Leader) MarkusLennox ( Followers) Javier Garcia (Followers ) Join me on Patreon only 5$ to join to see 18+Content (Adult Content) Link to join: https://www.patreon.com/bearinthenight Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________.

A=Pe

Exponential Growth Model

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

Fibonacci Sequence

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

Mathematics for Organization

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

Mathematics for Control

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

Mathematics for Prediction

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

Patterns

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.

Golden Ratio

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

Mathematics is indespensible

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

Exponential Growth Model

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

A=Pert

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

Sequence

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

Mathematics for Control

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

Function

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.

Ordered Pair

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.

Cartesian Product

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.

Equality of Functions

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

Existential Universal 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.

Relation

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.

Universal Existential 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 Conditional Statement

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".

Set- Roster Notation

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

Subset

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,

Review the solution

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.

Subset

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,

n2

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

Carry out the plan

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

A

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

Understand the problem

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

Set-Builder Notation

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 xin S such that P(x) is true. The set is denoted as follows: { x ∈ S| P(x)}

Deductive reasoning

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

Universal Existential 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.

Pert

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

Term

It is the numbers in a sequence separated by commas.

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

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.

Patterns

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.

Mathematics is indespensible

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

Mathematics for Organization

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

The correct answers are: Pn2, A, Pert

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

Equality of Functions

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

Cartesian Product

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.

Existential Universal 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.

Fibonacci Sequence

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

n2

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

Set-Builder Notation

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

Sequence

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

Exponential Growth Model

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

Mathematics for Prediction

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

Ordered Pair

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.

Carry out the plan

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

Inductive reasoning

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

Golden Ratio

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

Mathematics for Control

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

Term

It is the numbers in a sequence separated by commas.

Review the solution

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.

Universal Conditional Statement

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".

Set- Roster Notation

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

Cartesian Product

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 ~

n(n+1)/2

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

Deductive reasoning

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

Devise a plan

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

Function

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.

n(3n-1)/2

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

Universal Existential 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.

Subset

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,

Ordered Pair

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.

Mean

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

11

The median for the data in #5 is

Ordinary interest

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

12.25%

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

Median

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

6710

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

5 years

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

Nominal rate

It refers to the bond rate or coupon rate

228

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

11,040.20

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

Frequency distribution

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.

Data set

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

Maturity value

The total amount the borrower would need to repay a loan

20 years

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

Bond

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

none

The mode for the data in #5 is

2,244.00

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

monthly

The largest interest can be obtained when compounded.

contingent annuity

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

Annuity

It is a sequence of equal payments made at equal periods

40,029.72

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?

15,000

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

Present value

It is also referred to as the principal

5.30%

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

Least-squares regression line

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

Compounding period

The time between successive interest computation

11.33

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

Bond validation

The process of determining the current value of a bond

Periodic payment

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

12,500.00

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

Annuity certain

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

Monthly rental

Which is regarded as an annuity?

Z-score

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

800 days

Which covers the longest time?

955.74

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

Final redemption value

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

2,433.33

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?

13.76%

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

simple

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

Mode

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

12.9 years

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

4%

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

Approximate time

It is found by assuming each month to be 30 days

Ordinary annuity

Annuity where payment is done at the end of the term

10,200

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

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

1,505.00

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

125

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

contingent annuity

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

18,348.62

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

2,431.01

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

Bonus Question: The number of days from April 12,2002 to October 25,2003 using actual time is. Ans: 561...