Math in Modern World Quiz to Final Exam PDF

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Created by: Kuys GaiusNote for Prelim!Dalawa ang tanong na lalabas na ganito“Population growth and bacterial decay can be modeled by the exponential growth ordecay formula __________________. To perfect Prelim if 2 questions na ganto ang lumabas sagutin nyo yung first ng ang choices is A tapos yung ...

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Created by: Kuys Gaius Note for Prelim! Dalawa ang tanong na lalabas na ganito

“Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________. To perfect Prelim if 2 questions na ganto ang lumabas sagutin nyo yung first ng ang choices is A tapos yung next ng Pert

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 __________________. A It is the numbers in a sequence separated by commas. Term 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 11.33

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 #5 is 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 The total amount the borrower would need to repay a loan Maturity value

It is also referred to as the principal 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 payment 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 49. It is one whose payment depend on an event that cannot be foretold accurately. contingent annuity

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 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 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...