Finite Mathematics : Finite Mathematics

Study concepts, example questions & explanations for Finite Mathematics

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Example Questions

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Example Question #1 : Linear Equations And Graphs

A pig's age , in human years , is described by the following function. 

In human years , how old is a four year old pig?

Possible Answers:

Correct answer:

Explanation:

To calculate the age of the pig in human years, first recall the equation that given in the question.

Now, identify the known information given in the question.

Since the pig is four years old, the mathematical statement is

Next, substitute in this value into the equation to calculate the human age.

Therefore, the four year old pig is twelve years old in human years.

Example Question #1 : Linear Equations And Graphs

Graph the function.

Possible Answers:


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Correct answer:


Screen shot 2016 05 11 at 1.06.53 pm

Explanation:

To graph the function

,

create an  table to find values and then plot those values on a coordinate grid and connect the points.

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Example Question #1 : Linear Equations And Graphs

Which of the following is true of the lines of the equations

and

Possible Answers:

The lines are parallel.

The lines intersect at one and only one point.

The lines coincide.

Correct answer:

The lines are parallel.

Explanation:

is in slope-intercept form.

To get

in slope-intercept form, add to both sides, then multiply both sides by , as follows:

 

The system can thus be stated as

The slope of each line is x-coefficient ; the lines have different y-intercepts. This makes them distinct parallel lines.

Example Question #1 : Simple Interest

What is the total interest made after 4 years on a simple interest loan that accumulates 13% each year and has original amount was $1350.

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first recall the formula to calculate simple interest.

where

From the question it's known that,

Thus the equation becomes,

Therefore $702 in interested accumulated after four years.

Example Question #1 : Mathematics Of Finance

Money is deposited in a bank account at 7% interest per year, compounded bimonthly. If no money is deposited into or withdrawn from the account, then how long will it take for the money to double?

Possible Answers:

9 years 6 months

10 years 2 months

9 years 10 months

10 years 0 months

9 years 8 months

Correct answer:

10 years 0 months

Explanation:

If is deposited in a bank account with interest rate ( converted to a decimal) compounded times a year for years, then the final balance of the account is

Dividing both sides of the formula by , this is

The money doubles, so substitute 2 for . Also, set and (bimonthly), and calculate as follows:

, so this is 9 years and 11.52 months; rounding up to the next bimonth, this is 10 years even.

Example Question #1 : Systems Of Linear Equations: Matrices

Find the value of  when,

.

Possible Answers:

Correct answer:

Explanation:

To find the value of  when,

 first multiply six and seven together.

Now, recall that mod means the remainder after division occurs.

In this case

       

 

--------------

       

Therefore, the remainder is two.

Example Question #1 : Systems Of Linear Equations: Matrices

The following tables describe matrix operations.

         

Calculate the following using the tables from above.

Possible Answers:

Correct answer:

Explanation:

This question is testing the matrix operation. Remember to use order of operations and perform the algebraic operation that is inside the parentheses first.

First look at the # table.

Multiplying % by % results in *.

Now go to the $ table and multiply * by %.

Therefore,

Example Question #3 : Systems Of Linear Equations: Matrices

Find the value of  when,

.

Possible Answers:

Correct answer:

Explanation:

To find the value of  when,

 first multiply three and nine together.

Now, recall that mod means the remainder after division occurs.

In this case

       

 

--------------

       

Therefore, the remainder is three.

Example Question #1 : Finite Mathematics

Give the determinant of .

Possible Answers:

Correct answer:

Explanation:

The determinant of a two-by-two matrix

can be found by evaluating the expression

Substitute the corresponding elements to get

.

Example Question #1 : Systems Of Linear Equations: Matrices

Consider the system of linear equations:

What kind of system is this?

Possible Answers:

Inconsistent

Dependent

Consistent and independent

Correct answer:

Consistent and independent

Explanation:

One way to identify whether the matrix is consistent and independent is to form a matrix of its variable coefficients, and calculate its determinant. The matrix is

The determinant of a two-by-two matrix

can be found by evaluating the expression

Substitute the corresponding elements to get

Since ,

it follows that the system is consistent and independent.

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