5. Translate Phrases into Mathematics

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来自 University of London 的课程

Quantitative Foundations for International Business

163 个评分

University of London

Quantitative Foundations for International Business

163 个评分

课程 3（共 6 门，Specialization International Business Essentials）

This course provides the essential mathematics required to succeed in the finance and economics related modules of the Global MBA, including equations, functions, derivatives, and matrices. You can test your understanding with quizzes and worksheets, while more advanced content will be available if you want to push yourself. This course forms part of a specialisation from the University of London designed to help you develop and build the essential business, academic, and cultural skills necessary to succeed in international business, or in further study. If completed successfully, your certificate from this specialisation can also be used as part of the application process for the University of London Global MBA programme, particularly for early career applicants. If you would like more information about the Global MBA, please visit https://mba.london.ac.uk/. This course is endorsed by CMI

从本节课中

Equations

Although financial models are theoretical frameworks, we often use mathematical tools to work with these models. Mathematical models usually consist of a set of equations, which are designed to describe the structure of the model, and whose solution determines the importance of variables. This week, we will look at equations, including the basic terminology, and the rules for solving equations requiring more than one operation.

Equations- An Introduction3:33

1. Variables, Constants and Parameters6:14

2. The Real Number System6:08

3. Basic Rules7:34

4. Like Terms3:12

5. Translate Phrases into Mathematics6:22

6. Working with Business Formulas5:30

7. Ratio and Proportion6:25

Equations- Summary2:42

与讲师见面

George Kapetanios
Professor of Finance and Econometrics
King's College London

[MUSIC]

Sometimes we need to solve word problems.

In these cases it is very important to properly translate the words

expressions into mathematical expressions.

For example, let's see how to write the following verbal expressions

as mathematical expressions by using x to represent the unknown quantity.

Notice that, other letters can also be used in order

to represent this unknown quantity.

We need write 3 plus a number, this means 3+x.

Where x represents the number and the word plus indicates addition.

If we say add 3 to a number, this means x+3,

where x represents the number and

the word add indicates addition.

If we need to write the sum of a number and 9,

this means x + 9, where x represent the number and

there were some indicates addition.

If we say 2 more than a number, this means x + 2.

Where x represents the number and more than indicates addition.

Let's see another example of translating verbal expressions into

mathematical expression by using p as a variable

If we need to write 2 less than a number, this means p- 2.

Where p represents the number and less than indicates subtraction.

If we need to write a number decreased by 17,

this means p-17,

where p represents the number and decreased by indicates subtraction.

If we need to write 7 fewer than p,

this means p- 7, where p represents the number and

fewer than indicates subtraction.

Another example of translating variable expression to mathematical expression,

by using y as the variable is the product of a number and

3, which means 3y, where y represents the number and

the word product indicates multiplication.

4 times a number Means 4y where y

represents the number the word

times indicates multiplication.

2/3 of a number, it means 2/3y where y represents the number and

2/3 of indicates multiplication.

The quotient of a number and 2, it's y/2,

where y represents the number and the word quotient, indicates division.

The sum of 4 in a number,

is multiplied by 7,

it means 7(4+y).

In this case, we need to include the (4+y).

7 is multiplied by the difference

of an unknown number and 18,

which means 7(y- 18).

Also in this case we need to include (y- 18).

Let's look at another example and translate.

The product of 5 and a number increased by 8 is 100, into an equation.

Then, let's solve the equation.

Let us use the letter y as the variable and

translate as follow.

5 x (y + 8)=100.

Now, we need to solve our equation.

We need first to simplify, and after complete the solution of the equation.

So first of all we get 5y plus 40,

which is 5 times y plus 5 times 8 equal to 100.

And after, we can solve the equation by

subtracting 40 from both sides of the equation.

Then we have 5y + 40- 40= 100- 40.

Which is 5y = 60.

At the end, we need to divide 5y by 5, and 100 by 5.

And then we get y = 20 which is our solution.

[MUSIC]

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