LitArk » Books » Science

Klaas Bootsma - New Century Maths 12 Mathematics Standard 2

Here you can read online Klaas Bootsma - New Century Maths 12 Mathematics Standard 2 full text of the book (entire story) in english for free. Download pdf and epub, get meaning, cover and reviews about this ebook. year: 2019, publisher: Cengage, genre: Science. Description of the work, (preface) as well as reviews are available. Best literature library LitArk.com created for fans of good reading and offers a wide selection of genres:

Romance novel Science fiction Adventure Detective Science History Home and family Prose Art Politics Computer Non-fiction Religion Business Children Humor

Choose a favorite category and find really read worthwhile books. Enjoy immersion in the world of imagination, feel the emotions of the characters or learn something new for yourself, make an fascinating discovery.

Book:
New Century Maths 12 Mathematics Standard 2
Author:
Klaas Bootsma / Sarah Hamper / Robert Yen / Margaret Willard
Publisher:
Cengage
Genre:
Books / Science
Year:
2019
Rating:
3 / 5
Favourites:
Add to favourites
Your mark:
- 60
- 1
- 2
- 3
- 4
- 5

Description
Author's other books
Similar books

New Century Maths 12 Mathematics Standard 2: summary, description and annotation

We offer to read an annotation, description, summary or preface (depends on what the author of the book "New Century Maths 12 Mathematics Standard 2" wrote himself). If you haven't found the necessary information about the book — write in the comments, we will try to find it.

Klaas Bootsma: author's other books

Who wrote New Century Maths 12 Mathematics Standard 2? Find out the surname, the name of the author of the book and a list of all author's works by series.

New Century Maths 12 Mathematics Standard 2 — read online for free the complete book (whole text) full work

Below is the text of the book, divided by pages. System saving the place of the last page read, allows you to conveniently read the book "New Century Maths 12 Mathematics Standard 2" online for free, without having to search again every time where you left off. Put a bookmark, and you can go to the page where you finished reading at any time.

Light

Font size:

↓

↑

Reset

Interval:

↓

↑

Bookmark:

Make

state : See write

substitute : replace a variable by a number and

evaluate

verify : check that a solution or result is correct,

usually by substituting back into the equation or

referring back to the problem

write , state : give the answer, formula or result

without showing any working or explanation

(This usually means that the answer can be found

mentally, or in one step.)

ISBN 9780170413633

Mathematical verbs

CHAPTER OUTLINE

F1.1*

1.01

Simple interest

F4.1

1.02

Compound interest

F4.1

1.03

Inflation and appreciation

F4.1

1.04

Investing in shares

F4.1

1.05

Share tables and graphs

F1.1*

1.06

Straight-line depreciation

F4.2

1.07

Declining-balance depreciation

*Year 11 revision

FINANCIAL MATHEMATICS

INTEREST AND

DEPRECIATION

People once kept their savings under the mattress or in an old tin before they started using

banks. Todays investors are more informed about financial planning and more likely to

invest in the share market, a superannuation fund or property rather than leaving money in

a low-interest saving account. More than half of all Australians own shares, often through a

superannuation fund.

iStock/Getty Images Plus/MillefloreImages

IN THIS CHAPTER YOU WILL:

calculate simple interest using I = P r n , where P is the principal, r is the interest rate per period as

a decimal and n is the number of periods

calculate the future value (final amount), compound interest rate and present value (principal)

using the formula FV = PV (1 + r ) n where FV is the final value, PV is the present value, r is the

interest rate per compounding period as a decimal and n is the number of compounding periods

compare simple interest and compound interest, and compare different investment strategies

apply the formula FV = P V ( + r ) n to problems involving inflation and appreciation

record and graph the price of a share over time

calculate the dividend paid on a shareholding and the dividend yield (excluding franked

dividends)

calculate the salvage value and the depreciation of an asset using the straight-line method and

the declining-balance method.

TERMINOLOGY

appreciation

compound interest

dividend

future value ( F V )

period

quarterly

simple interest

SkillCheck

Assignment 1

Find:

5% of $456

3.75% of $78

Evaluate each expression correct to decimal places.

3400 ( . )

( . )

Increase $15 by 8%.

Decrease $985 by 5%.

Decrease $2440 by 12%.

Increase $10 by 8% and then decrease by 10%.

Copy and complete each statement.

6.4% p.a. = _______ % per quarter

If A = P ( + r ) n , find:

A if P = 8400, r = 0.0125, n =

P if A = 600, r = 0.005, n =

Janelle received a cent dividend for each of her shares.

How much did Janelle receive ?

If each share is worth $37.50, express the cent dividend as a percentage of

the share value, correct to 2 decimal places.

4.5% p.a. = _______% per half year

4.8% p.a. = ______ % per month

9% p.a. = ______% per month

4.2% of $12

( . )

brokerage

declining-balance method

dividend yield

inflation

present value

( P V

)

salvage value

stockbroker

compounded

depreciation

final value

market price

principal

shareholder

straight-line method

NCM 12. Mathematics Standard 2

ISBN 9780170413633

1.01 Simple interest

Interest is money earned on an investment, or money charged on a loan, with a bank,

credit union or other financial institution. Simple interest (or flat-rate interest ) is interest

calculated as a percentage of the principal (the amount of money invested or borrowed).

Simple interest

I = Prn

where I = interest

P = principal or initial amount

r = interest rate per period , expressed as a decimal

n = number of periods

EXAMPLE 1

Simple interest

riddle

Simple interest

Applications

of simple

interest

Whats the

interest?

p.a. means per annum (or per year).

Simple interest

Dilnoor invested $20 at 3.85% p.a. flat interest for months.

Calculate the simple interest Dilnoor earned.

Solution

P = $20 600, r =

0.0385

I = Prn

per month, n = 17 months

= $20 600

0.0385

= $1123.5583

$1123.55

r and n are expressed in the same units (months).

Interest earned is always rounded

down to the nearest cent.

ISBN 9780170413633

Interest and depreciation

EXAMPLE 2

Julia invested $25 in a term deposit at a simple interest rate of 5.2% p.a.

How long was the term deposit if the amount of interest Julia earned was $2311.40 ?

Solution

I = $2311.40, P = $25 400, r = 0.052

I = Prn

$2311.40 = $25 400 0.052 n

$2311.40 = $1320.8 n

n =

$2311.40

$1320.8

= 1.75 years

= 1 year 9 months

EXAMPLE 3

Tuan borrowed $11 over years at 14% p.a. simple interest to buy a home cinema

system.

How much interest does Tuan have to

p a y ?

What amount does she repay

a l t o g e t h e r ?

What is Tuans monthly

p a y m e n t ?

Solution

P = $11 200, r = 0.14, n =

I = Prn

= $11 0.14

= $4704

Amount to repay = $11 + $4704

= $15

Monthly payments = $15

= $441.777

$441.78

principal + interest

3 years = 3 12 = 36 months

Payments are always rounded up

to the nearest cent.

0.75 years = 0.75 12 months = 9 months

NCM 12. Mathematics Standard 2

ISBN 9780170413633

Exercise 1.01 Simple interest

Alana invested $12 at a simple interest rate of 7.2% p.a. for years. Calculate the

interest earned.

Calculate the simple interest earned from each investment.

$4250 for years at 3.65% p.a.

$35 at 5.5% p.a. for months

$48 at 2.85% p.a. for days

$3678 for 3

years at 2% p.a.

Georgia invests $2800 for year and months at a flat interest rate of 4.8% p.a. What is

Light

Font size:

↓

↑

Reset

Interval:

↓

↑

Bookmark:

Make

Similar books «New Century Maths 12 Mathematics Standard 2»

Look at similar books to New Century Maths 12 Mathematics Standard 2. We have selected literature similar in name and meaning in the hope of providing readers with more options to find new, interesting, not yet read works.

Richard Elwes

Maths 1001: Absolutely Everything That Matters About Mathematics in 1001 Bite-Sized Explanations

The Maths Book: Big Ideas Simply Explained

Klaas Brian

The Despots Accomplice

Macaro Antonia

The 30-Second Maths: the 50 Most Mind-Expanding Theories in Mathematics, Each Explained in Half a Minute

Klaas Steytler

Ons Oorlog

Klaas Armster

Reclaimed Wood

Timothy Revell

Man vs Maths: Understanding the Curious Mathematics That Power Our World

Kjartan Poskitt

Murderous Maths: The Most Epic Book of Maths EVER

Gaurav Tekriwal

Maths Sutra: The Art of Vedic Speed Calculation

Richard J. Brown (ed.)

30-Second Maths: The 50 Most Mind-Expanding Theories in Mathematics, Each Explained in Half a Minute

Cheng

Cakes, custard and category theory : easy recipes for understanding complex mathematics

Linda Pound

Teaching Mathematics Creatively

Reviews about «New Century Maths 12 Mathematics Standard 2»

Discussion, reviews of the book New Century Maths 12 Mathematics Standard 2 and just readers' own opinions. Leave your comments, write what you think about the work, its meaning or the main characters. Specify what exactly you liked and what you didn't like, and why you think so.