Simple & Compound Interest, Growth & Decay (CIE IGCSE Maths: Extended)

Dean invests $500 for 10 years at a rate of 1.7% per year simple interest.
 
Calculate the total interest earned during the 10 years.
 

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Boris invests $550 at a rate of 2% per year simple interest.
 
Calculate the value of the investment at the end of 10 years.

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Dina invests $600 for 5 years at a rate of 2% per year compound interest.

Calculate the value of this investment at the end of the 5 years.

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Scott invests $500 for 7 years at a rate of 1.5% per year simple interest.
 
Calculate the value of his investment at the end of the 7 years.
 

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The population of a city is increasing exponentially at a rate of 2% each year.
The population now is 256 000.

Calculate the population after 30 years.
Give your answer correct to the nearest thousand.

Roland invests $12 000 in an account that pays compound interest at a rate of 2.2% per year.

Calculate the value of his investment at the end of 6 years.
Give your answer correct to the nearest dollar.

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Sara invests $500 for 15 years at a rate of 2% per year simple interest.

Calculate the total interest Sara receives.

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Marlene invests $550 at a rate of 1.9% per year compound interest.
 
Calculate the value of the investment at the end of 10 years.
 

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The population of a village decreases exponentially at a rate of 4% each year.
The population is now 255.

Calculate the population 16 years ago.

The population of the Earth in 2017 was estimated to be 7.53 × 10⁹.
The population of the Earth in 2000 was estimated to be 6.02 × 10⁹.
Assume that the population of the Earth increased exponentially by % each year for these 17 years.
 
Find the value of .
 

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Edna invests $500 at a rate of % per year compound interest.
At the end of 6 years, the value of Edna’s investment is $559.78.
 
Find the value of .
 

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The value of the campsite has increased exponentially by 1.5% every year since it opened 30 years ago. 

Calculate the value of the campsite now as a percentage of its value 30 years ago.
 

 ............................................. %

The value of Dhanu’s model railway is $550.
This value increases exponentially at a rate of % per year.
At the end of 5 years the value will be $736.

Calculate the value of .

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Hans invests $550 at a rate of % per year compound interest.
At the end of 10 years, the value of the investment is $638.30, correct to the nearest cent.

Find the value of

= ..............................................

The population of a village is 6400.
The population is decreasing exponentially at a rate of  per year.
After 22 years, the population will be 2607.
 
Find the value of .
 

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The number of a particular newspaper sold decreases exponentially by each year.
Over a period of 21 years the number of newspapers sold decreases from to .

Calculate the value of . 
 

= ..............................................

A bacteria population increases exponentially at a rate of % each day.
After 32 days, the population has increased by 309%.

Find the value of .
 

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Over a period of 3 years, a company’s sales of biscuits increased from 15.6 million packets to 20.8 million packets.
The sales increased exponentially by the same percentage each year.

Calculate the percentage increase each year.

............................................ %

Tomas has two cars.