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Topic 6.3

Last updated over 5 years ago

4 questions

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Question 1

1.

A savings account earns interest at an annual rate of 3.5%, compounded monthly. If the account begins with a principal amount of $5000, what will its value be after 4 years?

Question 2

2.

A mass of carbon-14 atoms decays in such a way that half disappear every 5730 years. What portion of a 10kg mass of atoms will remain after 9000 years?

Question 3

3.

A pendulum is released and the length of each swing of the pendulum is measured. A table
of values showing the results is given below.

Write an equation that relates the number of swings, x, and the distance of each swing, y.

Question 4

4.

The 2000 US census found that the population of the USA was approximately 281.4 million people. In 2010, the new census put the total population at 309.3 million people. Assuming the population of the USA shows exponential growth, predict what the population will be in the 2020 census, in millions of people