Suppose a computer that costs $3000 new is only worth $600 after 3 years. What is the average annual rate of depreciation?
The average annual rate of depreciation is $800.
Given a computer that costs $3000 new is only worth $600 after 3 years.
The statement as an arithmetic sequence can be written as: $3000, ? , ? , $600.
The nth term of an arithmetic sequence is given by .
Since there are two arithmetic means between $3000 and $600,
The first term is
And the fifth term is
Plugging the values in the formula:
Hence the common difference is -800.
i.e. every year the value is reduced by $800
Hence, the average annual rate of depreciation is $800.
To prove that objects of different weights fall at the same rate, Galileo dropped two objects with different weights from the Leaning Tower of Pisa in Italy. The objects hit the ground at the same time. When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight. How many feet would an object fall in the tenth second?
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