The exponential decay model can be determine by performing exponential equation.
The correct answer is (b) [tex]y=38,976(0.965)^t[/tex].
Given:
Invested amount is [tex]\$ 38,976[/tex].
Investment decrease rate is [tex]3.5\%[/tex].
Number of year is [tex]t=3 \:\rm year[/tex].
Convert the decreased rate in to decimal.
[tex]100-3.5\%= 96.5 \%=0.965[/tex]
Calculate the amount decreased in three year.
[tex]\rm Amount=38,976 \times 0.965 ^ 3 \\\rm Amount= 35,025.08[/tex]
If investment decreased with same rate then equation would be as follows.
[tex]y=35,025.08 \times 0.965 ^ t[/tex]
Where [tex]t[/tex] is year of decreased.
Thus, the correct answer is (b) [tex]y=38,976(0.965)^t[/tex].
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