The apartment which is brought by the Smiths be worth equal to the $84368.8 in 3 years.
Percentage increase is the amount which is added into the the initial value in the percentage part.
The percentage increase can be calculated with the compound interest formula, which is,
[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]
Here, A is the final amount (initial plus increased amount) on the initial amount P of with the rate r of in the time period of t.
The smiths brought a apartment for 75000. assuming that the value of the apartment will appreciate at most 4% a year.
Time period is 3 years. Thus the final amount of apartment after 3 years is,
[tex]A=75000\times\left(1+\dfrac{4}{100}\right)^{3}\\A=84.364.8[/tex]
Thus, the apartment which is brought by the Smiths be worth equal to the $84368.8 in 3 years.
Learn more about the compound interest here;
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