Answer:
A) The the Price of house after 2 years is $160,472
B) The price of house after 2 years is $ 200,225.52
Step-by-step explanation:
Given as :
A) The initial price of house is $154,300
The percentage increase = 4%
The time period = 2 years
So, [tex]Increase Amount = Initial amount\times ( 1 +\frac{Rate}{100})^{Time}[/tex]
or, [tex]Increase Amount = $154,300\times ( 1 +\frac{4}{100})^{2}[/tex]
Or, [tex]Increase Amount = $154,300\times ( 1.04})^{2}[/tex]
∴ Increase Amount = $ 160,472
Hence The the Price of house after 2 years is $160,472
B) The initial price of house is $178,200
The percentage increase = 6%
The time period = 2 years
So, [tex]Increase Amount = Initial amount\times ( 1 +\frac{Rate}{100})^{Time}[/tex]
Or, [tex]Increase Amount = 178,200\times ( 1 +\frac{6}{100})^{2}[/tex]
Or, [tex]Increase Amount = $178,200\times ( 1.06})^{2}[/tex]
∴ Increase Amount = $ 200,225.52
Hence The price of house after 2 years is $ 200,225.52 Answer