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ysabel0420
10.12.2020 •
Mathematics
Which of the following is the best environment in which to observe impacts of the founder effect?
A) the North American great plains
B) the Amazon rainforest
C) small Pacific islands
D) deserts
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Ответ:
Part A:
Linear function
Part B:
House 1; f(x) = 7595.3·x + 178515
House 2; f(x) = 11,000·x + 179000
Part C:
Yes, there will be a significance difference
The value of house 1 after 30 years is $406,374
The value of house 2 after 30 years is $509,000
Step-by-step explanation:
The given values are
House 1
Year 1, 186,160
Year 2, 193606.40
Year 3, 201350.66
We see that the prices of the houses have a common difference given as follows;
201,350.66 - 193606.40 = 7744.26,
193,606.40 - 186,160 = 7446.4
Which is fairly constant giving a linear function of the house after a fixed number of years
House 2
Year 1, 190,000
Year 2, 201,000
Year 3, 212,000
We see that the prices of the houses have a common difference given as follows;
212,000 - 201,000 = 11,000,
201,000 - 190,000 = 11,000
Which is fairly constant
Which is fairly constant giving a linear function of the house after a fixed number of years
Part B:
The function for the first house is given by the regression formula from regression analysis
Y = a + b·X
Where:
X = Value of the house at Year Y
Y = The year
Which gives;
f(x) = 7595.3·x + 178515
The function for the first house is given by the arithmetic progression also by regression analysis as follows;
f(x) = 11,000·x + 179000
Part C
The value of house 1 after 30 years = 7595.3×30 + 178515 = $406,374
The value of house 2 after 30 years = 11,000×30 + 179000 = $509,000
Yes, there will be a significance difference between house 2 and house 1 to about 509,000 - 406,374 = $102,626.