JarretteWhitaker
21.05.2021 •
Mathematics
Which of the following is equivilent to tan(5π/6)? tan(7π/6), cot(5π/6), tan(-π/6), or tan(-5π/6)
Solved
Show answers
More tips
- P Philosophy Agnosticism: Opinion or Belief?...
- C Computers and Internet How to Calibrate Your Monitor: Useful Tips and Recommendations...
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- A Auto and Moto How to Start a Diesel Engine in Cold Weather?...
- A Auto and Moto Which alarm system to choose?...
- P Photography and Videography What is lens calibration and why is it needed?...
- S Science and Technology How to Choose a Picture Frame: Tips and Recommendations...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
Answers on questions: Mathematics
- M Mathematics What is 4.333333333 as a fraction. i need this answer right...
- M Mathematics Find a basis for the null space of the given matrix a. a = 3 2 3 −1 2 3 2 0 1 4 1 1 3 1 −1 1...
- M Mathematics Acar used 11.4 gallons of gas on a 324.9 mile trip. how many miles can this car travel on one gallon of gas?...
- M Mathematics You can tell if a sequence converges by looking at the first 1000 terms. a. true b. false...
- M Mathematics Expand and simplify ( m + 7 )( m + 3 )...
- M Mathematics Help, please the question and thank you...
- M Mathematics The Ramos family baked 4 loaves of cornbread to eat with dinner and sliced each loaf into 6 equally sized slices. Maria Ramos ate 2 slices, her brother ate 5 slices,...
- M Mathematics Write points (-6,3) and (6, -7) in a) Identify the slope b) Write the equation in slope-point form c) Write the equation in slope-intercept form d) Write the equation...
- M Mathematics Please help! 1.8x≤13.5 Solve the inequality...
- M Mathematics Timing was curious if quadrilaterals LMNR and PQNO were similar so he tried to map one figure onto the other using a rotation and a dilation...
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.