Ahouse that costs $200,000 will appreciate in value by 3% each year. write a function that models the cost of the house over time. use x for years, and y for the value of the house, in dollars. find the value of the house at the end of ten years.

Rewrite the hyperbolic equation 4y^2 -9x^2 +54x-8y-113=0

What is the value of x when x + 7 = 21?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.