Abby and Jason are building a new house. They obtained a construction loan of $100,000, which will be rolled over into a conventional 20-year mortgage when the house is completed in 14 months. Simple interest of$$$\frac{1}{2}$% per month will be charged on the construction loan. The 20-year mortgage will carry a 6% interest rate with monthly payments. What is the monthly payment that Abby and Jason will make? If they make each payment as scheduled for the life of the 20-year mortgage, how much total interest will they pay on the house?

Determine the cubic function that is obtained from the parent function $y=x^{3}$ after each sequence of transformations. a vertical stretch by a factor of $\frac{5}{3};$ a reflection across the x-axis; a vertical translation 4 units down; and a horizontal translation 3 units right

Solve the equation using the Quadratic Formula. Round your solutions to the nearest tenth, if necessary.

$$9 x ^ { 2 } - 6 x + 1 = 0$$

Rose recently graduated in engineering. Her employer will give her a raise of $6500 per year if she passes the FE exam (Fundamentals of Engineering). (a) Over a career of 45 years, what is the present worth of the raise if the interest rate is 4%? (b) What is the future worth at Year 45? (c) Incentive pay systems can create ethical dilemmas in the workplace. Describe one each from the perspective of the employer and the employee.

Identify the common characteristics of the graphs of power functions in which the power functions in which the power is an even number.

Argue that a set $A$ is a $G _ { \delta }$ set if and only if its complement is an $F _ { \sigma }$ set.

Use set notation to describe the following sets. The sphere of radius 4 centered at (1, 0, -1)

Determine the total differential of the functions

$$f (x, y) = x^2 y^3$$

Find the two square roots of each number. 324

The concentration of carbon dioxide (

$$CO_2$$

) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use

$$CO_2$$

to fuel photosynthesis, more

$$CO_2$$

may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra

$$CO_2$$

to a 30-meter circle of forest. We want to compare the growth in base area of trees in treated and untreated areas to see if extra

$$CO_2$$

does in fact increase growth. We can afford to treat three circular areas. -Areas within the forest may differ in soil fertility. Describe a matched pairs design using three pairs of circles that will reduce the extra variation due to different fertility. Sketch the circles and carry out the randomization your design calls for.

In adding or subtracting rational expressions, why is the L in LCD significant?

Explain what is meant by "data snooping.'

Factor out the common factor. y(y - 6) + 9(y - 6)

Beginning in 1996, a glacier lost an average of 3.7 meters of thickness each year. Find the total change in its thickness by the end of 2012.