2. Compound Interest: a. A tithe of $35,000 is made to a local church. The money is to be invested and the
accumulated amount used to purchase a new youth group bus. How long will it take for the tithe to double in value if the money is invested at 7.75% APR compounded
monthly? Hint: Use TVM Solver
b. What is the annual interest rate (APR) required for $22,500 to accumulate to $50,000 in 14 years with interest compounded semi-annually?
c. What is the present value or Principal, that will return $40,000 in a Guaranteed
Investment Certificate (GIC) in 9 years at 4 ¼ % APR compounded quarterly?
Hint: you can use Compound Interest Formula or TVM Solver

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

12 3 4 5 6 7 8 9 10 time remaining 42: 01 ryan gathered data about the age of the different dogs in his neighborhood and the length of their tails. which best describes the strength of the correlation, and what is true about the causation between the variables?