Answers

Question 1 (5 points) Find all possible values (or valid values) that x can be (Domain) for the equation (You may also state what x cannot be - use any means necessary to find the answers).

See Answers - x cannot be 0, x can be all positive values and when x < 0 we cannot have x = a rational number a/b, where b is even (get the square root of a negative number)..

Attempts to answer this problem will be given full credit (assigned to get you to play around with your calculator and to think beyond what you see).

Question 2 (5 points) A family member borrowed $400 from you and promised to repay you without interest by February 14th, 2004. The family member signed a contract with you that stated the following: "If you fail to pay the $400 owed on time you must add to the original loan 40 cents after the 1st month past due, 80 cents after the second month past due, $1.60 after the 3nd months past due, $3.20 after the 4th month past past due, $6.40 after the 5th month past due and so on." Assume that the family member does not repay the loan, when (minimum time) will he or she first owe you at least $1,000,000? (State the month and year).

Table of values: Amount owed each month, m overdue after Feb. 14, 2004, m = 0

m	0	1	2	3	4	5	6	7	8
$	$0.00	$0.40	$0.80	$1.60	$3.20	$6.40	$12.80	$25.60	$51.20
	Feb. 04	Mar 04	Apr 04	May 04	Jun 04	Jul. 04	Aug. 04	Sep. 04	Oct. 04
m	9	10	11	12	13	14	15	16	17
$	$102.40	$204.80	$409.60	$819.20	$1,638.40	$3,276.80	$6,553.60	$13,107.20	$26,214.40
	Nov. 04	Dec 04	Jan 05	Feb. 05	Mar 05	Apr 05	May 05	Jun 05	Jul. 05
m	18	19	20	21	22	23
$	$52,428.80	$104,857.60	209,715. 2	$419,430.40	$838,860.80	$1,677,721.60
	Aug. 05	Sep. 05	Oct. 05	Nov. 05	Dec 05	Jan 06

Let m be months past due, $ be the additional owed above the $400

So expect to collect $1,000,000 after 23rd months past due a total of $400 + $1,677,721.60

= $1,678,121.60 (Jan 14th, 2006)