Q2. Luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the numbers on each pair of cards and calculates the lowest common multiple (LCM) of the four sums. For example, the

pairs could have been

{7,3}, {2,6}, {5,1}, {8,4}.

In this case, the pair sums would have been 10, 8, 6, 12 respectively,

giving an LCM of 120. Pair sums are not necessarily different.

a) If Luke obtained an LCM of 24, find two different ways in which the

cards could have been paired.

b) Explain why Luke could not obtain an LCM of 39.

c) Luke now takes 20 cards numbered 1 to 20. Show how the cards can

be paired to give an LCM of 60.

d) Luke now takes six cards numbered 1 to 6 but he groups them into

two sets of three. He finds the sums of the numbers in each triple and

then finds the LCM of these two triple sums. What is the smallest

LCM he can obtain?

This needs to be done quick you are studying different function tools and begin working with this function y=-160-9(x) use the equation to answer the question y=-160-9(x) what is the y value when x equals -13? y=-160-9(x)

Calculate the monthly payment for a $2,500 loan at 9% annual interest for two years. use the formula, m = pm(1 + m)^na/(1 + m)^na - 1 as needed. a. $85.15 b. $105.40 c. $114.21 d. $125.72 calculate the total payback for a $2,500 loan at 9% annual interest for two years. use the formula, m = pm(1 + m)^na/(1 + m)^na - 1 as needed. a. $1,021.80 b. $1,370.52 c. $2,043.60 d. $2,741.04 alice wants to use the stack method to pay down her debts listed in the table below. if she applies an extra $150 a month to her debts, what will be the second debt she targets to pay off and what will be the monthly amount she applies to it? debts interest rate minimum monthly payment debt 1 5.5% $75 debt 2 2.75% $250 debt 3 13.25% $150 a. debt 1, $225 b. debt 1, $375 c. debt 3, $300 d. debt 3, $400 at greenbrier bank, checking account customers earn 0.8% interest a month on their account balances, pay a $0.10 service fee per check, and pay a monthly $2.00 financial charge. calculate the income earned on the checking account for a customer who writes 21 checks and maintains a minimum balance of $1,210. a. $4.27 b. $5.58 c. $6.42 d. $7.35 which statement most accurately compares debit and credit cards? a. both cards deduct from funds currently in a checking account. b. both cards use funds temporarily loaned from a financial institution. c. both cards are processed by the same card system services. d. both carry the risk of overdraft.

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.