In physical education class, Ariel shoots free throws and lay-ups. She earns 1 point for each free throw she makes and 2 points for each lay-up she makes. The greatest number of points that she can earn is 30. She has to make at least 15 free throws and lay-ups altogether. One of the inequalities would be 1x + 2y < 30 where x represents the number of free throws made and y represents the number of lay-ups made. Write the other inequality for the system of inequalities that describes the constraints.

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.

Ily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 11 3x – 4 = 3x + 4 how can her partial solution be interpreted?

Find the value of x. give reasons to justify your solutions! h ∈ ig