Section 3.1 Check Deposit Withdrawal Interest ATM Transaction Fee Basic Checking Account Most widely used. Do not pay interest. Limited number of checks per month. Interest-bearing Checking Account Pay interest. Minimum balance. Free Checking Account No minimum balance or monthly fee. Can be charged for checks. Joint Checking Account Checking account owned by more than 1 person. You currently have a balance of $2,300 in your checking account. You deposit a $425.33 paycheck, a $20 rebate check, and a personal check for $550. You want to receive $200 in cash. How much will be in your account? You depositing total of 795.33 Totalare Amount BeingaDeposited: Add this amount your original balance: = 425.33 + 20 + to 550 ==2,300 + 795.44 $995.44 = 3,095.33 Subtract the cash received You have a new balance of $3,095.33 in your = 995.33 - 200 checking account = 795.33 Page 120, 2-10 We are going to create algebraic expressions to express transactions in checking accounts Money going into your account • → Deposit Money going out of your account • → Withdrawal You have a total of d dollars in your account. You make a cash deposit of x dollars and deposit 5 checks worth y dollars. You would like $250 cash back. Express this as an algebraic expression. Starting Balance: d Deposits: x 5y Withdrawals: 250 Algebraic Expression: d + x + 5y - 250 You have a total of m dollars in your account. You make cash deposits of $225, p dollars, and $85. You also cashed a check for t dollars and one for $100. Write an algebraic expression for this. Starting Balance: m Deposits: 225 p 85 Withdrawals: t 100 Algebraic Expression: m + 225 + p + 85 – t - 100 = m + p + 210 - t You and your parents have a joint checking account. Your starting balance was $5,000. During the month, you made deposits of m dollars, wrote checks totaling $2,850, paid a maintenance fee of f dollars, and earned i dollars in interest. Starting Balance: $5,000 Deposits: m i Withdrawals: 2,850 f Algebraic Expression: 5,000 + m + i – 2,850 – f = m + i + 2,150 - f You open a checking account. In October, you had deposits totaling $1,478 and wrote checks totaling $855. You pay a maintenance fee of $12 and earn interest of $2. At the end of the month, you have $2,192. What was your starting balance? Starting Balance: x Deposits: 1,478 2 → 1,480 Withdrawals: 855 12 → 867 Algebraic Expression: x + 1480 – 867 = 2,192 → x = $1,579 Page 120, 2-10 2. Jackie deposited a $865.98 paycheck, a $623 stock dividend check, a $60 rebate check, and $130 cash into her checking account. Her original balance was $278.91. How much is in her account? Starting Balance: $278.91 Deposits: $865.98 $623 $60 $130 In her account now: 278.91 + 865.98 + 623 + 60 + 130 = $1,957.89 3. Rich has t dollars in his checking account. On June 3, he deposited w, h, and v dollars, and cashed a check for k dollars. Write an algebraic expression representing this. Starting Balance: t Deposits: w h v Withdrawals: k Algebraic Expression: t+w+h+v-k 4. John cashed a check for $630. The teller gave him three fifty-dollar bills, eighteen twenty-dollar bills, and t ten dollar bills. What is the value of t. Starting Balance: $630 Three fifties: $150 Eighteen twenties: $360 Amount paid in tens: 630 – 150 - 360 = 120 $120 in tens would be 12 tens 5. Gary and Ann have a joint checking account. Their balance at the beginning of Oct. was $9,145.87. During the month they made deposits totaling $2,783.71, wrote checks totaling $4,871.90, paid a maintenance fee of $12, and earned $11.15 in interest. Starting Balance: $9,145.87 Deposits: $2,783.71 $11.15 Withdrawals: $4,871.90 $12 Final Balance: $7,056.83 6. Anna has a checking account. Her balance at the beginning of February was $5,195.65. During the month, she made deposits totaling $6,873.22, wrote checks totaling c dollars, paid a maintenance fee of $15, and earned $6.05 in interest. Her balance was $4,200. What is c? Starting Balance: 5,195.65 Deposits: 6,873.22 6.05 c = $7,859.92 Withdrawals: c 15 5,195.65 + 6,873.22 + 6.05 – c -15 = 4,200 7. Queens bank charges a monthly fee of $13 and a check writing fee of $0.07 per check. Last year, Mark wrote 289 checks. What was the total of all his fees? Maintenance: $13 / month → $156 / year Checks: $0.07 x 289 → $20.23 Total: $156 + $20.23 → $176.23 8. Joby had $421.56 in her checking account when she deposited g twentydollar bills and k quarters. Write an expression for this. Starting Balance: $421.56 Deposits: g twenty-dollar bills → 20g k quarters: → 0.25k Expression: 421.56 + 20g + 0.25k 9. Neka cashed a check for $245. The teller gave him two fifty-dollar bills, six twenty-dollar bills, and f five-dollar bills. What is the value of f? Check amount: $245 Two fifty-dollar bills: $100 Six twenties: $120 Remaining Amount: $25 Five dollar-bills: $5 10. Olivia cashed a check for $113. The teller gave her four twenty-dollar bills, x ten-dollar bills, and three-one dollar bills. What is the value of x? Check amount: $113 Four twenties: $80 Three ones: $3 Remaining Amount: $30 Ten dollar-bills: $3