Savings Accounts Unit 3.3

OBJECTIVES 3-3 SAVINGS ACCOUNTS Banking 9/22/2018 3-3 SAVINGS ACCOUNTS OBJECTIVES Learn the basic vocabulary of savings accounts. Compute simple interest using the simple interest formula. Chapter 1

Key Terms Savings Account Simple Interest Simple Interest Formula Bank Account whereby interest is earned Calculated on the principal only I = prt p = principal r = Annual Interest Rate t = Number of years

Key Terms Money Market Account Certificate of Deposit (CD) Checking Account that has restrictions but generates interest Investment where interest is guaranteed upon maturity

Key Operations Convert Interest Rates into decimals 4 ¼ % = 4.25 = 0.0425 5 5/8% = 5.625 = 0.05625

What types of savings accounts do banks offer customers? What banking services does your family use? Where does the money that banks lend out for loans come from? What is the value of compound interest? What are the advantages of direct deposit?

Example 1 Grace wants to deposit $5,000 in a certificate of deposit for a period of two years. She is comparing interest rates quoted by three local banks and one online bank. Write the interest rates in ascending order. Which bank pays the highest interest for this two-year CD? First State Bank: 4 % E-Save Bank: 4 % Johnson City Trust: 4.22% Land Savings Bank: 4.3%

CHECK YOUR UNDERSTANDING Write the following five interest rates in descending order (greatest to least): 5.51%, 5 %, 5 %, 5.099%, 5.6%

Example 2 Raoul’s savings account must have at least $500, or he is charged a $4 fee. His balance was $716.23, when he withdrew $225. What was his balance?

CHECK YOUR UNDERSTANDING Mae has $891 in her account. A $7 fee is charged each month the balance is below $750. She withdraws $315. If she makes no deposits or withdrawals for the next x months, express her balance algebraically.

EXAMPLE 3 Mitchell deposits $1,200 in an account that pays 4.5% simple interest. He keeps the money in the account for three years without any deposits or withdrawals. How much is in the account after three years?

CHECK YOUR UNDERSTANDING How much simple interest is earned on $4,000 in 3½ years at an interest rate of 5.2%?

EXAMPLE 4 How much simple interest does $2,000 earn in 7 months at an interest rate of 5%?

CHECK YOUR UNDERSTANDING How much simple interest would $800 earn in 300 days in a non-leap year at an interest rate of 5.71%? Round to the nearest cent.

EXAMPLE 5 How much principal must be deposited to earn $1,000 simple interest in 2 years at a rate of 5%?

CHECK YOUR UNDERSTANDING How much principal must be deposited in a two-year simple interest account that pays 3¼% interest to earn $300 in interest?

EXAMPLE 6 Derek has a bank account that pays 4.1% simple interest. The balance is $910. When will the account grow to $1,000?

How long will it take $10,000 to double at 11% simple interest? CHECK YOUR UNDERSTANDING How long will it take $10,000 to double at 11% simple interest?

EXAMPLE 7 Kerry invests $5,000 in a simple interest account for 5 years. What interest rate must the account pay so there is $6,000 at the end of 5 years?\

CHECK YOUR UNDERSTANDING Marcos deposited $500 into a 2.5-year simple interest account. He wants to earn $200 interest. What interest rate must the account pay?