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Easily calculate the interest earned and total balance for savings or investments using the simple interest formula. Find interest rates, principal amounts, and time required in just a few clicks.
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Vocabulary • interest: money paid or earned for the use of money • simple interest: money earned on savings account or investment. It can also be money you pay for borrowing money. It is money paid or earned only on the principal. • principal: the starting amount/ the amount of money borrowed or deposited. • rate: what percent interest is charged
Simple Interest Formula I = Prt Simple Interest = Principal x Rate x Time Write as a decimal. in years
To find total balance Principal + Interest
Example 1 Rebecca put $600 in a savings account. The account earns 3% simple interest per year. What is the interest rate earned after 3 years? I = Prt I = (600) (0.03) (3) I = $54.00
Example 1 Rebecca put $600 in a savings account. The account earns 3% simple interest per year. What is the balance after 3 years? Principal + Interest 600 + 54 $654.00 Rebecca’s savings account has $654.00 in it after 3 years.
To convert Months into years months 12
Example 2 Blake invests $5,000 in bonds for 6 months at an annual interest rate of 7%. How much interest did he earn, and what is the balance in his account? I = Prt 6 12 I = (5,000) (0.5) (0.07) 6 months = 0.5 year I = $175.00
Example 2 What is the balance in his account after 6 months? Principal + Interest 5,000 + 175 $5,175.00 Blake’s account has $5,175.00 in it after 6 months.
Example 3 You put $1,000 in an account. The account earns $80 simple interest in 4 years. What is the annual interest rate? I = Prt 80 = (1,000) (r) (4) Simplify. 80 = 4,000r Divide both sides by 4,000. 0.02 = r 2%
Example 4 How long will Karlie have to leave $5,000 in the bank to earn $500 in simple interest at 2%. I = Prt 500 = (5,000) (0.02) (t) Simplify. 500 = 100t Divide both sides by 100. 5 years 5 = t
Example 5 How much money did Carol borrow from the bank if she owed $45.00 in interest after 10 years with an annual interest rate of 3.5%. I = PRT 45 = (P) (0.035) (10) Simplify. 45 = 0.35P Divide both sides by 0.35. $128.57 = P
Let’s practice • Directions: Find the interest earned AND balance of the account. • $600 at 6% for 3 years • $5,300 at 7.45% for 54 months
Answers • Directions: Find the interest earned AND balance of the account. • $600 at 6% for 3 years • $108.00; $708.00 • 2) $5,300 at 7.45% for 54 months • $1,776.83; $7,076.83
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