Annual Simple Interest Formula I = Prt where: I = simple interest P = principal r = rate t = term in years
Maturity (Future) Value F = P + I where F = maturity (future) value P = Principal I = simple interest or F = P (1+rt) where F = maturity (future) value P = Principal r = rate t = term/time in years
Illustrative example 1 . A bank offers 0.25% annual simple interest rate for a particular deposit. How much interest will be earned if 1 million pesos is deposited in the savings account for 1 year? P = 1,000,000 r = 0.25% = 0.0025 t = 1 year Given: Convert percentage to decimal form by dividing it to 100
Find: I I= Prt I= (1,000,000) (0.0025) (1) I= 2,500 Solution: Use the formula for Simple Interest Substitute the given values and solve for the simple interest
Illustrative example 2 . How much interest is charged when ₱50,000 is borrowed for 9 months at an annual simple interest rate of 10%. Given: r= 10% = 0.10 t = 9/12 year = 0.75 year P = 50,000 Convert percentage to decimal form by dividing it to 100 Convert months to year
Find: I I = Prt Solution: I = (50,000) (0.10) (0.75) I = 3,750 Use the formula for Simple Interest Substitute the given values and solve for the simple interest
Illustrative example 3 . When invested at an annual interest rate of 7% , an amount earned ₱ 11,200 of simple interest in two years. How much money was originally invested? Given: r= 7% =7/100 =0.07 t= 2 years I = 11,200 Convert percentage to decimal by dividing it to 100
Find: P Solution: P = 11, 200 (0.07) (2) P = I rt I = Prt P = 80,000 The amount invested is ₱ 80,000 Rearrange the formula for simple interest Substitute the given values and solve for the simple interest
A bank offers 0.25% annual simple interest rate for a particular deposit. How much interest will be earned if 1 million pesos is deposited in this savings account for 1 year? ACTIVITY