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Published bySybil Atkinson Modified over 9 years ago
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Calculating Simple & Compound Interest
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Simple Interest Simple interest (represented as I in the equation) is determined by multiplying the interest rate by the principal by the number of periods. (Same amount every year)
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Simple Interest equation: I = Prt Principal sum (P)- The initial amount of money invested or borrowed (ie. $10, 000) Interest rate (r)- The amount charged or given to the principal sum (ie. 5%) Interest period (t)- The number of years you plan to invest or borrow (ie. 5 years)
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Let’s try it Tim, a grade 9 student at Preston High school received $1000 from his grandma for his birthday. After learning about savings in his BBI class, he decides to go to his bank and put the money into a savings account at an interest rate of 3% annually until he goes to university in 4 years. Calculate the simple interesting using the simple interest equation: I=Prt
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I = Prt P = $1000 r= 3% annually t= 4 years I = 1000 x 0.03 x 4 = 120 Therefore Tim will have made $120 in interest over the 4 years resulting in a total of $1120.
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Compound Interest Interest calculated on the amount saved or borrowed plus any interest already accumulated
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Calculating Compound Interest, using the Tim example from before Principal (P)Interest (Pxr) Total 1000= 1000 x.03 = 30 = 1030 1030= 1030 x.03 = 30.90 = 1060.90 1060.90= 1060.90x.03 = 31.83 = 1092.73 1092.73= 1092.73 x.03 = 32.78 = 1125.51
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