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Published byKarissa Broadstreet Modified over 2 years ago

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Simple and Compound Interest

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Simple Interest Interest is like “rent” on a loan. You borrow money (principal). You pay back all that you borrow plus more (interest). Interest is a percent (rate)of the amount borrowed (principal). Interest = principal x rate x time (in years) Typically used in loans for new cars.

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Example 1 Find the simple interest paid annually for 2 years on $900 at 16% per year.

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Example 2 After 3 months the simple interest earned annually on an investment of $7000 was $63. Find the interest rate.

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Compound Interest This is interest earned or paid on both the principal and previously earned interest.

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A is the final amount P is the principal r is the interest rate expressed as a decimal n is the number of times the interest is compounded t is the time

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$1500 is invested at a rate of 3.5% compounded annually for 4 years YearsInterest earnedAmount in account 00$1500 11500 x 0.035 x 1$1552.50 21552.50 x 0.035 x 1$1606.84 31606.84x0.035x1$1663.08 41663.08x0.035x1$1721.29

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Example 3 Find the amount in an account with $700 invested at a rate of 7.2% compounded quarterly for 2 years.

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Example 4 $28,000 invested at a rate of 4% compounded semi annually for 5 years.

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Find the amount after 7 years if $100 is invested at an interest rate of 13% per year if it is a. compounded annually b. compounded quarterly.

Find the amount after 7 years if $100 is invested at an interest rate of 13% per year if it is a. compounded annually b. compounded quarterly.

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