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SIMPLE AND COMPOUND INTEREST
Since this section involves what can happen to your money, it should be of INTEREST to you!
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Warm Up: Find 6% of $400. Find 5% of $2,000. Find 4.5% of $700.
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Warm Up: Find 6% of $400. Find 5% of $2,000. Find 4.5% of $700.
$24 $100 $31.50 $17.88
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Simple Interest vs. Compound Interest
Interest earned on the principal investment Earning interest on interest Principal is the original amount of money invested or saved
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I = PRT IMPLE INTEREST FORMULA Annual interest rate Interest paid
Time (in years) Principal (Amount of money invested or borrowed)
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Simple Interest Equation: Step 1
(Principal) r (Interest Rate) t (Time Period) I (Interest Earned) 1,000 .07 5 350.00 $1,000 invested at 7% interest rate for 5 years
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If you invested $ in an account that paid simple interest, find how long you’d need to leave it in at 4% interest to make $10.00. enter in formula as a decimal I = PRT 10 = (200)(0.04)T 1.25 yrs = T Typically interest is NOT simple interest but is paid semi-annually (twice a year), quarterly (4 times per year), monthly (12 times per year), or even daily (365 times per year).
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COMPOUND INTEREST FORMULA
annual interest rate (as a decimal) Principal (amount at start) time (in years) amount at the end number of times per year that interest in compounded
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4 (2) .08 500 4 Find the amount that results from $500 invested at 8% compounded quarterly after a period of 2 years.
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4 (2) .08 500 4 Find the amount that results from $500 invested at 8% compounded quarterly after a period of 2 years.
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Smart Investing OR Which would you choose?
An investment earning compound interest An investment earning simple interest OR Largest return
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