Percents.

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Presentation transcript:

Percents

Percent Change A percent change indicates how much a quantity increases or decreases with respect to the original amount. When an amount increases from its original amount, it is called a percent increase.  When an amount decreases from its original amount, it is called a percent decrease.

Original amount: $12 New amount: $4 Percent Change Identify the percent change as an increase or decrease. Then find the percent of change. A store charges $12 for a shirt. The price of the shirt decreased to $4 at the end of season. Solution: The percent change is a decrease since the new amount is less than the original amount. Original amount: $12 New amount: $4 The percent decrease is 75%. The sale price is 25% of the regular price.

Percent Change Identify the percent change as an increase or decrease. Then find the percent of change. A buyer for a store purchases jeans at $50 each. He plans to sell them for $60 each. Solution: The percent change is an increase since the new amount is greater than the original amount. Original amount: $50 New amount: $60 The percent increase is 20%. The price of the jeans increased 20%.

Percent Change The price of a token to ride a subway is $1.50. Next month, the price of a token will be $1.95. Find the percent change. Solution: The percent change is an increase since the new amount is greater than the original amount. Original amount: $1.50 New amount: $1.95 The percent increase is 30%. The price of the token will increase 30%.

Original amount: $13.98 New amount: $10.00 Percent Change A CD that costs $13.98 is on sale for $10. Find the percent change. Round your answer to the nearest percent. Solution: The percent change is a decrease since the new amount is less than the original amount. Original amount: $13.98 New amount: $10.00 The percent increase is 28%. The sale price is 72% of the regular price.

The price to remodel a bathroom in 2012 is $17,700. Percent Change If the original amount and the percent of change are known, you can find the new amount. For a percent change increase, multiply the original amount by 100% + the percent of change. The price to remodel a bathroom is $15,000 in 2010. In 2012, the price to remodel had increased by 18%. Find the price to remodel a bathroom in 2012. Solution: The new price is an increase from the original price. To find the new price, multiply 15,000 by (100+18)%. The price to remodel a bathroom in 2012 is $17,700.

The sale price of the skirt is $17.50. Percent Change For a percent of change decrease, multiply the original amount by 100% minus (–) the percent of change. The price of a skirt is $25. Find the sale price if the store is having a $30% off sale. Solution: The sale price is a decrease from the original price. To find the sale price, multiply 25 by (100 – 30)%. The sale price of the skirt is $17.50.

The amount of interest earned is $960. Simple Interest To calculate simple interest, use the formula I = prt, where I = interest, p = principal, r = interest rate, and t = time in years. I = prt Find the amount of interest earned on an investment of $4,000 at 8% for 3 years. Solution: The amount of interest earned is $960.

The amount of interest earned is $420. Simple Interest To calculate simple interest, use the formula I = prt, where I = interest, p = principal, r = interest rate, and t = time in years. I = prt Find the amount of interest earned on an investment of $3,500 at 3% for 4 years. Solution: The amount of interest earned is $420.

Simple Interest You can work backward to find the principal if you know the interest earned, the interest rate, and the amount of time invested. I = prt  You earned $120 interest on an investment. How much did you originally invest if the interest rate was 5% interest for 2 years? Solution: The amount of the original investment was $1,200.

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