PPT Lecture
advertisement
MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 5 1 5% = = = 0.05 100 20 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 5 1 5% = = = 0.05 100 20 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 5 1 5% = = = 0.05 100 20 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 5 1 5% = = = 0.05 100 20 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 5 1 5% = = = 0.05 100 20 To change a percent to a decimal, drop the percent sign and move the decimal 2 places to the left. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 5 1 5% = = = 0.05 100 20 To change a percent to a decimal, drop the percent sign and move the decimal 2 places to the left. ππ% = π. ππ MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 5 1 5% = = = 0.05 100 20 To change a percent to a decimal, drop the percent sign and move the decimal 2 places to the left. To change a decimal to a percent, move the decimal 2 places to the right and add the percent sign. ππ% = π. ππ MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. PERCENT means “per hundred” so… 25 1 25% = = = 0.25 100 4 5 1 5% = = = 0.05 100 20 To change a percent to a decimal, drop the percent sign and move the decimal 2 places to the left. ππ% = π. ππ To change a decimal to a percent, move the decimal 2 places to the right and add the percent sign. π. ππ = ππ% MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT What is 35% of 140? MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT What is 35% of 140? PERCENT X BASE = AMOUNT MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT What is 35% of 140? 35% written as a decimal PERCENT X BASE = AMOUNT 0.35 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT What is 35% of 140? PERCENT X BASE = AMOUNT 0.35 X MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT What is 35% of 140? PERCENT X BASE = AMOUNT 0.35 X 140 What you are taking a percent of MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT What is 35% of 140? PERCENT X BASE = AMOUNT 0.35 X 140 = AMOUNT MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT What is 35% of 140? PERCENT X BASE = AMOUNT 0.35 X 140 = AMOUNT 49 = AMOUNT MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT What is 35% of 140? PERCENT X BASE = AMOUNT 0.35 X 140 = AMOUNT 49 = AMOUNT So, 35% of 140 is 49. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? PERCENT X BASE = AMOUNT MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? 18% written as a decimal PERCENT X BASE = AMOUNT 0.18 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? PERCENT X BASE = AMOUNT 0.18 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? PERCENT X BASE = AMOUNT 0.18 X BASE = 63 We are looking for the ‘of’ number (the base) so 63 must be the AMOUNT. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? PERCENT X BASE = AMOUNT 0.18 X BASE = 63 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? PERCENT X BASE = AMOUNT 0.18 63 X BASE = 63 π΅π΄ππΈ = = 350 0.18 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? PERCENT X BASE = AMOUNT 0.18 63 X BASE = 63 π΅π΄ππΈ = = 350 0.18 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 63 is 18% of what number? PERCENT X BASE = AMOUNT 0.18 63 X BASE = 63 π΅π΄ππΈ = = 350 0.18 So, 63 is 18% of 350. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? PERCENT X BASE = AMOUNT MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? PERCENT X BASE = AMOUNT PERCENT X 640 What you are taking a percent of MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? PERCENT X BASE = AMOUNT PERCENT X 640 = MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? PERCENT X BASE = AMOUNT PERCENT X 640 = 288 We are looking for the percent so 288 must be the AMOUNT. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? PERCENT X BASE = AMOUNT PERCENT X 640 = 288 288 ππΈπ πΆπΈππ = = 0.45 = 45% 640 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? PERCENT X BASE = AMOUNT PERCENT X 640 = 288 288 ππΈπ πΆπΈππ = = 0.45 = 45% 640 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? PERCENT X BASE = AMOUNT PERCENT X 640 = 288 288 ππΈπ πΆπΈππ = = 0.45 = 45% 640 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation Quick review of some basic facts about percent. BASIC PERCENT EQUATION: PERCENT X BASE = AMOUNT 288 is what percent of 640? PERCENT X BASE = AMOUNT PERCENT X 640 = 288 288 ππΈπ πΆπΈππ = = 0.45 = 45% 640 So, 288 is 45% of 640. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. For example, if Jane’s salary went from $40,000 last year to $50,000 this year, then the AMOUNT of change is MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. For example, if Jane’s salary went from $40,000 last year to $50,000 this year, then the AMOUNT of change is $50,000 β $40,000 = $10,000 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. For example, if Jane’s salary went from $40,000 last year to $50,000 this year, then the AMOUNT of change is $50,000 β $40,000 = $10,000 To calculate the PERCENT change, just divide the AMOUNT of change by the original salary (the base). MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. For example, if Jane’s salary went from $40,000 last year to $50,000 this year, then the AMOUNT of change is $50,000 β $40,000 = $10,000 To calculate the PERCENT change, just divide the AMOUNT of change by the original salary (the base). So, Jane’s PERCENT INCREASE in salary is: MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. For example, if Jane’s salary went from $40,000 last year to $50,000 this year, then the AMOUNT of change is $50,000 β $40,000 = $10,000 To calculate the PERCENT change, just divide the AMOUNT of change by the original salary (the base). So, Jane’s PERCENT INCREASE in salary is: $50000 − $40000 $10000 = = 0.25 = 25% $40000 $40000 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. For example, if Jane’s salary went from $40,000 last year to $50,000 this year, then the AMOUNT of change is $50,000 β $40,000 = $10,000 To calculate the PERCENT change, just divide the AMOUNT of change by the original salary (the base). So, Jane’s PERCENT INCREASE in salary is: $50000 − $40000 $10000 = = 0.25 = 25% $40000 $40000 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. For example, if Jane’s salary went from $40,000 last year to $50,000 this year, then the AMOUNT of change is $50,000 β $40,000 = $10,000 To calculate the PERCENT change, just divide the AMOUNT of change by the original salary (the base). So, Jane’s PERCENT INCREASE in salary is: $50000 − $40000 $10000 = = 0.25 = 25% $40000 $40000 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, we first must calculate the AMOUNT of change. For example, if Jane’s salary went from $40,000 last year to $50,000 this year, then the AMOUNT of change is $50,000 β $40,000 = $10,000 To calculate the PERCENT change, just divide the AMOUNT of change by the original salary (the base). So, Jane’s PERCENT INCREASE in salary is: $50000 − $40000 $10000 = = 0.25 = 25% $40000 $40000 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, This we first must calculate the AMOUNT leads us to the following result: of change. For example, ifπππ€ Jane’s salary went fromππππππππ $45,000 last year to π΄πππ’ππ‘ − π΅ππ π π΄πππ’ππ‘ πππππππ‘ $50,000 = this year, then the AMOUNT of change is πΆβππππ ππππππππ π΄πππ’ππ‘ $50,000π΅ππ π β $40,000 = $10,000 To calculate the PERCENT change, just divide the AMOUNT of change by the original salary (the base). So, Jane’s PERCENT INCREASE in salary is: $50000 − $40000 $10000 = = 0.25 = 25% $40000 $40000 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. To find this, This we first must calculate the AMOUNT leads us to the following result: of change. For example, ifπππ€ Jane’s salary went fromππππππππ $45,000 last year to π΄πππ’ππ‘ − π΅ππ π π΄πππ’ππ‘ πππππππ‘ $50,000 = this year, then the AMOUNT of change is πΆβππππ ππππππππ π΄πππ’ππ‘ $50,000π΅ππ π β $40,000 = $10,000 To calculate the PERCENT change, just divide the AMOUNT of change by the original salary (the base). So, Jane’s PERCENT INCREASE in salary is: $50000 − $40000 $10000 = = 0.25 = 25% $40000 $40000 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. This leads us to the following result: πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. This leads us to the following result: πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ In the previous example, Jane’s percent change in salary was called a ‘percent increase’. That’s because the ‘New Amount’ was larger than the ‘Base Amount’ and the resulting calculation came out positive (25%). MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Often, we are interested in the percent of change in a quantity. This leads us to the following result: πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ In the previous example, Jane’s percent change in salary was called a ‘percent increase’. That’s because the ‘New Amount’ was larger than the ‘Base Amount’ and the resulting calculation came out positive (25%). Had the ‘Base Amount’ been larger (resulting in a negative quantity), the percent change could be called a ‘percent decrease’. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? ππππππππ π΄πππ’ππ‘ πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π$21339 = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? ππππππππ π΄πππ’ππ‘ πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π$21339 = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? ππππππππ π΄πππ’ππ‘ πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π$21339 = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? π΄πππ’ππ‘ − π΅ππ π$21339 ππππππππ π΄πππ’ππ‘ $23295 πππππππ‘ πππ€ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? π΄πππ’ππ‘ − π΅ππ π$21339 ππππππππ π΄πππ’ππ‘ $23295 πππππππ‘ πππ€ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ π΄πππ’ππ‘ β − π΅ππ π$21339 ππππππππ π΄πππ’ππ‘ $23295 πππππππ‘ πππ€ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ π΄πππ’ππ‘ β − π΅ππ π$21339 ππππππππ π΄πππ’ππ‘ $21339 $23295 $23295 πππππππ‘ πππ€ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 $21339 $1956 πππππππ‘ = ≈ 0.092 ≈ 9.2% πΆβππππ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ π΄πππ’ππ‘ β − π΅ππ π$21339 ππππππππ π΄πππ’ππ‘ $21339 $23295 $23295 πππππππ‘ πππ€ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 $21339 $1956 πππππππ‘ = ≈ 0.092 ≈ 9.2% πΆβππππ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ π΄πππ’ππ‘ β − π΅ππ π$21339 ππππππππ π΄πππ’ππ‘ $21339 $23295 $23295 πππππππ‘ πππ€ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 $21339 $1956 πππππππ‘ = ≈ 0.092 ≈ 9.2% πΆβππππ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation PERCENT CHANGE Al’s Auto is advertising that all cars are sold at a 5% markup over dealer cost. If the Al’s dealer cost is $21339 and he is selling the car for $23295, is Al being honest? πππππππ‘ πππ€ π΄πππ’ππ‘ − π΅ππ π ππππππππ π΄πππ’ππ‘ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ π΄πππ’ππ‘ β − π΅ππ π$21339 ππππππππ π΄πππ’ππ‘ $21339 $23295 $23295 πππππππ‘ πππ€ = πΆβππππ π΅ππ π ππππππππ π΄πππ’ππ‘ $21339 $21339 $1956 πππππππ‘ No. Al is NOT = ≈ 0.092 ≈ 9.2% being honest! πΆβππππ $21339 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. Find the line in the table that includes June’s amount of taxable income. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. Find the line in the table that includes June’s amount of taxable income. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. So according to this table, the tax is $4,220.00 + 25% of the amount over $30,650 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. So according to this table, the tax is $4,220.00 + 25% of the amount over $30,650 The amount of taxable income over $30650 is $41458 - $30650 = $10808. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. So according to this table, the tax is $4,220.00 + 25% of the amount over $30,650 The amount of taxable income over $30650 is $41458 - $30650 = $10808. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. So according to this table, the tax is $4,220.00 + 25% of the amount over $30,650 The amount of taxable income over $30650 is $41458 - $30650 = $10808. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. So according to this table, the tax is $4,220.00 + 25% of the amount over $30,650 $10808 The amount of taxable income over $30650 is $41458 - $30650 = $10808. MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. So according to this table, the tax is $4,220.00 + 25% of the amount over $30,650 $10808 Tax = $4220 + 0.25($10808) = $4220 + $2702 = $6922 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. So according to this table, the tax is $4,220.00 + 25% of the amount over $30,650 $10808 Tax = $4220 + 0.25($10808) = $4220 + $2702 = $6922 MATH 110 Sec 8-1 Lecture: Percents, Taxes and Inflation TAXES June is unmarried with a taxable income of $41,458. Use the table below to find the amount of income tax she owes. So according to this table, the tax is $4,220.00 + 25% of the amount over $30,650 $10808 Tax = $4220 + 0.25($10808) = $4220 + $2702 = $6922
