## [Solved] Greg bought a new car for £18000In the first year the value of the car depreciates by 30%In the second year and third year the car depreciates by 14%Work out the value of the car after 3 years

To determine the value of the car after each year of depreciation, we’ll apply the percentage decrease successively for each year. Step 1: Calculate Depreciation for the First Year Depreciation in the first year = 30%30% of £18000 Value after first year = Initial value – Depreciation for the first year =£18000−(30%×£18000)=£18000−(30%×£18000) Step 2: Calculate…

## [Solved] A Waitress Earned \$ 73 For 6 Hours Of Work. The Total Included \$46 In Tips. What Was Her Hourly Wage?

To determine the waitress’s hourly wage, we first need to determine how much she earned from wages (excluding tips) and then divide that by the number of hours she worked. Step 1: Determine the Wages Earned (Excluding Tips) Wages (excluding tips) = Total earned – Tips Wages=\$73−\$46Wages=\$73−\$46 Step 2: Calculate the Hourly Wage Hourly wage…

## [Solution] Jaclyn has \$120 saved and earns \$40 each month in allowance. Pedro has \$180 saved and earns \$20 a month in allowance. If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?

To solve this problem, we can use a system of equations based on their savings over time. Let �t be the number of months it will take for Jaclyn and Pedro to have saved the same amount of money. Step 1: Set Up Equations for Both Jaclyn and Pedro For Jaclyn: Initial savings + Monthly…

## [Solved] A flagpole casts a shadow that is 49 feet long. At the same time, you who are 66 inches tall cast a shadow that is 42 inches long. How tall is the flagpole to the nearest foot? A. 55 feet B. 66 feet C. 77 feet D. 88 feet

Step 1: Understand the Concept of Similar Triangles When two triangles are similar, the ratios of the corresponding sides are equal. In this problem, the angle of the Sun’s rays creates similar triangles between you and your shadow and the flagpole and its shadow. This means: height of flagpoleyour height=shadow of flagpoleyour shadowyour heightheight of flagpole​=your shadowshadow of flagpole​ Step 2: Convert All Measurements to a Common…

## [Solved] A teacher performing a demonstration finds that a piece of cork displaces 23.5 mL of water. The piece of cork has a mass of 5.7g. What is the density of the cork?

Understand the Definition of DensityDensity measures how much mass is contained in a given volume. It’s often used to determine the compactness or concentration of matter in an object. The formula for density is: Density=MassVolumeDensity=VolumeMass​ Where: 2. Identify the Given ValuesFrom the problem statement, we have: 3. Substitute the Given Values into the FormulaUsing the…

## [Solved] Ivan and Tanya share £150 in a ratio of 4: 1. Work out how much more Ivan gets compared to Tanya

Ivan and Tanya share £150 in a ratio of 4: 1. Work out how much more Ivan gets compared to Tanya. Step 1: Understand the problem Ivan and Tanya share £150 in a ratio of 4:1. We need to find out how much more Ivan gets compared to Tanya. Step 2: Find the total number…

## [Solved] Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for \$1.50. After one month, Paul bought 15 passes and spent a total of \$29.50. How much did he spend on the student discount card?

Solution: Let x be the total cost. Let y be the cost for the discount card. Let z be the number of daily bus passes. According to the question Total cost = Cost for the discount card + 1.50 Number of daily bus passes ⟹x = y + 1.50 z ────── ① It is given…

## [Solved] Lily is buying theatre tickets. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total ticket price if Lily is paying by card.

Verified Answer: Lily is buying theatre tickets. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total ticket price if Lily is paying by card. Concept Used: To solve this…

## [Solved] Mr Oliver orders his groceries online and has them delivered to his house. His bill is \$175. He has a coupon for 10% off and plans to give the delivery driver a 20% tip. What is the total price, t, of Mr Oliver’s order, including the discount and the tip? t=\$

Mr Oliver orders his groceries online and has them delivered to his house. His bill is \$175. He has a coupon for 10% off and plans to give the delivery driver a 20% tip. What is the total price, t, of Mr Oliver’s order, including the discount and the tip? t=\$ Solution: According to the…

## [Solved] Maria is using a meter stick to determine the height of a door. If the smallest unit on the meter stick is centimeters, which measurement could Maria have used to most accurately record the height of the door?

Maria is using a meter stick to determine the height of a door. If the smallest unit on the meter stick is centimeters, which measurement could Maria have used to most accurately record the height of the door? A. 2.309 m B. 2.3 m C. 2.31 m D. 2 m To determine the most accurate…