[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

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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?

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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?

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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

BySolutionlogy

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?

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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

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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] If 4 apples and 6 bananas cost $1.56, and 9 apples and 7 bananas cost $2.60, what is the cost of one apple and one banana?

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Question: If 4 apples and 6 bananas cost $1.56, and 9 apples and 7 bananas cost $2.60. What are the cost of one apple and one banana? We will solve the system of linear equations using the elimination method. Step 1: Set up the equations We are given the following information: Let x be the…

[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?

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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…