[Solved] Joan invests £6000 in a savings account. The savings account pays compound interest at a rate of 2.4% for the first year and 1.7% for each extra year. Work out the value of Joan’s investment at the end of 3 years.

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Joan invests £6000 in a savings account. The savings account pays compound interest at a rate of 2.4% for the first year and 1.7% for each extra year. Work out the value of Joan’s investment at the end of 3 years. Concept used The concept used in this question is compound interest, calculated based on…

[Solved] In How Many Ways 2 Students Can Be Chosen From The Class Of 20 Students?

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To choose 2 students from a class of 20 students, we use combinations since the order in which the students are chosen does not matter. The formula for combinations is: �(�,�)=�!�!(�−�)!C(n,r)=r!(n−r)!n!​ Where: In this case, �=20n=20 (total students) and �=2r=2 (students to be chosen). Step 1: Plug in the values into the formula: �(20,2)=20!2!(20−2)!C(20,2)=2!(20−2)!20!​ Now,…

[Solved] If K+1 2k-1 3k+1 Are Three Consecutive Terms Of Geometric Progression, Find The Possible Values Of The Common Ratio

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Given the three terms of the GP: �+1,2�−1,3�+1K+1,2K−1,3K+1 Step 1: Find the ratio using the first two terms: �=2�−1�+1r=K+12K−1​ Step 2: Find the ratio using the last two terms: �=3�+12�−1r=2K−13K+1​ Step 3: Equate the two expressions for �r: 2�−1�+1=3�+12�−1K+12K−1​=2K−13K+1​ Now, let’s solve for �K in this equation. Finished working Show work The simplified solutions for…

[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

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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…