John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest?

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To find the actual yearly rate of interest, we will follow these steps: Let’s go step by step: Total = $1,500 + $3,500 = $5,000 Total = $1,500 + $3,500 = $5,000 We can now calculate the actual yearly interest rate using the given numbers. The extra cost paid by John by taking this deal…

Given example of a relation which is reflexive and transitive but not symmetric.

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Here’s an example of a relation on the set A = {1,2,3} which is reflexive and transitive but not symmetric: Let’s define the relation R on set A as R = {(1,1),(2,2),(3,3),(1,2),(2,3)} Therefore, the relation R is reflexive, transitive, but not symmetric.

[Solved]The value of a new car is £18,000. The value of the car decreases by 25% in the first year and 12% in each of the next 4 years. Work out the value of the car after 5 years.

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Solution: From the question, it is given that the value of a new car is £18,000. The value of car decreased by 25% in the first year. Now we will find the value of the car after it decreased by 25% 25% of 18000=£4500 Value of car after it decreased by 25% = Initial value…

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

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Verified Answer: A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight…

[Solved] The price of a toy, usually costing £50 is increased to £65. What is the percentage

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Step 1: Identifying the Initial and Final Prices The initial step in this problem is to identify the starting and ending prices of the toy. According to the question, the toy initially costs £50, and the price is increased to £65. Step 2: Understanding Percentage Increase The concept of “percentage increase” refers to how much…

[Solved]The price of a toy usually costing £50 is increased to £65. What is the percentage

BySolutionlogy

Step 1: Identifying the Initial and Final Prices The initial step in this problem is to identify the starting and ending prices of the toy. According to the question, the toy initially costs £50, and the price is increased to £65. Step 2: Understanding Percentage Increase The concept of “percentage increase” refers to how much…

[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…