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…
Verified Answer: Which equation is represented by the graph below? A. y = 1/8ex B. y = 1/2ex Solution: We know that equation of an exponential function is given by: y = aex ────── ① From the given graph, we can observe that x-intercept = 0 and y-intercept = 1/2 Substituting the value of x…
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…
Step 1: Calculating the Booking Fee The booking fee is calculated as a percentage of the ticket’s cost. In this case, the booking fee is 3% of £63. To find the booking fee, you multiply the ticket cost by the booking fee rate: Booking Fee = Ticket Cost * Booking Fee Rate Booking Fee =…
Concept used: This question involves several mathematical concepts, including: By applying these concepts, we can find the correct simplified ratio of the deposit Emma pays to the total of the 18 equal payments, which is 2:3. Emma buys a camping van for £23500 plus VAT at 20%. She pays a deposit for the camping van….
How to factor x^2−10x−24? aQuestion: How to factor x2−10x−24? aSolution: We have to find the factors of given quadratic equation Factoring out the expression by grouping. First, the expression needs to be rewritten as x2+ax+bx−24. To find a and b, we will set up a system to be solved. a+b=−10 ab=1(−24)=−24 Since ab is negative,…