value of a new car in dollars is modeled by the formula V = 150t^2 - 3300t+24000 where t represents the number of years since it was purchased. Determine the minimum value of the car

Q: find two positive numbers with product 576 and who’s sum is a minimum

A: we have to find numbers

Q: A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it…

A:

Q: A rectangular page is to contain 36 square inches of print. The margins of each side are 1- inches.…

A: Given that, A rectangular page is to contain 36 square inches of print. The margins of each side are…

Q: Among all pairs of numbers with a sum of 239, find the pair whose product is maximum. Write your…

A:

Q: A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it…

A: Explanation: Suppose that,  Length of the rectangular field = x Width of the rectangular field = y…

Q: A plane begins its takeoff at 2:00 p.m. on a 2500-mile flight. After 5.5 hours, the plane arrives at…

A: Given  Initial time  t = 0 hr When time is 0 , distance S = 0  mile . Distance is 2500 mile  when  t…

Q: An open-top box is to be made from a 30-inch by 54-inch piece of plastic by removing a square from…

A: Given:Dimension of plastic board=30inch by inch

Q: A farmer wants to fence a rectangular area of 450 square feet next to a river. Find the length and…

A: Let length = x width = yArea (A) = 450 (feet)2 So,   A = xy = 450 ...(i)total fencing (T) = x+2yT =…

Q: To receive Grade ‘A’ in a course, one must obtain an average of 90 marks ormore in five examinations…

A:

Q: Express y=2x2+6x+12 in completing the square form. Hence, find the maximum/minimum values of each…

A: The quadratic equation represents a parabola. The vertex form of a quadratic equation is y=ax-h2+k.…

Q: An open box is to be made from a rectangular piece of material by cutting equal squares from each…

A: Explanation of the answer is as follows

Q: complete solution.

A: In statistics, three measures of central tendency are widely used. These three measures are also…

Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will…

A: topic - application of derivatives

Q: A car rental agency rents 210 cars per day at a rate of $30 per day. For each $1 increase in rate, 5…

A: Topic- Application of derivatives

Q: A cable TV company has 3800 customers paying $130 each month. If each $1 reduction in price attracts…

A: We know Revenue= Total no.of customers ×price When we lower the price by 1$, then 50 new customers…

Q: Find two numbers with difference 138 and whose product is a minimum. Enter your answers in…

A: SOLUTION-

Q: RS Corporation is a company that manufactures face masks. For every x thousand pieces of face mask…

A: Marginal revenue

Q: A rectangular playground is to be fenced off and divided in two by another fence parallel to one…

A:

Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

A:

Q: 9–x² x2

A:

Q: The maximum height reached by the ball is Number Units

A: Follow the procedure given below.

Q: the dimesnions of the pasture that will

A: Given that: A rancher has 300 feet of fencing to enclose a rectangular pasture bordered on one side…

Q: A car rental agency rents 480 cars per day at a rate of $20 per day. For each $1 increase in rate,…

A: Solution: Car rented =480 -10x rate =20+x

Q: A car rental agency rents 210 cars per day at a rate of $40 per day. For each $1 increase in rate, 5…

A: Solution:-Step:1      For each one dollar  increases, 5 fewer  car  are rented.   If 'x'  is added…

Q: A farmer wants to fence a rectangular area of 242 square feet next to a river. Find the length and…

A:

Q: A farmer plans to make 3 identical and adjacent rectangular pens, using an existing wall as one…

A:

Q: A car rental agency rents 190 cars per day at a rate of $30 per day. For each $1 increase in rate, 5…

A: Let rate be 'x' So,   Income = x190-5x-30=190x-5x2+150x=340x-5x2To maximize:f=340x-5x2

Q: A car rental agency rents 440 cars per day at a rate of $40 per day. For each $1 increase in rate,…

A: Let x be the number of $1 increases in the rate. From the given information, the total number of…

Q: A car rental agency rents 190 cars per day at a rate of 32 dollars per day. For each 1 dollar…

A: This question can be solved using the concept of maxima and minima

Q: A cable TV company has 3200 customers paying $130 each month. If each $1 reduction in price attracts…

A:

Q: A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A:

Q: Find four positive numbers whose sum is 100, difference is 10 and product have maximum values

A:

Q: Among all pairs of numbers (x,y) such that 3x+y=8 , find the pair for which the sum of squares,…

A: Given condition,           3x + y = 8                     y  = 8 -3x             —1Function to be…

Q: The accountant of an agricultural company is asked to make a report about the commodities, and…

A:

Q: An orchard owner has shown that if 25 apple trees are planted in one acre, each tree yields an…

A: Given - An orchard owner has shown that if 25 apple trees are planted in one acre, each tree yields…

Q: A farmer wants to fence a rectangular area of 392 square feet next to a river. Find the length and…

A:

Q: A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 500, 000…

A:

Q: A car rental agency rents 190 cars per day at a rate of $40 per day. For each $1 increase in rate, 5…

A:

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (smaller number) (larger…

A: Our Aim is to find two positive numbers whose product is 36 and whose sum is a minimum.Let 'x'…

Q: A car rental agency rents 420 cars per day at a rate of $20 per day. For each $1 increase in rate,…

A:

Q: Find two positive numbers with product 529 and whose sum is a minimum. Enter your answers in…

A:

Q: A rectangle is to be fit inside a scalene triangle of lengths 7, 4 and 5 units. What is the maximum…

A:

Q: Divide 9 into two parts such that the product of one by the square of the other is a maximum. What…

A: 9 is divided in two parts such that the product of one and the square of the other is maximum.

Q: Find two numbers with difference 110 and whose product is a minimum. Enter your answers in…

A: The objective is to find two numbers whose difference 110 and whose product is a minimum.

Q: Find two positive numbers with product 576 and whose sum is a minimum. Enter your answers in…

A:

Q: Find two positive numbers with product 529 and whose sum is a minimum. Enter your answers in…

A:

Q: Determine the dimensions of the rectangle with perimeter 265 cm and maximum area.

A:

Q: A car rental agency rents 190 cars per day at a rate of $20 per day. For each $1 increase in rate, 5…

A:

Q: Find two numbers whose difference is 166 and whose product is a minimum. Step 1 If two numbers have…

A:

Q: A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to…

A: Step 1 Given: Perimeter of field fencing= 800ft 3lots are obtained by parallel fencing