Earnings Reynalda works as a salesperson in the electronics division of a department store. She earns a base weekly sal- ary plus a commission based on the retail price of the goods she has sold. If she sells x dollars worth of goods in a week, her earnings for that week are given by the function E(x) = 400 + 0.03x. (a) Find E(2000) and E(15,000). (b) What do your answers in part (a) represent? (c) Find E(0). What does this number represent? (d) Find the net change and the average rate of change of her earmings E between x = 2000 and x = 15,000. (e) From the formula for E, determine what percentage Reynalda earns on the goods that she sells.

Q: Charles buys factory-reconditioned hedge trimmers for $20 each and sells them online for $42 each.…

A: given :

Q: A second baseman throws a baseball toward the first baseman 60 feet away. The path of the baseball…

A:

Q: 120x + 1800 A manufacturer determines that the average daily cost (in dollars) of producing x units…

A: The average cost of producing x units of a certain commodity is: C(x)=120x+1800x ;     x > 0

Q: Length of Skid Marks 125 120 100 100 75 80

A: Find your answer below

Q: 84. Fines for speeding: In some localities, there is a set formula to determine the amount of a fine…

A:

Q: Average revenue. Tongue-Tied Sauces, Inc., finds that the revenue, in dollars, from the sale of x…

A: The revenue function from the sale of 'x' bottles of barbecue sauce is given as follows - R(x) =…

Q: Mark started selling snacks in the nearby school.In one day he spends 200 pesos for rent and 25…

A: Given: Mark started selling snacks in the nearby school he spends 200pesos on rent and 25 pesos on…

Q: Clovis measures its height h of the rocket above the sloping ground while it is going up. Consider…

A:

Q: The daily profit P ​(in thousands of​ dollars) from the sale of batteries is a function of the…

A:

Q: The function ​A(x)=​x(x+2​) describes the area A of the opening of a rectangular window in which the…

A:

Q: 18 A paper airplane was thrown from the top of a tall building. The height of the paper airplane…

A:

Q: The height h of a projectile is a function of the time t it is in the air. The height in feet for t…

A: Given   The height function of the partical h(t)=-16t2+96t

Q: Attitude Change Social psychologists have found that as the discrepancy between the views of a…

A: Given function is                     D(x)=-x4+8x3+80x2

Q: The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula…

A: Given P=-5+2.6n-0.2n2

Q: Depreciation A business property valued at $300,000is depreciated over 30 years by the straight-line…

A: The depreciation function is: V=300,000-10,000x

Q: A roof has a 0.2-inch layer of ice on it from a previous storm. Another ice storm begins to deposit…

A: Given data: The thickness of ice is c=0.2 in. The rate of deposition is m=0.23 in/hr.

Q: The number of females in law continues to show steady increases. The number of female lawyers in a…

A: a. It is exponential function. b. F(30) =>F(30)= .834* x^1.297               =.834*30^1.297…

Q: The same amount of trash is dumped into a landfill every day. The function below shows the total…

A:

Q: A baseball player hits a pop fly into the air. The function s(t) = -16t2 + 64t + 5models the ball’s…

A: Ball's height model s(t)=-16t2+64t+5 To find: Time to reach maximum height and maximum height.

Q: The daily profit P ​(in thousands of​ dollars) from the sale of cell phones is a function of the…

A:

Q: The amount of garbage, G, in tons per week, produced by a city with population p, measured in…

A:

Q: 38. Phone Charges The monthly cost C, in dollars, for international calls on a certain cellular…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Attached is the graph of the function g(x) = |x|   What would the graph of kg(x) when -4 < k < -1…

A:

Q: In 2011, the population of Zoolandia was 85.5 million. In 2017, the population was 80.1 million. a.…

A: Consider the given: Hello. Since your question has multiple parts, we will solve first question for…

Q: Out-of-pocket spending in a country for health care increased between 2002 and 2006. The function…

A:

Q: f(x) = x² – 9x + 14. (a) For which values of x is the function f(x) positive? Enter your answer…

A: The detailed solution is given below Thank you

Q: The function f(x) = (6.5x2 - 20.4x + 234)/(x2 + 36), models the pH level, f(x), of the human mouth x…

A: To Determine: a) Use the graph to obtain a reasonable estimate, to the nearest tenth, of the pH…

Q: - Estimating Solar Panel Profits A solar panel manufacturer estimates that the profit y (in dollars)…

A: Given Sx=8x+0.8x2-0.002x3-4000

Q: In a lake, a large fish feeds on a medium-size fish, and the population of the large fish is given…

A:

Q: Ot-of-pocket spending in a country for health care increased between 2003 and 2007. The function…

A: topic - exponential function

Q: Price-demand. Suppose that the daily demand (in pounds) for chocolate candy at $x per pound is given…

A: Given demand function is D=1000-40x2 ,    1≤x≤5 Here 'x' represent price (in dollars) of per pound.

Q: x2-3x+4 Q2/ Find the range of the function f(x) x2+3x+4

A: Range of rational function (quadratic/quadratic)

Q: Clare likes riding Ferris wheels. In the table, we have the function F which gives her height F(t)…

A: The equation for the ferries wheel can be of the form of cosine or sine function. The general…

Q: Apply the properties of functions to correctly determine and interpret the break-even point in the…

A: Calculation of above requirement are as follows.

Q: The amount of garbage, G, And tons per week produce By a City with population he measured and…

A: We need to write a function.

Q: A company's revenue from selling z units of an item is given as R = 1000r – a'. If sales are…

A: Given: The revenue from selling x units of an item is R=1000x-x2 and the sale is increasing at the…

Q: Out-of-pocket spending in a country for health care increased between 2002 and 2006. The function…

A:

Q: 1. Anton joined a golf club two years ago. He pays an annual membership fee of $895 and a greens fee…

A: given functionf(g)=895+30gwhere g is number of times he  played golf according to…

Q: Find the point of diminishing returns for the function. For the function, R is the revenue (in…

A:

Q: Zoe is buying groceries in her neighborhood. She observes that the amount of time (in minutes) it…

A: The given function is - T(x)=0.13x+4

Q: The yearly profit, "P" of your store can be estimated by the function P(n)=15n-45,000 where "n" is…

A:

Q: The yearly profit P for a widget producer is a function of the number n of widgets sold. The formula…

A:

Q: An employee at a garden center fills a water tank once a day to a height of 20 inches. The function…

A: given M(x)=5 x3

Q: 5. Two sailboats are traveling along the same path away from a dock, beginning from different…

A: Distance travelled = speed X time

Q: A thyroid cancer patient ingests a single dose of radioactive iodine-131 to kill the cancer cells.…

A:

Q: The function C(x)=0.0045x2-0.47x+139 models the cost per hour of running a bus between two cities,…

A: Given : the cost per hour of running a bus is modelled by a function C(x)=0.0045x2-0.47x+139

Q: 8. Earnings Reynalda works as a salesperson in the electronics division of a department store. She…

A: Part (a) - Relation for her earnings is given by - E(x) = 400+0.03x     ........(1)E(2000) is the…

Q: 1 At a restaurant, jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars…

A:

Q: A circle's radius is 24 cm when the circle begins shrinking, so that its radius length decreases at…

A: Here, given that the circle of the radius 24 cm begins to shrinking and the radius length decreases…

Q: 3. Caroline puts $400 into a savings account that earns 6% annually. Write a function that…

A: The simple interest formula is given below: where, A is the total amount, P is the principal…