The value of a family car decreases $600 per year for the first 5 years; after that it depreciates $900 per year. Find the resale value function V(x), where x is the number of years the tamily has owned the car whose original price was $20,000.

Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .06t4t , where t is the…

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Q: If club members charge $3 admission to a classic car show, 1,000 people will attend, and for each $1…

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Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

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Q: Differentiate the function: y= x^3 - 2x

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Q: A toy company can make a doll worth 55 pesos for christmas season. If the production manager plans…

A: We will solve the problem

Q: Differentiate the function.

A: The given differential equation is y=x2e-1x Apply the product rule f·g'=f'g+g'f to differentiate the…

Q: The revenue from the sale of a product is given by the function R= 289x -x. Selling how many units…

A: To find the number of products to be sold for positive revenue

Q: Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

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Q: Graph the function : f(x) 4* I|

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Q: Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an…

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Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: We are given the total cost can then be defined by the function C(x)=800+60x and the average monthly…

Q: Determine whether the function y = -3x4is increasing or decreasing fora. x < 0. b. x > 0.

A: Given- y=-3x4 To find- Determine whether the above function is increasing or decreasing for a. x…

Q: Graph the function. for x <2 f(x) = -x+4 for x 22

A: Given: fx=xfor x&lt;2-x+4for x≥2

Q: Graph the function. f(x) = 3*

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Q: Find the points of intersection of the graphs of the functions y = x2 + 1 and y = 4x

A: Given functions:                     y = x2+1   ... (1)                     y = 4x      ... (2)

Q: Enter the equation of the function, g(x), whose graph is the result of f(x) = √√x shifted right 6…

A: Please see the below picture for detailed solution.

Q: Graph the piecewise function. f(x) = 3[ x ]

A: We know that greatest integer function of any real number x denotes the greatest integer less than…

Q: Graph the function y = (x- 3) + 4 by transforming the base function y = x?.

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Q: Is f(x)=4x-3 a one-to-one function?

A: That's easy. Have a good day!!!

Q: For the given function f(x) = 2.2x+ 4.5, x is the number of years since 2000 and y (or f(x)) is the…

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Q: Graph the function y = (x- 3)2 + 4 by transforming the base function y =. x?.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The total revenue for Fred's Estates LLC is given as the function R(x) = 100x - 0.4x2. where x is…

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Q: The function C(x)=5x+900 represents the cost to produce x, number of items. Find the average cost…

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Q: our cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

A: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

Q: Use the graph of the function to find its average rate of change from x = -9 to x -5. Simplify your…

A: average rate of change be "R"points x=-9 , x=-5Rate of change is gevn by R=f(b)-f(a)b-aat x=-9 ,…

Q: Express the total revenue R as a function of the price p per item when q = -5p + 1200

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Q: Find the value of f(14) from the function.

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Q: Find the difference of the two functions A(x)=1x-6 and B(x)=x+8x-2 at 6

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Q: Find the slope of the graph of the function at the given value. f(x)= 2x² + 4 when x = 5

A: Slope of graph of function at given point is first derivative of function at that point.

Q: During a month-long advertising campaign, the total sales S of a magazine is modeled by the function…

A: Given: Sales function , S(x) = 5x2 + 90x +10000

Q: Graph the function. ​f(x)=−5x

A: The given function is f(x)=-5x

Q: Is y=2x+1 a function or not?

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Q: A monthly cell phone charge is $45. Each long-distance minute used costs $0.30. The total monthly…

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Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

A: The point of diminishing return is the inflection point of the profit function. The profit function…

Q: Write the equation of the parent function f(x) = x3 after it has been translated five units left,…

A: Given function We need to determine the function after f(x) has been translated 5 units left,…

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

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Q: The cost of a new television is $948. If the value of the television decreases by 4.5% every year,…

A: The exponential decay function is given by y=a1-r100t where a = initial value r = rate of decay t =…

Q: Find the domain of the function : √(x+2)

A: Given function is fx=x+2

Q: For a long-distance phone call, the phone company charges $⁢0.70 for the first 8 minutes or less,…

A: The company charges a constant charge for phone calls if we are using phone calls for first 8…

Q: A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks A 12-inch tall…

Q: The function  models the daily profit, f(x)=-x2 +46x-360, in hundreds of dollars, for a company that…

A: f(x) = -x 2 + 46 x - 360 f(x) represents the daily profit in hundred so f(x) = 88

Q: Find the slope of the graph of the function at the given point. f(x) = V1 - x3, (-2, 3) f'(-2) =

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Q: Determine where the given function is increasing and where it is decreasing  45x3  -3x5

A: A function is increasing if f'(x) &gt; 0 and decreasing if f'(x) &lt; 0.

Q: Find the domain of the function.

A: Given, h(x)=4-x+x2-1

Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x)…

A: Here, the given revenue function is: Rx=75x-x210

Q: Match the function with its graph. f(x) = 4(x – 1)? II 4- -5- -5 -6 -3 4 -3 2 -1

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Q: The revenue from the sale of a product is given by the function R= 441x-x°. Selling how many units…

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