Search 85,403 tutors
FIND TUTORS
Ask a question

Answers by Jordan K.

Hi Sidney,   Let's begin by writing the Revenue Function, R(x), we have to maximize.  It will be based upon the number of units (x) less than the initial 110 units with a corresponding increase in revenue dollars of 10x above the initial revenue of $46,200 (110 x 420):  ...

Hi Ekene,   A nice passel of problems !!   We'll consider each one in turn, below:     Problem #1:   (pi/6)(180/pi) = 180/6 = 30 degrees   The angle (-pi/6) or (-30 degrees) lies in quadrant IV where x is positive and y is...

Hi Bianca,   Let's begin by assigning a letter to represent our unknown:     x = hours all three pipes open to fill tank   Next, let's write expressions in terms of our unknown (x) for the portion each pipe either adds to or takes away from a completed (whole)...

Hi Ryan,   Let's begin by representing the number of production units for each model in terms of the number of production units for model "C":     x = # of model "C" units     4x = # of model "A" units (4 times # of model "C"...

Taxi costs (answer)

Hi Ryan.   Let's begin by assigning a letter to represent our unknown:     x = miles from airport   Next, let's write an equation to express the total cost of the taxi ride from the airport and then solve it for our unknown (x):     Flat Fee...

Hi Haley,   Let's begin by writing the quadratic function in standard form (ax2 + bx + c):     h(t) = -16t2 + 40t + 5 (a = -16; b = 40; c =5)   Next, let's find the time (t) needed for the ball to reach its maximum height using the axis...

Toy Rockets (answer)

Hi Haley,   Before we get to solving for the time asked in our problem, let's first determine the key information concerning the flight path of the toy rocket.    Let's begin by writing the Height Function, h(t), in standard quadratic form (ax2 + bx + c):  ...

Bulldozers (answer)

Hi Haley,   Let's begin by writing the Profit Function, P(x), in standard quadratic form (ax2 + bx + c):     P(x) = -2x2 + 2500x (a = -2; b = 2500; c = 0)   Now let's use the axis of symmetry formula (x = -b/2a) for a parabola to calculate...

Hi Dan,   Let's begin by writing algebraic expressions to represent the amount invested at each profit percentage:     x = amount invested at 6% profit     15,000 - x = remainder invested at 10% profit   Now let's write an equation using our...

Hi Badi,   You were on the right track trying to express a relationship in terms of sin2A (2sinAcosA):     (2/2)(1/8)[sin(29.5)][cos(29.5)] = [2sin(29.5)cos(29.5)]/16     [2sin(29.5)cos(29.5)]/16 = sin[2(29.5)]/16     sin[2(29.5)]/16...

Hi Ginger,   Let's begin by factoring completely both the numerator and the denominator of our function, g(x):     g(x) = (x3-2x2+x)/(x2-1)     g(x) = [x(x2-2x+1)]/[(x-1)(x+1)]     g(x) = [x(x-1)(x-1)]/[(x-1)(x+1)]  ...

read description (answer)

Hi Amber, Let's begin by writing algebraic expressions to represent the amount invested in each account:     x = invested amount in account earning 3.9% interest annually     50000 - x = remainder invested in other account earning 10.5% interest annually Next,...

Hi Mario,   Let's begin by writing our given ratio to make 1 cup of the glob mixture:     1 cup glob = 3 parts glue / 2 parts corn starch   To make 85 cups of the glob mixture, we simply multiply the fraction (3/2) for 1 cup by (85/85) to scale up the components...