Which of the following is the least profitable investment for a candy shop that earns $1 profit per pound of candy?

2 answers:

3 0

We will calculate: profit per hour : cost per hour.
A: $8/$10= 0.8
B : $16 / $12= 1.33
C: $10/$5 = 2
D: $14/$8 = 1.75
The least profitable investment is: A) Worker at $10 per hour, producing 8 pounds of candy per hour.

Sedaia [141]3 years ago

3 0

The answer: D there will be overages do to paying anything else you muct pay the macheine

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Find the length of the following two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16

andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

$r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)} dt$

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

$r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)} dt$