Other Math Answers

“A hotel offers two activity packages. One costs $192 and includes 3 hours of horseback riding and 2 hours of parasailing. The second costs $213 and includes 2 hours of horseback riding and 3 hours of parasailing. What is the cost for 1 hour of each activity?”

A manufacturer produces a product which it sells for $60 per unit. The variable cost per unit is $20 and the fixed cost per month is $10,000. 

1.  How many units must be sold per month to break even?

a. 167      b. 500      c. 400      d. 250      e. None of these

three friends want to share a 20-kg bag of rice equally by weight. how many kilograms of rice should each friend get? write your answer as a mixed number

A short run cost function for an entrepreneur is

q³ − 8q² + 30q + 60 Determine the

price at which the entrepreneur cases production in an ideal market. Also, derive the

supply function.

A particle is executing Simple Harmonic Motion of amplitude 6 m and period 3⋅ 5

seconds. Find the maximum velocity of the particle.

Write the limitations of the Malthusian model of population growth.

Write the three-dimensional Gaussian model dispersion for the atmospheric pollution

problem. Modify the model under the following assumptions:

(i) Wind velocity is in only y -direction.

(ii) Mass transfer due to bulk motion in the y -direction overshadows the

contributions due to mass diffusion.

(iii) Motion is in steady state.

(iv) Wind speed is constant.

(v) Diffusivities are constant in all the directions.

Consider the blood flow in an artery following Poiseuille’s law. If the length of the

artery is 3 cm, radius is 7×10^-3 cam and driving force is

5×10³ dynes/cm², then

using blood viscosity, µ = 0 ⋅ 027 poise, find the

(i) velocity u( y) and the maximum peak velocity of blood, and

(ii) shear stress at the wall of the artery.

A body is falling free in a vacuum. The fall is necessarily related to the gravitational 

acceleration g and the height h from which the body is dropped. Use dimensional 

analysis to show that the velocity V of the falling body satisfies the relation 

V / √gh = constant

If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?