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An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane's air speed is 375 km/h, what direction must the pilot fly to make it to Toronto?
At a certain rate of simple interest $1000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
A 28-year-old man pays $157 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, what is the expected value for the insurance policy?
The logistic growth function f(t)=400/1+9.0e^-0.22t describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 12 months?
Find the Euler's method to determine the first three approximations to the given initial value problem
if a furniture store buys a coffee table from a manufacturer for $120.00 and sells it at a 100% markup, what is the selling price of the coffee table?
Find the profit equation by substituting for R and C in the equation P=R-C, What is the profit made from selling 15 dvd players per month>
A fish tank is 1 yd long, 1.5 ft high, and 15 in wide. Determine the volume of water in the fish tank in cubic feet.Determine the weight of the water in pounds. One cubic foot of water weighs about 62.5 pounds.
Plan A is $100 per week plus 5% commission on sales. Plan B is straight 15% commission on sales. How many dollars in sales are necessary per week for Plan B to result in the same salary as Plan A?
What is the average cost of equity funds (i.e. retained earnings and new equity) required for this round of financing?
A farmer has 300 meters of fencing. The fencing is to be used to enclose a rectangular field and to divide it in half. Find the dimensions of the field that has the maximum area.
Let f(x) = x^3, and compute the Riemann sum of f over the interval [6, 7], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)
A motorboat can maintain a constant speed of 43 miles per hour relatuve to the water. The boat makes a trip upstream to a certain point in 52 minures; the return trip takes 34 minutes. What is the speed of the current?
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