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1. Ryan works at an appliance store on commission. He receives a weekly salary of $450 plus 5% of any merchandise he sells.
a. Write a function that gives his gross wages, W, in terms of his total sales in dollars, x.
b. How much will he earn if he sells $5000 in merchandise in a week?
c. How much does he have to sell to earn $1500?
2. The percent of Americans who smoke can be modeled by the function S(t)=-0.59t + 42.28 where t represents the number of years since 1965. Determine the years for which the percent of Americans who smoke is less than 15%.
find the eqation ofa parabola whose foci are (5,2)and whose equation of diectrix is 2x+3y=0
Does H U K contain the zero vector of V? Is H U K closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H U K whose sum is not in H U K, using a comma separated list and syntax such as ,
the manager of 100 apartments knows that at $600 rent per month, all apartments will be rented. For each $25 increase, one apartment will not be occupied. Let x represnt the number of $25 increases to the rent. Write the revenue as function of x.
pressure P and volume V are related by the equation PV^1.4 = C, where C is a constant. Suppose that at a certain instant the volume is 900 cm3 and the pressure is 80 kPa and is decreasing at a rate of 10 kPa/min
What interest rate would he need to make his goal come true.
How many different ways are there for an admissions officer to select a group of 5 college candidates from a group of 9 applicants for an interview?
Mocha Crunch Bakery paid its shareholders a dividend of $1.12 per share in the last quarter and $4.25 per share in the last year. The market price per share of Mocha Crunch Bakery is currently $36.59. Calculate the stock's current dividend yield
Express the final area (A) of the carpet in square inches (after both trim jobs) as a polynomial function of x.
application of differential calculus in economics profit cost and revenue function.the total cost cq of production
A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8.
H = 4.8sin(pi/6)(t-10)+7.6, where domain of t is [0,24], and where t=0 corresponds to 12AM. When is the water level rising and falling? Find the relative extrema of H and interpret your results.
Given f(x)=x^3 on [0,1] and the partition P={0,1/8,1/3,2/3,1}, find four different Riemann sums R(f,P). Show that Chi_Q is discontinuous at every point where Chi_Q is the characteristic function for Q - Rational numbers.
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