math

how do you find ...weekly sales in thousands of items of a product has a seasonal sales record approximated by y=18.1sin(piex/24)+52.9 where x is time in weeks and 1 is the first week in janurary. during which weeks will the sales equal 61,950 items this year? list all the weeks...

  1. 👍
  2. 👎
  3. 👁
  1. evaluate y for x from 1 to 52 (weeks).
    For example, for the first week, x=1,
    so
    y=18.1*sin(π*1/24)+52.9=55.26
    Do it for all 52 weeks, plot it if possible.
    Since the maximum over the year is around y=70, I suppose the sales of 61,950 means 61.950 where the "," is used as a decimal point in many countries.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The owner of a small business is aiming to increase sales by ₱1000 weekly. If this condition is met, how much should be the sales on the first week to reach exactly ₱75 000 worth of sales in ten weeks? Type your answer without

  2. Can someone check this

    A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, s, and her weekly earnings, e? Is it e=200s+4?

  3. Math

    A salesman receives a salary of $400 per week plus a commission of 5% of sales. Write a linear model for the weekly income y in terms of sales x.

  4. Business calc

    A total revenue function is given by R(x) = 1000(x^2 - 0.1x)^1/2 , where R(x) is the total revenue, in thousands of dollars, from the sale of x items. Find the rate at which total revenue is changing when 20 items have been sold.

  1. Math

    An electronics store offers its employees two different compensation plans. Employees on plan A earn $500 per week plus a 25% commission on their weekly sales of the products. Employees on Plan B earn $750 per week plus a 15%

  2. Social studies

    Which of the following is an example of an analogy? A) The results of this survey showed that people like our product more than our competitor's product. B) There is a national trend toward healthier eating; as a result we should

  3. Linear Functions

    A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, s, and her weekly earnings, e?

  4. math

    A salesman receives a fixed salary of $500 per week. In addition he is paid 12% of all sales over $1000. Write the formula that describes how his weekly salary, s, depends on his weekly revenue, r. (The revenue is the amount of

  1. algebra

    The total cost (in dollars) for a company to manufacture and sell x items per week is C=50x+40 whereas the revenue brought in by selling all x items is R=68x−0.3x^2. How many items must be sold to obtain a weekly profit of $200?

  2. algebra

    A SALES PERSON RECEIVES $250 PER WEEK AND A 3% COMMISSION ON ALL SALES OVER $5000 IF HER WEEKLY SALES TOTAL IS $9525 WHAT ARE HER TOTAL EARNINGS

  3. Survey of Calculus

    A total revenue function is given by R(x) = 1000(x^2 - 0.1x)^1/2 , where R(x) is the total revenue, in thousands of dollars, from the sale of x items. Find the rate at which total revenue is changing when 20 items have been sold.

  4. math

    Sue receives a base salary of $90 weekly plus a 12% commission on all sales. Sue had $3,000 in sales this week. How much did she make total

You can view more similar questions or ask a new question.