# precal

posted by .

The economist for a large sporting-goods manufacturer developed the following function to model the company's sales, where S is sales in millions of dollars and t is the week of the year, beginning January 1 of each year:
S = 8 + t/52 – 6cos(πt/26)

Which of the following accurately describes the sales cycle over several years?
A.)Short-term cycles with short-term decline
B.)Long-term cycles with long-term decline
C.)Long-term cycles with short-term growth
D.)Short-term cycles with long-term growth

• precal -

If we look at the cosine function which can be written as
cos((t/52)2π), we conclude the cycles are over periods of 52 weeks, meaning yearly cycles.

The first two terms represent a straight line with a y-intercept of 8, and constantly increasing at the rate of (1/52).

Can you deduce the answer from the above information?

• precal -

I'm thinking long term cycles with short term growth?

## Similar Questions

1. ### Cost Accounting

Katherine Company's Sales Budget Has The Following Unit Sales Projection For Each Quarter Of The Calendar Year 2009. January -March 540,000 April-June 680,000 July-September 490,000 October-December 550,000 Total 2,260,000 Sales for …
2. ### math

A company has sales (measured in millions of dollars) of 50, 60, and 75 during the first three consecutive years. Find a quadratic function that fits these data, and use the result to predict the sales during the fourth year. Assume …
3. ### Accounting

Nafari Company's sales budget has the following unit sales projection for each quarter of the calendar year 2011. January -March 1,080,000 April-June 1,360,000 July-September 980,000 October-December 1,100,000 Total 4,520,000 Sales …
4. ### Accounting

Nafari Company's sales budget has the following unit sales projection for each quarter of the calendar year 2011. January -March 1,080,000 April-June 1,360,000 July-September 980,000 October-December 1,100,000 Total 4,520,000 Sales …
5. ### Managerial accounting

The marketing department of Jessi Corporation has submitted the following sales forecast for the upcoming fiscal year (all sales are on account): 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Units to be produced 12,000 14,000 13,000 …
6. ### Algebra

Two companies sell software products. In 2010. Company 1 had total sales of \$17.2 million. Its marketing department projects that sales will increase by \$1.5 million per year for the next several years. Company 2 had total sales of …
7. ### Financial Accounting

Account for warranties. Key Company offers a three-year warranty on its premium door locks. During the year, the company had sales of \$100,000. Related to the sales, warranty costs should be approximately \$3,000 per year. How much …
8. ### calculus

Suppose that the sales at Borders bookstores went from 68 million dollars in 1990 to 427 million dollars in 1995 . Find an exponential function to model the sales (in millions of dollars) as a function of years,t, since 1990.
9. ### Algebra 2

Year: 1, 2, 3, 4, 5 Sale:.48,1.032,2.198,4.726,10.208 (in millions) -If the sales growth pattern continues, what will be the sales for ABC Company in year 12?
10. ### precalc

Success in business depends on many factors. Buying habits of consumers, trends in fashion and taste, seasonal trends, the strength of the competition, and the condition of the national and international economies all affect the fortunes …

More Similar Questions