Posted by **Ellen** on Friday, July 20, 2012 at 9:26pm.

Universal instruments found that the monthly demand for its new line of Galaxy Home Computers t months after placing the line on the market was given by

D(t) = 2900 − 2300e−0.08t (t > 0)

Graph this function and answer the following questions.

(a) What is the demand after 1 month? After 1 year? After 2 years? after 5 years?

after 1 month computers

after 1 year computers

after 2 years computers

after 5 years computers

(b) At what level is the demand expected to stabilize?

computers

(c) Find the rate of growth of the demand after the tenth month.

computers per month

- math help -
**Reiny**, Friday, July 20, 2012 at 11:54pm
simply sub in each of the values, I will do the one for 2 years

at 2 years, t = 24

D(24) = 2900- 2300e^(-.08(24))

= 2900-2300e^-1.92

= appr 2563

b) notice that as t gets larger, e^-.08t gets smaller.

So eventually D(t) becomes 2900-0 or 2900

D'(t) = .08(2300)e^-.08t

when t = 10

D'(10) = .08(2300)e^(.08(10)) = 83computers/month

## Answer this Question

## Related Questions

- Calculus - Universal instruments found that the monthly demand for its new line ...
- math - h worked the following problem incorrectly. Part 1) In which line was the...
- biology - Given the part of the molecule shown below, can the underlined atom ...
- Math - This question concerns the straight line that passes through the points...
- Mathamatics - This question concerns the straight line that passes through the ...
- math - The monthly income I, in dollars, from a new product is given by I(t) = ...
- algebra - Which choice is the equation of a line that passes through the point (...
- math - Find an equation of the line that satisfies the given conditions. Through...
- algebra ll - Which choice is the equation of a line that passes through the ...
- algebra - The monthly income I, in dollars, from a new product is given by I(t...

More Related Questions