College Algebra 1st Edition solutions

College Algebra 1
A car was valued at $38,000 in the year 2007. By 2013, the value had depreciated to $11,000 If the cars value continues to drop by the same percentage, what will it be worth by 2017?

College Algebra 1
A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according to the formula r(t) = 2t + 1, express the area burned as a function of time, t (minutes).

College Algebra 1
Jamal wants to save $54,000 for a down payment on a home. How much will he need to invest in an account with 8.2% APR, compounding daily, in order to reach his goal in 5 years?

College Algebra 1
Abercrombie and Fitch stock had a price given as P = 0.2t 2 5.6t + 50.2, where t is the time in months from 1999 to 2001. ( t = 1 is January 1999). Find the two months in which the price of the stock was $30.

College Algebra 1
Hsu-Mei wants to save $5,000 for a down payment on a car. To the nearest dollar, how much will she need to invest in an account now with 7.5% APR, compounded daily, in order to reach her goal in 3 years?

College Algebra 1
A rocket is launched in the air. Its height, in meters above sea level, as a function of time, in seconds, is given by h(t) = 4.9t2 + 229t + 234. Find the maximum height the rocket attains.

College Algebra 1
For the following exercises, use this scenario: Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of $20 and charges of $.05/min for calls. Company B has a monthly fee of $5 and charges $.10/min for calls. Find the model of the total

College Algebra 1
How is the logarithmic function f(x) = logb (x) related to the exponential function g(x) = bx ? What is the result of composing these two functions?

College Algebra 1
Terry is skiing down a steep hill. Terrys elevation, E(t), in feet after t seconds is given by E(t) = 3000 70t. Write a complete sentence describing Terrys starting elevation and how it is changing over time.

College Algebra 1
The exposure index EI for a 35 millimeter camera is a measurement of the amount of light that hits the film. It is determined by the equation EI = log2 f 2 _ t , where f is the f-stop setting on the camera, and t is the exposure time in seconds. Suppose the f-stop setting is 8 and the desired exposur

College Algebra 1
Use your own words to describe this equation where n is a number: 5(n + 3) = 2n

College Algebra 1
Alyssa opened a retirement account with 7.25% APR in the year 2000. Her initial deposit was $13,500. How much will the account be worth in 2025 if interest compounds monthly? How much more would she make if interest compounded continuously?

College Algebra 1
A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the account be worth in 20 years?

College Algebra 1
The number of bacteria in a refrigerated food product is given by N(T) = 23T2 56T + 1, 3 < T < 33, where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t) = 5t + 1.5, where t is the time in hours. a. Find the composite function N(T(t))

College Algebra 1
For the following exercises, use the function h(t) = 16t 2 + 80t to find the values. h(2) h(1) 2 1

College Algebra 1
For the following exercises, use this scenario: A truck rental agency offers two kinds of plans. Plan A charges $75/wk plus $.10/mi driven. Plan B charges $100/wk plus $.05/mi driven. Write the model equation for the cost of renting a truck with plan A.

College Algebra 1
For the following exercises, construct a system of nonlinear equations to describe the given behavior, then solve for the requested solutions. A cell phone company has the following cost and revenue functions: C(x) = 8 x 2 600x + 21,500 and R(x) = 3 x 2 + 480x. What is the range of cell phones th

College Algebra 1
At a carnival, $2,914.25 in receipts were taken at the end of the day. The cost of a childs ticket was $20.50, an adult ticket was $29.75, and a senior citizen ticket was $15.25. There were twice as many senior citizens as adults in attendance, and 20 more children than senior citizens. How many chil

College Algebra 1
If we assume the linear trend existed before 1950 and continues after 2000, the two states median house values will be (or were) equal in what For the following exercises, use the median home values in Mississippi and Hawaii (adjusted for inflation) shown in Table 2. Assume that the house values are

College Algebra 1
The average annual population increase of a pack of wolves is 25.