Purchase Solution

Mathematics - Algebra

Not what you're looking for?

Ask Custom Question

Growth and decay problems:

1. GRIDDED ANSWER. A new laptop computer cost $2000. The value of the computer decreases overtime. The value V(in dollars) of the computer after t years is given by the function V=2000(0.82) raise to t. What is the decay rate, written as a decimal, of the value of the computer?

2. OPEN-ENDED. The value if a house in Iowa increased, on average, at a rate of bout 4% per quarter from the first quarter in 2001 to the last quarter in 2004. Write a function that models the value of the house overtime. Choose an initial value of the house and a quarter such that the value of the house is about $275,000.

3. EXTENDED RESPONSE. A musician is saving money to buy a new snare drum. The musician puts $100 in a savings account that pays 3% annual interest compounded yearly.
a. Write a function that models the amount of money in the account overtime.
b. Graph the function.
c. The musician wants a drum that costs $149.95. Will there be enough in the account after3 years? Explain.

4. MULTI-STEP PROBLEM. The half-life of a medication is the time it takes for the reduce to half of its original amount in a patient's bloodstream. A certain antibiotic has a half-life of about 8 hours.
a. A patient is administered 500 milligrams of the medication. Write a function that models the amount of the medication in that patient's bloodstream overtime.
b. How much of the 500 milligram dose will be in the patient's bloodstream after 24 hours?

[See Attachment]

Purchase this Solution

Solution Summary

The growth and decay problems in mathematics is examined. Complete, Neat and Step-by-step Solutions are provided in the attached file.

Solution Preview

Growth and decay problems:

1. GRIDDED ANSWER. A new laptop computer cost $2000. The value of the computer decreases overtime. The value V(in dollars) of the computer after t years is given by the function V=2000(0.82) raise to t. What is the decay rate, written as a decimal, of the value of the computer?

V(t) = 2000(0.82)^t
V(0) = 2000(0.82)^0 = 2000 and V(1) = 2000(0.82)61 = 2000(0.82)
Change in the value = V(1) - V(0) = 2000(0.82) - 2000 = -360
Rate of change in value = -360/2000 = -0.18
This means the value "decays" by 0.18 (or 18%) every year.
The decay rate is 0.18.

2. OPEN-ENDED. The ...

Purchase this Solution


Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts