Purchase Solution

# Polynomial functions, inverses, half-life, investments

Not what you're looking for?

1) Fit a polynomial Function f(x) to the graph. The scale on the x-axis is 1 and the scale on the y-axis is 5. The point (1,12) is on the graph, Assume that if the graph appears to cross the x-axis at a mark, it really does.

(1,12)
3
2
1 4

2) Noise level in decibels as it depends on the sound intensity (I, in watts/cm2) is defined by the following formula, when Io is the faintest sound the human ear can hear.

DB=10 log (I/Io). where Io= 1x10-16watts/cm2

A) What is the noise level for a sound with intensity 2.5 x 10-9watts/cm2

B) A typical noise level at a rock concert is about 110dB. What is the sound intensity for this noise level?

C) How many times more intense is a 110dB noise than a 45 dB noise?

3) Find the inverse of f(t) = 3&#61654;t-7/5. if it exists. Check using function composition.

4) Find the time it will take a sample of Plutonium-239 to decay to 0.50% of its original amount if Plutonium-239 has half-life of 24,100 years.

5) How long would it take to triple an investment of \$30,000 if it is compounded quarterly at 5.25% annual interest rate?

##### Solution Summary

This solution is comprised of a detailed explanation to solve olynomial functions, inverses, half-life, and investments questions.

##### Solution Preview

1) Fit a polynomial Function f(x) to the graph. The scale on the x-axis is 1 and the scale on the y-axis is 5. The point (1,12) is on the graph, Assume that if the graph appears to cross the x-axis at a mark, it really does.

(1,12)
3
2
1 4

Answer: the Polynomial is y = 3.625x3 - 21.375x2 + 26.75x + 3

2) Noise level in decibels as it depends on the sound intensity (I, in watts/cm2) is defined by the following formula, when Io is the faintest sound the human ear can hear.

DB=10 log ...

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Graphs and Functions

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

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Probability Quiz

Some questions on probability