Exponential Growth and Decay
What is the letter we use for "How much time has elapsed" in exponential growth and decay problems.
t
Do compounding interest problems require their own unique formula?
Yes
When comparing the intensities of two earthquakes, is the more powerful earthquake the denominator or the numerator?
Numerator
When comparing the acidity of two substances, is the more acidic substance initially the numerator or the denominator?
Numerator
When comparing the sound intensity of two sounds, is the less powerful sound the numerator or the denominator?
Denominator
If the grass triples in height every ten days, what is r?
3
What is the letter we use for the interest rate when working with compounding interest.
i
Each level of the Richter scale indicates ____ times more shaking as the previous level.
10
On the pH scale, which substance is more acidic? A substance with a pH level of 2.0 or 12.0?
2.0
On the decibel scale, an increase in ten dB corresponds to a _____ times increase in sound intensity.
10
If the the population of ants halves every seven days, what is n?
What is 7?
When working with compounding interest, what variable corresponds to the length of the investment.
t
How many times more intense is an 8.0 on the Richter scale as opposed to a 6.0?
100
How does the formula for comparing acidity differ from the formulas for comparing earthquakes?
The pH levels are placed in the exponents with a negative coefficient.
How does the formula for comparing sound intensities differ from the formula used for comparing earthquakes?
The decibel value is divided by ten when placed in the exponent.
In exponential decay problems, what is r?
0 < r < 1
If my interest rate compounds quarterly, what is n?
4
Where was the largest earthquake ever recorded?
Chile
100000
If the half life of a radioactive substance is 1010 days, how much of the substance will be left after 505 days? Round to the nearest percent.
71%
If you deposit $500 into the bank at a interest rate of %7.5 / year compounded monthly, how much money will you have after 10 years? Round to the nearest dollar.
$1056
What magnitude on the Richter Scale was the most powerful earthquake ever recorded?
9.5
Bleach has a pH of 13. The lake water is is 1,000,000 time more acidic more acidic. What pH is the lake water?
7
What dB level will cause immediate damage to your ears?
120 dB