Given:

Required:
To find the period and amplitude of the given function.
Explanation:
Given function is in the form of

Here the amplitude is

Period

Now consider the given function

Here the amplitude is

And period is

Final Answer:
The amplitude is 2 and the period is
Answer:

Step-by-step explanation:
The given data set is :{63, 70, 68, 73, 58, 67}
The mean absolute deviation is the mean of how far all the entries in the data set are from the mean. Follow the procedure below;
- find the mean of the data set
- find the absolute value of the difference between the mean and each entry.
- find the mean of these entries.
The mean is give by:



The mean absolute deviation is given by:




Answer:
V = 54π in³
Step-by-step explanation:
Volume of cylinder = <em>h * πr² --> b * h</em>, where b = area of circle
Substitute: V = 6 * π(3)²
Exponents: V = 6 * 9π
Multiply: V = 54π in³
Answer:
5 2/3's
Step-by-step explanation:
To solve this we are going to use the compound interest formula

where:

is the investment

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years

is the amount after

years
First, lets convert the interest rate to decimal dividing it by 100%:

Next, lets find

. Since we know that the interest is compounded every 4 months (quarterly), it will be compounded

times in a year, so

.
We also know that

and

, so lets replace all the quantities into our compound interest formula:


Notice that the the number of years

is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the exponential expression:





Now that we know

, the last thing to do is convert 0.43 years to months:

We can conclude that Jimmy's investment will take
6 years and 5 months to reach $25,000.