The percent change from one period to another is calculated from the formula:
<span><span> Where:<span>PR = Percent Rate
VPresent = Present or Future Value
VPast = Past or Present Value</span></span><span>The annual percentage growth rate is simply the percent growth divided by N, the number of years.</span>
(415.79-200)/200*100=107.89
The annual<span> percentage growth rate is simply the percent growth divided by N, the number of years.</span>
<span>
</span><span>107.89/15=7.193</span>
</span>
Answer:
Step-by-step explanation:
Since we are given the common ratio (3/2), all we need to find to define the geometric sequence, is its multiplicative factor (
) that corresponds to the first term of the sequence - remember that all consecutive terms will be generated by multiplying this first value repeatedly by the common ratio (3/2) as shown below:
Since we are given the information that 
we can use this to find the value of the first term:
Notice as well that the first term doesn't contain the common ratio, the second term contains the common ration (3/2) to the power one, the third one contains the common ratio to the power two, the fourth one contains it to the power three, and so forth. So the exponent at which the common ratio appears is always one unit less than the order (x) of the term in question. This concept helps us finalize the expression for the sequence's formula:
<span>An oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic feet, solve for the height in terms of the other sides.
Given:
volume of 24 cubic feet
Required:
height
Solution:
V = 24 cubic feet
assume that the length, weight and height of the box are all equal
so l = w = h
24 = l^3
l = 2.88 feet</span>
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
The graphs of 
can be obtained from the graph of the cosine function using the reciprocal identity, so:
But in this problem, the graph stands for the function:
Because the period is now 4π as indicated and for 
in the figure and this can be proven as follows:
Also, 
as indicated in the figure and this can be proven as:
Answer:
1. The rectangular prism is a right prism with rectangular bases (check the picture)
2. It has 8 vertices, so we are looking for 3d figures with 4 vertices.
3. A face can have at least 3 vertices, and the 4th must be outside of the plane determined by the first 3 vertices. This makes 4 vertices in total.
4. The 3d figure described in step 3 is a pyramid.
so the answer is prism
Step-by-step explanation:
