<h3>Answer:</h3><h3>Exact volume =
32pi</h3><h3>Approximate volume =
100.48</h3>
The approximate volume only applies when pi = 3.14
Use either answer, but not both of course.
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Work Shown:
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*8
V = pi*32
V = 32pi .... exact volume in terms of pi
V = 32*3.14
V = 100.48 .... approximate volume when we use pi = 3.14
The Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The graph provided suggests the use of the points (3,-3) and (5,-3). The slope is:
The slope of the line is 0. It corresponds to a horizontal line
Answer:
The solution is X<18
Step-by-step explanation:
When Mason was solving the inequality he subtracted two from the equation instead of adding two to solve for x.
X-2<16
X<18
Given:
Initial investment 450
annual simple interest rate of 5%
Simple interest = Principal * interest rate * term
Simple interest = 450 x 0.05 x 14
Simple Interest = 315
Balance after 14 years: 450 + 315 = $765
We can use compounding interest, compounded once a year.
Total balance = Principal * (1 + interest rate / number of compounding)^(# compounding * term)
Total balance = 450 * (1.05)¹⁴
Total balance = 450 * 1.98
Total balance = 891
Based on these scenarios, the formula that will be used is the second formula, compounding interest formula. The balance at the beginning of year 15 is $891.
I used 14 as the number of years because the problem states at the beginning of year 15. This means 15 has not yet begun and interest is not yet earned.
