The volume of B is twice that of A
if Vb=2hpir^2
and Va=hpir^2
compare
2hpir^2
hpir^2
twic as big
Volume of B is 2 times that of Volume of A
Answer:
See below
Step-by-step explanation:
Firstly, we'll dilate EFGH by any scale factor.
<u><em>Let's find the scale factor first.</em></u>
=> Scale Factor = 
=> Scale Factor = 
=> Scale Factor = 1.5
1) Dilate the figure by a scale factor of 1.5
2) Reflect it across the origin
3) Translate (Move) 5 units down and then 10 units left.
These transformations will map EFGH onto its image.
The monthly payment on the mortgage is option C) $2537.44
<u>Step-by-step explanation</u>:
- Principal (P): $
295,000
- Rate (r): 6.3% = 0.063
- Number of times compounded (n): 12months
15 years = 180
- Number of years = 15
The formula is A = P(1 + r/n)^nt
⇒ A = 295000(1+0.063/180)^(180
15)
⇒ A = 295000(180.063/180)^2700
⇒ A = 295000 (1.00035)^2700
⇒ A = 758854.5
Interest = Amount - Principle
⇒ 758854.5 - 295000
⇒ Interest = 463854.5
∴ The monthly payment for 15 years = 463854.5 / (15
12)
The monthly payment on the mortgage = 2576.9 (approximately option C)
Answer:

Step-by-step explanation:
Given
--- sample
--- degeneration rate
From the findings, we have:
--- tested positive
--- total test
Required
The positive predicted value (PPV)
This is calculated using:

i.e.


Express as percentage


Short answer: 98
Remark
when you have an average of 71, it's like saying that you took 4 quizzes and got 71 on all of them.
Step One
Find the total point count for the 4 quizzes.
T_4 = 71 * 4 = 284
Step Two
Create an equation that will give you the necessary point count to average 86.
284 + 5*x = 86 * 9
Why did we do this? It is because you have 9 quizzes altogether. All nine must be something that gives a point count of 86 on each quiz. You have to put together 9 such quizzes with a total count of 774.
Step three
Solve the equation.
284 + 5x = 774 Subtract 284 from both sides.
5x = 774 - 284
5x = 490 Divide by 5
x = 490/5
x = 98
You must get an average of 98 on the next 5 quizzes
Answer: 98 <<<<<