The formula for the volume of a sphere is V=(4/3) (pi) r^3. if r is doubled then you get 2r as the radius and V=(4/3) (pi) * 8r^3 so the volume is eight times bigger than the original r value. if r is tripled the r =3r and (3r)^3 so the volume is 27 times bigger. If r is multiplied by n the radius is nr and (nr)^3 =n^3 r^3, Therefore, the volume is n^3 times bigger than the original.
If you're given 78 and 82 the answer is a simple average
(78 + 82 + s)/3
Use the formula of the present value of annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 50760
PMT annual Social Secrity benefit ?
R average annual salary0.42
N time 35 years
We need to solve for pmt
PMT=Pv÷[(1-(1+r)^(-n))÷r]
PMT=50,760÷((1−(1+0.42)^(−35))÷(0.42))
=21,319.20
Answer:
6,400,000,000 (6.4 billions)
Step-by-step explanation:
We have a total of 10 digits, and each digit was 10 possibilities of being filled, except the first digit of the area code and first digit of the telephone number, that have only 8 possibilities.
So if 8 digits have 10 possible values and 2 digit has 8 possible values, the number of possible telephone numbers is:
10^8 * 8^2 = 6,400,000,000 (6.4 billions)
The correct answers are the second option (Option B) and the last option (Option E).
The explanation is shown below:
1. By definition, a geometric sequence is a sequence of numbers each number, after the first one, is the result of multiply the previous number by a common ratio.
2. The Option B has the following common ratio:
(2/3) / (4/9)=1.5
1/(2/3)=1.5
r=1.5
3. The Option E has the following common ratio:
-15/3=-5
75/-15=-5
r=-5