Answer:
n = 1, A = $2,191.12
n = 2, A = $2,208.04
n = 4, A = $2216.71
n = 12, A = $2222.58
n = 365, A = $2225.44
Compound continuously, A = $2,225.54
Step-by-step explanation:
We are given the following in the question:
P = $1000
r = 4% = 0.04
t = 20 years
Formula:
The compound interest is given by
where P is the principal, r is the interest rate, t is the time, n is the nature of compound interest and A is the final amount.
For n = 1
For n = 2
For n = 4
For n = 12
For n = 365
Compounded continuously:
Answer:
Concept: Number Analaysis
- The first option goes back 9 spaces hence
- Second one you to forward 10 spaces hence
- Using that logic solve the rest!
D because 180= angle 1 + angle 2 so to find the answer just subtract 180 by angle 1 to find angle 2, angle 1 being 7x, so 180-7x
Answer:
So, the number of combinations is 57600.
Step-by-step explanation:
From Exercise we have
5 different history textbooks
4 different science textbooks
For the place in the middle we have 4 books so the number of combinations for that place is 4.
For the places at the end of the shelf I have 5 books, I need 2, so the number is a combination:
2· \frac{5!}{(5-2)!·2!}=2·10=20
For the 6 places on the shelf I have 6 books so the number is a combination 6!=720
So, the number of combinations is:
4·20·720=57600.
Add 12 to both sides
2|n| = 16 + 12
Simplify 16 + 12 to 28
2|n| = 28
Divide both sides by 2
|n| = 28/2
Simplify 28/2 to 14
|n| = 14
Break down the problem into these 2 equations
n = 14
-n = 14
Solve the 1st equation: n = 14
n = 14
Solve the 2nd equation: -n = 14
n = -14
When you collect all solutions;
<u>n = ±14</u>