formula is 
where A=final amount
P=principal
r=interest rate in decimal
n=number of times per year it is compounded
t=time in years
we want to find where
A=2P
and P=5745
and r=6.5%=0.065
n=monthly=12
remember that 
also that 
, solving for t
divide both sides by 5745 to simplify things a bit
I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

take ln of both sides


divide both sides by 

using our calculator, t≈10.6927
so rounded, we get 10.7 years
Answer
Find out the percent error in Annie's estimate .
To prove
Formula

As error = approx value - exact value
As given
Annie estimates that the height of a bookcase is 78.25 in.
The actual height is 75.50 in.
approx value = 78.25 in.
actual value = 75.50 in.
error = 78 .25 - 75 .50
= 2.75
put in the formula


Percentage error = 3.64 % (approx)
Therefore the Percentage error be 3.64 % (approx).
12
30
15
AND THE LAST ONE IS 2 LOL
and thank you for the points :))))) i appreciate it :’)
Answer:
the answer is 16
Step-by-step explanation:
The answer would be A.) 1
To find this answer you solve for x. Subtract 3/2 from both sides. This will give you 1/2x = 1/2^x. Then, divide by 1/2 on both sides to get x = 1.
To check this fill in x with 1. Then solve.
- 1/2 * 1/1 + 3/2 = 2^1
- 1/2 + 3/2 = 2
- 4/2 = 2
- 2 = 2
Thus making 1 the answer. Here's an image to show how I got this. I hope this helps!