<span>-12+2b=12-6b
-12+8b=12
8b=24
b=3</span>
Base on my calculations, the answer is not in the choices given. First, we have to acknowledge that the interest rate given is not the effective interest rate instead it is called the nominal interest rate therefore we have to convert it first to an effective interest rate. We use the following formula:
Effective Interest rate = [[1 + (r/m)]^m] - 1 where r is the nominal interest rate and m is the number of compounding times
For this case, m is equal to 2 since it is compounded semianually.
Effective Interest rate = [[1 + (.12/2)]^2] - 1 = .1236
We then use the calculated effective interest rate to the formula for the Compound Interest Rate Formula.
Future Value = Present Value (1 + Effective interest rate)^(no. of years)Future Value = 3000 (1 + .1236)^( 3) = 4255.56 dollars
Answer: In 12 months they will have the same amount, which will be $520.
Step-by-step explanation:
220 + 25m = 100 + 35m
m = month
Subtract 100 from each side
120 + 25m = 35m
Subtract 25m from each side
120 = 10m
Divide each side by 10
12 = m
6.25 per circle to balance the hanger