In still trying to figure out the equation for S=C(1+r/100)^5
to help me to find the inflated cost S, in 5 years, for sunglasses they cost 3.72103 in Afghanistan currency which will go into the C spot of the equation. which these glasses will cost $169.40 in U.S. Dollars. So how do I calulate to get the inflated rate for r%. in 5 years. also could it be that $169.40 is the inflated cost and I have to figure out the r% of $169.40 just confuse.
To calculate the inflated rate r%, you can rearrange the equation S = C(1+r/100)^5 to solve for r%. Here is a step-by-step explanation:
1. Start with the given equation:
S = C(1+r/100)^5
2. Substitute the known values into the equation:
S = 169.40 (the inflated cost in US Dollars)
C = 3.72103 (the initial cost in Afghanistan currency)
S = 3.72103(1+r/100)^5
3. Rearrange the equation to isolate (1+r/100) by dividing both sides by C:
S/C = (1+r/100)^5
4. Take the fifth root of both sides:
(S/C)^(1/5) = 1+r/100
5. Subtract 1 from both sides:
[(S/C)^(1/5)] - 1 = r/100
6. Multiply both sides by 100 and simplify:
r% = 100 * [(S/C)^(1/5)] - 100
Now, you can plug in the values for S and C and calculate the inflated rate r% for the sunglasses after 5 years.