Compound interest exmaple
This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Let's look at an example of compound interest.
Suppose you invest $1000 at an annual interest rate of 5%, compounded annually.
Formula for compound interest: A = P(1 + r)ⁿ
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount ($1000)
r = the annual interest rate (5% or 0.05)
n = the number of years the money is invested or borrowed for
Step 1: Calculate the amount after 1 year.
A = 1000(1 + 0.05)¹
A = 1000(1.05)
A = $1050
Step 2: Calculate the amount after 2 years.
A = 1000(1 + 0.05)²
A = 1000(1.05)²
A = 1000(1.1025)
A = $1102.50
Step 3: Calculate the amount after 5 years.
A = 1000(1 + 0.05)⁵
A = 1000(1.05)⁵
A = 1000(1.27628)
A = $1276.28
After 5 years, your initial investment of $1000 would grow to $1276.28 with compound interest.
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