investment account
[investment account|investment account] An investment account's value after a certain number of years is represented by the equation A = 10,250 (1 + 0.04/12)^120.
Definition
investment account An investment account's value after a certain number of years is represented by the equation A = 10,250 (1 + 0.04/12)^120. The formula for the amount A in an investment account with continuous compounding is A(t) = a(e)^rt, where a is the initial principal.
Mechanism
investment account is a financial tool that allows individuals to grow their money through investments. The mechanism involves compounding interest, where earnings are reinvested to generate additional earnings. Continuous compounding uses the formula A(t) = a e^(rt), while monthly compounding is represented by A = 10,250(1 + 0.04/12)^120.
Comparison
investment account compares the future value of an initial $4,000 deposit with an annual 7% interest rate compounded annually, quarterly, monthly, and continuously over 9 years.