SOLUTION: If an amount of money, called the principal, P, is deposited into an account that earns interest at a rate R, compound annually, then in 2 years that investments will grow to an a

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If an amount of money, called the principal, P, is deposited into an account that earns interest at a rate R, compound annually, then in 2 years that investments will grow to an a      Log On


   



Question 1091864: If an amount of money, called the principal, P, is deposited into an account that earns interest at a rate R, compound annually, then in 2 years that investments will grow to an amount A, given the formula A= P(1+r)^2. If a principal amount of $5000 grows to $6384.50 in two years, what is the interest rate?
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If an amount of money, called the principal, P, is deposited into an account that earns interest at a rate R, compound annually, then in 2 years that investments will grow to an amount A, given the formula A= P(1+r)^2.
If a principal amount of $5000 grows to $6384.50 in two years, what is the interest rate?
:
The equation.
5000*(1+r)^2 = 6384.50
(1+r)^2 = 6384.50%2F5000
(1+r)^2 = 1.2769
Find square root of both sides
1 + r = sqrt%281.2769%29
1 + r = 1.13
r = 1.13 - 1
r = .13; 13% is the interest rate