Simple Interest
What is the formula for calculating simple interest?
SI = PRT/100
What is the formula for calculating compound interest?
A = P(1 + (r/n))^(nt) or A = P(1+R/100)^t
Factorize the following expression: x^2 - 4
(x-2)(x+2)
Solve the quadratic equation by factoring: x^2 - 4x - 5 = 0.
(x - 5)(x + 1) = 0, therefore x = 5 or x = -1.
Simplify the expression: 3(x + 2) - 2(2x - 1).
-x + 8 or 8 - x
If you invest $1,000 at an annual interest rate of 5%, how much interest will you earn in 3 years?
Interest = $150
You invest $5,000 in a savings account with an annual interest rate of 4.5% compounded annually. How much will you have after 5 years?
Factorize: 6x^2y^3 - 9x^3y^2.
3x^2y^2(2y - 3x)
Solve the quadratic equation by factoring: x^2 - 12x + 36 = 0.
(x - 6)(x - 6) = 0, therefore x = 6.
If a = 3, b = -2 and c = 5, find the value of (ac - b)/b^2
Answer = 4.25
You borrow $5,000 at an interest rate of 8% per year. How long will it take to repay $6,200 in total?
Time = 3 years
Calculate the compound interest a merchant would have to pay if he borrows $54,000 for 9 years at 12% per annum.
CI = $95,746.25
Factorize: 2x^3 - 4x^2 + 5x - 10.
2x^2(x - 2) + 5(x - 2)
(2x^2+5)(x-2)
Solve the quadratic equation by factoring: 2x^2 + 5x - 3 = 0.
(2x - 1)(x + 3) = 0, therefore x = 1/2 or x = -3.
Solve for x: 2x + 5 = 11
If you want to earn $600 in interest from a $12,000 investment in one year, what interest rate do you need to receive?
Interest rate = 5%
If you invest $1,000 at a 6% annual interest rate compounded quarterly, how much will you have after 2 years?
Factorize: 4x^2 + 6xy + 9y^2.
(2x - 3y)^2
Solve the quadratic equation using the quadratic formula: x^2 + 5x + 6 = 0.
x = -3 or x = -2
Solve for x in the equation: 2(4x - 3) = 5x + 7.
x = 6
You deposit $10,000 in a savings account that offers a 2% annual interest rate. How long will it take for your money to double through simple interest?
Time = 50 years
You want to have $50,000 for a down payment on a house in 7 years. If you can earn 7% interest compounded semi-annually, how much should you invest today to reach your goal?
P = $30,889.09
Factorize: 4b^2 + 8b + 7 = 4
(2b+1)(2b+3)
Solve the quadratic equation using the quadratic formula: 3x^2 - 7x + 2 = 0.
x = 1 or x = 1/6
Find the value of x 3(x + 4) - 2(2x - 3) = 5.
x = 13