Financial Mathematics

Logarithms

100

Solve for x: 4^x=256

x=4

200

Solve for x: 200(1.04)^x=600

x=28.01

300

200(1.03)^2x=800

x =23

Interest Compounded Annually

100

You invested $52,400 at 6% compounded annually for 5 years. What is the interest earned on this investment?

$17723.02

200

What capital would you need to invest to have an accumulated value of $1081.60 over 2 years with a 4% interest rate. 

$1000

300

At what interest rate would you need to invest $2000 for it to reach $2552.56 after 5 years? 

5%

Interest Compounded Several Times a Year

100

Brenda invests $4,848 in a savings account with a fixed annual interest rate of 5% compounded 2 times per year. What will the account balance be after 6 years?

$6520.02

200

Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?

$8,361

300

If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until there is $8000 in the account?

x = 7.9

Simple Interest

100

Wayne invests $3000 and earns 5.3% simple interest for 5 years. How much interest does he earn?

$795

200

How many years would Mike have to invest $20 600 at an 8% interest rate for it to accumulate to $23 896. 

2 years

300

At what interest rate would you need to invest $4000 if you want $4480 after 4 years. 

3%