Simple Interest
Compounded x times/year
Compounded Continuously
Word Problems
100

How much money is in the bank after 9 years if the principle amount is $2226 and has a 4% compound interest rate?

$3027.36

100

How much money is in the bank if $400 were invested for 5 years at a 5% interest rate?

$500

100

An investment is made by depositing $600 with an interest rate of 3.4% and is compounded continuously. How much money is in the bank after 11 years.

$872.12

100

Matt is saving for a new car. He invests $5000 into an account that pays 3% interest a year that is compounded monthly. How much will Matt have after 5 years?

$5808.08

200

Find the simple interest rate if the principal amount, P, is $7500 and is doubled in 50 years.

2%

200

Starting with a principle of $8800, determine the amount of money in the bank after 14 years from an account that is compounded quarterly at a yearly rate of 2.96 %.

$13298.16

200

An investment is made by depositing $4500 and is compounded continuously with an interest rate of 1.2%. How much money is in the bank after 5 years.

$4778.26

200

Brian lost a bet to Donald and now owes him 4% of his total wealth every year for the rest of his life. Before paying him anything, Brian has $785 in his checking account. Assuming that Brian never received any more money, how many years does it take for Brian to have exactly $0?

infinite amount / not possible

300

How much money was invested at 3.5 % annual simple interest for 4 years to earn $4182

$3368.42

300

A bank account contains $13996.72 after 5 years of being compounded monthly with an interest rate of 2.2 %. What was the principle amount?

$12540

300

An investment is made and results in $52,713.91 after 23 years being compounded continuously. If the interest rate was 1.2%, what was the principle amount?

$40000

300

Lindsey invests $1000 into an account with 4% per year continuously compounded interest. How long will it take for her investment to double?

17.3 years

400

For how many years does it take for $7250 to turn into $7900 on a 1.9% interest rate?

4.72 years

400

Starting with a principle of $19000, determine the amount of money added into the account after 3 years that is compounded semi-annually at a yearly rate of 1.6 %.

$930.43

400

$38000 is compounded continuously at an interest rate of 2.5%. How long does it take for the account to reach $45781.35?

7.45 years

400

Spencer and Gabriel both invest $5000 in an account that receives 3% interest annually for 10 years. Spencer invests in an account that is compounded monthly. Gabriel invests in an account that is compounded continuously. Who made the better investment?

Gabriel

500

If a bank account now holds $10499.30 after 6 years of paying a 2.7% tax interest rate, what was the principle amount in the bank?

$12529

500

Marie invests $50,000 into an index annuity that's averaging 8.4% per year compounded semi-annually. At this rate, how many years will it take for her account to reach $1,000,000?

36.4 years

500

If $1 million is desired in 30 years and $200000 is invested, what would be the desired interest rate?

5.4%

500

Jason invests his savings in two ways: Some goes into a corporate bond paying 14%, and $12000 more than three times as much goes into a municipal bond fund paying 3%. If his total annual interest from the two investments is $11860, how much is invested in each?

$50,000 for corporate bond and $62000 for municipal bond.