Compound Interest
You deposit $500 in a savings account that earns 4% interest compounded annually. How much money will be in the account after 3 years?
$562.43
500(0.90)^3
364.5
A=2000(1+0.03)^t
How much will it be in 5 years?
$2,318.55
You invest $500 at a 4% continuous interest rate for 3 years.
What is the final amount?
$563.75
A population of bacteria starts at 100 and doubles every hour.
How many bacteria are there after 4 hours?
1,600 bacteria
You invest $1,200 at 5% annual interest compounded yearly. How much will you have in 2 years?
$1,323.00
800(0.85)^4
417.6
200(1.05)^3
231.53
A bank account starts with $1,000 and earns 2% interest continuously for 5 years.
How much money will you have?
$1,105.17
You invest $300 at 5% annual growth.
How much is it worth after 2 years?
$330.75
You deposit $800 at 3% annual interest compounded yearly. What is the balance after 4 years?
$900.40
1200(0.95)^2
1083
800(1.03)^7
985.72
You invest $2,000 at 5% interest compounded continuously for 10 years.
Find the final amount.
$3,297.44
A TikTok account has 200 followers and grows by 10% each week.
How many followers after 3 weeks?
266 followers
You invest $1,000 at 5% annual interest compounded yearly. How many years will it take for the money to double?
14.2 years
600(0.93)^t=300
9.6
300(1.07)^t=600
10.24
A savings account has $750 and grows continuously at 3% for 8 years.
What is the value after that time?
$953.40
A town has a population of 5,000 that grows by 3% each year.
What is the population after 6 years?
5,970 people
You deposit $1,500 at 6% interest compounded semiannually. How long will it take for the account to reach $3,000?
11.7 years
900(0.96)^t=450
17.0
500(1.09)^t=1500
12.79
You invest $1,500 and it grows to $2,500 in 9 years with continuous compounding.
What is the interest rate?
5.67%
A YouTube channel has 1,200 subscribers and grows by 15% each month.
How many subscribers after 5 months?
2,413 subscribers