Algebra 2 uses compound interest to practice exponential and logarithmic equations. Finding the balance is only the start: solving for the time or the rate means taking a logarithm, and continuous growth uses A = Pe^(rt), with the natural log to undo it.
Round money to the nearest cent, times to the nearest tenth of a year and rates to the nearest hundredth of a percent.
Find the balance or interest compounded n times a year
$1500 is invested at 2% compounded semiannually. Nothing is added or taken out for 6 years. Find the interest earned.$190.24
$4700 is invested at 11% compounded annually for a child's future. Find the balance after 19 years.$34137.72
$7200 is invested at 14% compounded weekly (52 times a year) in a savings account and left for 22 years. Find the interest earned.$148813.46
$1800 is invested at 7% compounded semiannually, and nothing is withdrawn. Find the balance after 7 years.$2913.65
$4900 is invested at 10% compounded monthly in a certificate of deposit. Find the balance after 17 years.$26634.06
Solve continuous compounding problems
$4000 is invested at 9% compounded continuously. Find the balance after 13 years.$12887.97
How long does it take $3500 to grow to $5250 at 4% compounded continuously?10.1 years
$7500 is invested at 8% compounded continuously. How many years until it grows to $22,500? Round to the nearest tenth of a year.13.7 years
$4000 compounded continuously grows to $7500 in 2 years. Find the annual rate, as a percent to the nearest hundredth.31.43%
$500 is invested at 4% compounded continuously for a term of 2 years. Find the interest earned.$41.64
How long does it take $2500 to grow to $3750 at 5% compounded continuously?8.1 years
How much must be invested at 6% compounded continuously to have $22,000 after 18 years? Round to the nearest cent.$7471.10
How long does it take $5500 to grow to $11000 at 6% compounded continuously?11.6 years
An account compounded continuously grows from $12,200 to $23,650 in 28 years. Find the annual interest rate, as a percent to the nearest hundredth.2.36%
$9000 compounded continuously grows to $16500 in 5 years. Find the annual rate, as a percent to the nearest hundredth.12.12%
Find the deposit needed now
How much must be invested now at 5% compounded continuously to have $10000 in 17 years?$4274.15
How much must be invested now at 7% compounded annually to have $2500 in 11 years?$1187.73
How much must be invested now at 2% compounded quarterly to have $1000 in 13 years?$771.55
How much must be invested now at 6% compounded monthly to have $10000 in 4 years?$7870.98
How much must be invested now at 2% compounded annually to have $5000 in 12 years?$3942.47
How long does it take $5000 to grow to $8000 at 6% compounded continuously? Round to the nearest tenth of a year.
Divide by 5000: e^(0.06t) = 1.6.
Take the natural log: 0.06t = ln 1.6 ≈ 0.4700.
Divide by 0.06: t ≈ 7.83.
The answer is 7.8 years.
Where students go wrong
Taking the log before dividing out the principal. ln(5000e^(0.06t)) is not 5000 times 0.06t; isolate the power first, then take the log.
Also called continuous compounding, interest formula or exponential growth.
What you can put on this worksheet
Compounded a set number of times a year
$1100 is invested at 5% compounded annually. Nothing is added or taken out for 8 years. Find the interest earned.→ $525.20
Compounded continuously
$1100 is invested at 5% compounded continuously. Nothing is added or taken out for 8 years. Find the interest earned.→ $541.01
How long it takes to double
How many years does it take money invested at 5% compounded semiannually to double?→ 14.0 years
The deposit needed now
How much must be invested now at 5% compounded annually to have $8000 in 16 years?→ $3664.89
Continuous compounding: the rate or the time
How long does it take $5500 to grow to $16500 at 7% compounded continuously?→ 15.7 years
Solve for the number of steps or the rate
A town of 59,000 people grows by 3.6% a year. After how many years does it have 70,413 people?→ 5 years
Questions about these worksheets
Yes. Every compound interest sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Algebra 2 is usually taken around 10th or 11th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the compound interest questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 6: compounded a set number of times a year, compounded continuously, how long it takes to double, the deposit needed now, continuous compounding: the rate or the time and solve for the number of steps or the rate. Tick as many as you want and set how many of each, or let it spread them evenly.
Putting the yearly rate in without dividing it. Compounded monthly means one twelfth of the rate twelve times a year, not the whole rate twelve times, and the difference is enormous over twenty years.