Coin SprouterPowerhouse · exponents and exponential functions

Coins that sprout more coins: compound interest.

Compound Interest

Compound interest. In MathBound, the free Algebra I adventure game, Coin Sprouter asks these problems, and the only way past is to solve them.

Part of Exponents and Exponential Functions: chapter 7 of the standard course.

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Compound Interest. Find a balance compounded yearly, and why it is not P(1 + nr).

Made by the game’s own question engine. Try each one, then open its steps.

$2, 500

is

invested

at

4%

interest

compounded

yearly.

What

is

the

balance

after

4

years ?

Show the worked steps

Answer: $$2, 924.65$

$500

is

invested

at

6%

interest

compounded

yearly.

Which

rule

gives

the

balance

A

after

t

years?

Show the worked steps

Answer: $A = 500 (1.06)^{t}$

$2, 000

is

invested

at

6%

a

year,

compounded

twice

a

year .

What

is

the

balance

after

4

years ?

Show the worked steps

$Each$ $period$ $earns$ $\frac{6}{2} %,$ $and$ $there$ $are$ $2 \cdot 4 = 8$ $periods.$
$2000 (1 + \frac{0.06}{2})^{8} \approx $2, 533.54 .$

Answer: $$2, 533.54$

Textbook	Lessons
Standard course	7.5
Big Ideas Math Algebra 1	6.4
Big Ideas Math Algebra 1 (2022)	6.4
Carnegie Learning Algebra I	M3 2.1
CPS Skyline Algebra	2.6-2.7
enVision Algebra 1	6-3
enVision Algebra 1 (2024)	6-4
Eureka Math Algebra I (EngageNY)	3.4
Glencoe Algebra 1	7-6
HMH Into Algebra 1	11.3
Holt McDougal Larson Algebra 1	7.4
Illustrative Mathematics Algebra 1	5.16-5.18
Illustrative Mathematics Algebra 1 (v.360)	6.16-6.18
Math Nation Algebra 1 (Florida B.E.S.T.)	13.2
Pearson Algebra 1 Common Core	7-7
Reveal Algebra 1	9-3, 9-4
SpringBoard Algebra 1	23