Step {{step}} of 4

Growth Engine

Adjust the principal to reach the target amount using continuous compounding:

Target at 10 years:
${{ Math.round(s1.targetA).toLocaleString() }}
$1,000$10,000
Fixed Rate (r): {{ s1.rate * 100 }}%
Equation:
Target Reached!

Decay Detective

Drag the handle to find the half-life (h) that fits the radioactive decay data:

Current Half-life: {{ s2.userH.toFixed(1) }} hrs
drag_indicator Drag the blue diamond on the x-axis to adjust the curve.
Perfect Fit!

The pH Scale

Place substances on the scale based on their Hydrogen ion concentration [Hโบ].

{{ item.emoji }}
All sorted!
{{ ph }}
{{ item.emoji }}
More Acidic Neutral (7) More Basic

Power Up the Quake

The Richter scale is logarithmic: Amplitude .
Find the magnitude that creates an amplitude {{ s4.targetMultiplier.toLocaleString() }}× greater than Magnitude {{ s4.baseMag }}.

Set Magnitude (M)
{{ s4.baseMag }} 9
M {{ s4.userMag }}
Current Multiplier vs M{{ s4.baseMag }}
= {{ Math.pow(10, s4.userMag - s4.baseMag).toLocaleString() }}×
Earthshattering Success!
๐Ÿ†

Master Modeler!

You've successfully used exponential and logarithmic functions to model money, radioactivity, acidity, and earthquakes!