Question

A leprechaun places a magic penny under a? girl's pillow. The next night there are 2 magic pennies under her pillow. Each night the number of magic pennies doubles. How much money will the girl have after 23 ?nights?

Answer 1

Doubling the number every night will result in 4,194,304. How can that girl possibly sleep now with all those magic pennies?

Answer 2

Answer: The girl will have $524.288 (524,288 pennies) after 19 nights.

Explanation:

Hi, to answer this question we have to analyze the information given:

• Each night the number of magic pennies doubles
• Nights passed: 23

So, we have to write an exponential expression where the initial value (a) is 1, the multiplicative rate of growth (b) is 2, and the time period (x) is 19.

Mathematically speaking: (where "y” is the total money)

y = ab×

y = 1 x (2) ∧19 = 524,288 pennies

Since 1 dollar = 100 pennies,

524,288 / 100 = $524.288

The girl will have $524.288 (524,288 pennies) after 19 nights.