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 19 ?nights?

Answer 1

Answer: The girl will have $5242.88 after 19 nights.

Step-by-step explanation:
We know that exponential equation is given by :_
(1)
where A= initial amount
b= Multiplicative rate of growth
x= Time period.

Given : A leprechaun places a magic penny under a? girl's pillow. the next night there are 2 magic pennies under her pillow.
i.e. A= 1
Each night the number of magic pennies doubles.
i.e. b= 2
Put value of A and b in (1), we get
Put x= 19 , we get
Hence, the number of pennies the girl will get after 19 nights = 524288

Since 1 dollar = 100 pennies
? 1 penny = 0.01 dollar [Using unitary method , we divide both sides by 100]
? Total money in dollars =
Hence, the girl will have $5242.88 after 19 nights.