therealjadiy
contestada

20 PTS

From 2002 to 2012, the number of a particular make of cars sold at a dealership yearly declined to 500. The number is expected to decline at a rate of 2.8% each year. How many cars will be sold in 2020? Round to the nearest whole number. Show all your work.

Respuesta :

SaniShahbaz

Answer:

399 cars will be sold in 2020

Step-by-step explanation:

Using exponential decay formula:

[tex]y = a(1 - r)^{x}[/tex]

a = intial value at 2012 : 500

r = 2.8 %

[tex]= \frac{2.8}{100} = 0.028[/tex]

x = time interval : 8

[tex]y = 500 (1 - 0.028)^{8} \\y = 500 (0.972)^{8}\\y = 500 (0.797)\\ y = 399[/tex]