Jake earns $38,000 in his first year of working and earns a 2.5% increase in each successive year. Find Jakes total earnings for his first 12 years of working, to the nearest cent.

Respuesta :

Answer:

$524,231.01

Step-by-step explanation:

use geometric series formula:

[tex]S_n=\frac{a(1-r^n)}{1-r} [/tex]

where [tex]a[/tex] is the the first term in the sequence and [tex]r[/tex] is the common ratio

Therefore, [tex]a=38000[/tex] and [tex]r=1.025[/tex]

[tex]S_{12} =\frac{38000(1-1.025^{12})}{1-1.025} =524 231.01[/tex]