Answer:
B $5904.90
Step-by-step explanation:
Hello
in a geometric sequence the values are multiplied by a factor, Let´s find it
    year         Value %
  (A)year 1        10000
  (B)  year 2        9000
  (C) year 3        8100
[tex]\\ \frac{S_{n} }{S_{n-1} } \\\\\frac{S_{2} }{S_{1} }=\frac{9000}{10000}=0.9\\\frac{S_{3} }{S_{2} }=\frac{8100}{9000}=0.9[/tex]
the factor is 0.9
making the table
year 1=10000
year2=10000*0.9=9000
year 3=9000*0.9=8100
year 4=8100*0.9=7290
year 5=7290*0.9=6561
year 6 =6561*0.9=5904.9
after 6 years the equipment will be worth $5904.9
I hope it helps
