Question

A local bakery opened with new equipment worth $80,000. Ten years later, the owners’ accountants told them that their equipment had depreciated at a rate of 6 percent per year. Which equation would you use to create a sequence modeling this situation?(1 point)
Responses

an=80,000(0.06)n−1
𝑎
𝑛
=
80
,
000
(
0.06
)
𝑛
−
1
a subscript n baseline equals 80,000 left parenthesis 0.06 right parenthesis superscript n minus 1 baseline

an=80,000(0.06)n
𝑎
𝑛
=
80
,
000
(
0.06
)
𝑛
a subscript n baseline equals 80,000 left parenthesis 0.06 right parenthesis superscript n baseline

an=80,000(0.94)n
𝑎
𝑛
=
80
,
000
(
0.94
)
𝑛
a subscript n baseline equals 80,000 left parenthesis 0.94 right parenthesis superscript n baseline

an=80,000(0.94)n−1

Answer 1

an = 80,000(0.94)^(n−1)

Reason: a geometric sequence with initial value 80,000 and annual depreciation 6% uses common ratio 1 − 0.06 = 0.94, and the nth term is a1·r^(n−1).