Cardinal industries purchased a generator that cost $11,000. it has an estimated life of five years and a residual value of $1,000. it is estimated that it will be good for 5,000 hours. compute the depreciation expense for the first year using the units-of-activity method of depreciation assuming the generator was used for 1,040 hours. a.$2,080 b.$208 c.$2,288 d.$2,000

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step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week