Afurniture shop refinishes cabinets. employees use one of two methods to refinish each cabinet. method 1 takes .5 hours and material costs $9. method ii takes 1.5 hours, and the material costs $8. next week, they plan to spend 80 hours in labor and $642 in material for refinishing cabinets. how many cabinets should they plan to refinish with each method? method 1 and method ii

it would be a on edgenuit y

the diagram below is your final answer

(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