Agas station sells q gallons of gasoline per year, which is delivered n times per year in equal shipments of gallons. the cost of each delivery is d dollars and the yearly storage costs are sqt, where t is the length of time (a fraction of a year) between shipments and s is a constant which value of n minimize the costs? hint: express t in terms of n. (use symbolic notation and fractions where needed.)n = the optimal number of deliveries if q (your answer should be a whole number, so compare costs for the two integer values of n nearest the optimal value.)n =

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

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