The average depreciation in value of a new car is 20% at the end of the first year. The depreciation rate then drops to 10%yearly for the next four years. Suppose that after one year, a car that was purchased new is worth $27,560 after the initial depreciation.

What is the value of the car four years later?
$18,082
$17,956
$17,455
$18,628

17

step-by-step explanation:

51/3=17

thus 17 is your 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

4n=2m

ratio of m to n: 2/4 = 1/2

answer

a. 1/2