Find the midpoint of the segment with the following endpoints.
(10, 2) and (5,-7)

Step-by-step explanation:

(10 + 5)/2 = 15/2

(2 - 7)/2= -5/2

(15/2, -5/2)

(7.5 , -2.5)

Step-by-step explanation:

Sub the values into this formula

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

(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