Jerry uses an exercise program to help him eventually do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week. Show your work. a) In which week does Jerry expect to reach his goal? b) What is the total number of push-ups he will have done when he reaches his goal?

(a) Jerry expect to reach his goal by week 43rd.

(b) The total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Step-by-step explanation:

It is provided that Jerry wants to do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week.

the number of push-ups done each week by Jerry follows a arithmetic progression with the first terms as, a = 17, common difference as, d = 2 and the last terms as, l = 100.

(a)

Compute the number of week it takes Jerry to reach his goal as follows:

The nth term of an AP is:

Compute the value of n as follows:

Thus, Jerry expect to reach his goal by week 43rd.

(b)

Compute the total number of push-ups he will have done when he reaches his goal as follows:

The sum of n terms of an AP is:

Compute the sum as follows:

Thus, the total number of push-ups Jerry will have done when he reaches his goal is 2,537.

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40