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A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: $? 200$ for the first day, $? 250$ for the second day, $? 300$ for the third day, etc., the penalty for each succeeding day being $? 50$ more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?

Precalculus

Chapter 5

Arithmetic Progressions

Section 3

nth Term of an AP

Introduction to Sequences and Series

Campbell University

Harvey Mudd College

Idaho State University

Utica College

Lectures

02:18

A sequence is a collection…

01:42

00:44

If a contractor does not c…

05:01

construction A constructio…

02:46

Solve each problem using t…

01:28

Small Business An electric…

02:41

Work Problem A constructio…

04:20

An accountant for a corpor…

01:17

A person-day is a unit of …

01:40

A painter works on a job f…

01:05

An employment agency charg…

10:11

$$\begin{array}{l}{\te…

02:47

Roofing. $\quad$ A homeown…

07:36

A construction firm is cur…

03:29

Scheduling Equipment. An e…

04:04

(III) I agree to hire you …

07:03

A landscape company is hir…

02:20

Labor Costs A plumber and …

04:12

Roofing Houses. A homeowne…

01:24

Solve.During the holid…

01:55

Labor costs A plumber and …

we are going to do problem number 15. And discussion a contractor on construction jobs specifies personality. Okay? So if the work is delayed beyond a certain date than for first date, uh it is finality is up ₹200.200. Then it is up to 50 on the second day, then it is a 300 minutes. The penalty is increasing rupees 50 per day. Okay, So this is uh the work is delayed still 30 days. So We have already are still 30 days. We have to keep on adding 30. Uh keep on adding 5030 times sir. So we need to find the total money. The contractor has to pay a penalty. Okay? So we need to find this somewhere as this is an ap so we can have this some momentum as and by two Multiply took to air plus and -1 into the. Okay, so here And is 30, so you get 30, that goes to 30 x two 30 by to multiply two. In this case is 200-200 is 400 Plus and -1. So this is 30 minutes one, that is 29 into 50. So let's see how much it is coming. 30 x two, that is 15 and it is multiplied to 400 29 29 and 250. So that is the cost of 1450. So let's just do that. But Now this is 15, multiplied to this is 18 15, that is yeah on the digestion will deploy and see how much it is going. There is 1850 multiplied to 15. So this is 27,750. This is 27,750. Do you write five similarly here. So this much amount should be paid by the contractor. The work is delayed for 30 days. Okay so zero ahead. This is the answer. Thank you.

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