A clerk in a bank engaged in counting one rupee currency note. For the first 10 minutes quickly at a speed of Rs.150 per minute then he slows down and begins to count at a speed of Rs. 2 less
etery minute than previous minute. Find what time will he take to count a sum of Rs. 4500.

The time it would take the clerk to count a sum of Rs. 4,500 is 34 minutes

Step-by-step explanation:

The given parameters are;

The rate at which the clerk in the bank counted one rupee currency notes for the first 10 minutes =  Rs. 150/minute

After the first 10 minutes, the rate at which the clerk counted = Rs. 2 less than the previous minute

The time it will take the clerk to count Rs. 4,500 is given as follows;

The number of one rupee currency notes the clerk counts in the first 10 minutes = 10 × Rs. 150 = Rs. 1,500

The amount in one rupee currency notes the clerk counted at a decreasing rate of Rs. 2 less every minute = Rs. 4,500 - Rs. 1,500 = Rs. 3,000

From the 11th minute the number of rupees the clerk counts = Rs. 150 - Rs. 2 = Rs. 148

We have an arithmetic progression with the first term, a = 148, and the common difference, d = -2

The sum of n terms of an AP,

Which gives;

3000 = 149·t - t²

Which gives;

t² - 149·t + 3,000 = 0

(t - 24) × (t - 125) = 0, therefore, t = 24 minutes or t = 125 minutes

The time it would take the clerk to count a sum of Rs. 4,500 = 10 + 24 = 34 minutes.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.