Question

Kaizen is a Japanese word that means continuous
development. It says that each day we should focus
on getting 1% better on whatever we're trying to
improve.
How much better do you think we can get in a year if
we start following Kaizen today?
Note: You can take the value of (1.01)365 as 37.78
%​

Answer 1

Answer:

Step-by-step explanation:

In 1 day 1% better

So in 365 days we can get

365×1.01×100=3.68% approx.

Answer 2

Answer:

Step-by-step explanation:

1 .

What do we need to do?

To find how much we get better in a year, let's increase a number by 1\%1%1, percent every day for 365365365 days.

We need to be careful here. Increasing by 1\%1%1, percent 365365365 times is not the same as increasing by 365\%365%365, percent.

2.How to think about a percentage increase?

Let's look at a simpler way to imagine a 1\%1%1, percent increase.

A , percent increase in a number makes it 100\% + 1\% = 101\%100%+1%=101%100, percent, plus, 1, percent, equals, 101, percent of itself.

101\% \text{ of } N = \dfrac{101}{100} \times N = 1.01 \times N101% of N=

100

101

​

×N=1.01×N101, percent, start text, space, o, f, space, end text, N, equals, start fraction, 101, divided by, 100, end fraction, times, N, equals, 1, point, 01, times, N

So, multiplying by 1.011.011, point, 01 and increasing by 1\%1%1, percent mean the exact same thing!

Hint #33 / 5

Finding the value after one year

Let's start with the number 111 today and see what happens to it after 365365365 days.

If we increase 111 by 1\%1%1, percent every day for 365365365 days, the final number should look something like this :

\begin{aligned} N&= 1 \times 1.01 \times 1.01 \text{ .. 365 times}\\\\ &=1 \times (1.01)^{365}\\\\ &=1 \times37.78 \\\\ &=37.78\end{aligned}

N

​

 

=1×1.01×1.01 .. 365 times

=1×(1.01)

365

=1×37.78

=37.78

​

Hint #44 / 5

Finding percentage increase

Here, total increase in a year is 37.78 - 1 = 36.7837.78−1=36.7837, point, 78, minus, 1, equals, 36, point, 78.

So, percentage increase will be:

\dfrac{36.78}{1} \times 100 \% = 3678\%

1

36.78

​

×100%=3678%start fraction, 36, point, 78, divided by, 1, end fraction, times, 100, percent, equals, 3678, percent

Truly remarkable!

Hint #55 / 5

If we follow Kaizen, we can get 3678\%3678%3678, percent better than how good we are today. That's approximately 373737 times better!