Why do I object so [1.01 to the power of 365 and 0.99 to the power of 365]

background

HR I posted a picture in my circle of friends , The general meaning of the picture is ： Many a little make a mickle
$$1.01^{365}=37.780.99^{365}=0.026$$
The equation is written as The formula 1

I wanted to reply to his circle of friends , To refute the calculation of this picture , But think about it .

reason

One

Many a little make a mickle , There is nothing wrong with accumulating and developing . But when did the idiom begin product Really change “ The product of ” 了 ?
Let's take a look at Baidu Encyclopedia's explanation of this idiom ：

Many a little make a mickle , It also makes a lot of small things . As long as we keep accumulating , It will change from less to more .

explain
Accumulated bit by bit , It will change from less to more .

It can be seen that , The word "Ji" in this idiom should do The accumulation of , In mathematics Add , That is, the following formula , Write it down as The formula 2：

$$1.01\ast 365=368.650.99\ast 365=361.35$$
But some friends replied ,“ use Compound interest The way to calculate , The picture also makes sense ”. I strongly disagree with , See analysis below .

Two

These two mathematical equations ,1.01 and 0.99 Each represents a person's growth value in a certain day .

I'm not sure The formula 1 Next ： The initial value of growth per person per day （ Do not grow, do not retreat ） How much is the ？ Let's analyze them one by one ,0 Do you still 1 Well ?

0

If it is 0 ? And assume that these two equations are OK , How one grows every day 0.99 And daily growth 1.01 The difference is so great ?
Then I follow the original logic of the formula , If one person grows every day =1

$$1^{365}=1$$

It means ： This person's efforts 365 Days of results and efforts 1 The result of the day is the same ？
therefore ： At the starting value =0 Under the condition of , The formula 1 Don't set up .

1

yes 1 Do you ？ If it is 1, that 0.99 What's the situation ？0.99 - 1 = -0.01 Is not it equivalent to stepping back ? A year has gone by , Calculate the total growth of this year = Positive numbers ?
therefore ： At the starting value =1 Under the condition of , The formula 1 It doesn't work either .

Sum up

$$1.01^{365}=37.780.99^{365}=0.026$$

This formula is used in the calculation of people's effort , I did use it wrong .

Conclusion

• Some articles, some pictures and words in the circle of friends , We still need to use our brains , Don't follow the wrong conclusions of others , Especially the poisonous chicken soup .
• Effort is really necessary , Work harder every day , Although accumulated for one year, it may not have obvious effect . But what we are fighting is Life is a marathon ！