Question

algebra

Answer 1

@AnitaS. @Mehek14 @sweetburger

Answer 2

@AlexandervonHumboldt2

Answer 3

@AloneS

Answer 4

@CandyCove

Answer 5

If you start with 1, and you lose 60%, what do you end up with?

Answer 6

that the problem that i dont know

Answer 7

@Somy

Answer 8

Let's do it this way, then.
If you start with 100 and you lose 60%, what do you end up with?

Answer 9

40?

Answer 10

Correct.
Since 60% of 100 is 60, when you start with 100 and lose 60 you end up with 40.

Answer 11

Thinking the same way, if 60% of 100 is 60, then 60% of 10 is 6 and 60% of 1 is 0.6.
Ok?

Answer 12

correct

Answer 13

Good.

Answer 14

Ok. Keep that in mind.
Now let's look at this.
If you lose 60%, you end up with 40%.
Roberto started with 100,000 hairs.
After 1 year, he lost 60% of them, so he ends up with 40% of them.

Answer 15

how how the hairs

Answer 16

2560?

Answer 17

Begin now: 100,000
After 1 year: 100,000 * 0.4
After 2 years: (100,000 * 0.4) * 0.4

Answer 18

Each year, multiply the previous year by 0.4

Answer 19

Correct. After 4 years he has 2560 hairs left.

Answer 20

new post

Answer 21

We still need the formula, though.

Answer 22

Notice that each year you multiply by 0.4


End of year 1: Remaining amount = 100,000 * 0.4 = 100,000 * (0.4)^1
End of year 2: Remaining amount = 100,000 * 0.4 * 0.4 = 100,000 * (0.4)^2
End of year 3: Remaining amount = 100,000 * 0.4 * 0.4 * 0.4 = 100,000 * (0.4)^3
etc.

Answer 23

How did we get the 0.4 that we raise to a power?
0.4 is the remaining fraction of the hair after each year.
In the beginning of a year, he starts with an amount of hair, 1.
Then he loses the fraction 0.4 by the end of the year.
The amount of hair remaining at the end of the year is the fraction 0.4 = 1 - 0.6

End of year n: Remaining amount = 100,000 * (1 - 0.6)^n

End of year 4: Remaining amount = 100,000 * (1 - 0.6)^4