Question

Number of red blood cells doubles evety 6 min . approximately hoe nanny minutes it take for red bkood cells to increase from 10^7 yo 10^10

Answer 1

Answer:

After 587.9 minutes

Step-by-step explanation:

Given in the question,

time after which red blood cells doubles = 6 minute

So,

Formula to use

Future value = initial amount x $2^x$

10^10 = 10^7 (2)^x

10^10/10^7 = 2^x

1000 = 2^x

take logarithm on both sides

ln 1000 = ln 2^x

ln 1000 = x ln2

ln1000/ ln2 = x

x = 9.965

x * 60

9.965 * 60

587.9 minutes

Answer 2

Answer:

If Number of red blood cells doubles every 6 min

Then Approximately in 60 mins red blood cells Increase from 10^7 yo 10^10

Step-by-step explanation:

Let say after t minutes red blood cells become from 10⁷ to 10¹⁰

$10^{10} = 10^7 \times 2^{(t/6)}$

$\implies 10^3 = 2^{(t/6)}\\\\\implies 1000 = 2^{(t/6)}$

as we know that 2¹⁰ = 1024 ≈ 1000

t/6 = 10

=> t = 60 min

Approx 1 hr

and to be more precise we take log

$log(10^3) = log(2^{(t/6)})$

3log10 = (t/6)log2

=> 3*1 = (t/6)(0.301)

=> t = 18/(0.301)

=> t = 59.8 Mins