Before a baker opened a new sack of flour, the sack weighed 16.25 pounds. After baking all day, the sack weighed 3.8 pounds.

Mathematics

1 answer:

Yuki888 [10]2 years ago

3 0

Answer:

14.25 lb

Explanation:

To get the answer, we need to subtract the final amount of flour at the end of the day from the original amount of flour.

16.25 - 3.80 = 14.25

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Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: $P=P_oe^{kt}$

P: final population
P₀: initial population
k: rate of decay (or growth)
t: time

Use the half life information to find k:

$\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}$