In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of
per hour. Find the bacteria at the end of 2 hours if the count was initially

Ask by Brooks Bates. in India

Dec 27,2024

Question

In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of $$ 2.5 \% $$ per hour. Find the bacteria at the end of 2 hours if the count was initially $$ 5,06,000 $$

UpStudy AI · Accepted Answer

To determine the number of bacteria after 2 hours with an initial count of $$ 506,000 $$ and an hourly growth rate of $$ 2.5\% $$, we'll use the formula for **compound growth**:

$$
\text{Final Count} = \text{Initial Count} \times (1 + r)^t
$$

Where:
- $$ r = 2.5\% = 0.025 $$ (growth rate per hour)
- $$ t = 2 $$ hours

Plugging in the values:

$$
\text{Final Count} = 506,000 \times (1 + 0.025)^2
$$
$$
\text{Final Count} = 506,000 \times 1.050625
$$
$$
\text{Final Count} \approx 506,000 \times 1.050625 = 531,616.25
$$

**Therefore, the bacteria count at the end of 2 hours is approximately 531,616.**
After 2 hours, the bacteria count is approximately 531,616.

In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of
per hour. Find the bacteria at the end of 2 hours if the count was initially

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In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of per hour. Find the bacteria at the end of 2 hours if the count was initially