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Ann [662]
2 years ago
6

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich

, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells.
Required:
a. Find the relative growth rate.
b. Find an expression for the number of cells after t hours.
c. Find the rate of growth after 6 hours. (Round your answer to the nearest integer.)
d. Find the number of cells after 6 hours.
Mathematics
1 answer:
Feliz [49]2 years ago
4 0

Answer:

a. Relative Growth rate = 10% (6/60 * 100)

b. Number of cells after t hours = 50 * 1.1^t

c. Rate of growth after 6 hours = 77.2% (1.1⁶ - 1)

d. The number of cells after 6 hours is

= 89 cells

Step-by-step explanation:

A cell divides into two cells every 20 minutes

In one hour, the cell will divide into 60/20 * 2 = 6 cells

Each cell growth 6 cells per hour

Initial population of a culture = 50 cells

t = time in hours

a. Relative Growth rate = 10% (6/60 * 100)

b. Number of cells after t hours = 50 * 1.1^t

c. Rate of growth after 6 hours = 77.2% (1.1⁶ - 1)

d. The number of cells after 6 hours = initial population * growth factor

= 50 * 1.772

= 88.6

= 89 cells

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Division A reports the following data: Sales = $180,000, Net income = $18,000, Average'assets
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Step-by-step explanation:

Given parameters:

Division A:

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Division B:

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Net income = $9,600

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Unknown:

Division operating more efficiently = ?

Solution:

Efficiency measures the relationship between the output from a business and the input into it. Here, the efficiency is the relationship between the net income and the average assets. it can be expressed as a percentage or ratio.

The net income is the profit derived from sales of a company's products.

The higher the value the more efficient a company is.

 Efficiency = \frac{net income}{Average assets} x 100

 Efficiency of division A = \frac{18000}{72000} x 100 = 25%

 Efficiency of division B = \frac{9600}{48000} x 100 = 20%

Division A has a higher efficiency compared to B

Learn more:

Economic goals brainly.com/question/8951463

#learnwithBrainly

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Answer: 12 friends.

Step-by-step explanation:

the data we have is:

Mei Su had 80 coins.

She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:

The maximum number of friends that could have coins is when:

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I use 79 because "she gave most of the coins", not all.

We want to find the maximum possible N.

Then let's calculate:

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now we are close, lets add by one number:

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Then we have N = 12

This means that the maximum number of friends is 12.

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