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Sergio [31]
3 years ago
11

During the exponential phase, E. coli bacteria in a culture increase in number at a rate proportional to the current population.

If the growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

  197.2 million

Step-by-step explanation:

The appropriate exponential equation for the population is ...

  p(t) = 172.0e^(0.019t)

Then we can compute for t=7.2:

  p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2

7.2 minutes from now, the population will be about 197.2 million.

___

For continuous growth (or continuous compounding), the exponential formula is ...

  f(t) = (value at t=0)×e^(rt)

where r is the growth rate in one unit of time, and t is the number of time periods.

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3 years ago
Can someone help with this?
Norma-Jean [14]
This is the anwser to your equation
6 0
3 years ago
Please help asap on 1, 2 & 3!! I will mark you as brainliest!!
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Answer:

18. C

19.A

20. C

Step-by-step explanation:

18.

x< 15 where x is the average that each person contributes.

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19. simple algebra

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6 0
3 years ago
Whta is a linear regression equaton
fiasKO [112]
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3 0
3 years ago
Alice Smith bought a clothes dryer that retailed for $325 . She received a 15% discount because she works at the store where she
r-ruslan [8.4K]

Answer:

296.97

Step-by-step explanation:

Remark

The first thing you have to realize is that you take the discount before you add the sales tax.

Discount

If she receives a 15% discount, she still pays 85% of the full price.

85/100 * 325 = 276.25

Sales Tax

A sales tax is only added on after a goods or service has been determined and agreed upon by the buyer and seller.

The sales tax can be calculated quickly by adding the decimal equivalent onto 1 and multiplying that by the discounted amount.

1 + 7.5% = 1 + 7.5/100 = 1 + 0.075 = 1.075     deriving the discount amount

Cost

Cost = discounted price * 1.075                    Substitute in Formula

Cost = 276.25 * 1.075                                    Simplify

Cost = 296.97                                                Answer

3 0
4 years ago
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