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Alex Ar [27]
3 years ago
15

Suppose that the concentration of a bacteria sample is 60 comma 000 bacteria per milliliter. If the concentration triples in 4 ​

days, how long will it take for the concentration to reach 102 comma 000 bacteria per​ milliliter?
Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer:

1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

Step-by-step explanation:

The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:

P = Po * r^t

where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)

Then, we have that:

102000 = 60000 * 3^t

3^t = 102/60 = 1.7

log(3^t) = log(1.7)

t*log(3) = log(1.7)

t = log(1.7)/log(3) = 0.483

so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

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Solve each equation 3m-3/5=2m-1/2
Kazeer [188]

Answer:

m= 1/10

Step-by-step explanation:

1. Move the terms so that will be 3m - 2m=-1/2 + 3/5

2. Subtract the m values so that will be 3m - 2m= 1 or m

3. Calculate the sum.

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3 years ago
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A mountain is 12,408 feet above sea level, and a valley is 175 feet below sea level. What is the difference in elevation between
KengaRu [80]

Answer:

The difference of <u>12,583 feet</u> in elevation between the mountain and the valley.

Step-by-step explanation:

Given:

A mountain is 12,408 feet above sea level, and a valley is 175 feet below sea level.

Now, to get the difference in elevation between the mountain and the valley.

As mountain is above sea level = 12,408 feet.

And valley is below sea level = 175 feet.

So, by adding we get the difference in elevation between the mountain and the valley:

12408\ feet +175\ feet

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6 0
4 years ago
Select all that apply. Select the formulas that give the amount P in the account after the first period.
Lisa [10]

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

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3 years ago
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3 years ago
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