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schepotkina [342]
3 years ago
15

At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.

Mathematics
2 answers:
igomit [66]3 years ago
7 0

Answer:

c(t) = 120 [0.7]^{t}

Step-by-step explanation:

At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.

From that moment forward, the medicine's concentration drops by 30% each hour.

Therefore, the medicine concentration c(t) in mg/liters after t hours will be modeled as

c(t) = c(0) [1 - \frac{30}{100}]^{t}

⇒ c(t) = c(0) [1 - 0.3]^{t} 

⇒c(t) = 120 [0.7]^{t} . (Answer)

Andrews [41]3 years ago
5 0

Answer:

<h2>c(t) = (\frac{70}{100} )^{t} times 120</h2>

Step-by-step explanation:

The concentration of the medicine reduce 30% for each passing hour.

After one hour, it will reduce 30% of its concentration, that is remaining concentration of the medicine is (100 - 30)% = 70%

After 1 hour, the concentration will be, \frac{70}{100} times 120 milligrams per liter.

After 2 hour, the quantity will be \frac{70}{100} times \frac{70}{100} times120 = \frac{70}{100} ^{2} times120.

Hence, after t hours the  concentration of the medicine can be represented as, c(t) = (\frac{70}{100} )^{t} times 120.

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2 years ago
Twenty years ago, bruce wayne bought a batmobile for 250250250 million dollars. as the crime in gotham city has been down for a
dem82 [27]

Bruce will receive $160 million for the batmobile.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

  1. The unitary technique is used.
  2. By adjusting the fraction's denominator to 100.
  3. It must be noted that second method of percentage calculation is not employed when the denominator isn't a factor of 100. In such circumstances, we employ the unitary technique.

Now, according to the question;

Given that prices fall about 20% every decade;

Thus,  100% - 20% = 80%

He paid $250 million for a batmobile twenty years ago.

Let Bruce to receive x millions of dollars for the batmobile.

⇒ 80% of x = 80/100 × x = 4/5 x

⇒ x = 250(4/5)(4/5)

⇒ x = 250(16/25)

⇒ x = 160

As a result, Bruce will receive 160 millions of dollars for such batmobile.

To know more about the percentage, here

brainly.com/question/317717

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The correct question is-

Twenty years ago, Bruce Wayne bought a batmobile for 250 million dollars. As the crime in Gotham city

has been down for a while, he plans to sell it.

How much can he get for the batmobile if the price goes down by 20% every decade? million dollars

6 0
2 years ago
We're do I find a rate of change
SVEN [57.7K]
You can find the rate of change by taking it's derivative.
6 0
2 years ago
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