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Diano4ka-milaya [45]
1 year ago
10

The half life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for the drug to decay to 86% of th

e original decay model,A=A
Mathematics
1 answer:
nata0808 [166]1 year ago
5 0

Answer:

  8.1 hours

Step-by-step explanation:

A model of the fraction remaining can be ...

  f = (1/2)^(t/37) . . . . t in hours

So, for the fraction remaining being 86%, we can solve for t using ...

  0.86 = 0.5^(t/37)

  log(0.86) = (t/37)log(0.5)

  t = 37·log(0.86)/log(0.5) ≈ 8.0509 ≈ 8.1 . . . hours

It takes about 8.1 hours to decay to 86% of the original concentration.

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The average annual costs for owning two different refrigerators for x years is given by the two functions: f(x) = 850 + 62x /x a
Alex17521 [72]

Answer:

In the long run cost of the refrigerator g(x) will be cheaper.

Step-by-step explanation:

The average annual cost for owning two different refrigerators for x years is given by two functions

f(x) = \frac{850+62x}{x}

     = \frac{850}{x}+62

and g(x) = \frac{1004+51x}{x}

             = \frac{1004}{x}+51

If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.

At x = 1 year

f(1) = 850 + 62 = $912

g(1) = 1004 + 51 = $1055

So initially f(x) will be cheaper.

For f(x) = g(x)

\frac{850}{x}+62 = \frac{1004}{x}+51

\frac{1004}{x}-\frac{850}{x}=1004-850

\frac{154}{x}=11

x = \frac{154}{11}=14

Now f(15) = 56.67 + 62 = $118.67

and g(x) = 66.93 + 51 = $117.93

So g(x) will be cheaper than f(x) after 14 years.

This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).

5 0
1 year ago
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If the foreign exchange rate between the japanese yen and the euro is 190:1, how many yen will equal 10 euros?
alexgriva [62]

Alright, lets get started.

The foreign exchange rate between the japanese yen and the euro is 190:1 given.

It means 1 euro = 190 yen

We are asked to find how many yen will be equal to 10 euros.

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Hence 10 euros = 190 * 10 yen

10 euros = 1900 yen : Answer

Hope it will help :)

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1 year ago
While in college, why did Euler work through advanced math books on his own? His father required it. The quality of education of
icang [17]

The correct answer is "His teacher advised it because he did not have time to tutor Euler privately." I just did the assignment and got it correct.



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Answer: sin pi/4 sin pi/6 = 1/2(cos pi/12 - cos 5pi/12)

correct on apex

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