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ladessa [460]
3 years ago
5

(02.02)

Mathematics
1 answer:
const2013 [10]3 years ago
8 0
Y = 125000

x = 0.25(125000) + 62500 = 31250 + 62500 = 93750

Answer: 93750

 
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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
A group of students is painting the background of a set for a school play what is the area of the part that is painted in gray
GarryVolchara [31]
144 I’m not sure tho
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Thomas has four jugs of different sizes. One holds 1.2 liters, one
dimulka [17.4K]
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A convex hexagon has exterior angles of 39°, 47°, 42°, 59°, and 64°. What is the measure of an exterior angle at the
meriva

Answer: 109^{\circ}

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees, so the sixth angle measures 360-39-47-42-59-64=\boxed{109^{\circ}}

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2 years ago
HELP!! I really need help with this question and i have to turn my homework into my teacher ASAP. Will give brainlist.
vlabodo [156]

Answer:

Your answer is 6213.45! :)

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