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lbvjy [14]
3 years ago
5

the table below gives the average cost, x (to the nearest hundred) of tuition and fees, y, at a four year college

Mathematics
1 answer:
Ganezh [65]3 years ago
5 0
22
476352nbvo
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A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i
Over [174]

Answer:

a) \frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

b) C(5) = 100 e^{-0.16*5}= 44.9329

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

\frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

C(5) = 100 e^{-0.16*5}= 44.9329

7 0
3 years ago
Find the Missing demension of each triangle described:
Ganezh [65]
4 and then we will have a good day to sleep at church and ok then I just woke you up I love wieieuueueiewiowowo ohhh
7 0
3 years ago
The distance from Kenya's house to her job is 18 miles. One morning she left her house at 7:15 a.m. She traveled at the rate of
Snezhnost [94]

20 minutes = 1/3 of an hour

1/3 = 0.333

 1/3 x 45mph = 15, so she drove 15 miles at 45mph

18-15 = 3

3 miles/ 20 mph = 0.15 hours


0.333+0.15 = 0.483 hours total

0.483 x 60 = 28.98 so approximately 29 minutes total driving time

7:15 + 29 minutes is 7:44 am she arrived at work

8 0
3 years ago
Given O that is the center of the circle below, compare the quantity in column A with the quantity in column B.
pogonyaev

Answer:

the answer is b

Step-by-step explanation: edge 2020

4 0
2 years ago
Read 2 more answers
URGENT graph the image of the given triangle after the transformation that has the rule (x, y) 》(x, -y)
crimeas [40]

Answer:

See Below

Step-by-step explanation:

That rule is a transformation across the x-axys.

Assigne a letter to each point:

A = (2, 7) => A' = (2, -7)

B = (-5, -2) => B' = (-5, 2)

C = (4, -3) => C' = (4, 3)

3 0
3 years ago
Read 2 more answers
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