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Oksana_A [137]
3 years ago
7

The cost of a game that was p dollars with a 15% off coupon online plus $1.99 for shipping

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0
(p - 0.15p) + 1.99

This is the equation to solve.

p minus 15% of p, plus 1.99 for shipping costs.
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3,619 people can fit in the auditorium for the concert. Twenty buses arrive with 68 people on each bus going into the auditorium
Sonja [21]
So 20x68 is 1360 so 3,619 -1,360 is 2,259 so 2,259 more people will be able to fit inside of the auditorium-hope this helped you
5 0
3 years ago
Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour
UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

C(t) = C(0)e^{rt}

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So C(0) = 110

Husband

Half life of 4 hours. So

C(4) = 0.5C(0) = 0.5*110 = 55

C(t) = C(0)e^{rt}

55 = 110e^{4r}

e^{4r} = 0.5

Applying ln to both sides

\ln{e^{4r}} = \ln{0.5}

4r = \ln{0.5}

r = \frac{\ln{0.5}}{4}

r = -0.1733

So for the husband

C(t) = 110e^{-0.1733t}

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

C(t) = 110e^{-0.1733t}

C(11) = 110e^{-0.1733*11} = 16.35

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

C(10) = 0.5C(0) = 0.5*110 = 55

C(t) = C(0)e^{rt}

55 = 110e^{10}

e^{10r} = 0.5

Applying ln to both sides

\ln{e^{10r}} = \ln{0.5}

10r = \ln{0.5}

r = \frac{\ln{0.5}}{10}

r = -0.0693

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

C(t) = 110e^{-0.0693t}

C(11) = 110e^{-0.0693*11} = 51.33

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0
3 years ago
Name the maximum and minimum of the function
stiv31 [10]
The alimentary canal and the <span>gastrointestinal tract (GI tract)</span>
8 0
3 years ago
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would
liq [111]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Help me please it’s due today
pentagon [3]

Answer:

<em>1. </em><em>B. $20</em>

<em>2.</em><em>C. 19%</em>

<em>3. </em>D. not here

Step-by-step explanation:

1.  info we know

25+45+10+25+15+10 = 130

we need 20 more dollars

2.  25/130   x/100

cross multiply

2500/ 130x

divide

19 = x

3.  same steps as last time

35/130 x/100

3500/130x

29%

5 0
3 years ago
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