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iren [92.7K]
2 years ago
9

If james hand is 0.17 meters and junes is 0.165 who have the Bigger hand

Mathematics
1 answer:
natita [175]2 years ago
5 0

Answer:

James has the bigger hand

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The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model
Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$  in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

                    $=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

                   $=10,000[e^{0.4}-1]$

                    $=10,000[0.49]$

                    =4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

   $=10,000e^{0.02(5)}$

   $=11051$

In 2000,

$P=10,000e^{0.02(10)}$

   =12,214

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0
3 years ago
To convert 0.73 hours into minutes which ratio would you multiply by. a 1 minute/ 60 hours
Serjik [45]
60 min / 1 hour. ...
4 0
3 years ago
The​ ​cost​ ​to​ ​manufacture​ ​​x​​ ​number​ ​of​ ​chairs​ ​can​ ​be​ ​represented​ ​by​ ​the​ ​function​ ​C(x)=36x .​ ​In​ ​th
bogdanovich [222]
<span>C(x)=2268 means that the cost of </span><span>​manufacture​ 63 chairs is 2268$.

2268/36 = 63 chairs
</span>
4 0
3 years ago
What is the mean of this data set 82,105,247,119,94,202
Kazeer [188]

To find the mean, add the numbers, and divide by the amount of numbers there is.

(82 + 105 + 247 + 119 + 94 + 202)/6

Simplify. Remember to follow PEMDAS. First, add

(849)/6

Next, divide by 6

849/6 = 141.5

141.5 should be your answer

hope this helps

6 0
3 years ago
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Can somebody help me it's on pribability
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11-10
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