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stealth61 [152]
3 years ago
13

In​ 2009, the national debt of a government was about ​$10.5 trillion. Using 308.0 million as the population for that​ year, abo

ut how much was this per​ person? Write the amount in standard notation to the nearest dollar.
Mathematics
1 answer:
Katarina [22]3 years ago
4 0

Answer:

34091 dollars per person

Step-by-step explanation:

In order to answer the question, you have to divide the amount of debt by the amount of population to obtain the amount of dollars per person.

The debt was $10.5 trillion. A trillion is a thousand billion  (1000 multiplied by a billion which is 10^{9} in scientific notation)

1000=10^{3}

One trillion is (10^{3})(10^{9})=10^{12}

The debt is: $ 10.5 x 10^{12}

The population is scientific notation is: 308.0 x 10^{6}

Dividing the amount of debt by the amount of population:

\frac{(10.5)(10^{12})}{(308.0)(10^{6})}=\frac{(10.5)(10^{12-6})}{308.0}=\frac{(10.5)(10^{6})}{308.0}

Simplifying and expressing it in standard notation:

34090.9 dollars per person

Rounding to the nearest dollar:

34091 dollars per person.

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makvit [3.9K]

Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

Given model:

y = 4070 e^{kt}

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070  e^{3k}

\frac{9000}{4070} = e^{3k}

\frac{900}{407}=e^{3k}

<u><em>Taking natural logarithm on both sides, we get:</em></u>

ln\frac{900}{407}=ln(e^{3k})

ln\frac{900}{407}= 3k ln<em>e</em>

ln<em>e</em>=1

ln \frac{900}{407}= 3k

or k = \frac{1}{3}ln\frac{900}{(407)}

k =\frac{1}{3}(0.7936)

<em>k = 0.2645</em>

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7 0
3 years ago
How do you determine the area under a curve in calculus using integrals or the limit definition of integrals?
RSB [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Let us consider

y = f(x)

To find the area under the curve y = f(x) between x = a and x = b, all we need is to integrate y = f(x) between the limits of a and b.

For example, the area between the curve y = x² - 4 and the x-axis on an interval [2, -2] can be calculated as:

A=\int _a^b|f\left(x\right)|dx

    = \int _{-2}^2\left|x^2-4\right|dx

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx

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solving

\int _{-2}^2x^2dx

\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1

   =\left[\frac{x^{2+1}}{2+1}\right]^2_{-2}

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computing the boundaries

     =\frac{16}{3}

Thus,

\int _{-2}^2x^2dx=\frac{16}{3}

similarly solving

\int _{-2}^24dx

\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax

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computing the boundaries

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\int _{-2}^24dx=16

Therefore, the expression becomes

A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx

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Thus, the area under a curve is -10.67 square units

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6 0
3 years ago
The first number in an ordered pair tells you the distance to move right or left from the origin.
Solnce55 [7]
The answer would be True. Thanks
3 0
4 years ago
Read 2 more answers
Could anyone help please? :(
rosijanka [135]

Answer:

22°

Step-by-step explanation:

this is a right angle. right angles = 90°. you can now subtract 90-68 to give you 22.

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Answer:

there would be 67.2 in 2 containers

Step-by-step explanation:

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