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satela [25.4K]
2 years ago
15

Another United States traveler arrives at a United States point of entry. He has purchased a Flat car abroad that cost him

Mathematics
1 answer:
mart [117]2 years ago
3 0

Answer:

The duty he has to pay is  156.25$.

Step-by-step explanation:

We know that for foreign-made vehicles imported into the U.S., whether new or used, either for personal use or for sale, are generally dutiable at the following rates: Cars: 2.5%.

From task we know that the  Fiat car abroad that cost him $6,250.

We have the following proportion:

100:6250=2.5:x\\\\100x=2.5\cdot 6250\\\\100x=15625\\\\x=156.25\\

The duty he has to pay is  156.25$.

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Which statements are true of the function f(x) = 3(2.5)x? Check all that apply. a) the function is exponentioal b)The initial va
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Answer:

a) The function is exponential

c) The function increases by a factor of 2.5 for each unit increase in x.

d) The domain of the function is all real numbers.

Step-by-step explanation:

Exponential functions are written y = a(b)ˣ.

<u>a) the function is exponential is </u><u>true</u><u>.</u>

"a" represents the initial value, or the y-intercept.

"b" represents the rate of increase or decrease.

"x" and "y" represent points on the function.

Since a = 3, the initial value is 3.

<u>b) The initial value of the function is 2.5 is </u><u>false</u><u>.</u>

Since b = 2.5, the rate of change is 2.5

<u>c)The function increases by a factor of 2.5 for each unit increase in x is </u><u>true</u><u>.</u>

When you graph the function, (see graph below), you can see the information clearly.

The domain means how far the graph will go left to right. The graph will continue left to negative infinity, and will continue to the right to positive infinity. This make the domain all real numbers.

<u>d)The domain of the function is all real numbers is </u><u>true</u><u>.</u>

<u />

The range is how far up or down the graph will reach. Exponential functions have a horizontal asymptote, which is where the graph gets very close to touching a horizontal line, but never will. The asymptote is on the left of the y-axis. The range is all real numbers greater than 0.

<u>e)The range of the function is all real numbers greater than 3 is </u><u>false</u><u>.</u>

"3" is the initial value, but the graph extends behind the y-axis too.

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2 years ago
The following system of equations is _____.
Tju [1.3M]
First equation: y = -1/3x + 2/3
We can write it as : 1/3x + y = 2/3
Now, multiply the equation with 6, 
2x + 6y = 4 
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In short, The following system of equation is "Equivalent"

Hope this helps!
7 0
2 years ago
Round 66.3899872389 to the nearest thousandth
ddd [48]

Answer:

66.390

Step-by-step explanation:

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Which expression is equivalent to 4/9(2n-3)
krok68 [10]
I hope this helps you out.

5 0
2 years ago
The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hours. Foraging for a shorter t
Veronika [31]

Answer:

Therefore F=2.387 hours gives a minimum value of energy expenditure E.

Step-by-step explanation:

Given that,

The energy expended by a bird per day

E=0.25 F+\frac{1.7}{F^2}

Differentiating with respect to F

E'=0.25 -\frac{3.4}{F^3}

Again differentiating with respect to F

E''=\frac{10.2}{F^4}

Now set E'=0

0.25 -\frac{3.4}{F^3}=0

\Rightarrow \frac{3.4}{F^3}=0.25

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Now E''|_{F=2.387}=\frac{10.2}{2.387^4}>0

Since, E''>0 at F=2.387, So at F=2.387 , E has minimum value.

Therefore F=2.387 hours that minimizes energy expenditure.

7 0
2 years ago
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