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aleksandr82 [10.1K]
3 years ago
14

Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives li

ke tacos. How many more of her classmates like tacos as compared to her relatives?
Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

48% of 75 is 36 so then 60% of 45 is 27, so then we do simple subtraction and do 36-27 which gives us 9

Step-by-step explanation:

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Some investments in the stock market have earned 10% annually. At this rate, earning can be found using the formula A=p(1.10)n,
GalinKa [24]

Answer:

<em>c. 13.899.79</em>

Step-by-step explanation:

<u>Exponential function </u>

Two variables y and x have an exponential relation if  

y=Ce^{kx}

where C and k are real numbers. Many natural phenomena are modeled by using exponentials, finance included, where the growing of the investments can be computed through the use of the exponential function

The situation described in the question is modeled as

A=p1.1^{n}

being A is the total value of the investment, p is the initial value of the investment, and n is the number of years the money is invested. We know p=2,500 and n=18, so we compute A

A=(2,500)1.1^{18}

A=$13,899.79

Answer: c. 13.899.79

5 0
3 years ago
PASSAGE:
Art [367]

The shortest distance separating Julio from Sarah is 111.8ft

To know the distance of the shortest bridge between Julio and Sarah, the following procedure must be carried out.

We know that Julio walked 100ft to one side and Sarah walked 20ft to the opposite side, that is, on the <em>y-axis</em> they are 120ft apart.

On the other hand, Julio stayed by the river and Sarah walked 9ft away from the river, that is, on the <em>x-axis</em> they are separated by a distance of 59ft (assuming that the width of the river is 50ft).

To know the linear distance that separates them, it is necessary to use the following formula of the Pythagorean theorem.

c² = a² + b²

c= \sqrt{a^{2} + b^{2} }

From this operation we know the value of a and b:

a = 120ft

b = 59ft

Now we just have to replace the values in the formula.

c = \sqrt{120^{2} + 59^{2} }

c = \sqrt{14400 + 3481}

c = \sqrt{17881}

c = 133,7

However, 133.5ft is not the value of the bridge distance because Sarah went 9ft away form the river. Then a portion must be subtracted from her to calculate the exact portion of the distance above the river.

For this we must calculate the distance that separates them that is above the Earth, for this we use the same mathematical formula.

c = \sqrt{20^{2} + 9^{2}  }

c = \sqrt{400 + 81}

c = \sqrt{481}

c = 21,9ft

So the distance a part of the Earth covers is 21.9ft. To find out how far the bridge should be over the river, we subtract 21.9ft from the total distance 133.7ft

133,7ft - 21,9ft = 111,8ft

Note: This question is incomplete because it has missing information (the length and width of the river).

Learn more in: brainly.com/question/25292638

5 0
3 years ago
write a simplified polynomial expression in the standard form to represent the area of the rectangle below x-4 5x+2
Ann [662]

The area of the rectangle is 5x^{2} -18x-8

Explanation:

One side of the rectangle is x-4

The another side of the rectangle is 5x+2

The formula to find the area of the rectangle is length × width

Area = length × width

Substituting the values, we have,

\begin{aligned}\text { Area } &=(x-4)(5 x+2) \\&=5 x^{2}+2 x-20 x-8 \\&=5 x^{2}-18 x-8\end{aligned}

Thus, the area of the rectangle is 5x^{2} -18x-8

3 0
3 years ago
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If two lines are perpendicular to each other, do they lie in the same plane?
Arada [10]
Yes they do, Hope this helps :p
8 0
3 years ago
Seven people meet and shake hands with one another. how many handshakes occur ?
Kryger [21]
49 shakes in total. 7x7=49
5 0
3 years ago
Read 2 more answers
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