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zavuch27 [327]
3 years ago
12

oshua is planning the awards breakfast for the freshman class. The catering company charges a $350 fee for the rental materials,

plus $6 per person at the party. How many people can Joshua invite to the awards breakfast without exceeding his $625 budget?
Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
Firsly remove the $350
$625-$350=$275
Each person is $6,so divide that from $275
275/6=45R5
The remaining $5 cannot be used to pay for another person,so we leave it as extras.
Therfore,45 people were at the the party.
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Suppose the population of a town was 40,000 on January 1, 2010 and was 50,000 on January 1, 2015. Let P(t) be the population of
Lorico [155]

Answer:

Given,

The initial population ( on 2010 ) = 40,000,

Let r be the rate of increasing population per year,

Thus, the function that shows the population after t years,

P(x)=40000(1+r)^t

And, the population after 5 years ( on 2015 ) is,

P(5)=40000(1+r)^{5}

According to the question,

P(5) = 50,000,

\implies 40000(1+r)^5=50000

(1+r)^5=\frac{50000}{40000}=1.25

r + 1= 1.04563955259

\implies r = 0.04653955259\approx 0.04654

So, the population is increasing the with rate of 0.04654,

And, the population after t years would be,

P(t)=40000(1+0.04654)^t

\implies 40000(1.04654)^t

Since, the exponential function is,

f(x) = ab^x

Hence, by comparing,

a = 40000,

b = 1.04654

6 0
4 years ago
The archaeological site of Tara is more than 4000 years old. Tradition states that Tara was the seat of the high kings of Irelan
MaRussiya [10]

Answer: Hello your question is incomplete attached below is the complete question.

answer:

a) The number of ferromagnetic artifacts per 100 square meters ( option A )

b) quantitative  ( option D )

c) Entire Tara region ( option A )

Step-by-step explanation:

a) Determine The Variable

The number of ferromagnetic artifacts per 100 square meters

b) The Variable is quantitative

This is because the variable used in the study has numerical value attached to it hence we can say it is a quantitative variable.

c) The implied population

Entire Tara region

3 0
3 years ago
A rectangle has a length of x inches and a width 2 inches less than the length.If the dimensions were doubled, what would be the
zheka24 [161]

If the dimensions of the rectangle were doubled, the area in square inches is: Area = 4x^2 - 8x

  • Let the length of the rectangle be L.
  • Let the width of the rectangle be W.

<u>Given the following data:</u>

  • Length = x inches
  • Width = x - 2 inches

If the dimensions of the rectangle were doubled, the value of L and W becomes;

L = 2x

W = 2(x - 2)

Mathematically, the area of a rectangle is given by the formula;

Area = Length × Width

Area = 2x × 2(x-2)

Area = 2x × 2x - 4

Area = 4x^2 - 8x  square inches.

Find more information: brainly.com/question/897975

3 0
3 years ago
3. Nolan drew a right triangle. How many<br>acute angles did he draw?​
Pachacha [2.7K]

Answer:

Two acute angles

Step-by-step explanation:

The right triangle has one 90 degree angle and two acute angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.

8 0
3 years ago
Need help with this question
yulyashka [42]

Answer:

  2√11

Step-by-step explanation:

The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:

  h² = 6² +8² = 100

The length of x is given by that same theorem:

  h² +x² = 12²

  x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value

  x = √44 . . . . . . . . take the square root

  x = 2√11 . . . . . . . simplify the root

5 0
4 years ago
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