MATHEMATICS HIGH SCHOOL

Population since 2000 has been approximately linear. In 2006 the population was 1148 and in 2014 the population was 1348. What is the rate of population growth?

Answers

Answer 1

Answer:

Answer:

2.03% Rate of Population Growth.

Step-by-step explanation:

According to the Question,

Given, In 2006 the population was 1148 and in 2014 the population was 1348.

2006⇒2014 (8 Years)

So, $1148 * (1+(x)/(100) )^(8) = 1348$

$(1+(x)/(100) ) = \sqrt[8]{1.1742}$

(1 + x/100) = 1.0202

x/100 = 0.020276

x = 2.03% Rate of Population Growth

Related Questions

The height of a triangle is one-third of its base. If the area is 121.5ft^2, what is the height of the triangle?
Complete the sequence 543280. 542280. 541280.
The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4).Which coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis? A. Qꞌ(−1, −2), Rꞌ(−3, −2), Sꞌ(−2, −4) B. Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4) C. Qꞌ(2, 1), Rꞌ(2, 3), Sꞌ(4, 2) D. Qꞌ(2, −4), Rꞌ(6, −4), Sꞌ(4, −8)
Find the distance between the points L(7,−1) and M(−2, 4).
How to estimate 518 + 372

How many roots of the polynomial 30x^4 + 7x^3-125x^2-54x+72 have absolute value greater than 1?

Answers

Answer:

There are 3 roots of the given polynomial that have absolute value greater than 1.

Step-by-step explanation:

We are given the polynomial:

$p(x) = 30x^4 + 7x^3-125x^2-54x+72$

We can factorize the given polynomial as:

$p(x) = 30x^4 + 7x^3-125x^2-54x+72\n=(x-2)(2x+3)(5x-3)(3x+4)=0$

$\text{Solving for}\n(x-2) = 0\nx = 2\n|x| = 2 > 1$

$\text{Solving for}\n(2x+3) = 0\nx = (-3)/(2)\n\bigg|(-3)/(2)\bigg| = (3)/(2) > 1$

$\text{Solving for}\n(5x-3) = 0\nx = (3)/(5)\n\bigg|(3)/(5)\bigg| = (3)/(5) < 1$

$\text{Solving for}\n(3x+4) = 0\nx = (-4)/(3)\n\bigg|(-4)/(3)\bigg| = (4)/(3) > 1$

Thus, there are 3 roots of the given polynomial that have absolute value greater than 1.

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-5, -1); slope = negative 3 over 5

Answers

Answer:

The slope-intercept form of the equation of the line is $y = -(3)/(5) \cdot x -4$ .

Step-by-step explanation:

We know that the slope-intercept form of the equation of the line is represented by:

$y = m\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

From statement we find that $m =-(3)/(5)$ . If $x = -5$ and $y = -1$ , the value of the y-intercept is:

$-1 =-(3)/(5)\cdot (-5)+b$

$-1 = 3 + b$

$b = -4$

The slope-intercept form of the equation of the line is $y = -(3)/(5) \cdot x -4$ .

What is the answer 3xy+13xy-12xy=

Answers

$3\underline{xy}+13\underline{xy}-12\underline{xy}=16xy-12xy=4xy$

Eric has seventeen candy bars, he gives Debra five. How many candy bars does Eric have now?

Answers

17-5=12
So Eric has 12 candy bars

Ari thinks the perfect milkshake has 33 ounces of caramel for every 55 scoops of ice cream. Freeze Zone makes batches of milkshakes with 66 ounces of caramel and 88 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes?

Answers

Answer:

Too much caramel.

Step-by-step explanation:

$(33)/(55) \: = \: (66)/(88) k$
$(3)/(5) \: = \: (6)/(8) k$
$(3)/(5) \: = \: (3)/(4) k$
$k \: = \: (4)/(5)$
Since, k ≠ 1,
Ari will think Freeze Zone's Milkshakes don't have the required quality.

1.What is the correct reason for statement 2?Prove: 2(w + 6) + 4 = 2w + 16
Statements Reasons
1. 2(w + 6) + 4 1. Given
2. (2w + 12) + 4 2. ?
3. 2w + (12 + 4) 3. Associative Property
4. 2w + 16 4. Addition

2.What is the correct reason for statement 2?
Prove: 4 + 3x + (x ∙ 2) = 5x + 4
Statements Reasons
1. 4 + 3x + (x ∙ 2) 1. Given
2. 4 + 3x + 2x 2. ?
3. 4 + 5x 3. Addition
4. 5x + 4 4. Commutative Property

3.What is the correct reason for statement 3?
Prove: (11m) ∙ 4 + m = 45m
Statements Reasons
1. (11m) ∙ 4 + m 1. Given
2. 4 ∙ (11m) + m 2. Commutative Property
3. (4 ∙ 11) ∙ m + m 3. ?
4. 44m + m 4. Commutative Property
5. 45m 5. Addition

4.What is the correct reason for statement 5?
Prove: k + 4 + 6(1 + k) = 11k + 10
Statements Reasons
1. k + 4 + 6(1 + k) 1. Given
2. k + 4 + (6+ 6k) 2. Distributive Property
3. k + (4 + 6) + 6k 3. Associative Property
4. k + 10 + 6k 4. Addition
5. k + 6k + 10 5. ?
6. 7k + 10 6. Addition

5.Select the correct reasons for statements 1 and 3 to complete the proof.
Prove: 3x + 2 • x • 11 = 25x.
1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ?
2. 3x + 2 • x • 11 = 3x + 22x 2. Multiplication
3. 3x + 2 • x • 11 = 25x 3. ?

Answers

1. The reason for statement 2 is
Distributive Property

2. The reason for statement 2 is
Commutative Property

3. The reason for statement 3 is
Associative Property

4. The reason for statement 5 is
Commutative Property

5. The reason for statement 1 is
Associative Property
The reason for statement 3 is
Addition

State the correct reason for each statement

2(w + 6) + 4 = 2w + 16

1. 2(w + 6) + 4

2. (2w + 12) + 4

3. 2w + (12 + 4)

4. 2w + 16

Statements Reasons:

1. Given

2. distributive property

3. Associative Property

4. Addition

4 + 3x + (x ∙ 2) = 5x + 4

1. 4 + 3x + (x ∙ 2).

2. 4 + 3x + 2x

3. 4 + 5x

4. 5x + 4

Statements Reasons:

1. Given

2. cummulative property

3. Addition

4. Commutative Property

(11m) ∙ 4 + m = 45m

1. (11m) ∙ 4 + m

2. 4 ∙ (11m) + m

3. (4 ∙ 11) ∙ m + m

4. 44m + m.

5. 45m

Statements Reasons:

1. Given

2. Commutative Property

3. associative

4. Commutative Property

5. Addition

k + 4 + 6(1 + k) = 11k + 10

1. k + 4 + 6(1 + k)

2. k + 4 + (6+ 6k)

3. k + (4 + 6) + 6k

4. k + 10 + 6k

5. k + 6k + 10

6. 7k + 10

Statements Reasons:

1. Given

Given 2. Distributive Property

Given 2. Distributive Property 3. Associative Property

Given 2. Distributive Property 3. Associative Property 4. Addition

Given 2. Distributive Property 3. Associative Property 4. Addition 5. cumulative

6. Addition

3x + 2 • x • 11 = 25x.

1. 3x + 2 • x • 11 = 3x + 2 • 11 • x

2. 3x + 2 • x • 11 = 3x + 22x

3. 3x + 2 • x • 11 = 25x

Reasons:

1. associative

1. associative2. Multiplication

1. associative2. Multiplication 3. addition

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