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grandymaker [24]
3 years ago
7

Population growth is: A) Logarithmic B) Linear C) Exponential Please help ASAP!!! :(

Mathematics
1 answer:
Monica [59]3 years ago
6 0

For this case we have that by definition the growth of a population is a function of the form:

f (x) = a (b) ^ x

Where,

  • <em>a: initial population </em>
  • <em>b: growth rate </em>
  • <em>x: number of years </em>

We observe then that the function is of the exponential type.

Answer:

C) Exponential

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Luke bought a jacket that was 30% off the cost. He paid sales tax of 6% after the discount had been applied. If the jacket had a
nasty-shy [4]

Answer: the actual amount that Luke paid including tax is $55.65

Step-by-step explanation:

The initial price of the jacket is $75.

Luke bought a jacket that was 30% off the cost. This means that the amount of discount on the Jacket is

30/100 × 75 = 0.3 × 75 = $22.5

The price of the jacket after the discount had been applied is

75 - 22.5 = $52.5

He paid sales tax of 6% after the discount had been applied. This means that the amount of sales tax that he paid on the jacket is

6/100 × 52.5 = 0.06 × 52.5 = 3.15

Therefore, the actual amount that Luke paid including tax is

52.5 + 3.15 = $55.65

5 0
3 years ago
The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1).
Romashka [77]
In order to prove the triangle is a right angled triangle we need to prove that the slope of the lines CA and BC  and AB have any  negative reciprocals.Lets find the slopes . 
AB=(-1,3), (1,2) slope of AB = 2-3/1-(-1)= -1/2 slope of AB is -1/2
BC = (1,2), (-3,1) slope of BC is 1-2/-3-1= -1/-4 slope of BC is 1/4
Slope of CA =(-3,1)(-1,3) slope of 3-1/-1-(-3)=-2/-2=1

Since the slopes do not have any negative reciprocals so the triangle is not a right angled triangle 
5 0
3 years ago
23q−34) and (−16q−r)
faltersainse [42]

Answer:

r = 7 q - 34

Step-by-step explanation:

Solve for r:

-34 + 7 q - r = 0

Subtract 7 q - 34 from both sides:

-r = 34 - 7 q

Multiply both sides by -1:

Answer:  r = 7 q - 34

7 0
3 years ago
Read 2 more answers
Which statement comparing x² + 10 and x + x + x is true when x=−5 ?
Lina20 [59]
X^2 + 10 = 35 when x = -5
x + x + x = 3x = -15 when x = -5.

The answer is B because part A just restates the first equation, and Part C determines which is greater. If you want to determine the difference between the two when x = -5, part B is the best answer because it subtracts the product of one of them from the other.
3 0
3 years ago
Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec
charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴  = 2⁽³⁻⁴⁾

2³ × 2⁻⁴  = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0
2 years ago
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