Mary will rent a car for the weekend she can choose one or two plans the first plane has it in initial fee of $55 and cost an additional $0.12 per mile driven the second plan has an initial fee of $50 in cost an additional $0.17 per mile driven

Answers

Answer 1

By using the concept of linear equations, amount of driving when two of these plans cost the same will be at x = 100.

The cost when two plans cost the same is $67.

What is Linear Equation in one variable?

The linear equation in one variable is written as ax + b = 0, where a and b are two integers and x is a variable. This equation has only one solution.

Given data:

First plan has it in initial fee of $55 and cost an additional $0.12 per mile.

Second plan has an initial fee of $50 in cost an additional $0.17 per mile.

Linear Equation for first plan: f(x) = 55+0.12x

Linear Equation for second plan: s(x) = 50+0.17x

Here, x is a variable.

To find out the distance when the two plans cost the same, we'll need to solve:

55 + 0.12x = 50 + 0.17x

55 - 50 = 0.17x- 0.12x

5 = 0.05x

x = 5/0.05

x = 100

The cost when the two plans cost the same :

f(100) = 55 + 0.12(100)

f(100) = $67

s(100) = 50 + 0.17(100)

s(100) = $67

Hence, two of the plans will cost the same at x=100 and cost will be $67.

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Related Questions

Write the rational numbers rounded to three decimal palaces.

19/6=

And

7/18=


Answers

3.167 ( 3 dp )
0.389 ( 3 dp )

Find the values of x and z (please Help)

Answers

The value of x is 6° and value of z is 67°

We know that when two lines intersect then the vertically opposite angles are equal.

So according to the given figure

      (11x + 47)° = (6x + 77)°

Solving the above equation for x we get

        11x° + 47° = 6x° + 77°

         5x° = 30°

          x = 6°

Thus the value of x is 6°

Also note that the linear pair of angles make 180°. That is sum of the two angle is 180°. As we can see from the figure ∠z  and (6x + 77)° make linear pair of angles, therefore there sum will be equal to 180°.

Thus,   ∠z  + (6x + 77)° = 180°

             ∠z + (6*6 + 77)° = 180°

            ∠z + 113° = 180°

             ∠z = 67°

Hence the value of z is 67°

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Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. what value of p makes the equation true? p =

Answers

When p = 0.125 the equation -3p + ( 1/8 ) = ( - 1/4 ) is true.

The given equation is:

-3p + ( 1/8 ) = ( - 1/4 )

On the left-hand side of the equation, the denominator of the two terms is not the same.

So, the LCM of 1 and 8 is 8.

Therefore,

- 3p × ( 8 / 8 ) + ( 1 / 8 ) × ( 1 / 1 ) = ( - 1 /4 )

- 24p / 8 + 1 / 8 = - 1 / 4

( - 24p + 1 ) / 8 = - 1 / 4

Now multiplying each side of the equation by 8.

We get,

[ ( - 24p + 1 ) / 8 ] × 8 = ( - 1 / 4 ) × 8

- 24p + 1 = - 8 / 4

- 24p + 1 = - 2

Subtracting 1 from each side of the equation,

- 24p + 1 - 1 = - 2 - 1

-24p = - 3

Now, divide each side of the equation by 24.

- 24p / 24 = - 3 / 24

- p = ( - 1 / 8 )

Multiplying by - 1 on each side of the equation,

( - p ) × ( - 1 ) = ( - 1 / 8 ) × ( - 1 )

p = 1 / 8

p = 0.125

The value of p = 0.125 will make the equation true.

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Three squares have been used to form a right triangle. What is the area of the third square if the area of the first two squares are 8 square units and 16 square units respectively?

Answers

The area of the third square is 24 units square.

How to find the area of a square?

The squares forms a right angle triangle.

The side length of a square are equal.

Therefore, the side length of each square contribute to the three sides of the right triangle formed. The unknown length of the right triangle is the hypotenuse side of the triangle. That unknown length is the side length of the square.

area of a square = l²

where

l = side length

area of the first square = l²

√8 = l

l = 2√2 units

area of the second square = l²

√16 = l

l = 4 units

The length of the squares are the legs and hypotenuse of the right triangle formed.

using Pythagoras theorem,

a² + b² = c²

Therefore,

a = 2√2 unitsb = 4 unitsc = ?

(2√2)² + 4² = c²

16 + 8 = c²

c = √24

c = 2√6 units

area of the third square = (2√6)² = 24 unit²

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define the points ​p(−4​,−2​) and ​q(3​,−4​). carry out the following calculation. find two vectors parallel to qp with length 4.

Answers

The vector is -2i+7j and the two parallel vectors with length 4 is u=-8/√53i+28/√53j and u=8/√53i-28/√53j respectively

The points are p(-4,-2) and q(3,-4)

The vector qp = vector p -vector q

qp= <-4+2,3+4>

qp=-2i+7j

|QP|=√(-2)^2+(7)^2

|QP|=√4+49

|QP|=√53

The unit vector in direction of QP is 1/√53(-2i+7j)

To get a unit vector parallel in direction of QP, multiply by 4

u=-8/√53i+28/√53j

Multiplying by -4 to get another parallel vector of length 4, we get

u=8/√53i-28/√53j

The term "parallel vectors" refers to 2 vectors which can be in the identical direction, have the equal attitude, but differ in magnitude.two vectors a and b are said to be parallel vectors if one is a scalar more than one of the opposite, the vectors could be parallel.

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two cards are dealt at random from a standard deck of $52$ cards ($13$ hearts, $13$ clubs, $13$ spades, and $13$ diamonds). what is the probability that the first card is a $6$ and the second card is a queen?

Answers

The probability of getting a number 6 as the first card and a queen as the second card is 4/663.

Probability is mathematically defined as the ratio of the number of outcomes of a particular event or occurrence to the total number of outcomes.

For a standard deck, there are 52 total outcomes since there are 52 cards. A standard deck is divided into four suits - hearts, clubs, spades, and diamonds - with 13 cards each. Each suit has nine numbered cards from 2 to 10, three face cards (king, queen, and jack), and an ace.

The probability of having a numbered 6 card is 4/52. The probability is the same for getting a queen. Although, the probability of getting 6 as the first card and the queen as the second is different. This kind of probability requires the multiplication rule.

First card probability = 4/52

Second card probability = 4/51

The total number of outcomes for the second card is reduced since the first card is not replaced.

Probability (6 then queen) = (4/52)(4/51)

Probability (6 then queen) = 4/663

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a sequence is constructed by listing all the possible numbers that contain no digit greater than 3 in ascending order. what is the 2021st term of this sequence?

Answers

The 2021st term of the sequence is (- n - 2017).

Given,

A sequence is constructed by listing all the possible numbers that contain no digit greater than 3 in ascending order.

We need to find out what is the 2021st term of this sequence.

What is an arithmetic sequence?

An arithmetic sequence is a sequence where the difference between the consecutive terms is the same.

Example: 2, 4, 6, 8, 10

4 - 2 = 2

6 - 4 = 2

8 - 6 = 2

The nth term of an arithmetic sequence is given by:

= a + ( n - 1 ) d

Where a = the first term

d = common difference

Let the sequence that contains no digit less than 3 in ascending order be:

3 - n, 3 - (n + 1), 3 - (n+2), 3 - (n+3), 3 - (n+4),......

Where n = any real number from 1.

We see that the common difference is -1.

3 - (n+1) - (3 - n)

= 3 - n - 1 - 3 + n

= -1

3 - (n+2) - [3-(n+1)]

= 3 - n - 2 - 3 + n + 1

= -1

Find the 2021st term.

We have,

a = 3 - n

d = -1

n = 2021

= a + ( n - 1 ) d

= (3 - n) + ( 2021 - 1 ) (-1)

= 3 - n - 2020

= - n - 2017

Thus the 2021st term of the sequence is - n - 2017.

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What is the slope of the line that passes through the points (6,10) and (6,−2)? Write your answer in simplest form.

Answers

The slope of the line passes through the points (6,10) and (6,−2) is undefined.

Here,

The points are (6,10) and (6,−2).

We have to find the slope of the line passes through the points (6,10) and (6,−2).

What is slope of line?

The slope of the line passes through the points (x₁, y₁) and (x₂, y₂) is;

[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

Now,

The points are (6,10) and (6,−2).

Hence, The slope of the line passes through the points (6,10) and (6,−2) is;

[tex]m = \frac{-2 -10 }{6-6 }= \frac{-12}{0}[/tex]

Which in undefined.

Therefore, The slope of the line passes through the points (6,10) and (6,−2) is undefined.

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the slope of the line that passes through the points (6,10) and (6,−2) is undefined.

Step-by-step explanation:

What will be the change in the temperature after 3 days?

Answers

Answer:21/2

Step-by-step explanation:

Answer:

-7/6

Step-by-step explanation:

If the temperature changes by -7/18 degrees, that shows us that it will continue to decrease, so we can assume the answer will be negative, which means we can get rid of the answers 21/6 and 7/6. If you add and multiply -7 by 3, you'll get -21, which would be -21/18. Then you would simply the answer, giving you -7/6.

Hope this helps!!! :)

in rhombus $abcd$, points $e,f,g,$ and $h$ are the midpoints of $\overline{ab},\overline{bc},\overline{cd},$ and $\overline{da},$ respectively. quadrilateral $efgh$ has area 14 and perimeter 16. find the side length for rhombus $abcd$.

Answers

Side length of Rhombus ABCD is  8+2√2 unit

EFGH is a rectangle :

We know that ,

E, F , G , H are midpoints of AB, BC, CD , DA respectively

Since ABCD is a rhombus

AB = BC = CD = DA

AB ll CD  and BC ll DA

since,  E, F , G , H are midpoints of AB, BC, CD , DA respectively

from the figure below we can say that ,

1) AB ll CD ll FH and AB= CD = FH

2) BC ll DA ll GE and BC = DA = GE

Using mid point theorem we can say that ,

GH = EF = 1/2 AC and FG= EH = 1/2 BD

Since for the figure EFGH opposite sides are equal and and parallel , and the diagonals are equal in length we can say that EFGH is a rectangle.

Perimeter of a rectangle = 2(a+b) = 2( GH + EH ) = 2 (EF + GF) = 2 ( 1/2 AC + 1/2 BD )

= 2 x 1/2 ( AC + BD ) = 16

⇒ AC + BD = 16  (1)

now area of a rectangle is given by

A = ab = GH x EH = EF x GF = 1/2 AC x 1/2 BD = 1/4 (AC x BD) = 14

⇒AC x BD = 14 x 4 = 56

from equation (1)

AC ( 16 - AC) = 56

= 16 AC - AC ^2 = 56

⇒ AC^2 - 16 AC + 56 = 0

AC = 8 +/- 2√2

BD = ( 16 - AC) = 8 +/- 2 √2  = side length of rhombus ABCD

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The perimeter is 26. How much bigger is the longest side than the shortest side?

Answers

Answer:

8

Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle.

Given perimeter = 26 , then

2a - 3 + 2a + 3a + 1 = 26 , that is

7a - 2 = 26 ( add 2 to both sides )

7a = 28 ( divide both sides by 7 )

a = 4

then

shortest side = 2a - 3 = 2(4) - 3 = 8 - 3 = 5

longest side = 3a + 1 = 3(4) + 1 = 12 + 1 = 13

the difference between the 2 sides is 13 - 5 = 8

the longer side is 8 units bigger than the shortest side

alexio has $100$ cards numbered $1$-$100$, inclusive, and places them in a box. alexio then chooses a card from the box at random. what is the probability that the number on the card he chooses is a multiple of $2$, $3$ or $5$? express your answer as a common fraction.

Answers

Answer:

  37/50

Step-by-step explanation:

You want the fraction of integers in the range [1, 100] that are divisible by 2, 3, or 5.

Divisibility

Attached is a Venn diagram showing how the divisibility of numbers from 1 to 100 stacks up. Circle A includes all 50 numbers divisible by 2; Circle B counts all 33 numbers divisible by 3; and Circle C counts the 20 numbers divisible by 5.

Where the circles overlap, there are counts of the numbers divisible by the relevant combination of factors. For example, there are 3 numbers divisible by 2, 3, and 5. (They are 30, 60, 90.)

Probability

In all, there are 74 numbers in the range 1–100 that are divisible by 2, 3, or 5.

The probability that a card chosen at random will have a number divisible by 2, 3, or 5 is 74/100 = 37/50.

  P( 2, 3, or 5 divides N) = 37/50.

__

Additional comment

Roughly, the number of numbers in range [A, B] divisible by n is (B -A)/n. This is how we arrived at the counts shown in the attachment. For example, There are 100/(2·5) = 10 numbers divisible by both 2 and 5. Of those, there are 10/3 = 3 divisible also by 3. So, the number 3 is found in the area ABC, and the number 10-3=7 is found in the area AB'C.

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Richard, Allan, and Fliss share some money in the ratio 4: 8: 5.
Allan gets £9 more than Fliss.
Work out the amount of money that Richard gets.

Answers

Step-by-step explanation:

the ratio is 4:8:5 for Richard, Allan and Fliss.

the sequence is important.

the money pool between them has 4+8+5 = 17 equal units.

Richard has 4 units of these 17, Allan has 8 units, and Fliss has the remaining 5 units.

we don't know the value of such a unit yet.

this we get from the second hint :

Allan gets £9 more than Fliss.

remember, Allan has 8 units, Fliss 5.

so, Allan has 3 units more than Fliss.

that means these 3 units are worth £9.

and that means each unit is worth 9/3 = £3.

Richard has 4 units, that means he has

4×3 = £12

Please answer I need help

Answers

Answer:

What's the wildflowers trails current length so I can help

At a football game, a vender sold a combined total of 144 sodas and hot dogs. The number of sodas sold was two times the numbers of hot dogs sold. Find the number of sodas and the number of hot dogs sold. ​

Answers

The answer is Hotdogs = 48 Sodas = 96

It takes 15 over 2 minutes to fill an empty aquarium to a depth of 3 over 5 meters. what is the unit rate in minutes per meter? write your answer as a fraction or a mixed number in simplest form.

Answers

The unit rate in minutes per meter is 25/2

We are given the time taken to fill an empty aquarium = 15/2 minutes

Also, the depth of aquarium = 3/5 meters

To find the unit rate in minutes per meter, we will simply keep the values in formula. We do not need to change the units, as they are already in required ones, which are minutes and meters.

Unit rate = minutes ÷ meter

Unit rate = 15/2 ÷ 3/5

Rewriting the fraction

Unit rate = 15×5 ÷ 3×2

Performing multiplication in both numerator and denominator

Unit rate = 75 ÷ 6

Performing division of both numerator and denominator by 3

Unit rate = 25/2

So, the unit rate in minutes per meter is 25/2.

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18=2(4+x) ughhhh? omg

Answers

Step-by-step explanation:

linear

8+2x=18

2x=10

x=5

X =5 because

Once you take the 8 and subtract it from both sides your left with 2x=10

Then divide

someone pls solve this for me w support work

Answers

Answer:

Slope = - 3

Step-by-step explanation:

The function of the line:

y = - 3x + 7

=> Slope = - 3

Identify an equation in point slope form for the perpindicular to y=-3x+5 that passes through (4,-1)

Answers

Answer:

[tex]\boxed {y = \dfrac{1}{3}x - \dfrac{7}{3}}[/tex]

Step-by-step explanation:

If we have a line y = mx + b where m is the slope and be is the y-intercept then a line perpendicular to this line will have slope -(1/m)

So the slope of the line perpendicular to y = -3x + 5 will be [tex]-\dfrac{1}{3}[/tex] = + 1/3 = 1/3

So the perpendicular line equation is

y = (1/3)x + b where b is the y intercept of this line

Since it passes through the point x = 4, y = -1 we plug in these values for x and y and solve for b

We get
[tex]-1=\dfrac{1}{3}\cdot \:4+b[/tex]

Switch sides
[tex]\dfrac{1}{3}\cdot \:4+b=-1[/tex]

[tex]\dfrac{4}{3}+b=-1[/tex]

Subtract  [tex]\dfrac{4}{3}[/tex]  from both sides


[tex]b = -1 - \dfrac{4}{3} = -\dfrac{3}{3} -\dfrac{4}{3} = -\dfrac{7}{3}[/tex]

So the equation of the perpendicular line is
[tex]\boxed {y = \dfrac{1}{3}x - \dfrac{7}{3}}[/tex]

if 4x + 2y = 20 what is the value of 8x+4y/5

Answers

By using algebra properties and given that the linear equation 4 · x + 2 · y = 20, the value of (8 · x + 4 · y) / 5 is equal to 8.

How to determine the value associated to a linear equation

Herein we find a linear equation equal to a given number and we are asked to find a number associated with a modified form of the formula, this can be done by using algebra properties. The complete procedure is shown below:

4 · x + 2 · y = 20                               Given

2 · (4 · x + 2 · y) = 20 · 2                  Compatibility with multiplication

8 · x + 4 · y = 40                               Associative and distributive properties

(1 / 5) · (8 · x + 4 · y) = (1 / 5) · 40      Compatibility with multiplication

(8 · x + 4 · y) / 5 = 8                          Multiplication of fractions / Result

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Is the following relation a function? x y 1 4 −1 −2 3 10 5 16 a Yes b No

Answers

The relation that is represented in the table is a function. YES.

How to Determine a Relation that is a Function?

For every relation that represents a function, the each of the x-value (domain element/input) corresponds to exactly one y-value (range element/output).

In the table given showing a relation, every single x-value (input) has exactly only one possible y-value (output) that it is assigned to. The x-values, 1, -1, 3, and 5, each have a specific y-value they each correspond to.

Thus, based on the definition of a function, the relation that is represented in the table is a function. YES.

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please help with this math! giving 40 points since both are different parts of 2 different hw pieces! :)

Answers

11. Area as product = 7( d + 4 )
Area as sum = 7d + 28

12. Area as product = y( y + 3 )
Area as sum = y^2 + 3y

13. In circles , 12x and 60

Area as product = 12 ( x + 5 )
Area as sum = 12x + 60

14. In circles , x and 4
Area as product = 5 ( x + 4 )
Area as sum = 5x + 20

Hope this helps :)


4. A right cone has a surface area of 258 cm² and a base radius of 4 cm. What is
the height of the cone to the nearest tenth of a centimetre?

Answers

Answer:

64.5cm

Step-by-step explanation:

I hope this answer help you

Answer:

h = 16.0 cm

Step-by-step explanation:

Note: I am assuming that the surface area of 258 is the total surface area which includes the Lateral Area (L) and Base Area(B)

Total Surface Area of a right cone

= Lateral Area(L) + Base Area(B)

All numbers in intermediate calculations are rounded to tenth of centimeter i.e. 1 decimal point

Base Area is the area of the circle with radius 4 = [tex]\displaystyle \pi \cdot16 = 50.3[/tex] cm²
Total Area = 258 cm²

So Lateral Area = 258 - 50.3 = 207.7 cm²

Lateral Area is given by the formula
[tex]\displaystyle L = \pi r s \textrm{ where s is the slant height }[/tex]

So we get

[tex]\displaystyle \rm pi \cdot 4 \cdot s = 207.7\\\\\textrm {This gives } s = \dfrac{207.7}{4\pi} = 16.5\\\\[/tex] cm

Slant height is given by the formula:
[tex]s = \sqrt{r^2 + h^2} \textrm{ where r is the radius and h the height}[/tex]
Plugging in values we get
[tex]16.5 = \sqrt{4^2 + h^2} = \sqrt{16 + h^2}[/tex]

Square both sides
[tex]16.5^2 = 16 + h^2[/tex]

==> [tex]h^2 = 16.5^2 - 16 = 256.25\\\\h = \sqrt{256.25} = 16.003 = 16.0[/tex]  rounded to 1 decimal place

So final answers is h = 16 cm

Monica reads 7 ½ pages of a mystery book in 5 minutes. What is her average reading rate in pages per minute?

Answers

Answer:

1.5 or 1 ½ pages per min

Step-by-step explanation:

7.5/5=1.5

She reads 1 ½ pages per min

Answer: 1.5 pages per minute

Step-by-step explanation:

Divide the total number of pages she read by 5, the amount of time it took her. So it should look like this: 7.5/5

The answer is 1.5 pages per minute.

30 points mathamatics

Answers

Answer:

1870

Step-by-step explanation:

Answer:

c) 1,870

Step-by-step explanation:

374 multiplied 5 times, or 374 in a group of 5, equals 1,870.

Have a good day <333

Slopes of perpendicular lines are equal. true or false

Answers

False, parallel lines have not the same slope whereas perpendicular lines have because of this. Perpendicular lines have equal slopes.

What is a slope in mathematics?

The steepness and direction of a line, read from left to right, is referred to as its slope. Finding the ratio of will allow you to determine the slope or gradient. Between two places on the line, either by using the rise (vertical change) to the run (horizontal change). a slope-intercept version of a linear equation (y = mx + b).

based on the facts provided;

Two parallel lines' slopes are always their negative reciprocal of one another. The other has a slope of -3/2 if one has a slope of 2/3.

Therefore, perpendicular lines do not have equal slopes.

The sentence is

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Order the following numbers from least to greatest. Put the least number on the left. -0.32 -3.2 2 3|2​

Answers

The answer is -3.2, -0.32, 3|2, 2

The numbers from least to greatest are arranged as -

-3.2, -0.32, 3/2, 2

What is ascending and descending order of arrangement of numbers?Ascending order is the arrangement of numbers from the smallest to the largest. For example, the following numbers are in ascending order: 3, 15, 28, 49. Descending order is an arrangement of numbers from the largest to the smallest. For example, the numbers 45, 32, 26, 12 are arranged in descending order.

Given is the sequence of numbers as -

-0.32, - 3.2, 2, 3/2​

The given sequence of numbers is -

-0.32, -3.2, 2, 3/2​

The numbers from least to greatest are -

-3.2, -0.32, 3/2, 2

Therefore, the numbers from least to greatest are arranged as -

-3.2, -0.32, 3/2, 2.

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6.018 to 1 decimal place

Answers

Answer:

6.0

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.00

Sam is driving a distance of 140 miles from his house to visit Melissa. Sam takes city roads, on which he can travel an average of 35 mph for a total of 1.5 hours. Sam also takes the highway, on which he travels an average of 65 mph for a total of x hours. Approximately how long does Sam travel on the highway, to the nearest tenth of an hour?

Answers

The hours travelled on the highway is 1.3 hours.

What is the time travelled?

The first step is to determine the distance Sam travelled on the city road. The formula that would be used is the average speed formula. The average speed is the ratio of total distance travelled and the total time travelled.

Average speed = distance /time

average speed x time = distance

Distance = 35 x 1.5 = 52.50 miles

The second step is to determine the distance travelled on the highway.

Distance travelled on the high way = 140 - 52.50 = 87.50 miles

Now, determine the total hours travelled:

Hours travelled = distance / average speed

87.50 / 65 = 1.3 hours

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Answer: Sam traveled 1.3 hours.

Step-by-step explanation:

what are the terms and coeffients 3m - 2n ​

Answers

3m and 2n are the terms, 3 and 2 are the coefficients and m and n are the variables.

Answer:

your question is did you mean why 2n is 2n 2 serve that this queston with not involved

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April received a $75 gift card to the book store. she wants to purchase some books that cost $9 each. she also found a movie that cost $12. how many books (b) can she buy? Hi please help and show how you got to your answer! Thank you what does X equal? 3/ax - 4 = 20X= How to solve this???? what does the quote The world is too dangerous to live in, not because of the people who do evil, but because of the people who sit and let it happen. ~ Albert Einstein mean What is 2x - 4/2 = 11 at a(n) convergent boundary partial melting can form a volcanic island arc. When your muscles contract to move your body, such as during walking, work is done, and work requires energy. Based on the law of conservation of energy, from where does this energy come?. Upon combustion, a compound containing only carbon and hydrogen produces 3.54 g CO2 and 1.09 g H2O. Find the empirical formula of the compound. Help :( ill give a crown In a short story, the character Cammie meets someone named Greg througha social media website. The two hit it off and decide to meet one another inperson. Cammie's brother finds out about the meeting and becomesconcerned that Cammie will soon spend more time with Greg than with him.He sends Cammie an email pretending to be Greg, cancelling their meetingand saying he never wants to speak to her again. What character type doesCammie's brother represent?A. NarratorB. AntagonistC. FoilD. ProtagonistPREVIOUS Can someone please help with this Please help meeeeeeee please refer to the picture!! consider an incumbent that is a monopoly currently earning $1 million annually. given the declining costs of raw materials, the incumbent believes a new firm may enter the market. if successful, a new entrant would reduce the incumbent's profits to $750,000 annually. to keep potential entrants out of the market, the incumbent lowers its price to the point where it is earning $850,000 annually for the indefinite future. if the interest rate is 5 percent, does it make sense for the incumbent to limit price to prevent entry? multiple choice it does not make sense since $2 million is greater than $150,000. it does make sense since $2 million is greater than $150,000. it does make sense since $150,000 is greater than $5 million. it does not make sense since $5 million is greater than $100,000. A pump can dispose of sludge at the rate of 6,000 lb/h. How many pounds can be disposed of per minute? Put the following events into the correct order in which they are thought to have occurred according to the impact hypotethesis Develop The vice president's and the cabinet's powers have expanded as the role ofthe president has increased over time. Why does this make sense? Which statement about one atom can definitively tell you the identity of the element? a. The atom has 1 proton. b. The atom has 2 neutrons. c. The sum of the number of protons and neutrons in the atom is 3 d. The difference between the number of neutrons and protons in the atom is 1. Rocky finished a 200-meter race in 5/12 of a minute. The winner of the race used of Rocky's time to finish the race. How much time did the winner use to finish the race?Please answer this and I'll give 30 points!