Round the number to the nearest hundred. 281

Answers

Answer 1

Answer:

300

Step-by-step explanation:

because you said nearest hunderd and 281 would be 200 if it was 149 but since its 281 its further to 300

   your welcome

lex <3

Answer 2

Answer:

300

You first look to the right of the hundred and if it is 5 and above u add 1 to the hundreds place. If its 4 and below u keep it the same. You just have to remember that all the place values after the one rounded would have a value of 0


Related Questions

Given that point P partitions AB into a ratio of 3:2, and A is found at (-4, -3) and P is found at (3, 6), find the coordinates for B.

Answers

Answer:

The coordinates of B are (7.67,12)

Step-by-step explanation:

Let the coordinates of B are (h,k).

Now, point P(3,6) partitions AB into a ratio of 3 : 2 and A is found at (-4,-3).

We have to find B(h,k).

Now, from the formula of coordinate geometry we have,

[tex]3 = \frac{2(- 4) + 3h}{3 + 2}[/tex]

⇒ 3h - 8 = 15

⇒ 3h = 23

h = 7.67

And, [tex]6 = \frac{2(- 3) + 3k}{2 + 3}[/tex]

⇒ 3k - 6 = 30

⇒ 3k = 36

k = 12

Therefore, the coordinates of B are (7.67,12) (Answer)

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (StartFraction f Over g EndFraction) (x)?
all real values of x
all real values of x except x = 5
all real values of x except x = –5
all real values of x except x = 5 and x = –5

Answers

Answer:

all real values of x except x=5

Step-by-step explanation:

If [tex]f(x) = x2 – 25 and g(x) = x – 5,[/tex]

Then the domain is all real values of x except [tex]x=5[/tex].

What is domain in math?

The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.

What are all real numbers in math?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5), and irrational numbers such as √3, π(22/7), etc., are all real numbers.

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Solve: 2(23 + a) = 34

Answers

Answer:

a = −6

Step-by-step explanation:

Step 1: You should divide both sides by 2.

[tex]23+a=\frac{34}{2}[/tex]

Step 2: then simplify [tex]\frac{34}{2}[/tex] into 17.

23 + a = 17

Step 3: next, you need to subtract 23 from both sides.

a = 17 − 23

Step 4: lastly, Simplify 17 − 23 to −6 and you're done!

a = −6

Answer:

a = -6

Step-by-step explanation:

2 (23 + a) = 34

46 + 2a = 34

2a = 34 - 46

2a = - 12

a = - 12/2

a = - 6

Find the 59th term of the arithmetic sequence 29,37,45

Answers

Answer:

[tex]T_{59}= 493[/tex]

Step-by-step explanation:

Given:

Arithmetic sequence

29, 37, 45............

n = 59

We need to find the 59 term of the arithmetic sequence.

Solution:

Using formula for nth term of arithmetic sequence.

[tex]T_{n}= a + (n-1)d[/tex] -------------(1)

Where:

a = first term of the sequence.

d = Common difference.

first find the the common difference of .

[tex]d = a_{2}-a_{1}[/tex]

[tex]d=37-29[/tex]

d = 8

Substitute a = 29, d = 8 and n = 59 in equation 1.

[tex]T_{59}= 29 + (59-1)8[/tex]

[tex]T_{59}= 29 + 58\times 8[/tex]

[tex]T_{59}= 29 + 464[/tex]

[tex]T_{59}= 493[/tex]

Therefore, 59th term of the arithmetic sequence [tex]T_{59}= 493[/tex]

Answer:

the 59th term of the arithmetic sequence is T=493

Step-by-step explanation:

Here is prove

the value of x varies with y and when x=1/3 y=12 write an equationto represent the variation

Answers

Answer:

y = 36x

Step-by-step explanation:

Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = [tex]\frac{1}{3}[/tex], y = 12, then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{12}{\frac{1}{3} }[/tex] = 12 × 3 = 36

y = 36x ← equation of variation

Raquel attended a volleyball game that began at 9:30am and ended at 11:45 am she began her lunch at 12:00 pm and ended lunch at 1:00 pm. how much time raquel spend at the game and lunch​

Answers

Answer:

Raquel spend 2 hr 15 Minutes at the volley ball game and 1 hour at the lunch

Step-by-step explanation:

Time Spent at the Volley ball match

The difference of 11:45 and 9 :30 is 2:15 which indicate she spend 2 hour and 15 minutes at the lunch.

sameway , from 12 pm to 1 pm , it encounter a difference of 1 Hour.

hence , she spent 1 hr at lunch.

Allie and Sarah decided that they want to purchase renters insurance for the apartment they share. They made a list of all of the items to be covered by the insurance policy, along with their estimated values. If the items to be covered total more than $3000, the insurance company charges an annual premium of 23% of the total value of the items. If the items to be covered total $3000 or less, the insurance company charges an annual premium of 20% of the total value of the items. Using the list of items Allie and Sarah provided, determine their monthly renters insurance premium. Allie's Stuff Sarah's Stuff TV ($250) Stereo ($75) Stereo ($150) Bicycle ($250) CD's ($225) CD's ($130) DVD's ($385) DVD's ($300) Bicycle ($400) IPOD ($80) Microwave ($30) Computer ($675) Laptop Computer ($950) a. $65.00 b. $74.75 c. $325.00 d. $780.00

Answers

Answer:

The answer is b. $ 74.75

Step-by-step explanation:

First, we need to gather the data from the question.

Data:

Let x be the value of items to be insured.

1. if the items are more than $ 3 000 it means that x is greater than  $  3000 and the annual premium will be 23 % of the total value.

2. if the items are less or equal to  $ 3 000, it means that x ≤ $ 3 000 ( in other words, x is less than or equal to $ 3 000)

Second, we find the total worth of all the items. Adding up all the values gives  $ 3900 which is more than $ 3 000. Therefore, rule 1 applies.

The annual premium for the goods will be:

annual premium = 23 % × $ 3900

                          = $ 897

However, the premium is supposed to be paid monthly. Divide the total premium by 12 to get:

$ 897/12 = $ 74.75

This is option c.

Simplify.

14y+112+2−134y−12

I would appreciate it if i get an answer quickly, please and thank you.

Answers

Answer:

answer is 148y + 102

Step-by-step explanation:

First add like terms 14y + 134y = 148y

then add the whole numbere 112 + 2 = 114

then subtract 114 - 12 = 102

and you get 148y + 102

David bought 3 dvds and 4 books for $40 at a yard sale. Anna bought 1 dvd and 6 books for $18. How much did each dvd and book cost?

Answers

Answer: d=$12, b=$1

d represents DVDs

b represets books

Step-by-step explanation:

Whenever you have 2 examples of 2 different things (such as books and dvds), make a systems of equations.

Step 1: Write a system of equations

3d+4b=  40

d+6b= 18

Step 2: Eliminate any letter. I'll just choose d.

To elimiate d, you have to make them both equal to the biggest d variable. In other words, make both d terms equal to 3d. To do this, miultiply the 2nd equation by 3, and keep the 1st one the same.

3d+4b=40

3d+18b= 54

Now, elimiate d, by doing 3d-3d= 0. Now use subtraction to solve for b since we used this to get 3 and 3 to 0.

4b-18b=40-54

-14b= -14

b= -14÷-14

b= 1

Each book costs 1 dollar.

Step 3: Plug in b=1 to find how much each dvd costs (plug into any equation)

3d+4b=40

3d+4(1)=40

3d+4=40

3d=40-4

3d=36

d=36÷3

d=12

Each dvd is $12

Step 4:  Checks--plug d=12 and b=1 into any equation

3d+4b=40

3(12)+4(1)=40

36+4=40

40=40

It's correct ✅

Also i know this was answered really late but id appreciate if i could get brainliest as i worked pretty hard for this :) Hope i could help the best i could :D

2 Points
A radio wave has a wavelength of 357 m. What is this wavelength in scientific
notation?

Answers

Step-by-step explanation:

[tex]357 \: m = 3.57 \times {10}^{2} \: m[/tex]

Final answer:

The wavelength of the radio wave in scientific notation is 3.57 x 10^2 m.

Explanation:

The wavelength of a radio wave is given as 357 m. Since this is already a simple number, converting it to scientific notation would be 3.57 x 102 m. Here, '3.57' is the significant part of the number (the significand) and '2' is the power to which 10 is raised (the exponent). In scientific notation, we aim to express numbers between 1 (inclusive) and 10 (exclusive).

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

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What are the roots of the equation x^2 + -9=0

Answers

Answer:

x = 3 or x = -3

Step-by-step explanation:

If x^2 - 9 = 0 we transfer 9 to the right side of the equation and it's change negative sign to positive while doing so

now we have x^2 = 9 the square of a number must be equal to a positive number in real numbers

but the root can be either negative or positive so we say x = 3 or x = -3

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa hi plz help me

Answers

Answer:

36

Step-by-step explanation:

Easy math all you have to do is look at he problem

Find the value of x in the isoceles triangle shown below.

PLEASE HELPPPPP

Answers

Answer:

The measure of 'x' is 6 units.

Step-by-step explanation:

Given:

An isosceles triangle.

The two equal arms length = [tex]\sqrt{13}[/tex]

Measure of the altitude = [tex]2[/tex]

Note:The altitude to the base of an isosceles triangle bisects the base.

         The altitude also forms 90 degree at the base.

So, the base length can also be seen as 'x' which we can also be written as [tex]x=\frac{x}{2} +\frac{x}{2}[/tex]

And [tex]\frac{x}{2}[/tex] is a part of the right angled triangle.

Where hypotenuse = [tex]\sqrt{13}[/tex]

Perpendicular length =[tex]2[/tex]

Base length = [tex]\frac{x}{2}[/tex]

Now,

From Pythagoras formula we know that:

[tex](hypotenuse)^2 =(perpendicular)^2+ (base)^2[/tex]

Plugging the values:

⇒  [tex](hypotenuse)^2 - (perpendicular)^2 = (base)^2[/tex]

⇒  [tex]\sqrt{ (hypotenuse)^2 - (perpendicular)^2} = (base)[/tex]

⇒  [tex]\sqrt{(\sqrt{13})^2-(2)^2} =\frac{x}{2}[/tex]

⇒ [tex]\sqrt{13-4}=\frac{x}{2}[/tex]

⇒ [tex]\sqrt{9} =\frac{x}{2}[/tex]

⇒ [tex]3=\frac{x}{2}[/tex]

⇒ [tex]3\times 2=x[/tex]

⇒ [tex]6 = x[/tex]

So the value of base 'x' = 6 units.

Option D is the rigth choice.

Please help fast!! A, B, C or D?

Answers

Answer:

the answer would be is 6

Answer:

a

Step-by-step explanation:

How is the sum expressed in sigma notion? Multiple choice

Answers

Answer:

The given sum expressed in sigma notation is

[tex]\sum\limits_{i=1}^{5}4^{i-4}[/tex]Therefore [tex]\sum\limits_{i=1}^{5}4^{i-4}=\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]

Step-by-step explanation:

Given series is [tex]\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]

The given sum expressed in sigma notation is

[tex]\sum\limits_{i=1}^{5}4^{i-4}[/tex]Now verify that the sigma notation [tex]\sum\limits_{i=1}^{5}4^{i-4}[/tex] is correct or notNow expand the series [tex]\sum\limits_{i=1}^{5}4^{i-4}=4^{1-4}+4^{2-4}+4^{3-4}+4^{4-4}+4^{5-4}[/tex]   [tex]=4^{-3}+4^{-2}+4^{-1}+4^{0}+4^{1}[/tex]  ( using the properties [tex]a^{-m}=\frac{1}{a^m}[/tex] and [tex]a^0=1[/tex] )[tex]=\frac{1}{4^3}+\frac{1}{4^2}+\frac{1}{4^1}+1+4[/tex][tex]=\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]Therefore [tex]\sum\limits_{i=1}^{5}4^{i-4}=\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]Hence verified

Answer:

Option 2

Step-by-step explanation:

1/64 = 4^-3

1/16 = 4^-2

1/4 = 4^-1

1 = 4^0

4 = 4^1

Please help me... Has to be in my 1pm today and I have no idea... out of my league but I need to pass to get into the course I want

Answers

Answer:

AB  = -4i -7j

CD  = -5i + 4j

Step-by-step explanation:

i.) vector AB  = -4i -7j

 where i is the unit vector in the x direction and j is the unit vector in the y direction.

vector AB is 7 units down and 4 units west

ii)vector CD  = -5i + 4j

  vector CD is 5 units west and 4 units up

The cost of a rental car at a certain company is a $50 fee plus $0.40 for each mile driven up to 100 miles. For every
mile over 100 miles it is $0.50 per mile. What would the total cost be for renting the car and driving it 120 miles?
A. $40
B. $50
C. $90
D. $100
E. $110

Answers

Answer:

D

Step-by-step explanation:

50 + .40(100) = 90

.50(20) = 10

90 + 10= 100

Answer:

D: 100

So the first multiply 0.4 times 100 which you would get 40 now add the 50 dollar fee to 40 which you would get 90 dollars. Now for the 20 miles remaining multiply 0.5 times 20 which you would get 10. Now add everything together 90+10 which would equal 100.

ans
Directions: Type your answer in the box without the dollar sign.
Brian purchased 4 items that were $1.00 each. The sales tax rate is 5.5%. How
much was Brian's total bill including sales tax?

Answers

The correct answer is $4.22.

Is states that Brian purchased 4 items that were $1.00.

That means he has spent a total of $4.00.

5.5% of $4.00 is 0.22.

Add that together and it gives you the sum/answer of $4.22.

Write 4,570,000 in scientific notation

Answers

Answer:

4.57 x 10(little 6 lol )

Step-by-step explanation:

4.57 x 10^6

(use the caret symbol [^] to type or write)

4.57E+6

(Scientific E-notation)

4570000

(Real Number)

There are 16 ounces in 1 pound Chanda picked 9 pounds of cherries from her tree this year find the number of ounces of cherries

Answers

Answer:

16 x 9 = 144 144 is the answer.

Step-by-step explanation:

May had 66 books. She gave 3 books to 11 friends. Then, she got 51 more. How many books does May have now?

Answers

Answer:

81

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

So 3 and 11 make 33 and subtract that from 66. That gives you 33. Add 51 and you get 84.


67​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is ​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four.

Answers

Final answer:

To calculate probabilities in a binomial experiment, use the binomial probability formula. For exactly five successes, use P(X=k) = C(n,k) * p^k * (1-p)^(n-k). For at least six successes, sum the probabilities of getting exactly six to ten successes. For less than four successes, sum the probabilities of getting zero to three successes.

Explanation:

To find the probability of selecting a certain number of U.S. adults with very little confidence in newspapers, we can use the binomial probability formula. For (a) exactly five, we can calculate the probability using the formula P(X=k) = C(n,k) * p^k * (1-p)^(n-k), where n is the number of trials (10), k is the desired number of successes (5), p is the probability of success (0.67), and C(n,k) is the number of combinations. Plugging in the values, we find P(X=5) = C(10,5) * (0.67)^5 * (1-0.67)^(10-5).

For (b) at least six, we need to calculate the probability of getting six or more successes. We can find this by summing the probabilities of getting exactly six, seven, eight, nine, and ten successes: P(X>=6) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10).

For (c) less than four, we need to calculate the probabilities of getting zero, one, two, or three successes: P(X<4) = P(X=0) + P(X=1) + P(X=2) + P(X=3).

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Ann has a business mowing lawns
in her neighborhood. On Mondays
she makes $18, on Tuesdays she
makes $25, and on Thursdays she
makes $19. If Ann makes this
much money every week, how
much will she have made in 3
weeks?​

Answers

186, 18+25+19 =62 and 62 times 3 is 186

The slope of a line is -3 and the y-intercept is (0,4). What is the equation of the line in slope-
intercept form?

Answers

Answer:

y=-3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-3(x-0)

y-4=-3(x)

y-4=-3x

y=-3x+4

What the answer to this is

Answers

Answer:

1 and 2 or A

Step-by-step explanation:

it is only what macks seans

Solve: x + 1.5= 5.7
How do I solve this?



Answers

Answer:

4.2

Step-by-step explanation:

5.7-1.5=4.2

Answer: x = 4.2

Explanation: If we're asked to solve for x in the equation x + 1.5 = 7.5, what we're really being asked to do is get x by itself on one side of the equation.

So if we take a look at the left side of our equation, notice that 1.5 is being added to x so in order to get x by itself, we must subtract 1.5 from the left side of the equation. Now remember your first rule of solving equations. If we subtract 1.5 from the left side of the equation, we must also subtract 1.5 from the right side of the equation.

So on the left side our +1.5 and -1.5 cancel out and we're simply left with x. On the right side of the equation,

5.7 - 1.5 simplifies to 4.2 so our answer is x = 4.2.

The nice thing about solving equations is that you can always check your answer by plugging it back in to the original equation.

So here, we're gonna plug a 4.2 back in for x in the original equation and we get (4.2) + 1.5 = 5.7.

Since 4.2 + 1.5 = 5.7 is a true statement, our answer checks and we know that it's right.

What is the domain of the function y = StartRoot x EndRoot + 4

Answers

Answer:

third option !!!! 0 less-than-or-equal-to x less-than infinity

Step-by-step explanation:

Final answer:

The domain of the function y = √x + 4 is all real numbers x such that x ≥ 0, because the square root of a negative number is not a real number in the set of real numbers.

Explanation:

The given function is y= x +4. The square root function x  is defined only for non-negative values of x. This is because the square root of a negative number is not a real number in the real number system.

Therefore, for the given function to be defined, the expression inside the square root (x) must be greater than or equal to zero. Mathematically, this condition is expressed as:x≥0

This inequality ensures that the square root is always defined for any real number x in the domain of the function.

So, the domain of the function y= x +4 is all real numbers x such that  x≥0. In interval notation, this can be expressed as [0,∞).

What are the x-intercepts of the graph of the equation y = x² + 4x - 5 ?
5 and 1
-5 and 1
-5 and 0
5 and -1

Answers

Answer:

The x-intercepts of the graph of the equation y = x² + 4x - 5 is -5 and 1

Step-by-step explanation:

Given:

y = x² + 4x-5

To Find:

x-intercepts

Solution:

Finding the value of the x  by using quadratic formula

x  = [tex]\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

On substituting the values ,

x = [tex]\frac{-4 \pm \sqrt{(4)^2 -(4(1)(-5))}}{2(1)}[/tex]

x = [tex]\frac{-4 \pm \sqrt{16 -(-20)}}{2}[/tex]

x = [tex]\frac{-4 \pm \sqrt{36}}{2}[/tex]

x = [tex]\frac{-4 \pm6 }{2}[/tex]

[tex]x = \frac{-4-6}{2}[/tex]                     [tex]x = \frac{-4+6}{2}[/tex]

[tex]x = \frac{-10}{2}[/tex]                       [tex]x = \frac{2}{2}[/tex]

x =  -5                       x =  1

a boat costs $16600 and decreased in value by 14% per year. How much will the boat be worth after 11 years?

Answers

The worth of boat after 11 years is $ 3159.3013

Solution:

Given that,

Boat costs $16600 and decreased in value by 14% per year

To find: Worth of boat after 11 years

The formula for decreasing function is given as:

[tex]y = a(1-r)^t[/tex]

Where,

y is the value after "t" years

t is the number of years

a is the initial value

r is decreasing rate in decimal

From given,

a = 16600

t = 11

[tex]r = 14 \% = \frac{14}{100} = 0.14[/tex]

Substituting the values we get,

[tex]y = 16600(1-0.14)^{11}\\\\y = 16600(0.86)^{11}\\\\y = 16600 \times 0.1903\\\\y = 3159.3013[/tex]

Thus the worth of boat after 11 years is $ 3159.3013

solve the system of equations by graphing. x+y=-9 4x+y=-19

Answers

For this case we have the following system of equations:

[tex]x + y = -9\\4x + y = -19[/tex]

We multiply the first equation by -4:

[tex]-4x-4y = 36[/tex]

We have the following equivalent system of equations:

[tex]-4x-4y = 36\\4x + y = -19[/tex]

We add the equations:

[tex]-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}[/tex]

We find the value of the variable "x":

[tex]x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}[/tex]

Thus, the solution of the system is:

[tex](x, y): (- \frac {10} {3}, - \frac {17} {3})[/tex]

See the graphic in the attached image

ANswer:

[tex](x, y): (- \frac {10} {3}, - \frac {17} {3})[/tex]

See the graphic in the attached image

Answer: D

Step-by-step explanation:

Edge 2021

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Eating broccoli and other dark green vegetables cuts the risk of cancer by up to 30 percent. As you can see, eating a healthy diet is very beneficial. Don't be the only one on the block who doesn't own a Patio-tastic Pool. What will you do while all the others are having fun? Try Becky's Biscuits, the trusted name in baked goods for more than 50 years. What kind of pet owner would you be if you didn't buy your dog a Fetchem-Catchem Frisbee? Joanne and Betty have a combined age of 60 years. If Joanne is 18 years old,how old is Betty? a 9-kilogram bag of sugar cost $27.54. what is the unit price ? -1/3 +5e =3/7find e Which sequence of events is required to form a limestone cave where you can walk around and observe cave formations, such as stalactites? (PLEASE HELP WILL GIVE BRAINLIEST)What is the equation of this trend line?Enter your answers by filling in the boxes.K = _ J + _ Ana was interested in the relationship between funding sources for nutritional researches and the conclusions of those researches. She gathered information on all researches concerning soft drinks that were published between 11 January, 1999 and 31 December, 2003, and compared the source of their funding with the results of the research. What type of a statistical study did Ana use? The precursor to the motion picture experience in movie theaters was the American nickelodeon. For the price of a nickel, viewers could watch short vignettes with high entertainment value played back by Thomas Edison's Kinetoscope. The experience of watching these short recorded scenes was similar to the experience of attending a ___________. Significant Figures PracticeName________________________ Date_____________ Section________________1. State the number of significant digits in each measurement. 1) 2804 m2) 2.84 km3) 5.029 m4) 0.003068 m5) 4.6 x 105 m 6) 4.06 x 10-5 m7) 750 m8) 75 m 9) 75,000 m 10) 75.00 m 11) 75,000.0 m 12) 10 cm 2. Round the following numbers as indicated:To four figures:3.68241721.860051375.6523112.51145.4673To one decimal place:1.35112.4735.6875247.5558.235To two decimal places:22.49479.25880.030623.412541.866323. Solve the following problems and report answers with appropriate number of significant digits.1) 6.201 cm + 7.4 cm + 0.68 cm +12.0 cm = 2) 1.6 km + 1.62 km +1200 km = 3) 8.264 g - 7.8 g = 4) 10.4168 m - 6.0 m = 5) 12.00 m+15.001 kg= 6) 1.31 cm x 2.3 cm = 7) 5.7621 m x 6.201 m = 8) 20.2 cm / 7.41 s = The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner of the this race was 23.66 mph in that same year of the race was 2292 miles long how long did it take the winner to complete the race If a student determined that the volume of a sample of water is 11.4 mL, and its mass is 10.98 g, what should the student record as the experimental density of the water sample, with the correct number of significant figures Buy machine. The machine could be purchased for $169,000 in cash. All maintenance and insurance costs, which approximate $14,000 per year, would be paid by Kiddy. 2.Lease machine. The machine could be leased for a 10-year period for an annual lease payment of $34,000 with the first payment due immediately. All maintenance and insurance costs will be paid for by the Lollie Corp. and the machine will revert back to Lollie at the end of the 10-year period. Required Assuming that a 8% interest rate properly reflects the time value of money in this situation and that all maintenance and insurance costs are paid at the end of each year, find the present value for the following options. Ignore income tax considerations. Determine which option Kiddy should choose. Inflating your income to get a loan approved is: Micromedia offers computer training seminars on variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting. Micormedia is currently planning a two-day seminar on the use of Microsoft Excel in statistical analysis. The projected fee for the seminar is $300 per student. The cost for the conference room, instructor compensation, lab assistants, and promotion is $4800. Micromedia rents computers for its seminars at a cost of $30 per computer per day.a. Develop a model for the total cost to put on the seminar. Let x represent the number ofstudents who enroll in the seminar.b. Develop a model for the total profit if x students enroll in the seminar.c. Micromedia has forecasted an enrollment of 30 students for the seminar. How muchprofit will be earned if their forecast is accurate?d. Compute the breakeven point.