the standard form: four and sixty-eight hundredths

Answers

Answer 1

Answer:

4 17/25  

Step-by-step explanation:

                                                              68

four and sixty-eight hundredths => 4 -------  or 4 34/50  or 4 17/25                    

                                                               100

Answer 2

Answer:

you would need to use decimals

Step-by-step explanation:


Related Questions

What is the solution for -10 -19 x -1 x < -1

Answers

Answer:

x>-9/20 or x > -0.45

Step-by-step explanation:

simplify both sides of the inequality:

-20x-10<-1

add 10 to both sides of the inequality:

-20x<9

divide both sides of the inequality by -20:

x>-9/20

divide to discover the decimal value:

-9/20= -0.45

HOPE THIS HELPS!!!:)

Answer:x<-0.5

Step-by-step explanation:

10-19x-1x<-1

1st step=subtract 1x from 19x which will give you 18x

equation after:10-18x<-1

2nd step:subtract 10 from each side to isolate variable

equation after:-18x=9

3rd step:divide by side by -18 to isolate the variable

equation after:x<-0.5

Plz answer fast! Tell the correct answer(both parts), or else I will report you.

Answers

Answer:

a1=7

an = an-1 * -2

Step-by-step explanation:

7,-14,28,-56

The first term is a1 so a1 = 7

We are multiply by -2 each time

7*-2 =-14

-14*-2 =28

28*-2 = -56

an = a(n-1) * -2

If a= 3 and b= 5, find b/a=
2/5
3/5
05/3

Answers

Answer:

05/3

Step-by-step explanation:

5/3 = 1.66

Answer:

5/3

Step-by-step explanation:

a= 3 and b= 5

b/a

5/3

Plzz help me I’ll mark brainliest

Answers

Answer:

The answer is option B

Step-by-step explanation:

To find the side adjacent to the 50° angle we use tan

[tex] \tan( \alpha ) = \frac{opposite}{adjacent} [/tex]

From the question

The opposite is 6m

The adjacent is ?

So we have

[tex] \tan(50) = \frac{6}{?} [/tex]

[tex]? \tan(50) = 6[/tex]

[tex]? = 6 \times \frac{1}{ \tan(50) } [/tex]

But

[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]

So we have

[tex] \frac{1}{ \tan(50) } = \cot(50) [/tex]

Substitute it into the expression

That's

We have the final answer as

[tex]? = 6 \cot(50) [/tex]

Hope this helps you

Answer: 6*cot(50),  choice B

=====================================================

Explanation:

We're given an opposite side and an adjacent side. The tangent rule ties these two sides together. "tangent" is nowhere to be found in any of the answer choices, but cotangent is. Recall that

cot = 1/tan

which means

tan = opposite/adjacent

cot = adjacent/opposite

one is the reciprocal of the other

-----------

This means

cot(angle) = adjacent/opposite

cot(50) = x/6

6*cot(50) = x

x = 6*cot(50)

Please help ASAP!!!!!!!

Answers

Answer:

  $86.81

Step-by-step explanation:

Using the given formula, we want to compute A for ...

  P = 4750

  r = 0.2279

  n = 365 . . . . . assuming "exact" interest

  t = 1 or 30

For 1 day late:

  A = 4750(1 +0.2279/365)^(365·(1/365)) = 4752.97

For 30 days late:

  A = 4750(1 +0.2279/365)^(365·(30/365)) = 4839.78

The difference in these payment amounts is ...

  $4839.78 -4752.97 = $86.81

You would save $86.81 in interest charges by paying only 1 day late.

_____

Comment on the question

It would be a poor choice of credit card to use one that compounds interest daily. Most do so on a monthly basis.

Answer 86.61 !


Explanation : copied other person if you don’t mind


Plot the function
y = (x + 1)(x - 3) by following these steps:
4
Step 1: Plot the x-intercepts of the function.

Answers

Answer:

Zoom it to see well

Step-by-step explanation:

The equation of the parabola is y = (x - 1)² - 4. Then the vertex of the parabola is at (1, -4) and the parabola passes through (0, -1) and (0, 3).

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The equation is given below.

y = (x + 1)(x - 3)

We know that the equation is a parabolic equation.

And the value of y at -1 and 3 is zero.

The equation can be written as

y = x² - 2x -3

y = (x - 1)² - 4

And the vertex of the parabola is at (1, -4).

The graph is shown below.

More about the parabola link is given below.

https://brainly.com/question/8495504

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If g (x) is the inverse of f (x) and f (x) = 4 x + 12, what is g (x)
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus

Answers

Answer:

[tex]g(x) = \frac{1}{4} x - 3[/tex]

Step-by-step explanation:

Since g(x) is the inverse of f (x) to find g(x) must first find f-¹(x)

To find f-¹(x) equate f(x) to y

That's

f(x) = y

y = 4x + 12

Next interchange the terms x becomes y and y becomes x

That's

x = 4y + 12

Next make y the subject

4y = x - 12

Divide both sides by 4

[tex]y = \frac{1}{4} x - 3[/tex]

Therefore

[tex]g(x) = \frac{1}{4} x - 3[/tex]

Hope this helps you

g(x)=1/4x-3 is what i got

wat is (12+6-5*3)*(2*2+1-7+2)=

Answers

Answer:

[tex]\huge\boxed{0}[/tex]

Step-by-step explanation:

First we have to do the operation of multiplication

=> (12+6-15)*(4+1-7+2)

Now, Solving the terms inside the brackets

=> (18-15)*(5-7+2)

=> (3)*(-2+2)

=> (3)*(0)

=> 0

Answer:

[tex]\Huge \boxed{{0}}[/tex]

Step-by-step explanation:

[tex](12+6-5*3)*(2*2+1-7+2)[/tex]

Solve brackets.

[tex](12+6-15)*(4+1-7+2)[/tex]

[tex](3)*(0)[/tex]

Multiply both numbers.

[tex]3 \times 0 = 0[/tex]

Find the m∠DCA A. 10 B. 29 C. 116 D. 40

Answers

DCA is 116 because x=29, when you plug 29 into x you get 116

Hence, the m∠DCA is 59.2

What is an angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs, and sometimes the arms of the angle.

How to solve?

m∠DCB = (4x) + (6x-58) = 90

10x = 148

x = 14.8

m∠DCA = 4x

             = 4(14.8)

             = 59.2

to learn more about angles: https://brainly.com/question/25716982

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Veronica wants to buy a house that costs $249,900. She is going to make a 20% down payment. How
much is her down payment in dollars?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

$49,980

▹ Step-by-Step Explanation

[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer

49,900

Step-by-step-explanation

go two across and place the decimal there, so 20% will be turned into 0.20 and multiply 0.20 by the 249,900. When you are done you will get the amount.

Hope this helped!

Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply. The quadratic equation is in standard form. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0. There are two real number solutions. There are no real number solutions. A solution of the system of equations is (–1, 1.5).

Answers

Three Answers: choice A, choice B, choice C.

Basically the first three items are true, with the rest false.

=========================================================

Explanation:

Let's go through each answer choice one by one to see if it is true or false.

---------------------

A. The quadratic equation is in standard form.  

This is true. Standard form for quadratics is y = ax^2+bx+c. In this case, a = 2, b = 0, c = 3. It might help to write the equation as y = 2x^2+0x+3.

---------------------

B. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0.  

This is true. Start with y-x = 6. Replace y with 2x^2+3 and we get

2x^2+3-x = 6

From here we subtract 6 from both sides

2x^2+3-x-6 = 6-6

2x^2-x-3 = 0

---------------------

C. There are two real number solutions.  

This is true. When you graph the two equations (I recommend GeoGebra but Desmos is another good tool), you'll see they intersect at two different locations. Each location is a solution in the form (x,y).

---------------------

D. There are no real number solutions.  

This is false. It contradicts choice C.

---------------------

E. A solution of the system of equations is (–1, 1.5).

This is false. The two solutions are (-1, 5) and (1.5, 7.5) which is where the two graphs intersect.

Another way to check is to plug x = -1 into either equation. You'll find the result to both is y = 5 instead of y = 1.5

Answer:

its ABC

Step-by-step explanation:

nasa's voyager 1 rocket was able travel 1.224 x 10^5 kilometers in two hours. what is its average speed in kilometers per second?

6.12 km per sec
10.2 km per sec
17 km per sec
61,200 km per sec

Answers

Answer:

17 km/s

Step-by-step explanation:

1.224 x 10^5 = 122400

There are 7200 seconds 2 hours

122400 / 7200 = 17

17 Km/s. Step by step evaluation

simplify
3sin 0+ 2sin 0- 4sin0+ 5sin0
step by step

Answers

Answer:

0

Step-by-step explanation:

3x0+2x0-4x0+5x0

0

A 40 pound bag of topsoil will
cover a surface area of 12 square
feet.
a. How many pounds of topsoil are
needed to cover a surface area of
480 square feet?
b. How many bags of topsoil must
be purchased to cover a surface
area of 480 square feet?

Answers

For number of bags, divide total area by the area 1 bag can cover.

480 / 12 = 40 total bags.

Now for total weight, multiple total bags by weight per bag:

40 bags x 40 pounds = 1,600 total pounds.

A = 40 bags

B = 1,600 pounds

480/12 = 40 is you’re answer !<3

Find the total surface area of this cone.
Round to the nearest tenth.

Answers

Answer:

A ≈ 312.1

Step-by-step explanation:

[tex]A = \pi r(r+\sqrt{h^2 + r^2})[/tex]

r = 5

h = 14

[tex]A = \pi 5(5+\sqrt{14^2+5^2})[/tex]

A = 312.055478161

312.1 is definitely the answer.

What is the product of the complex numbers 8i and 5i? (1 point)
040
402
40
40i
JUST NEED SOME HELP :(

Answers

Answer:

-40

Step-by-step explanation:

8i* 5i

40 i^2

We know that i^2 = -1

40 *-1

-40

Answer:

-40

I hope this helps. i had the same question and it was right

Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the correct solution. 8 + 2(3p + 1) = 10(3 p +1) = 30p +10

Answers

Answer:

The correct answer is 10+6p

Step-by-step explanation:

The mistake is that for the first step instead of distributing 2 to 3p and 1 they added 8+2 first. your actually supposed to distribute and get, 8+6p+2, then combine like terms and get 10+6p

Answer:

Mistake: He added 8 to the 2 that you needed to multiply to the 3p and 1 inside the parentheses.

Correct solution: 10 + 6p

Step-by-step explanation:

8 + 2(3p + 1) =

8 + 6p + 2 =

10 + 6p

Hope that helps and maybe earns a brainliest!

Have a fantastic day! :)

What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers Interval:

Answers

Answer:

Step-by-step explanation:

There is a graph from minus infinity to y = -6.

The range is (-infinity, -6).  

The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The function is shown.

The domain of the graphed function will be given by observing the graph.

Then the domain will be (-∞, 8].

And the range of the graphed function will be given by observing the graph.

Then the range of the graphed function will be (-∞, -6].

Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

More about the domain and range link is given below.

https://brainly.com/question/12208715

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1
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again.

Answers

Answer:

72  minutes until they play again

Step-by-step explanation:

18+18+18+18=72

24+24+24=72

Answer:  72 minutes

======================================================

Explanation:

The GCF of 18 and 24 is 6, since this is the largest factor shared between the two numbers

18 = 6*324 = 6*4

To find the LCM, we'll involve the GCF. The LCM of two numbers x and y is found by multiplying them, and then dividing over the GCF of them.

LCM of x and y = (x*y)/(GCF of x and y)

LCM of 18 and 24 = (18*24)/6

LCM of 18 and 24 = 432/6

LCM of 18 and 24 = 72

-----------

To help confirm this, we can list out the multiples of each

multiples of 18 are: 18, 36, 54, 72, 90, ...multiples of 24 are: 24, 48, 72, 96, ...

We see that 72 is the lowest common multiple. This is the final answer because each station will play the same song 72 minutes apart.

The stations play the same song at 3 PM. Then 72 minutes later (4:12 PM), the same song is played again on both stations at the same time. Then at 5:24 PM, another 72 minute gap, is when the same song is played again at the same time. And so on.

----------

Side note: 72 minutes = 60 min + 12 min = 1 hr, 12 min

1. Association Suppose you were to collect data for each pair of
variables. You want to make a scatterplot. Which variable would
you use as the explanatory variable and which as the response
variable? Why? What would you expect to see in the scatter-
plot? Discuss the likely direction, form, and strength.
a) Apples: weight in grams, weight in ounces
b) For each week: ice cream cone sales, air-conditioner sales
c) College freshmen: shoe size, grade point average
d) Gasoline: number of miles you drove since filling up, gallons
remaining in your tank

Answers

D - gasoline number of miles you drove since filling up
the answer is D i think

pls help me with this friends

Answers

Answer:

A,B,C

Step-by-step explanation:

if you see that two small make a square then you know three make one and a half.

A,b,c
This is the correct answer

A dozen more than a number minus twice the number

Answers

X•2+12 I’m not sure if that’s what you’re looking for though
(x + 12) - 2x. i think that’s it lol

Please help! I need detail and I need a part a and a part b! Please I need this fast!

Answers

Answer:

A) 60 cents

B) 10 pounds of cabbage = 6 $

Step-by-step explanation:

The number of pounds of cabbage = (x)

The price = (y)

(x,y) = (5,3)

That means for 5 pounds of cabbage the price is 3 dollars.

A.

The price for 1 pound of cabbage can be found using this equation

5x = 3

x = 3/5 or 0.6

60 cents.

B.

(10,6) means that for 10 pounds of cabbage, the price is $6.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

a- 60
b- 10lbs of cabbage, 6 $

The admission fee at a carnival fair is $4.50 for children
and $8.00 for adults. One day, 2200 people attended the fair
and $5050 was collected. How many children and how many
adults attended?
Lets say:
c= number of children
a= number of adults

Answers

Answer:

Adult=1,385.71

Children=814.29

Approximately

Adult=1386

Children=814

Step-by-step explanation:

c= number of children

a= number of adults

Admission fee for children=$4.50

Admission fee for adults=$8.00

Total attendees=2200

Total amount realized=$5050

We need two equations to solve the two unknowns

c + a=2200 (1)

4.50c + 8.00a=5,050 (2)

From (1)

c + a=2200

c=2200 - a

Substitute c=2200 - a into (2)

4.50c + 8.00a=5,050

4.50(2200 - a) + 8.00a=5050

9900 - 4.50a +8.00a=5050

Collect like terms

9900-5050= -4.50a+8.00a

4,850=3.5a

Divide both sides by 3.5

1,385.71=a

Substitute a=1,385,71 into (1)

c + a=2200

c+1385.71=2200

c=2200-1385.71

=814.29

c=814.29

1386 for adults and 814 for children

Find the m∠RLU. A. 20 B. 42 C. 84 D. 10

Answers

Answer:

b is the correct answer. p is 10

The value of m∠RLU = 10.

How to estimate the value of m∠RLU?

Given: (5p - 8) and (2p + 22)

Simplifying both of the equation, then we get

5p - 8 = 2p + 22

Add 8 to both sides of the equation, then we get

5p - 8 + 8 = 2p + 22 + 8

simplify

5p = 2p + 30

substract 2p from both sides of the equation

5p - 2p = 2p + 30 - 2p

3p = 30

p = 30/3

p = 10.

m∠RLU = 10

Therefore, the correct answer is option D. 10.

To learn more about angles and triangle

https://brainly.com/question/19703680

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Name five fractions between 6/7 and 9/10

Answers

Answer:

43/50, 22/25, 111/125, 1111/1250, and 179/200.

Step-by-step explanation:

6/7 = 0.8571428571

9/10 = 0.9

The fractions can be anywhere within that range.

The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.

The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.

The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.

The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.

The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.

Hope this helps!

Answer:

43/50, 22/25, 111/125, 1111/1250, and 179/200.

Step-by-step explanation:

6/7 = 0.8571428571

9/10 = 0.9

The fractions can be anywhere within that range.

The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.

The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.

The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.

The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.

The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.


Jerome currently has an account balance of $1,859.55. His initial deposit on the account was $825 and it earned 5.7% simple interest. How long has Jerome held the
account?

Answers

Answer:

22 years

Step-by-step explanation:

Well we know the formula for simple interest is

I = PRT

I = interest earned

P = initial balance

R = rate

T = time

We want to solve for time here....so rearrange for T

T= I/(PR )

We have

P = 825

R = .057

And I = current balance - initial balance = 1859.55 - 825 = 1034.55

So plugging all those in we have

T = 1034.55/(825×.057 )

T = 1034.55/47.025

T = 22

It was held for 22 years.

The answer for this would be 22 Years.

Identify the slope and y-intercept of the graph of the equation. y = 5/3 x -2

Answers

Answer:

Slope: [tex]\frac{5}{3}[/tex]

Y-intercept: -2

Step-by-step explanation:

Conveniently, this equation is already in slope-intercept form.

The slope is always the constant of proportionality, which we multiply x by.

Therefore the slope is  [tex]\frac{5}{3}[/tex].

The y-intercept is always the constant that comes after the x term, which is -2.

So the y-intercept is -2.

Hope this helped!

Answer:

Slope: 5/3

Y-intercept: -2

Step-by-step explanation:

Since your equation is already in slope intercept form, it makes it easier for you to identify the slope and y-intercept.

In your equation ([tex]y = \frac{5}{3} x -2[/tex]) the coefficient of 5/3 is your slope and your constant of -2 is your y-intercept.

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Simplify: 15 7/12 x−9 1/3 x

Answers

I think it Should be 6.25x or 25/4x
6.25x would be the correct answer

PLEASE HELP ASAP
No explanation needed

The Kellen school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IQR σ High School W 108 180 72 169 150 47.5 29.5 High School X 112 180 68 160 124 49.5 32.4 High School Z 130 180 50 162 151 39.5 27.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

Answers

Answer:

(A) It should choose High school Z for the most consistent attendance among its students.

(B) It should choose High school W with the highest average attendance.

Step-by-step explanation:

We are given the data for attendance in the table below, where Low represents the fewest days attended and High represents the most days attended for a single student.

School         Hight School W      High School X       High School Z

Low                       108                          112                          130

High                      180                          180                         180

Range                    72                           68                           50

Mean                    169                          160                          162

Median                 150                          124                          151

IQR                       47.5                         49.5                        39.5

S.D. (σ)                 29.5                         32.4                        27.5

(A) It is stated that the school district wants to award the school that has the most consistent attendance among its students.

Now, to check which high school should it choose; we will look for the standard deviation (σ) of each of the three schools because consistency is measured through standard deviation and the school with the lowest standard deviation means that it has the most consistent attendance among its students.

So, after looking at the standard deviation of all the three schools; the High School Z has the lowest standard deviation of 27.5.

This means that it should choose High school Z.

(B) It is stated that the school district wants to award the school with the highest average attendance.

Now, to check which high school should it choose; we will look for the Mean of each of the three schools because average is measured through mean of the data, and the school with the highest mean means that it has the highest average attendance.

So, after looking at the Mean of all the three schools; the High School W has the highest average of 169.

This means that it should choose High school W with the highest average attendance.

I wrote my answer somewhere else where it would not let me copy and paste :/ but here :D
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'm' represent the whole numbers between 5 and 7 Read the following speech excerpt and then select the correct answer to the question below: President George W. Bushs speech to the troops on the USS Abraham Lincoln Our mission continues. Al-Qaida is wounded, not destroyed. The scattered cells of the terrorist network still operate in many nations, and we know from daily intelligence that they continue to plot against free people. The proliferation of deadly weapons remains a serious danger. The enemies of freedom are not idle, and neither are we. Our government has taken unprecedented measures to defend the homeland and we will continue to hunt down the enemy before he can strike. The war on terror is not over, yet it is not endless. We do not know the day of final victory, but we have seen the turning of the tide. No act of the terrorists will change our purpose, or weaken our resolve, or alter their fate. Their cause is lost. Free nations will press on to victory. Other nations in history have fought in foreign lands and remained to occupy and exploit. Americans, following a battle, want nothing more than to return home. And that is your direction tonight. After service in the Afghan and Iraqi theaters of war after 100,000 miles, on the longest carrier deployment in recent history you are homeward bound. Some of you will see new family members for the first time 150 babies were born while their fathers were on the Lincoln. Your families are proud of you, and your nation will welcome you. How does the sentence "Free nations will press on to victory" relate to the central idea of the speech? It furthers the idea that service people returning home will be called back out quite soon. It supports the main point that this is an ongoing fight that America will not abandon. It challenges the notion that Afghan people need an American presence to ensure their safety. It adds to the idea that it is essential to remove any American military presence beyond in other lands. what is Social responsibilities in business Modernity has largely led to the collapse of strong marital ties and subsequently affected the choice of mates. Critically provide a four (4)- point coherent and logical underpinnings to prove the truth or otherwise What was the impact of the NSW Freedom Ride on thecivil rights of Aboriginal and Torres Strait Islander peoples? 21. Every day I _______ up at 6 o'clock, _______ breakfast at 7 o'clock and _______ for work at 8 o'clockA. get / eat / leave B. have got / eating / leavingC. got / ate / left D. will get / have eaten / left22. Yesterday, I _______ for work late because I _______ to set my alarm.A. had left / forgot B. was leaving / was forgettingC. left / had forgot D. had been leaving / would forget23. By the time we _______ to the train station, Susan _______ for us for more than two hours.A. will get / has been waiting B. got / was waitingC. got / had been waiting D. get / will wait24. I _______ for this company for more than thirty years, and I intend to stay here until I _______ next year. A. am working / will retire B. am going to work / am retiringC. work / am going to retire D. have been working / retire25. My mother always the first _______ up and the last _______ to bed.A. getting / going B. to get / going C. getting / to go D. to get / to go26. I _______ you last night after dinner, but you _______ there. Where _______ you?A. was calling / are not / are B. called / were not / were C. had called / had not been / were D. called / have not been / are27. The Titanic _______ the Atlantic when it _______ an iceberg.A. was crossing / struck B. had crossed / was strikingC. crossed / had struck D. is crossing / strikes28. _______ to come over for dinner tonight?A. Do you want B. Are you wanting C. Have you wanted D. Will you want29. What _______ at this time tomorrow?A. will you do B. will you be doingC. will you have done D. will you have been doing30. The number of the participants in the survey _______ 250 students for Oxford University.A. are B. was C. were D. have been31. The grass was yellow because it _______ all summer.A. does not rain B. has not rained C. had not rained D. would not rain32. Many people even wonder these days _______.A. what marriage is B. what is marriageC. what marriage was D. what was marriage33. The lights _______ out because we _______ the electricity bill.A. have gone / did not pay B. will go / did not paidC. go / would not pay D. went / had not paid34. _______ Tom Cruise's last movie? Yes, I _______ it three days agoA. Have you ever seen / saw B. Did you ever see / have seenC. Had you ever seen / would see D. Will you ever see / saw35. In the past, people _______ to the beach more often.A. have gone B. used to go C. were going D. had gone36. Soon, people _______ most of the time at home.A. will work B. are working C. have worked D. work37. I _______ a terrible accident while I _______ on the beach.A. see / am walking B. saw / was walkingC. was seeing / walked D. have seen / were walking38. After all, she _______ him since her childhood.A. knows B. knew C. was knowing D. had known39. We _______ touch since we _______ school three years ago.A. lost / have left B. have lost / leave C. have lost / left D. were losing / had left40._______ John usually watch TV at the weekend?A. Will B. Is C. Does D. Has41. I _______ there once a long time ago and _______ back since.A. was / have not been B. had been / was notC. would be / had not been D. have been / will not be42. As many as ten-million children _______ with the virus by the end of this decade.A. have been infected B. will be infectingC. had been infected D. will have been infected43. What _______ when the fire alarm _______ off?A. are you doing / will go B. have you done / would goC. were you doing / went D. will you do / are going44. _______ you send this wedding card to Peter, please?A. Will B. Do C. Did D. Had45. When Peter _______, I _______ him to your new house.A. will arrive / take B. arrives / will takeC. has arrived / am taking D. had arrive / had taken46. He ______ email before, so I ______ him how to use it.A. did not use / had shown B. had not used / showedC. has not used / showed D. was not using / will show47. Doctor Pike ______ the hospital after he ______ an uneventful evening on duty. He ______ of his day of rest.A. was leaving / has had / thought B. left / had had / was thinkingC. will leave / had / will think D. is leaving / will have / thinks48. She ______ me anything about that problem so far.A. is not telling B. does not tell C. will not tell D. has not told49. I think that everything ______ ready for the project procedure by the end of next month.A. will have been B. has been C. had been D. is who is going to win the race? nine times a number Given m = - 1/4 & the point (4, 5)which of the following is the point slope form of the equation? How to evaluate this help me out so lost? A project that provides annual cash flows of $2,700 for nine years costs $8,800 today.Requirement 1:A. At a required return of 9 percent, what is the NPV of the project?B. At a required return of 28 percent, what is the NPV of the project?C. At what discount rate would you be indifferent between accepting the project and rejecting it?