Arezo borrowed $2,500 from her grandfather. This graph shows the balance remaining on Arezo’s debt after she makes each payment. Using this graph, how much will she owe after 4 payments?

Arezo Borrowed $2,500 From Her Grandfather. This Graph Shows The Balance Remaining On Arezos Debt After

Answers

Answer 1

Answer:

She will owe $500

Step-by-step explanation:


Answer 2

Answer:

She will owe $500 after 4 payments.

Step-by-step explanation:

With the help of graph

Number of payments (x)      Balance remaining(y)

         0                                         2500

         1                                          2000

         2                                         1500

Since it is linear function .

So, we will use two point slope form to find the equation for the given situation.

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]   ----A

[tex](x_1,y_1)=(0,2500)[/tex]

[tex](x_2,y_2)=(1,2000)[/tex]

Substitute the values in A

[tex]y-2500=\frac{2000-2500}{1-0}(x-0)[/tex]

[tex]y-2500=-500x[/tex]

[tex]y=-500x+2500[/tex]

Where x is the number of payments

y is the remaining payment

This equation represents the given situation.

So, to find the amount remaining after 4 payments .Substitute x =4

[tex]y=-500(4)+2500[/tex]

[tex]y=-2000+2500[/tex]

[tex]y=500[/tex]

Hence she will owe $500 after 4 payments.


Related Questions

A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the selling price by 25%. The store employees get a 50% markdown off the current price. Macy works at the store and sees the shirts going into the second markdown month. She decides that since 25% + 25% + 50% = 100%, the shirts must be free to employees. What is Macy’s error?

Answers

Answer: The pre-tax price of the shirt for Macy will be $5.63

Step-by-step explanation:

Given:

Original price = 20

reduces selling price by 25% every month it's not sold.


First markdown month:

20 * (100%-25%) = 20 * 75% = 15


Second markdown month

15 * 75% = 11.25


Macy, employee gets a 50% discount off the current price.

11.25 * 50% = 5.625

11.25 - 5.625 = 5.625 or 5.63

hope it helps! :)

Answer:

teacher's response

Step-by-step explanation:

Macy was calculating the employee price off the original amount each time instead of off the new selling price each month. Macy cannot add up all the discounts; she must apply them one by one.

The grade that a student scores on her math test is inversely proportional to the number of hours a week that she plays video games. She scores a 73.6 on a test when she plays 10 hours of video games per week. If this relationship continues at the same rate, what score can she expect on her math test if she plays video games for only 8 hours a week?

Answers

Answer:

She would make a 78.88% on a test if she played video games for only 8 hours a week.

Step-by-step explanation:

10 hours of video games=73.6% on a test.

8 hours of video games=x% on a test.

A proportion just doesn’t work out for this problem, so here’s what I did.

100-73.6=26.4

26.4 times .8 =21.12

100-21.12 equals 78.88

If you wanted to know what she would make on her test if she played video games for 6, 4, or 2 hours a week, you could do this.

78.88-73.6=5.28

There are increments of -5.28% for every 2 hours of video game play.

As you keep adding, here are the results.

6- 84.16%

4- 89.44%

2- 94.72%

0- 100%

After 18 hours of gameplay in a week, you would get 4.96% on a test, and then a 0 on not even completing the 19th hour.

What is the area of this parallelogram

20
28
30
35

Answers

ANSWER: 28

EXPLANATION:

Area is l • w or length • width. We know the width is 7 but for the length you only multiply the straight line. As 5 is slanted we use 4 instead, leaving us to multiply 7 • 4. This give us a solution of 28.

Hope that helps★
It’s 28 hoped I helped

5.5 ÷ .25 plz show work

Answers

Answer:

22

Step-by-step explanation

that is how many times .25 goes into 5.5

Question



5.5 ÷ .25 and plz show work




Answer:



22



Step-by-step explanation:



5.5 : 0.25 =



55 : 2.5 =



550 : 25 =



22


You read a headline that 1 out of 5 people in the world will log onto a social network Since there at 7 billion people in the world. How many people are logging in?

Answers

Answer:

1,400,000,000

Step-by-step explanation:

Since there are 7 billion people on the earth, you must divide 7,000,000,000 by 5 and you arrive at the answer of 1,400,000,000.

Hope that helps!

The result is that approximately 1.4 billion people are using social networks.

If 1 out of 5 people in the world are logging onto a social network, and the world population is 7 billion, we can calculate the number of people logging in by dividing the total population by 5.

So, the number of people logging in is:

[tex]\frac{\text{7 billion}}{5} = 1.4\text{ billion}[/tex]

So, approximately 1.4 billion people are logging into social networks, according to the headline.

Solve equation for a

Answers

[tex]\dfrac{3ax-n}{5}=-4\qquad\text{multiply both sides by 5}\\\\3ax-n=-20\qquad\text{add n to both sides}\\\\3ax=n-20\qquad\text{divide both sides by 3a}\neq0\\\\\boxed{x=\dfrac{n-20}{3a}}[/tex]

In the diagram, AB = AC. Solve for x. Pls I need help!

Answers

ANSWER:

x = 11

OR

x = - 5

In triangle ABC displayed in the diagram, the value of ( x ) is 11 or - 5.

STEP-BY-STEP EXPLANATION:

In triangle ABC, AB is equivalent to AC. This means that the triangle is an isosceles triangle as two sides are equivalent in length.

Since triangle ABC is an isoceles triangle, the base angles must be equivalent to each other.

( x^2 - 6x )° and 55° are both base angles of the isosceles triangle ABC.

THEREFORE:

x^2 - 6x = 55

x^2 - 6x - 55 = 0

x^2 - 11x + 5x - 55 = 0

x ( x - 11 ) + 5 ( x - 11 ) = 0

( x - 11 ) ( x + 5 ) = 0

Solution No. 1 -

x - 11 = 0

x = 11

Solution No. 2 -

x + 5 = 0

x = - 5

a student was 48 inches tall in 5th grade. now, the student measures 60 inches tall on 8th grade. what is the percent increase of the studet's height

Answers

Final answer:

The height of the student increased by 25 percent from 48 inches in 5th grade to 60 inches in 8th grade.

Explanation:

The student's height increased from 48 inches to 60 inches. To find the percent increase, we use the formula:

Percent Increase = ((New Height - Original Height) / Original Height) x 100%

Substituting the given values, we get:

Percent Increase = ((60 - 48) / 48) x 100%

Percent Increase = (12 / 48) x 100%

Percent Increase = 0.25 x 100%

Percent Increase = 25%

Therefore, the height of the student increased by 25 percent from 5th grade to 8th grade.

The student's height increased by 25% from 5th grade to 8th grade.

The percent increase in the student's height from 5th grade to 8th grade is calculated as follows:

First, determine the initial height in 5th grade, which is given as 48 inches.

Next, determine the final height in 8th grade, which is given as 60 inches.

The increase in height is the final height minus the initial height:

[tex]\[ \text{Increase in height} = \text{Final height} - \text{Initial height} \] \[ \text{Increase in height} = 60 - 48 \] \[ \text{Increase in height} = 12 \text{ inches} \][/tex]

To find the percent increase, divide the increase in height by the initial height and then multiply by 100:

[tex]\[ \text{Percent increase} = \left( \frac{\text{Increase in height}}{\text{Initial height}} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{12}{48} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{1}{4} \right) \times 100 \] \[ \text{Percent increase} = 0.25 \times 100 \] \[ \text{Percent increase} = 25\% \][/tex]

The correct option is [tex]\boxed{25\%}[/tex].

What is the ratio of a to b 9/17= 3a/ a+b

3/14
6/17
13/17
50/9

Answers

Answer:

3/14

Step-by-step explanation:

We want to find the ratio of a to b, or a/b

9/17 = 3a/ (a+b)

Multiply each side by 17

17*9/17 =17* 3a/ (a+b)

9 = 51 a/ (a+b)

Multiply each side by (a+b)

9 (a+b) = 51a

Distribute  the 9

9a +9b = 51a

Subtract 9a from each side

9a-9a +9b =51a-9a

9b = 42a

Divide each side by b

9b/b = 42a/b

9 = 42a/b

Divide each side by 42

9/42 = a/b

But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3

3/14 = a/b

Solve the system of equations.

Answers

Answer:

X=9 and Y=81

Step-by-step explanation:


For this case we have a system of two equations with two unknowns:

[tex]y = 9x\\y = 2x + 63[/tex]

Matching we have:

[tex]9x = 2x + 63[/tex]

subtracting 2x on both sides of the equation:

[tex]9x-2x = 2x-2x + 63\\7x = 63[/tex]

Dividing between 7 on both sides of the equation:

[tex]\frac {7x} {7} = \frac {63} {7}\\x = 9[/tex]

We find the value of y:

[tex]y = 9 (9)\\y = 81[/tex]

ANswer:

[tex]x = 9\\y = 81[/tex]

How do I graph y=6x+4

Answers

start on the y axis at 4 and then go up six and over 1 and continue. to go across the graph the opposite way subtract 6 and go over 1

The graph of the linear equation y = 6x + 4 is drawn below.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equation is given below:

y = 6x + 4

Convert the equation into intercept form, then we have

y = 6x + 4

6x - y = - 4

x / (-0.667) + y / 4 = 1

The graph of the equation is given below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ6

Find the slope of the line through each pair of points.

6) (-2,-1), (-1,0)
7) (-7,-4), (-13,-13)
8) (-14,-14), (-11,-9)
9) (17,-13), (-7,-13)
10) (7,4), (15,-18)
11) (4,14), (-2,17)
12) (-18,-10), (-18,15)
13) (13,-15), (14,-3)
14) (5,5), (-11,-6)
15) (3, -19), (-7,11)

Answers

Answer:

M=slope

(6) m=1

(7) m=3/2

(8)m=5/3

(9) m=0

(10) m=-11/4

(11) m=-1/2

(12) Undefined

(13)  m=12

(14) m=11/16

(15) m=-3


Hope this would HELP

Step-by-step explanation:


Which statement can be used to fill in the blank? (Pictures included)

Answers

Answer:

Look up the definition of that and then examples I’m in your class my names Joe


Step-by-step explanati


What is the sum of 5(−3.4k−7) (3k+ 21) =

Answers

Answer:

welp i got -891k - 357 but that seems really big

Step-by-step explanation:

i distributed the 5 to the -3.4k and the -7 and got -17k-35. then i foiled that out with the 3k+21 and got -51k -357 - 105k -735k. then i combined like terms and got -891k -357

hope this helps rip sorry

what is the domain of f(x) = 4^x?

Answers

Answer:

The domain are all real numbers, there are no restrictions on the value x can be the domain is the set of all real numbers.

Answer:

All real numbers.

D is the correct option.

Step-by-step explanation:

The given function is [tex]f(x)=4^x[/tex]

Domain is the set of x values for which the function is defined.

In this exponential function, no matter we take which x values, the function remains defined for all real values of x.

Therefore, the domain of the given exponential function is All real numbers.

D is the correct option.

What is the solution set of the compound inequality 8< 4 - x <10

Answers

you can solve all together or separate.

so you do

8<4-x. subtract
-4 -4

4<-x divide
-1. -1

4>x

-4>x since you divide by negative the sign flips.

4-x<10
-4. -4
-x<6
-1 -1

x>-6


8<4-x<10
-4 -4. -4 subtract 4 on all 3
4<-x<6 divide -1 to all 3
-4>x>-6 you flip sign since you divide by negative.
-

Answer:

-6 < x < -4

Step-by-step explanation:

8 < 4 - x < 10

Split this up into 2 inequalities:

4 - x > 8

-x > 8 - 4

-x > 4     Divide both sides by -1

x < -4    (Note that  sign flips when dividing by a negative).

Also 4 - x < 10

-x < 6

x >  -6


So the solution is  -6 < x < -4

For question 1-4, find the simplified form of each expression.
1. (-3)^-4 (1 point)

A. 12
B.-81
C.1/81
D.-1/81


2. (-7.4)^0 (1 point)

A.-1
B.-7.4
C.0
D.1

3. -(5)^-1 (1point)

A.-1/5
B.-5
C.5
D.1/5


4. Simplify (1 point)
-(3ab^2)^-3


Answers

Answer:

1. C

2. D

3. A

4. [tex]\frac{-1}{27a^{3}b^{6}}[/tex]

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.

An exponent is only a short cut for multiplication. It simplifies how we write the expression.When we multiply terms with the same bases, we add exponents.When we divide terms with the same bases, we subtract exponents.When we have a base to the exponent of 0, it is 1.A negative exponent creates a fraction.When we raise an exponent to an exponent, we multiply exponents.When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

1. [tex](-3)^{-4} = -3*-3*-3*-3=\frac{1}{81}[/tex] Choice C.

2. [tex](-7.4)^{0}=1[/tex] Choice D.

3.[tex]-(5)^{-1}=\frac{-1}{5}[/tex] Choice A.

4. [tex]-(3ab^{2})^{-3} =-(\frac{1}{3ab^{2}*3ab^{2}*3ab^{2}})=\frac{-1}{27a^{3}b^{6}}[/tex]

The same king cobra is 4.237 meters long. Round the length to the nearest meter.

Answers

Answer:

4 is the closest meter you can round to. So your answer would be 4

Step-by-step explanation:


Answer:

4

Step-by-step explanation:

since 2<5, 4.237 ≈ 4

evaluate: 5–^2 =
WILL MARK AS BRAINLIEST

Answers

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

For example:

[tex]x^{-2}[/tex] or [tex]\frac{x^{-2}}{1}=\frac{1}{x^2}[/tex]

[tex]\frac{1}{y^{-2}}=\frac{y^2}{1}[/tex]  or  y²



So:

[tex]5^{-2}=\frac{1}{5^2}=\frac{1}{25}[/tex]

Your answer is B

The correct evaluation of   [tex]5^{-2}[/tex]  is  [tex]\frac{1}{25}[/tex]

How to evaluate the expression?We know that [tex]a^{-b}[/tex] can be written as  [tex]\frac{1}{a^{b} }[/tex]

∴ [tex]5^{-2}[/tex] can be written as  [tex]\frac{1}{5^{2} }[/tex]

So,   [tex]5^{-2}[/tex]  = [tex]\frac{1}{25}[/tex]

Option B is correct.

Find more about "Power and base" here https://brainly.com/question/7447978

#SPJ2

Algebra 2 math problem
please help I am stuck on this.

Answers

Answer:

x=5

Step-by-step explanation:

[tex]\sqrt{3x+2} - \sqrt{2x+7} \\\\PLUG IN 5\\\\\sqrt{3*5+2} - \sqrt{2*5+7} = 0[/tex]

An image point has coordinates B'(7, -4). Find the coordinates of its pre-image if the translation used was (x + 4, y + 5).

Answers

Answer:

The coordinate of pre-image is, B(3 , -9).

Step-by-step explanation:

Given an image point has coordinate B'(7, -4).

We have to find the coordinates of its pre-image:

The rule of translation on pre-image (x, y) is given by;

[tex]B(x, y) \rightarrow B'(x + 4, y + 5)[/tex]

then;

(7, -4) = (x+4, y+5)

on comparison we have;

x+4 = 7 and y + 5 = -4

First solve for x;

[tex]x + 4 = 7[/tex]

Subtract 4 from both sides we have;

x + 4 -4 =7-4

Simplify:

x = 3

To solve for y;

y+5 = -4

Subtract 5 from both sides we get;

y = -9

Therefore, the coordinate of pre-image is, B(3, -9)

Answer:

The coordinate of pre-image is, B(3 , -9).

Step-by-step explanation:

Given an image point has coordinate B'(7, -4).

We have to find the coordinates of its pre-image:

The rule of translation on pre-image (x, y) is given by;

then;

(7, -4) = (x+4, y+5)

on comparison we have;

x+4 = 7 and y + 5 = -4

First solve for x;

Subtract 4 from both sides we have;

x + 4 -4 =7-4

Simplify:

x = 3

To solve for y;

y+5 = -4

Subtract 5 from both sides we get;

y = -9

Therefore, the coordinate of pre-image is, B(3, -9)

Read more on Brainly.com - https://brainly.com/question/11847183#readmore

Step-by-step explanation:

HELP!!! ASAP PLEASE

Answers

The answer is A. An equation is when two quantities are equal to each other, thus having an equal sign.


Crystal earns $5.50 per hour mowing lawns. Write a rule to describe the amount of money m earned is a function of the number of hours h spent mowing lawns. How does Crystal earn if she works 3 hours 45 minutes? Round to the nearest cent.

Answers

Answer: Crystal earns $18.98 working 3 hours and 45 minutes.

Step-by-step explanation: Since m is the amount of money earned and we are trying to find how much money Crystal earned in h hours, the function will be set up as m = 5.50(h). If Crystal works 3.45 hours, we can plug this number into h: m = 5.50(3.45), which gives us $18.975. Rounded to the nearest cent, the answer would be $18.98 because 5 rounds 7 up.


Harvey the wonder hamster can run 3 1/6 km in 1/4 hour harvey runs at a constant rate what is his average speed in kilometers per hour

Answers



1/4 times 4 is 1 hour so
3 1/6 times 4 is 12 2/3

-46 times a number minus 19 is equal to 86 less the number

Answers

Answer:

-46 * x - 19 = -86

Step-by-step explanation:

this a word problem!

lets break it down

-46 times a number

this will be -46 * x

minus 19 is equal to 86 less the number

-46 * x - 19 = -86

Final answer:

To solve the equation "-46 times a number minus 19 is equal to 86 less the number", we can simplify the equation by combining like terms and isolating x. The solution is x = -105/45 or approximately -2.33.

Explanation:

To solve the equation -46 times a number minus 19 is equal to 86 less the number, we can first simplify the equation. Let's call the number x. So, -46x - 19 = 86 - x. We can solve for x by combining like terms and isolating x on one side of the equation. Adding x to both sides gives -45x - 19 = 86. Then, adding 19 to both sides gives -45x = 105. Finally, dividing both sides by -45 gives x = -105/45, which simplifies to x = -7/3 or approximately -2.33.

Learn more about solving equations here:

https://brainly.com/question/29050831

#SPJ3

Wyatt is training for a race. He will run 3 4 of a mile a day for 8 days. How far will Wyatt run altogether?


FAST!!!!!!!!!! PLZ im timed

Answers

Hello!


3         8             24            6

-    x     -    =        _     =       -     OR 6

4          1              4              1


Answer: 6 OR 6/1


Hope this helps!  ~Pooch ♥

Answer:

6 miles.

Step-by-step explanation:

I believe your trying to say 3/4

3/4 x 8

3/4 x 8/1

24/4 = 6

What are the real and imaginary parts of the complex number? 9+7i

Answers

An i is an imaginary value.  So 7i is the imaginary part and 9 is the real part.


Hope this helps!!


Complex number is the number which is the combination of the real numbers and imaginary number. For the given complex number the real part is 9 and the imaginary part is 7.

Given information-

The complex number given in the problem is,

[tex]9+7i[/tex]

What is complex number?

Complex number is the number which is the combination of the real numbers and imaginary number.

The complex number written in the form of,

[tex]a+bi[/tex]

Here [tex]a[/tex], [tex]b[/tex] are the real number and [tex]i[/tex] is the imaginary number called iota.

The value of the iota [tex]i[/tex] is,

[tex]i=\sqrt{-1}[/tex]

The complex number is made of two parts, the real part is [tex]a[/tex] and the imaginary part is [tex]b[/tex] for the above example.

Compare the given complex number with above complex number to find out the real and imaginary part of the complex number.

[tex]9+7i[/tex]

Here [tex]a[/tex] is 9 and [tex]b[/tex] is 7. Thus for the given complex number the real part is 9 and the imaginary part is 7.

Learn more about the real and imaginary parts of the complex number here;

https://brainly.com/question/13389642

what is the r^2 value of the following data to three decimal places???

Answers

Answer:

0.783

Step-by-step explanation:

To find first r and then r square for the data

correlation coefficient of x and y = Cov (x,y)/std dev x * std dev Y

Cov (x,y) = E(xy) -E(x)E(y)

Hence calculations would be as follows:

x y xy

 

1 2 2

2 10 20

5 5 25

7 18 126

10 25 250

 

Mean 5 12 84.6

 

Cov E(xy)-E(x)E(y)  24.6

r 0.884640297

r^2 0.782588454

so answre is 0.783 after rounding off.

Susie has $15.66 to spend on lunch for herself and her friend. If she spends an equal amount on each person. How much will susie spend on each of them?

Answers

Answer:

7.83

Step-by-step explanation:

Susie will spend $7.83 on each person

Susie has a total amount of $15.66 to spend on lunch for both her and her friend

She wants to spend an equal amount on both her and her friend

Hence, since she wants to spend equal amount on herself and her friend it can be calculated as follows

= 15.66/2

= 7.83

Hence Susie will spend $7.83 on herself and friend

Please see the link below for more information

https://brainly.com/question/18771210?referrer=searchResults

1.) you have a credit card with an initial balance of $3,168 and an interest rate of 12.75 % APR if you make no payments on the car for 3 months how much is your balance by the end of the third month?
A.) $3,571.92
B.) $3,270.06
C.) $3,201.66
D.) $3,860.43

2.) your gross pay is $2,759 your involuntary deductions are FICA 7.65 percent Federal withholding 12% and state withholding 7% how much are you allowed for housing and fixed expenses?
A.) $772.52
B.) $993.24
C.) $728.54
D.) $566.64

3.) You are paid $8.25/hour. You work 35 hours/week for 3 weeks. Your involuntary deductions are FICA (7.65%), federal withholding (13%), and state withholding (9%). How much is your realized income?
A 203.13
B 866.25
C 288.75
D 609.39

Answers

Answer:

1.) [B]

2.) [C]

(3.) [D]                            

Step-by-step explanation:

1.) Initial amount = $3168

Annual percentage rate = 12.75

per month percentage rate = 1.06%

Interest after 3 months =  P*R*T/100

                                      = 3168*1.06*3/100

                                      = 100.74 (aprox)

Balance after 3 months = 3168-100.74

                                        = $3270.06 (aprox) (B.)

2.) Gross pay = $2759

Total interest rate = 7.65%+12%+7% =  26.65%

interest amount= 26.65% *2759 =$728.24 (aprox)

Housing and fixing expenses= $728.54  (C.)

3.) 1 hour = $8.25

1 week= 35 hours

3 weeks = 35*3 hours = 105 hours

Total income= 105 hours = $8.25*105= $866.25

Total interest to be deducted = 7.65+13+9 = 29.65 %

Income after deducting interest =  $866.25-256.843 = $609.407

(D.)



The answers are:

1) C - $728.54

2) D - $609.39

3) B - $3,270.06

Other Questions
Which statement about the Supreme Court is true ?a. It is the only court that rules on constitutional questions.b. It issues decisions that cannot be appealed.c. It hears most of the appeals from district courts.d. It hears only cases that are under its original jurisdiction. plz help 20 points!!! The length of the Titanic was 882 feet. Porter's history class is building a model of the Titanic. The model is 1/100(fraction) of the actual length of the ship. How long is the model? A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"Let c represent the number of children.Which expression represents the number of parents?A.) 9cB.) c9C.) c + 9D.) c9 Elizabeth and connie are in charge of balloons. They have 27 blue balloons and 63 yellow balloons. What is the greatest number of groups they can put together and use all the balloons Whats an accurate description of a serfs life PLEASE HELPPPPP1. What evidence supports that SOPA was not a reasonable way of combating Internet piracy? Some of the sentences are incorrect.Write only sentences that you have corrected:1 A supervisor is a person who is in charge of a team.2 Shes the person who she deals with the public.3 A rewarding job is one which you enjoy.4 Thats the lowest salary where you can earn here.5 A factory is a place where cars are made there.6 Shes the flight attendant who husband is a pilot. how and when did the earth form? 20% of the tickets sold at a water park were adult tickets. If the park sold 55 tickets in all,how many did it sell? Can you explain all these quotes for me ??plz .9Quotes From Michelle Obama's "becoming" book2Your story is what you have, what you will always have. It is something to own.3Ive been lucky enough now in my life to meet all sorts of extraordinary and accomplished people. What Ive learned is this: All of them have had doubters. 4There are simply other ways of being.5This may be the fundamental problem with caring a lot about what others think: It can put you on the established path.6It was one thing to get yourself out of a stuck place, I realized. It was another thing entirely to try and get the place itself unstuck.7I now tried out a new hypothesis: It was possible that I was more in charge of my happiness than I was allowing myself to be.8My job, I realized, was to be myself, to speak as myself. And so I did.9"Even if we didnt end up winning, we were making progress that mattered.10If theres one thing Ive learned in life, its the power of using your voice. what is the horizontal asymptote of f(x)= 3 / x-2 Calcium oxide has a gaint ionic lattice in which there are strong electrostatic Diagonal AC divides the trapezoid ABCD (with bases AD and BC , AD>BC) into two similar triangles, ABC and DCA. Find AC if BC=4 cm and AD=9 cm. Which transformation maps the strip pattern onto itself pdpd solve the system of linear equations -x=-6y+19 4=-4x-12y I NEED HELP someone plz help meh what is the median of this data set Imagine you are on a committee studying whether or not to make changes to the electoral college system. What would you recommend? In a well written paragraph explain your position with at least three reasons. What is 19.51 2? And also explain how you found the answer please. Thank YOU! Titians influence on other painters was largely a result of his use of Steam Workshop Downloader