Mary deposits $550 in a savings account at 3% simple annual interest. The value of this account, v, is given by the function v = 550 + 16.5t, in which t is the number of years the money is in the bank. What is the domain & range of this function?

Answers

Answer 1

Answer: [tex]Domain = \{t: t\geq 0\}=[0,\infty)[/tex] and [tex]Range = \{v: v\geq 550\}=[550,\infty)[/tex].

Step-by-step explanation:

It is given that, the value of this account, v, is given by the function

[tex]v=550+16.5t[/tex]

where, t is the number of years the money is in the bank.

We need to find the domain & range of this function.

Domain is the set of input values. Here, the domain is number of years which cannot be negative. So,

[tex]Domain = \{t: t\geq 0\}=[0,\infty)[/tex]

Range is the set of output values. Here, the range is amount after simple interest which cannot be less than the principal value.

[tex]Range = \{v: v\geq 550\}=[550,\infty)[/tex]


Related Questions

i need help with this problem​

Answers

Answer:

= 192

Step-by-step explanation:

a²b²c² = 2²3²4² = (2×2)(3×2)(4×2) = (4)(6)(8) = (24)(8) = (192) = | 192 | = 192

Answer: IT IS 576

Explanation:

So, if a=2 then, 2 to the second power (squared) is 4. b(3) to the second power(squared) is 9. c (4)to the second power(squared) is 16.

One way you can remember it is if you do 1 times 1, 2 times 2, 3 times 3, and so on.

So between the answers of:

24

192

576

It would be 576

(2^2)(3^3)(4^2)=

(4)(9)(16)=

576

The sum of 3 consecutive odd integers is 33. Find the integers (n).​

Answers

The integer(n) in the odd integers is 9.

How to find variables in equation?

The sum of 3 consecutive odd integers is 33.

Odd integers are defined as any integers which cannot be divided by two. Therefore, odd integers includes 1, 3, 5, 7, 9, 11, 13 etc

Therefore, the integers can be found as follows:

let

n = first odd integer

n + n + 2 + n + 4 = 33

combine like terms

n + n + n + 2 + 4  = 33

3n + 6 = 33

subtract 6 from both sides of the equation

3n + 6 - 6 = 33 - 6

3n = 27

divide both sides by 3

n = 27 / 3

Therefore,

n = 9

learn more on odd integers here: https://brainly.com/question/18365251

#SPJ1

are 1/3 and 3/9 equivalent? explain your answer.

Answers

Yes it’s true 1/3 is equal to 3/9

At thanksgiving, Mrs.jones overcooked the turkey so all but 4/5 of it had to be thrown away. The 8people at the dinner that night each received and equal share of the remaining turkey. To determine the amount of the turkey that each person would receive, mrs.jones wrote the expression 4/5 divided by 8. Which expression is equivalent to mrs.jones expression!?
A. 8/10 divided by 8
B. 8/5 divided by 4
C.5/4 times 8
D.4/5 times 8

Answers

Answer:

A. 8/10 divided by 8

Step-by-step explanation:

We just got it right on my son's quiz but we figured it out by:

Multiplying both the numerator and denominator by 2.

For #1-8, solve the equation for the indicated variable:
Solve for x:
1.

3x + 2 = 8

Answers

Steps to solve:

3x + 2 = 8

~Subtract 2 to both sides

3x = 6

~Divide 3 to both sides

x = 2

Best of Luck!

Yesterday the temperature at noon was 15.1°F. By midnight, it had dropped by
24.2°F. What was the temperature at midnight?

Answers

Answer:

-9.1 degrees at midnight

Step-by-step explanation:

15.1 - 24.2 = -9.1 degrees

How do I solve it ? I don’t understand

Answers

Answer:

1) 3 Points Include: E, B and F. To explain in Detail. Point E, which is (-1,1) Point B, which is (0,-2) and Point F, which is (2,3) The Directions tell you to name 3 Points on the image. The points I just explained are all on the graph, so they are all points in the Image.

Two Lines are: Lines CD and Lines AB. These are both lines on the images. The points A and B are connected with a line, so they are a line on the graph. The Points C and D are also connected by a line, therefore, both lines CD and AB are lines on the image.

A Line Segment: A line segment is a line connected with two end points, You can say a line is a segment when both ends of the line have a dot, also known as a point. One line segment in this image is Line EB, both the points are connected by a line, and both sides of the line have a point.

The Plane: The plane is the entire surface that everything is on. The plane has all the lines, segments, and points. All planes extend infinitely far. We can see, the plane is "O". The letter O is located towards the middle of the graph, Therefore, the Plane is "O"

2)One Point: On the Plane, one point is point S. Q and R are also points, but the question only asks for one point.

The Line: There is only one line on the plane, this line is line QR. Both points Q and R are connected by a line.

The Plane: The Plane is "T" in the bottom left of the image, in the corner of the plane (the plane is the blue area) you can see the letter T. "T" is the plane.

Does the line go through the Plane? Yes. The line does go through the plane. Here's why: On the line QR, both sides of the line have arrows. If a line has arrows that means the line goes on forever in the direction the arrow is pointing. If a line has two dots, its a segment, which means the lines end at the points, they do not go on forever. In this case, the line goes on forever and it goes through the blue area, which is the plane.                      

valor absoluto de -10 =
valor absoluto de 7 =
valor absoluto de -39 =
valor absoluto de 52 =
valor absoluto de 325 =
valor absoluto de -125 =
valor absoluto de -33 =
valor absoluto de 1,232 =
valor absoluto de -11,526 =
valor absoluto de -20,205 =​

Answers

10
7
39
52
325
125
33
1232
11525
20205

Bien!

A candle burns at a rate of 3/8 inches per hour. If a candle is 6 inches tall, what will be the remaining height of the candle after 4 hours?

Answers

This can be made into
6-3/8x
Where x is the amount of hours
So if it’s 4 hours we do
6-3/8(4)
3/8*4 is 1.5
So we get
6-1.5
Which is
4.5 inches remaining
about 4.5 inches will be remaining.

1s22s22px22py22pz23s23px23py23pz2

Answers

Given :

Electronic configuration of an electron :

[tex]1s^2\ 2s^2\ 2p_x^2\ 2p_y^2\ 2p_z^2\ 3s^2 \ 3p_x^2\ 3p_y^2\ 3p_z^2[/tex] .

To Find :

The element having such an electronic configuration .

Solution :

We know , the sum of all the power of s and p in all the orbit gives total number of atoms in elements .

So , atomic number is :

[tex]Z=2+2+(2+2+2)+2+(2+2+2)\\\\Z=18[/tex]

Since , the atomic number is 18 .

Therefore , the element is Argon .

Hence , this is the required solution .

Salesman Randy gets a fixed salary of $2000 per month and a commission of 2% on sale. If total sale is $30,000 for the month, find his total salary for the month?

Answers

Answer:

$2600

Step-by-step explanation:

If his monthly salary is $2000 and 2% commission.

He made $30,000 in sales for the month so lets make an equation.

s = total salary

s = $2,000 + .02($30,000)

s = $2,000 + $600

s = $2600

Randy's salary for the month is $2600.

Geometry
B.5 Additive property of length 7RA
You have prizes to reveal! Go to your game board. X
If EF = 2x, FG = 8, and EG = 4x, what is ER?
E
F
G
2x
4x
Simplify your answer and write it as a proper fraction, mixed number, or integer.
Submit

Answers

Answer:

EF = 8

Step-by-step explanation:

The following data were obtained from the question:

EF = 2x

FG = 8

EG = 4x

EF =?

To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:

EG = EF + FG

EF = 2x

FG = 8

EG = 4x

4x = 2x + 8

Collect like terms

4x – 2x = 8

2x = 8

Divide both side by 2

x = 8/2

x = 4

Therefore, the value of x is 4.

Finally, we shall determine the the value of EF as follow:

EF = 2x

x = 4

EF = 2x

EF = 2(4)

EF = 8

**** Check ****

EG = EF + FG

EF = 2x

EG = 4x

FG = 8

4x = 2x + 8

x = 4

4(4) = 2(4) + 8

16 = 8 + 8

16 = 16

A plane flew north for 1,000 kilometers in 10 hours. What was the plane's speed?

Answers

Answer:

62.1371

Step-by-step explanation:

speed=distance/time

Answer:

1000/10 = 100 km/hr

Step-by-step explanation:

HELP PLEASE!!!
The first term in the sequence is 4, and each other term is three more than twice the previous term.

Answers

Answer:

Your equation would be 4x2+3 So it would be 11

Step-by-step explanation:

is 5.39 irrational or rational

Answers

5.39 is an rational number

Answer:

Rational

Step-by-step explanation:

It is a rational number because it can be written as a fraction.[tex]5.39=5\frac{39}{100} =\frac{539}{100}[/tex]

3/12 and 5/x are equivalent ratios. solve for x

Answers

Answer:

x=20

Step-by-step explanation:

How I did it was I divided 3/12 to get .25 and 5 divided by .25 is 20. So x is equal to 20.

Geometry ∠1 and ∠2 are vertical angles. If m∠1 = 17x + 1 and m∠2 = 20x – 14, find m∠2.

Answers

Answer:

m∠2= 86

Step-by-step explanation:

since they are vertical angles, that means they are both equal to eachother.

so lets set them equal!

17x+1=20x-14

17x+15=20x

15=3x

x=5

now input x into m∠2

m∠2 = 20(5) – 14 = 86

A certain plant grows 1 and 2/5 inches every week. How long will it take the plant to grow 5 and 1/5 ​inches?

Answers

Answer:

About 4 weeks.

Step-by-step explanation: Because:  

5 1/5 divided by 1 /25 equals 3.71428571429. And that rounded down is 4.

The table shows the hourly wages (in dollars) of employees after they have worked at a company for 2 years. Use the linear regression feature on a
graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest hundredth. Then use your
equation to estimate the hourly wage of an employee who has worked at the company for 15 years.
Years, 2 Hourly wage (dollars per hour), y
1
$8.67
5
$10.50
3
$9.58
7
$11.41
The line of best fit is y=
The approximate hourly wage of a person who has worked at the company for 15 years is $
per hour

Answers

Answer:

y= 0.5x + 8.2

$13.6 per hour

Step-by-step explanation:

(Is it weird that I had the same exact question? Maybe not. But I also found another person with the same question as me. It was a different question though. This is probably too late. But I'm just gonna try to answer it for anyone who needs it.

"Linear regression" is just a fancy word for scatter plots. Scatter plots take place in graphs. The dots or plots are scattered and the way they are scattered means something. If it's going down, it's negative, up it's positive, and if it's scattered, it has no corrolation.

Also, you should have learned this in 9th grade. So, check your notes.

If you don't have it, WRITE IT!!!

To find it in your calculator:

1. Go to "Lists and Spreadsheets"

2. Rename the first column "x" and the second on "y"

3. Write all of your numbers in the right column

1, 5, 3, 7 under the "x"8.67, 10.50, 9.58, 11.41 under the "y"

4. Move your cursor to an empty cell

4. Click: "MENU" #4 #1 #3

5. Rename the correct rows "x" and "y" and press enter

6. Now you can find "m" and "b"

7. Then move your cursor to an empty cell and click "doc" "insert" #7

8. Find the x-axis and find "x"

9. Find the y-axis and find "y"

10. Now press "MENU" #4 #6 #1

And you found your y=mx+b: y=0.5x+8.2

Now, how much money per hour.

So you've found your m and b but now you have to:

1. Replace y with 15 and solve it

15=0.5x+8.2-8.2       -8.26.8=0.5xDivide 0.5 on both sides6.8/0.5=13.613.6=x

$13.6 per hour

One coin is randomly selected from a jar containing 70 nickels, 100 dimes, 80 quarters, and 50 one-dollar coins. P(value greater than $0.10)

Answers

Answer:

This possability is 100/300 or 1/3 chance

Step-by-step explanation:

what is the solution to this equation?
-30 > 6(1 – 4p) +7(4+8p)​

Answers

Answer:

p < -2 that's is the solution

Hi the correct answer is p<-2 I really hope this helped.sorry I can’t show the rest of the line it won’t work for some reason.

Mrs. Brown can buy student movie tickets for $8 and adult tickets for $15.
Write and expression to represent the total cost (c)of tickets. Let s represent each student ticket
and a represent adult tickets.

Answers

The answer is 15c + 8 + s

10{3[25 - 6122 -19) +11]}
Can someone show me the work on how they got this?

Answers

Answer:

Step-by-step explanation:

25-6122-19= -6116*3= -18348+11= -18337*10= -183370

Solve for x.
7(3 - x) = 8(4 - 2x)

Answers

Answer:

exact form x=11/9

decimal form x=1.2

mixed number form 1 2/9

Step-by-step explanation:

Santa has 75 toys left in his sleigh. If the house has 5 kids, how many toys can he
leave?

Answers

Answer:

Santa can leave 15 toys at their house.

Step-by-step explanation:

Answer:

He can leave 15

Step-by-step explanation

He would leave 15 because all you have to do is do 75 divided by 5 and then you would get your awnser

Hope it helped.

Find the distance between the points: (-8,-2) and (6,-1)

Answers

Answer:

AB=

[tex] \sqrt{197} [/tex]

plz mark as brainliest

9(2x - 3) + 5x + 17

please help I’m struggling

Answers

Answer:

23x-10

Step-by-step explanation:

Step 1- Distribute into the variable

(9)2x-3(9)+5x+17

Step 2- Collect like terms.

18x-27+5x+17

23x-10

0.0215 has ____ significant figures

Answers

Answer:

has 3 significant figures

Step-by-step explanation:

because zeros are counted if they are between the numbers

3.

When counting significant figures, ignore the 0s that show up before a number more than 0.

If, for example, a number is 0.03067, then there are 4 significant figures, because the first two 0s are ignored but the 0 after 3 is counted!

Sorry if my explanation is difficult to comprehend haha. Please do ask if you’re still unsure

The midpoint of AB is M(-3, -3). If the coordinates of A are (-5, -1), what are
the coordinates of B?
Help?

Answers

Answer:

60

Step-by-step explanation:

Answer:

(-1,-5)

Step-by-step explanation:

р – (4р – 8) = 7(p — 2)

Answers

Answer:

Step-by-step explanation:

p - 4p + 8 = 7p - 14

-3p + 8 = 7p - 14

-10p + 8 = -14

-10p = -22

p = 22/10

p = 2.2

Other Questions
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