Jill invest $400 in a savings bond. The value of the bond V(x) in hundreds of dollars after x years is illustrated in the table below. Which equation and statement illustrate the approximate value of the bond in hundreds of dollars over time in years?

Answers

Answer 1

Answer:

V(x) = 4(1.35)x, and it grows.

Step-by-step explanation:

Jill Invest $400 In A Savings Bond. The Value Of The Bond V(x) In Hundreds Of Dollars After X Years Is
Answer 2

The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:

"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the given data points to approximate the relationship between the value of the bond and time by fitting a curve that best fits the points.

Based on the given data,

It seems that the value of the bond is increasing at an accelerating rate over time.

We can try to approximate this relationship by fitting a quadratic equation to the data.

Let's assume that the relationship between the value of the bond and time can be approximated by the quadratic equation:

V(x) = ax² + bx + c

where V(x) is the value of the bond in hundreds of dollars after x years, and a, b, and c are constants to be determined.

To solve for a, b, and c, we can use the three data points for which we have values of V(x):

V(0) = 4, V(1) = 5.4, V(2) = 7.29

Substituting these values into the equation.

a(0)² + b(0) + c = 4

a(1)² + b(1) + c = 5.4

a(2)² + b(2) + c = 7.29

Simplifying.

c = 4

a + b + c = 5.4

4a + 2b + c = 7.29

Substituting c = 4.

a + b = 1.4

4a + 2b = 3.29

Solving for a and b.

a = 0.725

b = 0.675

Now,

The equation that approximates the relationship between the value of the bond and time is:

V(x) = 0.725x² + 0.675x + 4

This equation tells us that the value of the bond is increasing at an accelerating rate over time, starting at $400 (or 4 hundred dollars) and increasing by approximately 0.725 hundred dollars for each year squared, plus 0.675 hundred dollars for each year, plus a constant 4 hundred dollars. For example, after 5 years, the value of the bond would be approximately:

V(5) = 0.725(5)² + 0.675(5) + 4 = 23.75

Therefore,

The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:

"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.

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Jill Invest $400 In A Savings Bond. The Value Of The Bond V(x) In Hundreds Of Dollars After X Years Is

Related Questions

ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST


help pls asap

Answers

Answer:

m<K, m<J, m<I

Step-by-step explanation:

The size of angles and sides correspond. The larger the side, the larger the angle must be. So, this means the largest angle will be directly across from the longest side. Since <K is across from the smallest side, it is the smallest angle. Additionally, <I is across from the longest side so it is the largest.

The average natural gas bill for a random sample of 21 homes in the 19808 zip code during the month of February was $311.90 with a sample standard deviation of $51.60. Based on the sample, construct a 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February.

Answers

Answer:

The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 21 - 1 = 20

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7247

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7247\frac{51.60}{\sqrt{21}} = 19.42[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 311.9 - 19.42 = $292.48

The upper end of the interval is the sample mean added to M. So it is 311.9 + 19.42 = $331.32

The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32

Need help on em punett sqaures

Answers

Answer:

Black Fur: 100%    White Fur: 0%

Step-by-step explanation:

    B     B

b  Bb  Bb              (all dominant)

b  Bb  Bb

Black Fur: 100%  White Fur: 0%

Answer:

B B

______

b | Bb | Bb |

b | Bb | Bb |

_____

Phenotype Probability (%):

Black Fur: 100%

White Fur: 0%

_____________________

Can someone help me? A: How long did it take Diane to complete her route on Thursday if, on average, it took her 46 minutes?

Answers

Answer: B.) 43

I just did it on usatestprep and I got 43

Step-by-step explanation:

The solution is Option B.

The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the data be represented as M = 46 minutes

The time it took for Diane to complete her route on Thursday be T

Now , the total time for all the 7 days be represented as S

And , the value of S is

S = 58 + 39 + 42 + 46 + T + 49 + 45

S = 279 + T

Substituting the values in the equation , we get

Mean = Sum of Values / Number of Values

46 = ( 279 + T ) / 7

Multiply by 7 on both sides of the equation , we get

322 = 279 + T

Subtracting 279 on both sides of the equation , we get

T = 322 - 279

T = 43 minutes

Hence , the value of T is 43 minutes

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Simone asked her classmates, "How many days do you floss your teeth in a
typical week?" The table shows Simone's data.
Days of Flossing per Week
6
3
1
4
3
3
5
6
6
7
7
6
5
3
2.
4
0
4.
5
7
1
2
6
7
How many observations did she record?

Answers

Answer:

24

Step-by-step explanation:

Count the amount of answers she got.

Find the Volume of the prism. All sides of a square box is 7/10 in.

Answers

Answer:

yyyuu,gsfehwgegrbarhqhyekejtwhhtthtanafgegrajtsjttjrhrhrjarhahrhehrhrrnrjehehehehthsqrsjsyksthggejejsgrh,,kerhatstnwtkekehaahwjjyykjm.hteerylektkh#h#h#jrj

Calculate the volume of the figure.
2 cm
3 cm
F
|
-
-
-
3 cm
3 cm
O 15 cm
33 cm
O 45 cm
O 54 cm
What is the value of x, if the volume of the sone i

Answers

Answer:

33 cm

Step-by-step explanation:

volume of the under the pyramid Is 3×3×3=27

volume of pyramid is 3×3×2=18

divide 18 ÷3 =6

27+6=33

the reason why we divide by 3 because ti's is the formula

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

A die and a coin are tossed together . Probability of getting a head on the coin is

Answers

what? im very confused...i honestly dont know

Please solve the question with steps.

Answers

9514 1404 393

Answer:

  c.  x + 6

Step-by-step explanation:

The factorization is ...

  x(x -3)(x -6)

The factor on the list that is not part of the above expression is (x +6).

_____

More detail

Factoring x from each term gives ...

  x(x^2 -9x +18)

Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).

  = x(x -3)(x -6)

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer:

66 sq.yd

Step-by-step explanation:

Given,

Base of the parallelogram = 11 yd

Height of the parallelogram = 6 yd

Therefore,

Area of the parallelogram = base × height

= 11 yd × 6 yd

[tex] = 66 {yd}^{2} [/tex]

Hence,

Area of the parallelogram is 66 sq. yd

Click this link to view O*NET’s Work Activities section for Human Resources Managers. Note that common activities are listed toward the top, and less common activities are listed toward the bottom. According to O*NET, what are some common work activities performed by Human Resources Managers? Check all that apply.

resolving conflicts and negotiating with others
operating vehicles, mechanized devices, or equipment
handling and moving objects
establishing and maintaining interpersonal relationships
inspecting equipment, structures, or material
communicating with supervisors, peers, or subordinates a

Answers

Answer:

resolving conflicts and negotiating with others

establishing and maintaining interpersonal relationships

communicating with supervisors, peers, or subordinates

or a,d,f

Step-by-step explanation:

CAN U PLZ ANSWER THIS ITS FOR A TEST

Answers

Answer:

A. 300in^2

Step-by-step explanation:

Area=LWH

15*10*2=300

Ella is solving the equation (x+5)2=0 . She writes that the solutions are x=5and−5 .

Anne looks at her work and disagrees. She says that only x=−5 is a solution. Who do you agree with? Explain your reasoning.

Answers

Answer:

Anne

Step-by-step explanation:

Let's solve it by replacing x by 5, then -5.

(5+5)2=0

10*2=0

20=0

(-5+5)2=0

-5 and 5 cancel each other out, and 0 times anything is 0.

0=0

So Anne is correct.

--

hope it helps

Question 9 of 10
Thurston deposited $8400 into a savings account that earns 2.5% simple
interest each year calculated annually. What is the future value of Thurston's
account after 14 years?
A. $2940
B. $19,740
C. $11,340
D. $8610
SUBMIT

Answers

Answer:$11,340

Step-by-step explanation:

If Thurston deposited $8400 into a savings account that earns 2.5% simple

interest each year calculated annually. What is the future value of Thurston's  account after 14 years will be is C. $11,340

Using this formula

Future value=Principal+[(Principal ×Rate ×Time)÷100]

Where:

Principal=$8,400

Rate=2.5%

Time=14 years

Let plug in the formula

Future valve=$8,400+[($8,400×2.5%×14)÷100]

Future valve=$8,400+($294,000÷100)

Future valve=$8,400+$2,940

Future valve=$11,340

Inconclusion if Thurston deposited $8400 into a savings account that earns 2.5% simple  interest each year calculated annually. What is the future value of Thurston's  account after 14 years will be is C. $11,340

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What is the difference of the two expressions shown below (3/4X+2)-(1/4x+5). Explain why

A. 1/2x + 7

B. x + 7

C. 1/4X - 3

D.1/2x - 3

Answers

Answer:

D. 1/2x - 3

Step-by-step explanation:

(3/4x + 2) - (1/4x + 5) =3/4x - 1/4x + 2 - 5 = 2/4x - 3 = 1/2x - 3

Correct choice is D

You can get 6 tickets for $39 at the local movie theater. How much is each ticket? ​

Answers

Answer:

$6.50

Step-by-step explanation:

39 / 6 = 6.5

Answer:

$6.50

Step-by-step explanation:

Hi,

To get the cost per ticket, all you have to do is divide 39 by 6. When you do that you get, 6.5 which means each ticket costs $6.50.

I hope that helps :)

what is the cube root of -0.216?

Answers

Answer:

-0.6

Step-by-step explanation:

Halle el perimetro de las siguientes figuras. ​

Answers

English please ?I can’t understand

the three cubes shown weigh 12 ounces how many pounds would 24 cubes weigh A. 4.5 lb B. 6lb C. 18lb D. 72lb

Answers

The 24 cubes would weigh exactly 6 pounds.

Help with this question, please

Answers

Answer:

I'm pretty sure 32 but I could be wrong

Step-by-step explanation:

I'm sorry if it's wrong

Simplify 15 – 3(6 – 4)

Answers

Answer:

9

Step-by-step explanation:

15-3(6 -4)

=15-3(2)

=15-6

=9

Therefore 9 is the answer

Answer:

9

Step-by-step explanation:

Please answer ASAP. Do not mind the purple thing.

Answers

Answer:

1 4

2 8

3 12

6 24

for next year, its 32

Step-by-step explanation:

cauz 8 divided by 2 is 4

Also since it goes up by four, 3 is 12 and 6 is 24

cker
Examine the following equation.
2x² – 5x – 7 = 0
Which expression can be used to find the solutions to the equation?
0 5+787
4
-5+781
4
0 -53731
4
5:31
4

Answers

The expression which can be used to find the solutions of the given equation is option (a) [5 ± √81] / 4.

What are Quadratic Equations?

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

The given quadratic equation is,

2x² - 5x - 7 = 0

The solutions of a quadratic equation can be found using the quadratic formula.

Quadratic formula for ax² + b x + c = 0 is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a, where [tex]\sqrt{b^2-4ac}[/tex] is called discriminant.

From the given equation,

a = 2, b = -5 and c = -7.

Solution can be found as,

x = -(-5) ± [tex]\sqrt{(-5)^2-(4*2*-7)}[/tex] ] / (2 × 2)

  = [5 ± √(25 + 56) ] / 4

  = [5 ± √81] / 4

Hence the solution can be found as [5 ± √81] / 4.

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Using complete sentences, explain the key features of the graph of the cosine function. (10 points)

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Find the future value and interest eared if $8906.54 is invested for 8 years at 5% compounded semiannually

Answers

Answer:

ummm yes 19293

Step-by-step explanation:

Anyone can help me with questions

Answers

Answer:

3x+18+4x+15=180

7x+33=180

7x=147

x=21

Max used a base ten blocks to solve the division problem 9.15 divided by 3.
Which set of blocks shows the quotient for 9.15 divided by3?
A. 3 Ones,5 Tenths,0 Hundredths
B. 5 ones, 0 tenths, 3 hundredths
C. 0 ones, 3 tenths, hundredths
D 3 ones, 0 tenths, 5 hundredths

Answers

Answer:

D 3 ones, 0 tenths, 5 hundredths

Step-by-step explanation:

9.15 divided by 3.

915/3 = 305

Then, moving the decimal point two units to the left, we have 3.05.

The last number before the decimal point is called ones, which means that we have 3 ones.

The first number after the decimal point is called tenths, which means that we have 0 tenths.

The second number after the decimal point is called hundredths, which means that we have 5 hundredths.

The correct answer is given by option D.

How many digits are in 385,604 ?

Answers

6 llllllllllllllllllll

Answer:

6

Step-by-step explanation:

because 385,604 there is 6 digits

ten vegetable selections available, how many 3 vegetable plates can be made

Answers

10x9x8=270 plates can made

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Given:

A figure of a triangle, AD = 6 and DB = 2.

To find:

The length of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In triangle ACD,

[tex]\cos A =\dfrac{AD}{AC}[/tex]

[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]

[tex]\sqrt{3}\times AC=6\times 2[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]AC=4\sqrt{3}[/tex]

Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.

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