Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.

Answers

Answer 1

Answer:

f(x)=39.59 (1.09)

Use the model to predict the home’s value.

After 12 years, the home’s value will be about $

111 thousand.

After 35 years, the home’s value will be about $

808 thousand.

Step-by-step explanation:

Edge 2021 :)

Answer 2

A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A general exponential equation is given as,

y = A(1+b)ˣ

Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,

38.9 = A(1+b)ˣ

A = 38.9

Therefore, the equation can now be written as,

y = 38.9(1+b)ˣ

Substitute the second point in the equation,

y = 38.9(1+b)ˣ

62.4 = 38.9(1+b)⁵

1.604113 = (1+b)⁵

1+b = 1.09912

b= 0.09

Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.

B.) Now the value of the house after 12 years,

y=38.9(1.09)ˣ

y=38.9(1.09)¹²

y = 109.41

The home’s value will be about $ 109.41 thousand.

C.) After 35 years, the home’s value will be,

y=38.9(1.09)ˣ

y=38.9(1.09)¹⁰⁰

y = 215.079.68

After 35 years, the home’s value will be about $215.079.68 thousand.

Learn more about Function:

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Related Questions

Parrots can develop cognitive issues as they get older. This may compromise their memory, ability to learn, awareness, sight, and hearing. A researcher wishes to conduct a study to find which of two medicines, Medicine A or Medicine B, is more effective in improving cognitive health. A total of 150 parrots that are at least 12 years old will be randomly selected from sanctuaries around the United States. The researcher will get consent from all owners, treat the parrots for 1 year, and evaluate changes in cognitive health. Part A: How would the study benefit from adding a control group

Answers

Answer:

Ascertain the effectiveness of the treatment

Step-by-step explanation:

A control group is usually used in experimental. Research usually to establish a higher level of assurance or confidence in one's findings. The control group may be explained as that group in an experiment which do not receive the treatment given to the other group or groups, they may also be called the placebo group. Therefore, adding a control group, the treatment groups (Medicine A and Medicine B) would be weighed against the group which does not receive either of the two medicines.

A random sample of 10 fields of corn has a mean yield of 22.5 bushels per acre and standard deviation of 5.84 bushels per acre. Determine the 99% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

The critical value that should be used in constructing the confidence interval is T = 3.25.

The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.

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 = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/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 22.5 - 6.002 = 16.498 bushels per acre

The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre

The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.

Bro
I’m lazy and I don’t wanna do it if someone can do it it would mean a lot

Answers

Answer:

Option 2.

Step-by-step explanation:

X is a number greater than the equality. Therefore the arrow will go to the bigger side. It also is not equal to the equality hence the cirle is open.

Answer:

I feel ya. It's the second one. Have a nice day.

Step-by-step explanation:

Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!

Answers

Answer: Rectangle and Parallelogram

Step-by-step explanation:

Answer:

One could be a parallelogram that does not contain an internal right angle and the other a rectangle.  

Step-by-step explanation:

what is the distance between the points (-7,3) and (4,-5)

Answers

Answer:

The distance is 185 between the points (-7,3) and (4,-5)

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]\sqrt{185}[/tex]

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Martina,Keith,and Josh have a total of $116 in their wallets. Martina has $9 less than Keith. Josh has 3 times what Keith has. How much does each have?

Answers

Answer:

keith=25,Martina=16,Joes=75

Step-by-step explanation:

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Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]

A rectangular prism with a length of 5, width of 3, and height of 1.

A rectangular prism with a length of 2, width of 2, and height of 6.

A rectangular prism with a length of 5, width of 3, and height of 2.

A rectangular prism with a length of 6, width of 2, and height of 4.

Answers

Answer:

C. when L =5, W = 3, H = 2

Step-by-step explanation:

2(wl + hl + hw)

2(15+5+3) = 46

2(4+12+12) = 56

2(15+10+6) = 62

Helpp plzz will mark brainleast

Answers

Answer:

can we see the text and part a

like you know the question is asking abt that

PLS HELP THIS IS DUE IN 10 MINUTES NUMBER 3 AND NO LINKS PLS

Answers

Answer:

A. -1/8x + 3/16

Step-by-step explanation:

-1/2(1/4x - 3/8)

Distribute the -1/2 into both the terms in the equation.

-1/2 * 1/4x = -1/8x

-1/2 * -3/8 = 3/16

Now combine both the expressions.

This makes your answer A,

[tex]-\frac{1}{8}x+\frac{3}{16}[/tex]

The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier

Answers

Answer:

0.00621

Step-by-step explanation:

We solve the above question using the

Z score formula. This is given as:

z = (x-μ)/σ/√n

where

x is the raw score = 12.20 or earlier

This means x ≤ 12.20

μ is the population mean = 13.20

σ is the population standard deviation = 2

n is the random number of samples = 25

z = 12.2 - 13.2/2/√25

z = -1/2/5

z = -1/0.4

z = -2.5

Probability value from Z-Table:

P(x≤ 12.2) = 0.0062097

Approximately = 0.00621

Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621

The multiplication rule of counting indicates that the product of the outcomes of each event gives the total number of possible outcomes for the series of all 5 events. There are 5 outcomes for the first city, 4 outcomes for second city, 3 outcomes for the third city, 2 outcomes for the fourth city, and 1 outcome for the final city.

Write the product of the outcomes.
(first city) · (second city) · (third city) · (fourth city) · (final city)

= 5 · 4 · 3 · 2

Note that factorial notation can be used here, since we have the product of consecutive decreasing counting numbers.

Recall that
n! = n(n − 1)(n − 2) 1.


Here,
n = 5
and
5! = 5 · 4 · 3 · 2

Step 3
Multiply to find the total number of possible outcomes.
5! = 5 · 4 · 3 · 2 · 1

= ?

So by the multiplication rule of counting, the sales representative has different choices for the order in which to visit the cities.

Answers

Answer:

third city

Step-by-step explanation:

eBook
Video
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate H. Use z-table.
a. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal
places.)

Answers

Answer:

Probability =0.9898

Step-by-step explanation:

Given that, mean = 4 = 300 standard deviation = 70 n = 100 PT = H = 128 oT = 0 / V n = 70/ v 100 = 7 a) within 6 = 300 ±6 = 294, 306 P(294< ī < 306) = P[(294 - 300) 7 < (ĩ -H ï) / o ĩ < (306 300) /7)] = P(-0.86 < Z < 0.86) = P(Z < 0.86) - P(Z < -0.86) Using z table, 0.8051 - 0.1949 %3D %3D %3D = 0.6102 Probability = 0.6102 a) within 18 = 300 t 18 = 294, 318 P(294< ī < 306) = P[(282 - 300) / 7< (ã -H i) / oī< (318 - 300) /7)] = P(-2.57 < Z< 2.57) = P(Z < 2.57) - P(Z < -2.57) Using z table, =0.9949 - 0.0051 =0.9898 Probability =0.9898

Hurry, geometry math 7th grade

Answers

You need to find the area of the hexagon, and the area of the triangle.

The formula for the area of a triangle is

[tex]a = \frac{bh}{2} [/tex]

I hope this helps you a little.

Answer:

93.5 units^2

Step-by-step explanation:

a^2+b^2=c^2

a=3

b=?

c=6

b=√6^2-3^2

b=3√3=5.196

5.196×3=15.5884

15.5884×6

Find the missing terms in the arithmetic sequence
15 , ____ , ____ , ____,17​

Answers

Answer:

n.m bnkjhb,nbhj

Step-by-step explanation:

a train travels 18 km in 30 minutes.Find the speed of the train in km/h

Answers

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

True or False: When using a permutation, order matters.

False

True

Answers

Permutations means a set or number of things can be arranged or ordered.
Answer: True

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 44 cards, which was 10% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?

Answers

Answer:

since 10% = 44cards and 10% is 1 of tenth of hundred then 44x10 = 440 is the numbers of card sold on the Mother's day

Which one is not a function? DONT USE THE LINK SCAM, I really need help

Answers

C is not a function

Use the given graph to determine the limit, if it exists.

Answers

It’s not on the file

give proof and show work and ill give brainliest

Answers

Answer:

84in

Step by Step Explanation:

SA = 2bh + b^2

SA = 2(6)(4) + 6^2

SA = 48 + 36

SA = 84

Find the perimeter of a quadrilateral with vertices at C (2, 4), D (1, 1), E (5, 0), and F (3, 4). Round your answer to the nearest hundredth when necessary.

Answers

9514 1404 393

Answer:

  12.76 units

Step-by-step explanation:

The distance formula is useful for finding the lengths of segments between given coordinates.

  d = √((x2 -x1)² +(y2 -y1)²)

Then the lengths of the line segments are ...

  CD = √((1-2)² +(1-4)²) = √10

  DE = √((5-1)² +(0-1)²) = √17

  EF = √((3-5)² +(4-0)²) = √20

  FC = √((2-3)² +(4-4)²) = 1

Then the perimeter is ...

  √10 +√17 +√20 +1 ≈ 12.7575 ≈ 12.76 units

__

In the attached, the length of "polyline" CDEF is shown as 11.76. The segment FC is shown separately.

What is the Effect size of 1 million children effected by divorce

Answers

Answer:

50% I think if I'm not mistaking

Using π = 3.14, what is the circumference of a circle with a diameter of 5.5 units?

Round your answer to the nearest hundredth.

Answers

Answer:

17.27

Step-by-step explanation:

so we do 5.5/2=2.75

2x3.14= 6.28

6.28x2.75=17.27

I need help with all of this

Answers

1. 286 ft
3. 289 ft

I don’t know the rest sry

In a geometric sequence, a2=2, a3=16, and a4=128.

Which equation can be used to find the nth term of the sequence, an?


an=8⋅2n−1

an=2n−1

an=14⋅8n−1

an=2⋅14n−1

Answers

Answer:

an = 1/4(8)^n-1

Step-by-step explanation:

Given the following in a geometric sequence, a2=2, a3=16, and a4=128.

nth term of a sequence = ar^n-1

a is the first term

r is the common ratio

r = a3/a2 = a4/a3

r = 16/2 = 128/16

r = 8

a2 = ar

2 = 8a

a = 2/8

a = 1/4

The nth term by substituting the parameters will be;

an = 1/4(8)^n-1

Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?​

Answers

Answer:

3^81 is bigger

Step-by-step explanation:

3^81=4.43426488e38

9^27=5.8149737e25

i’m just answering bc it won’t let me ask a question until i answer somebody but 3^81

12
Joe wants to rent a bike. The rental fee is dollars, after t hours, and is modeled by x= 5t +5.
Part A
If the rental fee for the bike Joe borrowed was $20, how many hours did he keep the bike?
2
3
4
1

Answers

Answer:

4

hours

i hope that helped

Step-by-step explanation:

Answer: 3 hours

It is correct trust me

How to slove this question​

Answers

The answer is A 101 see pic for work

Please please help please please ASAP please please help

Answers

Answer:

r = 3 cm , LA= 30π cm^2 , SA = 48π cm^2

Step-by-step explanation:

This is a bit more difficult because we have to use the inverse formula

if

V = base area x height

we can obtain

base area = V/height

base area = 45π/5 = 9π cm^2

If

base area = radius^2 π

we can obtain

radius = √base area / π

r = √9 x π/π = 3 cm

base perimeter = 3 x 2 x π = 6π cm

LA = 6π x 5 = 30π cm^2

SA = 9π x 2 + 30 π = 48π cm^2

If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?

Answers

Answer:

3 p.m

Step-Hope this helps!!

Answer:

pretty sure 3pm

Step-by-step explanation:

You just subtract 9-6

So its 3pm :)

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