In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to $148,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010?

Answers

Answer 1

Answer:

The step by step explanation isn't your problem but it is a way to see how to do your problem

Step-by-step explanation:

This is an exponential growth equation, therefore, it follow the standard form:

where y is the value of the house after a certain number of years,

a is the initial value of the house,

b is the growth rate, and

x is the year number.

We are going to make this easy on ourselves and call year 1985 year 0. Therefore, is year 1985 is year 0, then year 2005 is year 20, and year 2010 is year 25. We will make these the x coordinates in our coordinate pairs.

(0, 113000) and (20, 155000)

Filling into our standard form using the first coordinate pair will give us the initial value of the house at the start of our problem:

Anything raised to the 0 power is equal to 1, so

113000 = a(1) and

a = 113000

Now we will use that value of a along with the second pair of coordinates and solve for b, the growth rate you're looking for:

Start by dividing both sides by 113000 to get a decimal:

To solve for b, we have to undo that power of 20 by taking the 20th root of b. Because this is an equation, we have to take the 20th root of both sides:

The 20th root and the power of 20 undo each other so all we have left on the right is a b, and taking the 20th root on your calculator of the decimal on the left gives you:

b = 1.0159 which rounds to

b = 1.02 This is our growth rate.

Now we can use this growth rate and the value of a we found to write the model for our situation:

If we want to find the value of the house in the year 2010 (year 25 to us), we sub in a 25 for x and do the math:

Raise 1.02 to the 25th power and get:

y = 113000(1.640605994) and multiply to get a final value of

y = $185,388


Related Questions

I need help with this I will I’ve you Brainiest if right

Answers

Answer:

The answer is J: 1/2

Step-by-step explanation:

The answer would be 1/2, or 50% because there are 4 tiles and 2 tiles are vowels. Hamda would have at least a 50% chance of picking it.

Dan solves 6p = 5-3p in the way shown below. Which properties did Dan use for Step 1 and Step 2?
6p - 5 - 3p
Step 1: 6p + 3p - 5 - 3p + 3
Step 2: 6p + 3p = 5 + 0
Step 3:
9p - 5
Step 4:
P=
Both the addition Property of Equality and the Distributive Property
Both the Addition Property of Equality and the Additive identity Property
Both the addition Property of Equality and the Additive inverse Property
Both the Addition Inverse Property and the Additive Identity Property

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Both the Addition property of equality and additive inverse property

A video game is on sale for 20% off. The sale price of the game is $35.00. How much did the game ORIGINALLY cost?

Answers

Answer:

$43.75

Step-by-step explanation:

To find how much the game would have been 20% off from 43.75, you would have needed the expression

43.75*0.8

So to go from 35 to 43.75, you need the expression

35/0.8.

This expression in simpler terms means What is 38, 80% of?

That is how we get 43.75.

35/0.8 = 43.75.

***SHOW YOUR WORK***

1 How many centimeters are in 4 inches if 1 inch = 2.5 cm? 1​

Answers

Answer: 10

Step-by-step explanation: 2.5 x 4

Noah and Lin buy a 10-cup bag of flour and divide it evenly to make their recipes.

If they each use all their flour, how much sugar do they each need?

Answers

Answer:

I'm not sure if that helps or not

If A={w,h,i,t,e,b,o,a,r,d} and U ={a,b,c,d,e,f,g,h,i,j,k,l,m,,n,o,p,r,s,t,u,v,w,x,y,z}

Answers

marker 12346789 123456789

Answer:

Answer = 1234567890

Step-by-step explanation:

A deli sells 2 hot dogs for $2.50. What is the constant of proportionality of dollars per hot dog?

Answers

Answer:

$1.25 per hot dog

Step-by-step explanation:

Since we have given that

A deli sells 2 hot dogs for $2.50

i.e.

Cost of 2 hot dogs = $2.50

And we need to find the constant of proportionality of dollars per hot dog, for which we'll use unitary method.

So,

Cost of 1 hot dog is given by

2.50/2=$1.25

So, Cost of per hot dog is $1.25.

Hope this helps :)

What 9+1 please answer ​

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

OMG I finally know one on here!

The depth of an underwater camera on a cable anchored to the sea floor is proportional to the time. The table records the time in seconds (s) and depth in meters (m) of the camera. What are the missing values in the table?

Answers

Answer:

20=-1

60=-3

100=-5

240=-12

Step-by-step explanation:

divide time and depth by 20

When time is 20 the depth is -1, when time is 60 the depth is -3 and time is 240 the depth is -12.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The depth of an underwater camera on a cable anchored to the sea floor is proportional to the time.

From the table let us take the values of time and depth which both are given.

Time=100 and depth is -5.

From this we can find the other values.

Depth=-1 when time is x

100/-5=x/-1

100=5x

Divide both sides by 5

x=20

So when time is 20 the depth is -1.

Now we have to find the depth when time is 60.

60/x=100/-5

-300=100x

x=-3

So when time is 60 the depth is -3.

Now we have to find the depth when time is 240.

240/x=100/-5

-1200=100x

Divide both sides by 100

x=-12

when time is 240 the depth is -12.

Hence, when time is 20 the depth is -1, when time is 60 the depth is -3 and time is 240 the depth is -12.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ5

What is 296 x 58 = ?​

Answers

Answer:

17168

Step-by-step explanation:

1.509 rounded to the nearest ones

Answers

Answer:

2

Step-by-step explanation:

Because It pases the half point

Solve equation 2 cot² x + 2 = 7 + 3 cot x for
[tex]0 \leqslant x \leqslant 360[/tex]

Answers

Answer:

Look below.

Step-by-step explanation:

[tex]2 (cotx)^{2} + 2 = 7 + 3 cot x\\let \\ u=cotx\\2u^2+2=7+3u\\2u^2-3u-5=0\\[/tex][tex]x=\frac{-(-3)+\sqrt{9-4(2)(-5))} }{2(2)} \\x=\frac{-(-3)-\sqrt{9-4(2)(-5))} }{2(2)} \\x={11/4}\\x=-1\\\\u=cotx\\x=arccotu\\x_{1}=arccot(-1) \\x_{2}=arccot(11/4)\\[/tex]

Calculate x1 and x2 in calculator. Check for domain.

I NEED HELP ASAP PLS :(

Answers

Answer:

7

Step-by-step explanation:

WHATS 1+1
I need help ;)

Answers

Answer:

1+1=2......................

giving brainliest and 50 pts

Answers

D is correct
Have a great day!
D is the correct answer!

to multiply/divide fractions the denominator has to be the same.

a) true

b) false ​

Answers

Answer:
False

Explanation:

The graph of a linear function is shown.

Answers

Answer:

Step-by-step explanation:

y=1/5+0 is the answer to your problem I very much believe

Evaluate ƒ(x) when x = 3. 6x^2+2

Answers

Answer: f(x)=56

Step-by-step explanation:

We are given the equation f(x)=6x²+2. Since we are asking for x=3, we can plug that into the equation and solve.

f(3)=6(3)²+2           [exponent]

f(3)=6(9)+2            [multiply]

f(3)=54+2               [add]

f(3)=56

Now, we know that f(x)=56 when x=3.

5 1/5-1 3/4 answer soon

Answers

Answer:3 9/20

Step-by-step explanation:

170°
In circle o, what is mZMAJ?
O 50°
J
O 55°
K
O 125°
O 250°
A
L
M
80°

Answers

i Believe its 55°. let me know if i’m right

Answer:

The correct answer is 55

Step-by-step explanation:

What you do first is you take 170 and add it with 80

Once you get that (250) than you subtract

360- 250 = 110

this is <LAK and <MAJ together so to get <MAJ you need to divide by 2

Than you get your answer which is 55

Hope This Helped

A recipe says, "3 parts water to 1 part milk." How much
water will you need If you use 2 Ilters of milk?

Answers

Answer:

9 parts water

Step-by-step explanation:

What would be the BEST formula to model the volume of a tree trunk?

Answers

like a hand help model?

Answer:

Volume of a cylinder.

Step-by-step explanation:

Solve for the missing term

Answers

Answer:

Answer 1 : 120

Answer 2 : 4

Answer 3 :

Answer 4 : 60

Amswr 5 :

Sorry I didn't know the rest I hope this helps you

Together a chair, a table, and a lamp cost $562. The chair costs 4 times as much as the lamp, and the table costs $23 less than the chair. Find the cost of the table.​

Answers

Answer:

Cost of table is $237

Step-by-step explanation:

Cost of chair, table and lamp = $562

Cost of lamp = x

Cost of chair = 4x  (The chair costs 4 times as much as the lamp)

Cost of table = 4x-23 (the table costs $23 less than the chair.)

We need to find the cost of table.

We know that:

Cost of chair, table and lamp = $562

We can write:

[tex]x+4x+4x-23=562[/tex]

First, we need to find value of x by solving the equation.

[tex]x+4x+4x-23=562\\9x=562+23\\9x=585\\x=\frac{585}{9}\\x=65[/tex]

So, we get x = 65

Now, we can find cost of table:

We are given:

Cost of table = 4x-23

Cost of table = 4(65)- 23 = 237

So, Cost of table is $237

7(C - 18)= -98
Help ASAP

Answers

Answer:

[tex]C=4[/tex]

Step-by-step explanation:

[tex]7(c-18)=-98\\7c \frac{-126}{+126}=\frac{-98}{+126} \\\frac{7c}{7}=\frac{28}{7}\\c=4[/tex]

Follow the steps in solving this linear
equation:
3(x - 7) = 44
3x - 21 = 44
3x = 23
Which statement best describes the
error in this work?
A. Improper use of the Distributive
Property
B. Improper use of the Associative
Property of Addition
C. Improper use of the Additive Inverse
Property
D. Improper use of the Multiplicative
Inverse Property

Answers

C %100 I know for sure.

h(x) = -0.5x16 + 14x2 – 2 + 254

Answers

Answer: 14 squared divided by 17 over 14 squared divided by 2 is a local maximum

Han used 1 1/2 gallons of paint to paint 3/5 of a shed. How many gallons of paint will it take to paint the whole shed? Write a multiplication equation or a division equation to represent this situation then find the answer. Show your reasoning

Answers

Answer:

2 gallons

Step-by-step explanation:

If Han used 1 1/2 gallons of paint to paint 3/5 of a shed, this can be expressed as;

1 1/2 gallons = 3/5 of the shed

3/2gallons = 3/5 of the shed

To find the number of gallons that will paint the whole shed, we will say;

x gallons = 1 shed

Divide both expressions

3/2/x = 3/5

3/2x = 3/4

2x * 3 = 3*4

6x = 12

x = 12/6

x = 2

Hence 2 gallons will be needed for the whole shed

A 10meter piece of wire is cut in to two pieces . one piece is 2 meters longer than the other . how long are the pieces?​

Answers

Answer:

8m

Step-by-step explanation:

hope this helps

Answer:

8 Is the answer

Step-by-step explanation:

I think it helped you.

An interview service provider charges 35 dollars sign up fee and 40 dollars per month for an internet plan whitch representation shows the relationship between the number of months ,x,and the total cost of the internet plan,y?

Answers

Answer:

35+40x=y

Step-by-step explanation:

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