Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years: Year 1 2 Value (in dollars) $104,271. 02 $107,399. 15 Which function best represents the value of the real estate after t years? f(t) = 101,234(1. 03)t f(t) = 101,234(0. 03)t f(t) = 104,271. 02(1. 03)t f(t) = 104,271. 02(0. 03)t.

Answers

Answer 1

The function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]

The table is represented as:

Years  - Values

1          -  $104,271. 02

2         -  $107,399. 15

Appreciation and depreciation are often represented using exponential function as follows:

[tex]f(x) = ab^x[/tex]

At year 1, we have:

[tex]104271. 02 = ab^1[/tex]

[tex]104271. 02 = ab[/tex]

At year 2, we have:

[tex]107399. 15 = ab^2[/tex]

Divide both equations

[tex]\frac{107399.15}{104271.02} = \frac{ab^2}{ab}[/tex]

[tex]1.03 = b[/tex]

Rewrite as:

[tex]b = 1.03[/tex]

He bought the real estate for $101,234.

So, we have:

[tex]a = 101234\\[/tex]

Substitute values for (a) and (b) in [tex]f(x) = ab^x[/tex]

[tex]f(x) = 101234(1.03)^x[/tex]

Replace x with t

[tex]f(t) = 101234(1.03)^t[/tex]

Hence. the function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]

Read more about exponential functions at:

https://brainly.com/question/12940982


Related Questions

What is the approximate value of b?

Answers

The answer is 7.6

Using the Pythagoras theorem, we can work out that b must be equal to the square root of 58, which is approximately 7.6

The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]

Answers

4:7

Take the square root of each square to get the side lengths

4*4=16
7*7=49

Answer:

4:7

Step-by-step explanation:

We know that

Area of square = s²

For square 1

16 = s²

√16 = s

4 = s

For square 2

49 = s²

√49 = s

7 = s

Scale factor = 4:7

It would be appreciated if there could be an explanation along the answer

Answers

Answer:

i think probably 80°

Step-by-step explanation:

PQ = RS

2x+3 = 4x-3

x = 3

PTQ = RTS

9y-3x-1 = 5x+7y-5

2y-8x = -4

y-4x = -2

y-4(3) = -2

y-12 = -2

y = -2+12

y = 10

so PTQ = 9y-3x-1

9(10)-3(3)-1

90-9-1

80°

Select the equation that contains the points (-1, -8) and (3, 4).

Answers

show us the equations
show us the equation

Solve for m.

35m>−30


m>−50

m<−50

m>−18

m<−18

Answers

[tex]35m>-30\\\\\implies \dfrac{35m}{35}>-\dfrac{30}{35}\\\\\implies m>-\dfrac{6}{7}[/tex]

This is a function?

O True
O False

Answers

Answer:

true

Step-by-step explanation:im not really sure

Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?

Answers

Step-by-step explanation:

the slower plane travels x km in 3 hours.

the faster plane travels x + 3×68 = x + 204 km in 3 hours.

x + x + 204 = 5052 km

2x = 4848 km

x = 2424 km (in 3 hours).

so, the slower plane's speed is 808 km/h.

the faster plane's speed is 808 + 68 = 876 km/h.

How to solve the function problem for this one?

Answers

Answer:

a. f(12) = - 1

b. x = 27 when f(x) = 4

Step-by-step explanation:

We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4

To find f(12) we simply plug in 12 into x and evaluate it

[tex]f(x)=\frac{1}{3} x-5[/tex]

plug in 12

[tex]f(12)=\frac{1}{3} (12)-5[/tex]

multiply 12 and 1/3 to get 4

[tex]f(12)=4-5[/tex]

subtract 5 from 4 to get -1

[tex]f(12)=-1[/tex]

Now we want to find the value of x when f(x) = 4

To do this we substitute 4 for f(x) and solve for x

[tex]f(x)=\frac{1}{3} x-5[/tex]

substitute 4 for f(x) and solve for x

[tex]4=\frac{1}{3}x -5[/tex]

add 5 to both sides

[tex]9=\frac{1}{3} x[/tex]

multiply both sides by 3

27 = x

And we are done.

So f(12) = -1 and x = 27 when f(x) = 4

For a plug in 12 for x:

f(12) = 1/3(12)-5

f(12) = 4-5

f(12) = -1

For b plug in 4 for x:

f(4) = 1/3(4)-5

f(4) = 4/3 -5

f(4) = 0.75-5

f(4)= -4.25

simplify the quotient. Write the answer in sn.

Answers

Answer:

2.4*10^4

Step-by-step explanation:

write in scientific notation

first i would simplify the 3.6/1.5

=2.4

then you get (2.4*10^7)/10^3

formula: (m^x)/(m^y)= m^(x-y)

(2.4*10^7)/10^3

=2.4*10^(7-3)/1

=2.4*10^4

549.5 to 1 decimal place

Answers

Answer:

It is still 549.5

Step-by-step explanation:

Rounding to 1 decimal place is just rounding by the tenth place

So it is still 549.5

Hope this helps!

549.5 (still the same answer)

Solve for x.
-8 =X/4

Answers

x = −32

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the given cube has a mass of 173 grams, what is it’s density

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Answer:

I think the density is 4cm.

Hope that helps you.

Step-by-step explanation:

What is the value of r in the equation −4/3r − 1 = −2 ?

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Answer:

r = 3/4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

In Need of help please Help :c

Answers

Answer:

proportional: A, B, D, G, Inon-proportional: C, E, F, H

Step-by-step explanation:

Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.

  C has an initial value of 7

  E has a y-intercept of -3

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If 5/3 liters of water is enough to water ⅕ of your yard, 5 3 how much water is needed to water the entire yard?

Answers

Answer:

8 1/3 liters

Step-by-step explanation:

create a proportion from water : yard

let 'y' = water for entire yard

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5/3 · 5/1 = y/1

25/3 = y/1

3y = 25

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if x is reduced by 25%. the result will be

Answers

[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]

[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]

hope helpful~

The reduced quantity if x is reduced by 25% is 0.75x.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

x is reduced by 25%,

Calculate the 25% of x as shown below,

25 / 100 × x

0.25x

Calculate the reduced quantity,

Reduced quantity = x - 0.25x

Reduced quantity = x(1 - 0.25)

Reduced quantity = 0.75x

To know more about percentages:

brainly.com/question/20818421

#SPJ2

What type of number is ?
Choose all answers that apply:
A
Whole number
00
B
Integer
С
Rational
D
Irrational

Answers

Answer:

Irrational Number

Step-by-step explanation:

Mark as brainliest if correct

Is this the right question

Answers

Answer:

no, ssa is the incorrect one

no it’s not A is correct i think

help pls will give brainliest

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Answer:

$100-5(15) aka $25 still owed

pls help this a math question. image below

Answers

Answer:

D

Step-by-step explanation:

Same X, but different Y value, it is five apart in D

The answer is d your welcome

In a relation y = 2t + 1, what is the value of y if t = 7

Answers

Answer:

If t = 7, y = 16

Step-by-step explanation:

y = 2t + 1

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y = 15

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Answer:

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A triangle has two sides of length 6 and 18. What is the smallest possible whole-number length for the third side?

Answers

Answer:

Step-by-step explanation:

A triangle has two sides of length 14 and 5. What is the largest possible whole-number length for the third side?

Answer:

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Find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

Angle Bisector Theorem:  PS / PQ = RS / QR

24/14 = x/7

cross-multiply:

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Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?

Answers

Answer:

40

Step-by-step explanation:

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As an airplane flies toward you, its angle of elevation increases.

Answers

Answer:

True.

Step-by-step explanation:

We assume that the plane is flying at a constant height above the ground.

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help ASAP please hmmmm ​

Answers

Answer:

It has to be D.

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Answers

Answer: 38 divided by 8 which would equal 4.75 or 4 3/4 feet each day.

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Please Help Me please

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Answer:

the 3 one

Step-by-step explanation:

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