please help and show work I'll mark you brainliest if I can ​

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

Rita will earn $897 for working 52 hours.

Word problems in mathematics are mathematical operations that are applied to solve real life cases.

From the information given:

If Rita worked for 22 hours, she earns $379.50

Now, if Rita worked for 52 hours, the amount Rita will earn can be expressed by using the relation:

[tex]\mathbf{= \dfrac{52 \ hours \times \$379.50}{22 \ hours} }[/tex]

= $897

Learn more about word problems in mathematics here:

https://brainly.com/question/21405634

#5:

Let's first start by solving for x. The two angles with x's in them form a linear pair, or are supplementary angles, meaning that they add up to 180 degrees.

(4x + 23) + (9x - 38) = 180

13x - 15 = 180

13x = 195

x = 15

Now that we have x, we can solve for y. Alternate interior angles are congruent.

(4x + 23) = (21y - 1)

4(15) + 23 = 21y - 1

60 + 23 = 21y - 1

83 = 21y - 1

84 = 21y

y = 4

#8:

Let's first start by solving for x. The two angles with x's in them are corresponding angles, meaning that they are congruent.

10x = 13x - 33

-3x = -33

x = 11

Now that we have x, let's figure out how we can find y. Looking at the angle with a value of 10x, we can find its supplement. That supplement then, is a corresponding angle with the 5y angle, meaning that they are congruent.

Supplement = 180 - 10x

Supplement = 180 - 10(11)

Supplement = 180 - 110

Supplement = 70

Supplement = 5y

70 = 5y

y = 14

Hope this helps! :)

- #5 -

y = 4

[] First we need to solve for x, these are on a straight line so we can set them equal to 180 degrees and solve because they are supplement angles:

4x + 23 + 9x - 38 = 180

13x - 15 = 180

13x = 195

x = 15

[] Now we will plug-in and solve for one of them

9x - 38

9(15) - 38

135 - 38 = 97

[] Last, the y angle and the angle we just solved for can be added together and set equal to 180 because they are supplement angles:

97 + 21y - 1 = 180

96 + 21y = 180

21y = 84

y = 4

- #8 -

y  = 14

[] First we need to solve for x, these are corresponding angles so we can set them equal to each other:

13x - 33 = 10x

-33 = -3x

11 = x

[] Plug-in and solve for one of them

10x  = 10(11) = 110

[] Last, the line is 180 degrees so we can add them together, set it equal to 180, and solve

110 + 5y = 180

5y = 70

14

- See attached for where I am pulling numbers from -

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

use the formula y=mx+c

Step-by-step explanation:

m is the gradient

c is the y axis intercept

[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]

[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]

[tex]\\ \sf\longmapsto 8+9i+1[/tex]

[tex]\\ \sf\longmapsto 9i+9[/tex]

Answer:

450 cm area

Step-by-step explanation:

Formula 1/2*b*h

1/2*75*12cm

1/2*900

1*450cm

450 is area  PLEASE MARK BRAINLIEST :))

The range of the relation will be expressed as 0 ≤ g(x) ≤ 120

Writing this as a function will give:

where g(x) is the range of the relation.

If he has between 0 and 6 lessons each evening, the corresponding range at x = 0 and x = 6 is given as;

Therefore the range of the relation will be expressed as 0 ≤ g(x) ≤ 120

Learn more on range of a function here: https://brainly.com/question/10878781

Answer: {0, 20, 40, 60, 80, 100, 120}

Step-by-step explanation: Remember we only use inequality signs for continuous relations with an infinite amount of values or data points or values or points. When we're given a set finite amount of data points we use brackets for this data because it is a discrete relation.

And for this problem we're looking for the range of the relation and recall the range is the dependent values or variables that depend on the domain or independent variables. The amount of money he earns depends on the amount of hours he works. Hence, the range is {0, 20, 40, 60, 80, 100, 120} the amount of possible money he can earn.

Answer:

In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144°

Step-by-step explanation:

Answer:

can we get a picture or something? we cant help unless we have more context

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given sequence:

The first differences:

The second differences:

If the sequence is T(n) = an² + bn + c, we have:

Using the first and second differences work out  the value of zero term:

This gives us c = - 4

Now we have:

The first term is T(1) = -1, substitute n = 1 and find the value of b:

The nth term is:

Now lets find if -189 belongs to this sequence:

The left side is positive and the right side is negative so the answer is also negative

Step-by-step explanation:

Set up a proportion:

26.5/x = 17/58

Cross multiply and you get:

17x = 1537

x = 90.4

So the measure of PQ is 90.4

Answer:

90.41

Step-by-step explanation:

you need to apple the thales's theorem

which is the comparison like this

ML=PQ JM= QN

Then you multiply in a crossed way like this

26.5 times 58= 1537

then you need to divide it by 17

1537/17= 90.41

Step-by-step explanation:

6)

[tex]k = \frac{6}{4} \\ k = \frac{3}{2} [/tex]

7)

[tex] \frac{ab}{mn} = \frac{bc}{no} = \frac{cd}{op} = \frac{da}{pm} [/tex]

8)

[tex]y = 8 ( \frac{3}{2} ) \\ y = 12[/tex]

[tex]z = 6 ( \frac{3}{2} ) \\ z = 9[/tex]

9)

[tex]5k = 8 \\ k = \frac{8}{5} \\ x( \frac{8}{5}) = 32 \\ x = 20ft[/tex]

Answer: 12,2

Step-by-step explanation:

Answer:

so the answer is TRUE

Step-by-step explanation:

I'm not sure how to explain but ik it it

Answer:

D

Step-by-step explanation:

The system of equations representing the number of Blue-ray discs and DVD's after t months are:

507 + 26t

925 - 12t

Each month, the number of DVD's sold decreases by 12, this can be modelled as:

number of DVD in opening month - (monthly decrease x number of months)

Number of DVD's in t months = 925 - 12t

Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:

number of blue-ray discs in opening month + (monthly increase x number of months)

Number of Blue-ray discs in t months = 507 + 26t

To learn more about growth rate, please check: https://brainly.com/question/18760477

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

Answer:

true

Step-by-step explanation:

Answer:

false.

Step-by-step explanation:

btw i love your pfp.

Option B

If any doubt leave a comment

Answer:

a = 5/2

b = 1

I hope it correct

Step-by-step explanation:

Thank you

Answer:

answer is 5ab

Step-by-step explanation:

3(4a-5b)+2(2a-3b)

3(ab)+2(ab)

3ab +2ab

5ab

Answer:

59.3ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V= πr²h, where r is radius and h height.

So in our case, we have r= 3ft and h=2.1 ft and π≅3.14

So from the formula for the volume of a cylinder, we get 3.14*3²*2.1 = 59.3 ft³

The volume of the cylinder is about 59.3 ft³

Answer : pumpkin that is 12 pounds

Step - by - step explanation :

First, convert . . . what is 1.7 kilograms as pounds ?  3.74786 ( rounded is 4 pounds )

Second, compare . . . 4 < 12

Hope this helped ! :>

Answer:

John

Step-by-step explanation:

Step-by-step explanation:

=  −15 ±  √5                                                                                                                                                 =  10                                                          the quadratic formula is:10

Answer:

c= -17/2

Step-by-step explanation:

a/b-d=2c/b

3/4-5=2c/4

-17/4=2c/4

-17/4÷1/4=2c

-17/4×4=2c

2c=-17

c=-17/2

Answer:

[tex]y=-1 \frac{2}{3}x+5[/tex]  

Step-by-step explanation:

y=mx+b is slope-intercept form

m= slope

b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).

The photo you have attached is very blurry but i will do my best to read the numbers on the graph.

the y-intercept looks to be at 5

so we plug that in

y=mx+5

now let's get the slope.

pick two points you can easily see,

slope is change in y over the change in x --- which is simplified below

rise over run

y2-y1 divided by x2-x1

we can see the point (0,5) and the point (3,0)

(3,0) is going to be the x2 and y2 and the other point is the x and y 1s

0-5= -5

3-0= 3

-5/3

let's simplify that

we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.

-1 2/3

that is our slope

let's plug it in:

[tex]y=-1 \frac{2}{3}x+5[/tex]

that is our answer!

Answer:

1,632

Step-by-step explanation:

the 15% of 1,920 is 288 subtract it to 1,920 so you'll get 1,362 is the number of athletes finished the race this year