Pls Give Step By Step Explanation

There are several types of functions, but this question is limited to just 2 types, which are the exponential function and the linear function.

The given parameters can be represented as:

[tex]\begin{array}{cccc}{Years} & {1} & {2} & {3} & {House\ 1} & {186,160 } & {193,606.40 } & {201,350.66} & {House\ 2} & {190,000 } & {201,000 } & {212,000} \ \end{array}[/tex]

(a): The type of function

First, we check if the function is linear by calculating the difference between each year

House 1

[tex]d = 193606.40 - 186160 = 7446.4[/tex]

[tex]d = 201350.66 - 193606.40 = 7744.26[/tex]

The difference are not equal; hence, the function is not linear. So, we can assume that it is exponential

House 2

[tex]d = 201000 - 190000 =11000[/tex]

[tex]d = 212000 - 201000 =11000[/tex]

The difference are equal; hence, the function is linear.

(b): The function of each

House 1

An exponential function is represented as:

[tex]y = ab^x[/tex]

When [tex]x = 1;\ y =186,160[/tex]

We have:

[tex]186,160 =ab^1[/tex]

[tex]186,160 =ab[/tex] ---- (1)

When [tex]x = 2;\ y =193606.40[/tex]

We have:

[tex]193606.40 =ab^2[/tex] --- (2)

Divide (2) by 1

[tex]\frac{193606.40}{186160} =\frac{ab^2}{ab}[/tex]

[tex]1.04 = b[/tex]

[tex]b = 1.04[/tex]

Make a the subject in (1)

[tex]186,160 =ab[/tex]

[tex]a = \frac{186160}{b}[/tex]

[tex]a = \frac{186160}{1.04}[/tex]

[tex]a = 179000[/tex]

So, the function for house 1 is:

[tex]f(x) = 179000 * 1.04^x[/tex]

House 2

A linear function is represented as:

[tex]y = mx + b[/tex]

First, we calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{201000 - 190000}{2 - 1}[/tex]

[tex]m = \frac{11000}{1}[/tex]

[tex]m = 11000[/tex]

So, the equation is:

[tex]y =m(x-x_1) + y_1[/tex]

Substitute known values

[tex]y =11000(x-1) + 190000[/tex]

[tex]y =11000x-11000 + 190000[/tex]

[tex]y =11000x+179000[/tex]

So, the function for house 2 is:

[tex]f(x) =11000x+179000[/tex]

(c): House with the greatest value in 30 years

This means that:

[tex]x = 30[/tex]

For house 1, we have:

[tex]f(x) = 179000 * 1.04^x[/tex]

[tex]f(30) = 179000 * 1.04^{30}[/tex]

[tex]f(30) = 580568.15[/tex]

For house 2, we have:

[tex]f(x) =11000x+179000[/tex]

[tex]f(30) = 11000 * 30+ 179000[/tex]

[tex]f(30) = 509000[/tex]

By comparison;

[tex]580568.15> 509000[/tex]

House 1 will have a greater value in 30 years

And the difference between the values is significant

The difference is:

[tex]d =580568.15-509000[/tex]

[tex]d =71568.15[/tex]

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Answer:

The customary method of finding the inverse is some variant of the method I'm going to use below. Whatever method you use, make sure you do the exact same steps in the exact same order every time, so you remember those steps when you get to the test.

Find the inverse of y = 3x – 2.

Here's how the process works:

Here's my original function:  

y = 3x - 2

Now I'll try to solve for "x =":  

y + 2 = 3x

(y + 2)/3 = x

Once I have " x =", I'll switch x and y; the "y =" is the inverse.  

y = (x + 2)/3

Then the inverse is y = (x + 2) / 3

If you need to find the domain and range, look at the original function and its graph. The domain of the original function is the set of all allowable x-values; in this case, the function was a simple polynomial, so the domain was "all real numbers". The range of the original function is all the y-values you'll pass on the graph; in this case, the straight line goes on for ever in either direction, so the range is also "all real numbers". To find the domain and range of the inverse, just swap the domain and range from the original function.

Step-by-step explanation:

Answer:

The probability that Chang gets dressed with a white shirt and tan pants is 25%.

Step-by-step explanation:

Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:

Each shirt = 50% chance

Each pants = 50% chance

0.50 x 0.50 = X

0.25 = X

Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.

Answer:

0.858

Step-by-step explanation:

2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858

Answer:

Roses 2.70, Lillies 2.45, Carnations 1.60

Answer:

9/20

Step-by-step explanation:

1. 3/8 / 5/6

2. 9/20

Answer:

[tex] \sf \: \frac{9}{20} [/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: \frac{ - 3 }{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]

[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \times \frac{ - 6}{ \: 5} [/tex]

[tex] \sf \rightarrow \: \frac{( - 3 \times - 6)}{(8 \times 5)} [/tex]

[tex] \sf \rightarrow \: \frac{18}{40} = \frac{9}{20} [/tex]

Hence, the answer is 9/20.

Answer:

Step-by-step explanation:

[tex][(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000[/tex]

Answer:

0.9⁰

Step-by-step explanation:

let unknown angle be x

sin x=47/60

sin x=0.783333

x=sin(inverse) 0.7833333

x=0.9⁰

Answer:

x = -3,y = 2

Step-by-step explanation:

3x-2y = -13

4x-3y = -18

~~~~~~~~~~~~~~~~

9x -6y = -39

-8x+6y = 36

x = -3

-12 -3y = -18

-3y = -6

y = 2

Answer:

y=-2x+7

Step-by-step explanation:

Try plotting the points on desmos. Then use the slope to find the y value.

Answer:

25 -(.3*25)

25-7.50 = $17.50

Step-by-step explanation:

Answer:

17.50

Step-by-step explanation:

First find the amount of the discount

25 * 30%

25 * .3

7.5

Subtract this from the original amount

25 - 7.5

17.50

Answer:

Step-by-step explanation:

To evaluate such, the following must be comprehended:

Slope: Rise/Run.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:

m = (y2 - y1) / (x2 - x1)

Points utilized or given: (-1, 2) and (7, 2).

2 - 2 / 7 + 1 = 0/8 ==> 0

Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).

Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:

Point-Slope Formula:

Y- y1 = m(x - x1)

Y - 2 = 0(x - 7)

Y - 2 = 0

Y = 2

Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).

*I hope this helps.

Answer:

Option D

Step-by-step explanation:

There are no real solution for the given equation

Answered by GAUTHMATH

Answer:

From first Newton's equation of motion:

[tex]{ \bf{v = u + at}}[/tex]

Substitute the variables:

[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]

Acceleration is 2 ms-²

Answer:

B.

Step-by-step explanation:

Answer:

72cm

Step-by-step explanation:

We have 4/6 sides. 4 of them are given, and they are 13.25cm, 7.25cm, 7.75cm, and 22.75cm.

The perimeter is found when you add all the lengths of the sides of a figure.

So far, we can add 13.25+7.25+7.75+22.75 = 51cm.

Let's call the first ungiven side A. We can see that 7.75cm + A = 13.25cm. Using this, we can figure out that A = 13.25-7.75 = 5.5cm.

We can call the second ungiven side B. We see that 7.25cm + B = 22.75cm. So, B = 22.75-7.25 = 15.5cm.

Now, let's add everything together. 51cm + A + B = Perimeter. 51cm + 5.5cm + 15.5cm = 72cm.

Hope this helps! Feel free to ask any questions if this doesn't make sense. :)

Answer:

18 because we will multiply them all together

formula applied was lbh multiplied together. Mark me as the brainliest

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

It wont let me upload anything so i will come back with steps later

Answer:

yes

yes

no

no

Step-by-step explanation:

4.

Additive inverses are the same number with different signs, one positive and one negative. they must add to zero. For example, -1 and 1 are additive inverses since they add to zero.

yes

yes

no

no

Answer:

{-7,-6,-5,-4}

Step-by-step explanation:

Answer:

thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know

Step-by-step explanation:

Answer: the answer is 2 or C

-8/2 x -3/6

*Always do the recipical*

(-8 x -3) / (2 x 6)

-8 x -3= +24

2 x 6= 12

24/12= 2

The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that the expression is,

-8/2 x -3/6

The expression will be solved as below,

E = (-8 x -3) / (2 x 6)

The numerator will get reciprocal and multiplied to the denominator,

E = 24 / 12

Divide the number 24 by 12 and get the solution,

E = 2

Therefore, the solution of the expression will be 2. The correct option is B.

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Answer:

The probability is [tex]\frac{3}{4^7}[/tex].

Step-by-step explanation:

Total questions = 7

Number of choices of each question = 4

Probability to give the correct answer = 1/4

Probability to give the wrong answer = 3/4

Probability to give 1 answer wrong

[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]

Answer: 7.1 units

Step-by-step explanation:

Using Pythagorean theory, c^2 - a^2 = b^2

We know c= 10

We know a=7

We are looking for b

10^2 - 7^2 = b^2

51= b^2

Take square root of both sides

7.1=b

Answer:

SPEED ANSWER!!!!

Answer:

y = -2x - 6

Step-by-step explanation:

Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise').  Thus, the slope of the line through these two points is m = rise/run =  16/(-8) = -2.

Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

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Answer:

1/36

Step-by-step explanation:

There are 6 possible outcomes 1,2,3,4,5,6

P(1) = number of outcomes that equal1 / total

        =1/6

Roll again

P(1) = 1/6

These are independent events so we can multiply the probabilities

P(1 roll again 1) = 1/6 * 1/6 = 1/ 36

Answer:

A odd index can go to " - infinity "

Step-by-step explanation: