can someone pls help me on number 4

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:

18 because we will multiply them all together

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

Step-by-step explanation:

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:

92

Step-by-step explanation:

Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel

Answer:

[tex]\angle 2=92^{\circ}[/tex]

Step-by-step explanation:

When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.

In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:

[tex]\angle 2=\boxed{92^{\circ}}[/tex]

Answer:

B.

Step-by-step explanation:

Answer:

The answer is "Option C"

Step-by-step explanation:

Given:

[tex]r= 30 \ cm\\\\\theta =60^{\circ}[/tex]

Using formula:

[tex]\frac{A}{\theta}=\frac{\pi r^2}{2\pi}\\\\\frac{A}{\theta}=\frac{\pi r^2}{2}\\\\A=\frac{r^2\times \theta}{2}[/tex]

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:

SPEED ANSWER!!!!

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:

-8

Step-by-step explanation:

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

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:

He will need at least 657,142.86

Step-by-step explanation:

Determine how much commission he needs

60000-14000

46000

Commission is 7%

Let x be the sales

x*7% = 46000

x*.07 = 46000

Divide each side by .07

x = 46000/.07

x =657142.85714

Rounding to the nearest cent

x = 657,142.86

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:

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: 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:

Option D

Step-by-step explanation:

There are no real solution for the given equation

Answered by GAUTHMATH

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:

S.D = 236.5

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

300,

785,

670,

187,

760,

724

Answer:

300, 790, 670, 190, 760, 720

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:

30, 90

1 : √3 : 2

Step-by-step explanation:

let the smaller angle be x

hence, the other angle = 3x

180-60=4x

4x = 120

x = 120/4 = 30

other angle = 3(30) = 90

the triangle is a 30-60-90 triangle,

hence the ratio of the sides are 1:√3:2

( short leg : long leg : hypotenuse )

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:

Roses 2.70, Lillies 2.45, Carnations 1.60

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: 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:

-5

Step-by-step explanation:

3x²y + xy²​

Let x = -1/2 and y = 4

3(-1/2)^2 (4) + (-1/2) (4)^2

Exponents first

3(1/4) (4) + (-1/2) 16

Multiply

3 - 8

Subtract

-5

​

Answer:   [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]

Step-by-step explanation:                                                                                                                                                                                                                     simplify it                                                                                                                  [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex]                                                                       evalute                                                                                                        [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]                                                                                                                                                                                                                                                              

Answer:

It is the third one

Step-by-step explanation:

c

Answer:

= (6/x - 2)^3

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)