please help and look at the picture

This is an exponential decay problem.

Using the equation Y = a *(1-rate)^time

where Y is the future value given as 12,000 and a is the starting value given as 13,000.

The rate is also given as 5%.

The equation becomes:

12,000 = 13,000(1-0.05)^x

12,000 = 13,000(0.95)^x

Divide each side by 13000:

12000/13000 = 0.95^x/13000

12/13 = 0.95^x

Use the natural log function:

x = ln(12/13) / ln(0.95)

x = 1.56 years. ( this will equal 12,000

Round to 2 years it will be less than 12000.

ANSWER

[tex]y= -3{(x + 4)}^{2} + 2[/tex]

EXPLANATION

The given function is:

[tex]y= -3x^2-24x-46[/tex]

Factor -3 for the first 2 terms.

[tex]y= -3(x^2 + 8x)-46[/tex]

We add and subtract the square of the coefficient of x.

[tex]y= -3(x^2 + 8x + {(4)}^{2} ) - - 3( {4)}^{2} -46[/tex]

Factor the perfect square trinomial.

[tex]y= -3 {(x + 4)}^{2} ) + 48 -46[/tex]

The vertex form is:

[tex]y= -3{(x + 4)}^{2} + 2[/tex]

The remainder would be 1/4 of the pizza. 1/4 is equivalent to 2/8 of the pizza. This 2/8 can be easily divided for both sons. Therefore the answer would be each son would receive 1/8 of the pizza.

Answer:

201.06 square feet

Step-by-step explanation:

area of a circle is given by πr², where π = 3.1416

A = 3.1416 * 8²

A = 3.1416 * 64 = 201.0624 square feet

A = 201.06 square feet

Answer:

k=2

Step-by-step explanation:

[tex]\frac{k}{3} = \frac{16}{24}[/tex]            Set up your equation

24k=48                                                      Cross multiply

k=2                                                             Divide 24 from both sides

You answer is k=2

For this case we have the following equation:

[tex]\frac {k} {3} = \frac {16} {24}[/tex]

We must find the value of the variable "k":

Simplifying the right side of the equation we have:

[tex]\frac {k} {3} = \frac {8} {12}\\\frac {k} {3} = \frac {4} {6}\\\frac {k} {3} = \frac {2} {3}[/tex]

We multiply by 3 on both sides of the equation:

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

Answer:

[tex]k = 2[/tex]

$400 + (74.00 * 24) = $2,176.

The cash price is $191.00 less.

Answer:

bedroom furniture for $1,985.00 cash  

or  

bedroom furniture for $400 down  payment and $74.00 per month for 24 months

so, calculating the total money  

             = down payment + monthly payment × number of months

             =   $400 + $74.00 × 24

             =  $ 2176

hence, paying bedroom furniture for  $1,985.00 cash  will be the appropriate option for the payment.

R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS* [(-∞, ∞)].

Answer: the domain is all real numbers. the range is {y|y ≤ 16}

Step-by-step explanation:

Don’t have trust issues

Answer:

93

Step-by-step explanation:

180-25=155

155÷5=31

31×3=93

A triangle is a three-edged polygon with three vertices. The measurement of the largest angle of the triangle is 93°.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Let the measure of the smallest angle be x. And as it is given that the measure of the second angle is 3 times the smallest, while the measure of the third angle is 25 more than the smallest angle. Therefore, the measure of the angles can be written as,

∠1 = x

∠2 = 3x

∠3 = x + 25

Since the sum of all the angles of a triangle is 180°, therefore, the sum can be written as,

∠1 + ∠2 + ∠3 = 180°

x + 3x + (x+25) = 180°

x + 3x + x + 25 = 180°

5x + 25 = 180°

5x = 180° - 25°

5x = 155°

x = 31°

Now, the measurement of all the angles is,

∠1 = x = 31°

∠2 = 3x = 3(31°) = 93°

∠3 = x + 25 = (31+25)° = 56°

Hence, the measurement of the largest angle of the triangle is 93°.

Learn more about Triangle:

https://brainly.com/question/2773823

#SPJ2

Answer:

graph B

Step-by-step explanation:

if we mention x =0 then y=-12 and we do the same with y if we mention y=0 then x=6 and x=-2 and we will find thes cases only in graph B

The solution is Option B.

The graph of the equation of line y = x² - 4x - 12 is given below , where the values of y = 0 at x = -2 and x = 6

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be A

Now , the value of A is given as

y = x² - 4x - 12   be equation (1)

On factorizing the equation (1) , we get

y = x² + 2x - 6x - 12

So , on grouping the common terms , we get

y = x ( x + 2 ) - 6 ( x + 2 )

y = ( x + 2 ) ( x - 6 )

when y = 0

x + 2 = 0

On subtracting 2 on both sides , we get

x = -2

when y = 0

x - 6 = 0

On adding 6 on both sides , we get

x = 6

So , the value of y = 0 , when x = -2 and when x = 6

Substituting the values in the equation,we get the following graph

Therefore , the equation of line is y = ( x + 2 ) ( x - 6 )

Hence , The graph of the equation of line y = x² - 4x - 12 is given below , where the values of y = 0 at x = -2 and x = 6

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ5

Answer:

you need to add the picture

Step-by-step explanation:

Answer:add the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

$20.00

Answer:

D. Reciprocal parent function

Step-by-step explanation:

The given function has the x-axis as the horizontal asymptote

The vertical asymptote is the line x=0, which is the y-axis.

This means that the function has x, in the denominator.

Therefore, the function represented by the graph is [tex]\frac{1}{x}[/tex].

This is the parent reciprocal function.

The correct choice is D

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=\stackrel{\times 6}{6r} \end{cases}\implies V=\pi (6r)^2 h\implies V=\pi (6^2r^2) h \\\\\\ V=36~~\pi r^2 h\impliedby \textit{36 times the original volume}[/tex]

The effect that multiplying the radius by 6 would have on the volume of the cylinder is the volume would increase by a factor of 36

From the question, we are to determine what effect multiplying radius by 6 would have on the cylinder

Using the formula for calculating the volume of a cylinder

V = πr²h

Where V is the volume of the cylinder

r is the radius

and h is the height

If the r is the radius and h is the height of the first cylinder,

Then, volume of the first cylinder will be

V = πr²h

For the new cylinder

radius = 6r

and h = h

Then, volume of the new cylinder will be

V₂ = π × (6r)² × h

V₂ = π × 36r² × h

V₂ = 36πr²h

The new volume is multiplied by a factor of 36

Hence, the effect that multiplying the radius by 6 would have on the volume of the cylinder is the volume would increase by a factor of 36.

Learn more on Calculating the volume of a cylinder here: https://brainly.com/question/18757852

#SPJ5

Answer:

Mean: 116

Median: 115

Mode: 115

Step-by-step explanation:

Mean is the average of the data set; it’s found by adding up all the numbers and dividing that sum by the number of numbers there are

(114 + 120 + 115 + 114 + 118 + 117 + 114)/7 = 812/7 = 116

Median is found out by ordering the given numbers from largest to smallest and finding the middle number; if there are an even number of given numbers, you add them up and divide by two.

In this case, you are lucky enough to be given an odd numbers of given numbers

Ordering (smallest to largest):

114, 114, 114, 115, 117, 118, 120

Median is 115

(this is the number in the middle of the data set)

Mode is the most frequently occurring number in the data set

In this case, the

Mode is 114

The mean of the data is 116, the median is 115, and the mode is 114. All three measures offer insights into the dataset's central tendencies.

To find the mean, median, and mode of the given data: 114, 120, 115, 114, 118, 117, 114, let's follow these steps:

Mean: Add all the numbers together and divide by the number of data points.

Median: Arrange the numbers in ascending order and find the middle value. If there is an even number of observations, calculate the average of the two middle values.

Mode: The most frequently occurring value in the dataset.

Thus, the mean is 116, the median is 115, and the mode is 114.

Answer:

y = 40 + 0.35x

y = 50 + 0.1x

Step-by-step explanation:

Talk A Lot Company

$40 for 600 mins

$0.35 for each extra min

Total cost = y

Number of extra minutes after 600 mins = x

y = 40 + 0.35x

Chat Away Company

$50 for 600 mins

$0.10 for each extra mins

Total cost = y

Number of extra minutes after 600 mins = x

y = 50 + 0.1x

I am pretty sure you would do it like that!!! Hope this helps :)

Answer:

1

Step-by-step explanation:

The answer is the graph has a relative maximum

1.RT

2.QS

3.PS

4.T

5.QR

6.QSR

7.QRS

If correct mark best answer!

also the direction is anti clockwise

I hope it could help you :)

To draw a 30° angle in standard position on the coordinate plane, start by drawing the initial side of the angle which is the positive x-axis. Use a protractor to measure a 30° angle counterclockwise from the initial side. Then draw a line from the origin to the endpoint of the angle to represent the terminal side. Label the angle measure as 30° and label the terminal side accordingly. Indicate the direction of rotation by drawing an arrow showing the counterclockwise direction.

To draw a 30° angle in standard position on the coordinate plane, follow these steps:

https://brainly.com/question/31573620

#SPJ2

The equation in slope-intercept form for the line with slope -7 and y-intercept 8 is y = -7x + 8. To graph the line, plot the y-intercept and use the slope to find other points on the line, connecting them to create the line.

To write an equation in slope-intercept form, we use the formula y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -7 and the y-intercept is 8, so the equation is y = -7x + 8.

To graph the line, first plot the y-intercept, which is the point (0,8). Then, use the slope to find other points on the line. Since the slope is -7, for every increase of 1 on the horizontal axis, the line decreases by 7 on the vertical axis. So, for example, if we move 1 unit to the right from the y-intercept, we go down 7 units. Plot these additional points and connect them to create the line.

The answer would be d- tossing s coin, tossing a second coin, and tossing a third coin

Option: D is the correct answer

D. Tossing a coin, tossing a second coin and tossing a third coin.

We know that when a coin is tossed then there are only two possible outcomes i.e. either a head or a tail.

Now, when a second coin is tossed then again we have two possible outcomes i.e. head and a tail.

and the total sample space of the two events is given by:

HH    HT   TT     TH

Now, when a coin is tossed third time then in than two outcomes are possible on the coin i.e. a head and a tail.

Hence, the total number of outcomes are:

HHH    HTH    TTH   THH

HHT     HTT     TTT    THT

i.e. when a coin is tossed n times that the total possible outcomes are:

                           [tex]2^n[/tex]

Here the coin is tossed three times.

Hence, the total possible outcomes are:  [tex]2^3=8[/tex]

Answer:

I am assuming you mean a normal cosine parent graph. The maximum a y=cos(x) graph can approach is one.

Answer:

1

Step-by-step explanation:

Answer:

89,400 was the population in 2016

Step-by-step explanation:

Hm..Maybe so that when they give birth the stretch Mark's on their body wont be so bad.

Because it provides the child with nutrition to sustain life in the mother’s stomach

Answer:

About 4.39.

Step-by-step explanation:

The distance formula is the square root of ( x2 − x1 ) squared + ( y2 − y1 ) squared. Plugging in our x and y values, you get 4.386342439892262, which rounds up to 4.39.

The answer is 4.39 and that’s the answer

I would think A. i just tried to figure it out on my own but forgive me if I'm wrong but I'm positive I'm right

Answer:

n = 2

Step-by-step explanation:

Given

- 6n + 21 = 12n - 15 ( collect terms in n on the left and numbers on the right )

Subtract 12n from both sides

- 18n + 21 = - 15 ( subtract 21 from both sides )

- 18n = - 36 ( divide both sides by - 18 )

n = 2

No a triangle equals to be 180 degrees not 190 degrees

No, a triangle cannot be drawn with the following angles.

On a triangle, all angles will add up to 180º.

These angles add up to 190º so it would not work.

1 because 13 is not divisible buy anything other than 1

The  LCM of 5, 13 and 10 is 130.

The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.

The LCM is the smallest number that is a multiple of 5, 13, and 10. To find the LCM, we can use the following steps:

1. Find the prime factorization of each number.

2. Find the highest power of each prime factor.

3. Multiply the prime factors together, using the highest power of each factor.

The prime factorization of 5 is 5.

The prime factorization of 13 is 13.

The prime factorization of 10 is 2 * 5.

The highest power of 2 is 1.

The highest power of 5 is 1.

The highest power of 13 is 1.

Therefore, the LCM of 5, 13, and 10 is:

2 * 5 * 13 = 130

Learn more about LCM on:

brainly.com/question/29231098

#SPJ6

Answer:

a

Step-by-step explanation: