Chris has saved $200,000 for retirement, and it is in an account earning 6% interest. If she withdraws $3,000 a month, how long will the money last?

Step-by-step explanation:

let's call that unknown number x.

2x/3 + 3 = 31

and that means

2x/3 = 28

2x = 84

x = 42

Answer:

-7/4

Step-by-step explanation:

we can see that every time the value of x increases by 4, the value of y decreases by 7.

let's pick two sets of coordinates (first two will be fine).

that is (-4, 6) and (0, -1)

Slope = (change in y values) / (change in x values)

= (-1 - 6) / (0 - -4)

= -7 / (0 + 4)

= -7/4.

so our slope (gradient) is -7/4

Answer:

Step-by-step explanation:

You want to know if the four points shown are coplanar and/or collinear.

Points that reside in the same plane are coplanar. There is nothing in the diagram to indicate that the points drawn are not in the same plane. Therefore, we assume ...

  the points are coplanar

Points are collinear when they reside on the same line. No three (or more) of the points shown lie on the same line, so they are not collinear.

__

Additional comment

A line can always be drawn through any two distinct points, so two distinct points are always collinear.

(In geometry problems, we're usually only concerned with the lines drawn in the figure at hand. So, even though points A and D could define line AD, that line is not shown in the given figure, so generally can be ignored.)

Step-by-step explanation:

70 ÷ 3 = 23  1/3

The point at (60, 55) represents an item with an original price of $60 that is now being sold at a sale price of $55.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The point at (60, 55)

Now,

This means that customers who enter the special discount code can save $5 on this particular item.

In general, the point (x, y) on the graph represents an item with an original price of x dollars that is being sold at a sale price of y dollars. The graph is showing how the sale price of items changes as the original price increases.

Therefore, by the graph the answer will be $60 and $55.

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We must look at each equation's characteristics and relate them to the characteristics of the graphs in order to match the parametric equations with the labelled graphs I–VI.

(A) As t increases, the parabola shifts away from the y-axis and increases quickly. The y-axis is where the symmetry lies.

(b) The curve is a parabola that begins at the centre and expands upward.

(c) The curve has a sharp x-direction oscillation and a y-direction oscillation.

(d) The slope oscillates quickly in one direction (the x-axis), but more slowly in the other.

(e) The trajectory travels in the direction of positive y while oscillating in the x-direction.

(f) As the trajectory deviates from the center, it oscillates.

Therefore, the matching is:

(a) III

(b) I

(c) IV

(d) V

(e) II

(f) VI

This question is incomplete without a graph. Please see the graph to get a better understanding of question.

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Answer:

25

Step-by-step explanation:

If one box of rice feeds 5 students, then 5 boxes of rice will feed:  5 x 5 = 25 students

There is a totaly of 50 students, and only enough rice for 25 students.  Therefore, the number of students who will not get rice = 50 - 25 = 25

Answer:

mark me brainlist

Step-by-step explanation:

The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Permutation has to do with arrangement and combination has to do with selection.

If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration

15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2

15P5 = 15,444 ways

Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

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Complete question

Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?

one hour 55 min

you just need to subtract bout to get the answer

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

The required verbal form of the expression is two more than 25 times of a number.

Given that,
An expression is given we have to determine the verbal expression of the given algebraic expression.

The algebraic expression consists of constant and variable. eg x, y, z etc.

Here,m
Given expression = 25x + 2
Where x is any variable number 25 times and further added 2.
So.
The verbal expression can be given as
two more than 25 times of a number.

Thus, the required verbal form of the expression is two more than 25 times of a number.

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y=23x+143 hope this helps

Answer:

y = -5x+14

Step-by-step explanation:

slope formula

y-y divided by x-x

4-(-1) / 2-3

5/-1 or -5

substitute into y = mx + b

4 = -5(2) + b

b = 14

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).

m(call time) + b = credit

The function produces a line with a slope of -0.14 when graphed.

After 43 minutes of calls, the card's balance is $26.02 left.

After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04

credit?

C(32) = -0.14(32) + 32.04\sC(32) = $27.56

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

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Answer:

sin(-pi/2) = -1

Step-by-step explanation:

sin (pi/12) cos((7pi)/12) -cos (pi/12) sin((7pi)/12) = -1

cos(-pi/2) = 0

sin(-pi/2) = -1

cos((2pi)/3) = -1/2

sin((2pi)/3) = (√3)/2

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

312

Step-by-step explanation:

Add the area of each face together

Don't forget the units!

Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.

We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).

We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.

36+24+96=156.

156x2=312.

This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.

When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.

I encourage you to let me know if this method works for you! I hope this helps!

Answer:

steam iron = 41.25

t-shirts = 17.82

paintbrushes = 13.94

bags of pasta = 3.52

total = 76.53

Answer:

1. 17.82 2. 13.94 3. 3.52 4. 35.28

Step-by-step explanation:

Hope thishelps :)

The equation that models the total distance traveled with respect to the time traveled is m = 65n.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

Example: 2 + 2x + 9y = 7 is an expression.

We have,

We can make ordered pairs from the table.

(2, 130), (3, 195), (5, 325), (7, 455)

Now,

The equation can be in the form m = an + c.

Take any two ordered pairs.

(2, 130) and (3, 195)

a = (195 - 130) / (3 - 2)

a = 65/1

a = 65

And,

(2, 130) = (n, m)

130 = 65 x 2 + c

130 = 130 + c

c = 0

Now,

m = an + c

m = 65n + 0

m = 65n

Thus,

The equation that models the total distance traveled with respect to the time traveled is m = 65n.

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As given by the question

There are given that the golf ball covers a horizontal distance of 301.5 m.

Now,

The vertical motion is:

Where

Put the value

Then,

The range of projectile motion :

And,

The height

Hence, the maximum height that can reach by the ball is 35.15 m

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.

Answer:

you got that

Step-by-step explanation:

wet wet wet

Answer:

{ x : x > 2 }

Step-by-step explanation:

4x - 3 + 6x > 5x + 7 , that is

10x - 3 > 5x + 7 ( subtract 5x from both sides )

5x - 3 > 7 ( add 3 to both sides )

5x > 10 ( divide both sides by 5 )

x > 2

Answer:

3,4,5

Step-by-step explanation:

The vaule of the cube root of 10 is about 2.15 and the value of the cube root of 200 is about 5.84

A whole number by defintion is an integer (positive of negative) that can be defined as a number that can be written without a fractional component.

So we know the range is between 2.15-5.84

Only 3 numbers fit in here

3,4,5

Answer:

3 numbers total

Step-by-step explanation:

The only whole numbers that fit in between those numbers are 3,4,5

Answer:

1/(1) (2) +1/(2) (3)

=1/2+1/6

=3

Answer:

shhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

2500

Step-by-step explanation:

The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Marquise has 200 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width x (in meters) is modeled by:

A(x)= - x² + 100x

The perimeter of the rectangle = 2( length + Width)

                                            200 = 2( length + Width)

                                        100 - x = L

The area of the rectangle = length × Width

                                           = x(100 - x)

                                           = (-x)²+ 100x

So,  (-x)²+ 100x where, a = -1 and b = 100

w = -100/2(-1)

w = 50

The area of the rectangle = (-x)²+ 100x

                                           = (-50)²+ 100(50)

                                          = 2500

Thus, The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

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Answer:

15

Step-by-step explanation:

triangle is isosceles