You want to save for retirement. assuming you are now 25 years old and you want to retire at age 50, you have 25 years to watch your investment grow. you decide to invest in the stock market, which has earned about 13% per year over the past 80 years and is expected to continue at this rate. you decide to invest $1,000 today. required: how much do you expect to have in 25 years?

Roy bought 35 pounds of pet food.

Addition is one of the four basic operations of arithmetic, The addition of two whole numbers results in the total amount or sum of those values combined.

Addition is the process of finding the total, or sum, by combining two or more numbers.

An example of addition is: 5 + 11 + 3 = 19.

Given that, Roy bought a 25 pound bag and a 10 pound bag of pet food we need to find that how many pounds of pet food did he buy

Since, we are required to find what amount of pet food did Roy bought from the market, here we will simply add both the amounts to get the total amount.

Total food =  25 pound bag + 10 pound bag

= 35 pound bag

Hence, Roy bought 35 pounds of pet food.

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Answer:

863432

Step-by-step explanation:

Add all numbers You will get answer

Answer:

863432.00

Step-by-step explanation:

800000

60000

3000

400

30

2

--------------

863432

_______

Answer:

0.216 cubic feet

Step-by-step explanation:

v = lwh (volume = length times width times height)

v = 0.6 x 0.6 x 0.6  OR 0.6^3

v = 0.216

Answer:

17 meters

Step-by-step explanation:

|\ angle = 60 degrees here of triangle
|   \              <-- digitaly drawn triangle
|___\

cirlcle diameter is 60 meters, since pillar is at the center then the distance of the pillar to the edge of the circlular meadow is (60/2) 30 meters.

30 meters is opposite of the angle.

The height of the pillar is adjacent to the angle so use tangent to solve

Tan(60) = 30/x

Tan(60) = 1.7; make sure that calculator is in degrees and not in radians to not get an incorrect value

1.7 = 30/x --> 1.7x = 30

x = 30/1.7

x = 17.3205 meters

using 2 significant figures gives us 17 meters

Answer: See attached

Step-by-step explanation:

y > -x + 4

   [] The line will be dashed as this is only greater than, not greater than an equal to like ≥

   [] We will shade above the line because the values are greater than

   [] The line will have a slope of negative one

   [] The line will have a y-intercept of 4

    If you need more than the graph and the details above please let me know.

Step-by-step explanation:

Adjacent sides of a square and a rectangle are always perpendicular to each other. Sides of the right-angled triangle enclosing the right angle are perpendicular to each other.

Answer:

D, assuming that the function continues past the line shown

Step-by-step explanation:

There is no reason that the X is ending on either side. There should be arrows on both ends of the graphed function though.

Answer:

  (x, y) = (9, 7)

Step-by-step explanation:

There are numerous ways to find the solution to a system of equations. A quick and easy one is to use a graphing calculator. The attachment shows the solution to be ...

  (x, y) = (9, 7)

__

You can also look for opportunities to do substitution or elimination. Here, the x-coefficients differ by a factor of 2, so it is convenient to subtract twice the first equation from the second. This eliminates the x-variable.

  (-2x -5y) -2(-x -4y) = (-53) -2(-37)

  3y = 21 . . . . . . simplify

  y = 7 . . . . . . . . divide by 3

  -x -4(7) = -37 . . . . . substitute into the first equation

  -x = -9 . . . . . . . . . . . add 28

  x = 9

The solution is (x, y) = (9, 7).

Answer:

-2i.

Step-by-step explanation:

( 1 - i ) ( 1 - i )

= 1(1 - i) - i(1 - i)

= 1 - i - i + i^2

Now i^2 = -1 so we have:

1 - 2i - 1

= -2i        

The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\[/tex]

When t = 0, then the value of the h will be

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9[/tex]

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Answer:

9

Step-by-step explanation:

The answer above is correct.

Answer:

2 1/3

Step-by-step explanation:

if joshua has enough juice than  this is how much he needs

Answer:

197

Step-by-step explanation:

to solve Hypotenuse:

a^2+b^2=c^2

Plug in:

28^2+195^2=c^2

Solve:

784+38025=c^2

38809=c^2

sqrt 38809=sqrt c^2

c=191

I hope it helps!!!

Answer: Times it

Step-by-step explanation:

Answer:

90 square feet

Step-by-step explanation:

area of this figure = area of 1 rectangle + area of 2nd rectangle

= L×B + l × b

= 18 × 3 + 12 × 3

= 54 + 36

= 90 feet²

Answer:

x= -6, -2

Step-by-step explanation:

Answer:

x=-6, x=-2

Step-by-step explanation:

Maria and Sheila total marks are illustrations of proportions

The total marks obtained by both is 156

The given parameters are:

Sheila = 96 marks

2/5 of Maria's marks = 1/4 of Sheila's marks

The second highlight above means that:

2/5 * Maria = 1/4 * 96

Multiply both sides by 5/2

Maria = 1/4 * 96 * 5/2

Evaluate the product

Maria = 60

Their total mark is then calculated as:

Total = Sheila + Mark

This gives

Total = 96 + 60

Evaluate the sum

Total = 156

Hence, the total marks obtained by both is 156

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Step-by-step explanation:

Only the top player with the highest grade can be considered as MVP on the winning team.You can still be considered MVP even if you have less than 10 grade as long as you have the highest grade and your team won the matchYou can only considered MVP-loss if you have the highest grade and you qualify for a gold medalMedals for the winning teamBest case scenario: 1 MVP, 4 GoldWorst case scenario: 1 MVP, 2 Silver, 2 BronzeMedals for the losing teamBest case scenario: 1 MVP Loss, 1 Gold, 2 Silver, 1 BronzeWorst case scenario: 5 Bronze

Answer:

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

An item in one space is mapped to another using a function known as a transformation in mathematics. A geometric shape or other mathematical object is altered by this method by shifting its location, direction, or size. Geometric qualities including symmetry, congruence, and resemblance are studied using transformations. Objects are frequently transformed through translations (moving), rotations (turning), reflections (flipping), and dilations (resizing an object). In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

given

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

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The sequence Tn = an + b is an arithmetic sequence.

b represents the first term, and a represents the common difference

The general term is given as:

Tn = an + b

The above term is an arithmetic sequence.

An arithmetic sequence is represented as:

Tn = T1 + (n - 1)d

Where T1 represents the first term, and d represents the common difference

By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:

b = T1

a = d

This means that b represents the first term, and a represents the common difference

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Answer:

false

Step-by-step explanation:

false

Answer:

Area = 26 sq units

Step-by-step explanation:

If you put the points on a graph then you can see what you are working with. The parallelogram you can just count the squares to find the base and height. base = 6 and height = 1.

A = b • h = 6•1 = 6

To find the lengths of the sides for the rectangle you must use distance formula or pythagorean theorem. I have shown this using Pythagorean theorem. The short side of the rectangle is marked x and calculated to have length sqroot10. See image.

The graph shows the length is twice as long. But I showed a separate calculation also using pythag.thm. to find the length of y, the long side is sqroot40.

Area of rectangle is:

A = b•h OR L×W

A=sqrt10×sqrt40

=20 See image.

Add the areas to get your final answer.

Answer:

160 fluid ounces

Step-by-step explanation:

There are 16 ounces in one pint, therefore multiply the number of pints by 16 to get your answer.

16 * 10 = 160

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Answer:

  $42,782.40

Step-by-step explanation:

You want to know how much more Glados paid than Shaq on a 30-year mortgage if their monthly payments were $755.99 and $637.15, respectively.

Each month, Glados paid this amount more:

  $755.99 -637.15 = $118.84

Over the 360-month life of the 30-year loan, this excess amount adds up to ...

  360 × $118.84 = $42,782.40

Glados pays $42,782.40 more than Shaq for the same loan amount.

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Answer:

Pierre has  £ 146 and

Alex has  £ 106

Step-by-step explanation:

Let the money with Pierre be = p

Let the money with Alex = a

If Pierre gave Alex £20, they would have the same amount.

So, we should subtract £ 20 from p and add £ 20 to a

p - 20 = a + 20

     p    = a + 20 + 20

 p    = a + 40 ----------------(I)

If Alex gave Pierre £22, then Pierre would have twice as much as Alex.

p + 22 = 2*(a -22)

 p + 22 = 2a - 44      

         p  = 2a - 44 - 22

         p = 2a - 66

p -2a    = - 66   -----------------(II)

Substitute p = a + 40 in equation (II)

a + 40 - 2a = -66

 a - 2a + 40 = -66

     -a            = - 66 - 40

              -a  = - 106

      Multiply both sides by (-1)

[tex]\boxed{a = \£ \ 106}[/tex]

Substitute a = 106 in equation (I)

p = 106 + 40

[tex]\boxed{p = \£ 146}[/tex]

Answer:

11/15

Step-by-step explanation:

Answer:

4) a = 6

5) m = 1

Step-by-step explanation:

4) use FOIL, First Inside Outside Last, when you cross multiply.

[tex]\frac{a+4}{a-1} =\frac{a-2}{a-4}[/tex]

[tex](a+4)(a-4) = (a-1)(a-2)[/tex]

I'm going to do the left side first.

[tex](a+4)(a-4)\\a^2-4a+4a-16\\a^2-16[/tex]

Now I'm going to do the right side.

[tex](a-1)(a-2)\\a^2-2a-1a+2\\a^2-3a+2[/tex]

Next I'm going to rewrite back as the equation and solve for a.

[tex]a^2 - 16 = a^2 -3a +2\\a^2 - a^2 -16 = a^2-a^2-3a+2\\-16-2=-3a+2-2\\-18=-3a\\-18/-3=-3a/-3\\a=6[/tex]

5) I'm going to use distributive propoerty when I cross multiply. Then I will setup an equation like number 4 and solve for m.

[tex]\frac{5m-2}{3}=\frac{8-3m}{5} \\[/tex]

[tex]5(5m-2)=3(8-3m)\\25m-10=24-9m\\25m+9m-10=24-9m+9m\\34m-10=24\\34m-10+10=24+10\\34m=34\\34m/34=34/34\\m=1[/tex]

Answer:

Step-by-step explanation:

Complementary angles add to 90 degrees, so the measure of its complement is 90-88=2 degrees.

Supplementary angles add to 180 degrees, so the measure of its supplement is 180-88=92 degrees.

I don't know what you have to do but I'm trying to do my first answer srry

Answer:

I would say the last one..................

As ray UW bisects ( divides the angles into two equal parts )

WUT = WUV

6x - 10° = 4x + 6°

6x - 4x = 6° + 10°

2x = 16°

x = 16° ÷ 2 = 8°

Putting the value of x in the Angle WUT

6 × 8° - 10° = 48° - 10° = 38°