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?

The system of equations that describes the situation is given by these two following equations:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are c and x.

Carlos has 10 more friends than Xavier when they start the competition, hence:

c = 10 + x.

Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends, hence:

2c + 3x = 160.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer: y = [tex]\frac{1}{6}[/tex]x + 2

Step-by-step explanation:

    [1] First, we will graph the points given. See the attachment with [1] in the corner.

    [2] Next, we will find the slope.

    (2a) Using rise over run. See the attachment with [2] in the corner.

    (2b) Use the slope equation:

[tex]\displaystyle \frac{1-3}{-6-6}= \frac{-2}{-12} =\frac{1}{6}[/tex]

    [3] Find the y-intercept. Look to the graph. See the attachment with [3] in the corner.

         This gives us a final answer of y = [tex]\frac{1}{6}[/tex]x + 2

Answer:

I don't see any optional answers, but the denominator must be greater than 12.

Step-by-step explanation:

27,890*(12/X) < 27,890

Therefore (12/X) < 1

and X > 12

Answer:

A , B And D

2/4 divide both numbers by to and you get 1/2

3/6 divide both numbers by 3 and you get 1/2

4/8 divide both numbers by 4 and you get 1/2

Answer:

60 inches

Step-by-step explanation:

Add 59+61 =120 which you divide by 2 for the mean of 60.

Answer: 21/572

[tex]\frac{5.5}{10 . 22} - \frac{4}{52}[/tex]

The dots stand for multiplication

Answer:

well over 3 years and almost over 4 months

Answer:

1.25 kg

Explanation:

============

======

So, 1250 gram = (1250/1000) kg

We know

Now

Mass in kg:-

Option A

Answer:

The second option

Step-by-step explanation:

Hello!

The domain of a graph is the interval in which the graph is on the x values.

This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.

The answer would be the second option: [tex]D : x/x \geq -3[/tex]

The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0

Answer:

The answer is

3a+30

Step-by-step explanation:

I hope this helped

Answer:

1st option, and 4th option

Step-by-step explanation:

Is it select one, or select all that are correct?

Answer:

p = 4

Step-by-step explanation:

Given equation:

[tex]x^2+(p-3)y^2-4x+6y-16=0[/tex]

Standard equation of a circle:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius)

If you expand this equation, you will see that the coefficient of [tex]y^2[/tex] is always one.

Therefore, [tex]p-3=1[/tex]

[tex]\implies p=1+3=4[/tex]

Additional information

To rewrite the given equation in the standard form:

[tex]\implies x^2+y^2-4x+6y-16=0[/tex]

[tex]\implies x^2-4x+y^2+6y=16[/tex]

[tex]\implies (x-2)^2-4+(y+3)^2-9=16[/tex]

[tex]\implies (x-2)^2+(y+3)^2=16+4+9[/tex]

[tex]\implies (x-2)^2+(y+3)^2=29[/tex]

So this is a circle with centre (2, -3) and radius √29

Answer:

Step-by-step explanation:

x is the opposite side of angle 30°

34 is the adjacent side of 30°

So, find the value of x, we have use tan

[tex]\bf \boxed{ tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}}}[/tex]

[tex]tan \ 30^\circ = \dfrac{x}{24} \\\\\\0.58 = \dfrac{x}{24}\\\\\\0.58*24=x[/tex]

x = 13.92

Answer:

2/10 = 1/5

Step-by-step explanation:

It landed five 2 times and you rolled it 10 times

Answer:

4 inches

Step-by-step explanation:

A = b x h

A = 36

b = 9

36 = 9 x h

4 = h

height = 4 inches

Answer:

c and d

Step-by-step explanation:

because

- In f(x),evey time you find  X you write(-6x+5) instead

4x²-----------4(-6x+5)²

3x+1------------3(-6x+5) +1

-In g(x),evey time you find  X you write(-4x² +3x+1)  instead          

Answer:

This is hard

Step-by-step explanation:

I'm so sorry I can't do it

Answer:

[tex]\frac{69}{20}[/tex]

Step-by-step explanation:

[tex]\frac{3}{7} -\frac{11}{4} +\frac{16}{5} +\frac{18}{7}[/tex]

= [tex]\frac{3}{7} +\frac{18}{7}-\frac{11}{4} +\frac{16}{5}[/tex]

= [tex]\frac{21}{7} -\frac{11}{4} +\frac{16}{5}[/tex] As both denominators have 7 you can add their numerators

=[tex]\frac{21}{7} -(-\frac{9}{20})[/tex]     L.C.M

=[tex]\frac{21}{7} +\frac{9}{20}[/tex]   L.C.M

=[tex]\frac{69}{20}[/tex]

Answer:

y = x+2

Step-by-step explanation:

y = mx +c

y-intercept is +2

so y = mx + 2

the slope of the line is one across one up so

y = x+2

Answer:

Step-by-step explanation:

At y-intercept, x =0

So, from the graph, y-intecept = b = 2

Equation of the line: y =mx +b

y = mx + 2

Choose any point on the line and substitue in the above equation and we get the slope(m)

(-2 ,0)

0 = m*(-2) + 2

0 = -2m + 2

-2 = -2m

-2/-2 = m

m= 1

Equation of the line: y = x + 2

Answer:

5/7.

Step-by-step explanation:

The rise = 5 and the corresponding run si 7.

Answer:

5/7

Step-by-step explanation:

so we start at the point (0,0). the slope is essentially

Rise/Run

so in this graph we see a point of (7,5)

the rise was 5 along the y axis and the run was 7 along the x axis.

so 5/7 is correct

Answer:

3w, 4x, 4w, 7y, 7x, 3y,  5w,

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This will have slope in it, so bear with me.

We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)

Lets fill it out.

[tex]\frac{-4-(-1)}{-4-3}[/tex]

It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]

So it is A

Answer:

the answer is B five

Step-by-step explanation:

three hundred and seven minus three hundred and twelve

Answer:

C) 35

Step-by-step explanation:

The answer is C because he sold 80 lemon pies and as the question states ten more than twice the number of apple pies were sold .

Subtract 80 by 10 and divide it by 2

80-10=70÷2 = 35

Answer:

Hi! I'm not too bad at math so I hope I can help you. Except, I can't seem to find your question so please comment your question(s) to me so that I can help you. Have a great day:)

Answer:

48 made a purchase

Step-by-step explanation:

8% of 600

= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )

= 8 × 6

= 48

Answer: 7.07

Step-by-step explanation:

Answer:

the first one is 0.5 inches 1.27 centimeters

the second is 0.25 inches or 0.635 centimeters

Step-by-step explanation:

Answer: C. 0.25

Step-by-step explanation:

Large Shape: S (-4, 12)   T (2, -4)    U (6, -8)   V (-12, -8)

Small Shape: S (-1, 3)   T (0.5, -1)    U (1.5, -2)   V (-3, -2)

For the smaller shape the distance between V and U is 4.5

For the larger shape the distance between V and U is 18

So when you divide [tex]\frac{4.5}{18}[/tex] you should get 0.25

S: [tex]\frac{-4}{-1}=4[/tex]     [tex]-4 *0.25=-1[/tex]

T: [tex]\frac{2}{0.5}=4[/tex]     [tex]2*0.25=0.5[/tex]

U: [tex]\frac{6}{1.5}=4[/tex]     [tex]6*0.25=1.5[/tex]

V: [tex]\frac{-12}{-3} =4[/tex]    [tex]-12*0.25=-3[/tex]

I hope this helps