To save for your retirement you plan to set aside $10,000 per year in a portfolio that earns 10% a year. If you make your first saving contribution one year from now, how much will you have at the end of 30 years?

Step-by-step explanation:

1)

d² = (6-1)²+(3-1)²

or, d² = 5²+2²

or, d² = 25+4

so, d² = 29

so, d = 5.4 units

2)

d² = (4+2)²+(3-1)²

or, d² = 6²+2²

or, d² = 36 + 4

so, d² = 40

so, d = 6.3 units

3)

d² = (3-1)²+(-2-1)²

or, d² = 2²+(-3)²

or, d² = 4+9

or, d² = 13

so, d = 3.6 units

Answer:

1) 5.4       2) 6.3        3) 3.6

Step-by-step explanation:

Formula to find distance: [tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]

1) coordinates = ( 1 , 1 ) , ( 6 , 3 )

   distance = √(6-1)²+(3-1)²

                  = 5.4

2) coordinates = ( -2 , 1 ) , ( 4 , 3 )

      distance   = √(4--2)²+(3-1)²

                       = 6.3

3) coordinates = ( 1 , 1 ) , ( 3 , -2 )

      distance = √(3-1)²+(-2-1)²

                      = 3.6

Answer:

3.0928%

Step-by-step explanation:

If you need to round, do so :)

Answer:

2200% is the precentage

Answer:

Answer: 8 & 20

Step-by-step explanation:

160=xy

x*2.5=y

x=8 y=20

Answer:

13x - 49 / 3

Step-by-step explanation:

Answer:

The plant will grow 15 inches in 10 months.

Step-by-step explanation:

The given information is 6 inches = 4 months, and that may not sound like much but we can get the answer just from that tidbit.

Cross multiply :

[tex]\frac{6 inches}{4 months}[/tex] = [tex]\frac{x}{10 months}[/tex]

4x = 60

Divide by 4 on both sides.

x = 15.

Therefore the plant will grow 15 inches in 10 months. Please mark brainliest! :)

Try this option:

1) vector AB=(2;3;6).

[tex](X_B-X_A;Y_B-Y_A;Z_B-Z_A); \ => (4-2;2+1;3+3); \ =>(2;3;6).[/tex]

2) |AC|=9.

[tex]|AC|=\sqrt{(X_C-X_A)^2+(Y_C-Y_A)^2+(Z_C-Z_A)^2}=\sqrt{(6-2)^2+(3+1)^2+(4+3)^2}=\sqrt{81}=9.[/tex]

From the amounts that are given, the ratio of the earnings will be 3:2:1.

From the information, the eldest earns R270, the middle child earns R180 and the youngest earns R90.

Therefore, the common factor to the numbers will be 90. Therefore, the ratio will be:

270/90 = 3

180/90 = 2

90/90 = 1

The ratio is 3:2:1.

Learn more about ratio on:

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Answer:

1.    [tex]x[/tex] = 3√10     2.  [tex]x[/tex] = 5      3.   [tex]x[/tex] = 6√2

Step-by-step explanation:

Use Intersecting Secant-Tangent Theorem:

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

1.  In this circle, DB is a tangent and DA is a secant.  They intersect at point D.

So  DB² = DC x DA

    [tex]x[/tex]² = 5 x (5 + 13)

    [tex]x[/tex]² = 90

     [tex]x[/tex] = √90 = 3√10

2.  In this circle, FE is a tangent and FH is a secant.  They intersect at point F.

So  FE² = FG x FH

      10² = [tex]x[/tex] x 20

     100 = 20[tex]x[/tex]

         [tex]x[/tex] = 5

3.  In this circle, NM is a tangent and NP is a secant.  They intersect at point N.

So  NM² = NO x NP

    [tex]x[/tex]² = 4 x (4 + 14)

    [tex]x[/tex]² = 72

     [tex]x[/tex] = √72 = 6√2

#1

#2

#3

Answer:

Step-by-step explanation:

24-11=13

13/2=6,5

11+6.5=17,5

Answer:

D. BGFD

Step-by-step explanation:

D is the only answer that is a side.

We have that the  code outputs are

Generally The Matlab Code mathematically given as

f = [0.00 3.44 6.35 8.31 9.06 8.60 7.12 4.98 2,60 0.39 -1.36 -2.48 -3.00 -3.07 -2.89 -2.68 -260 -2.68 -2.88 -3.06 -3.06 -2.76 -2.11 -1.15 0.00 1;

f_ext = [-flip(f(2:25)); f1; % odd extension of f; plot(f_ext)

N = numel(f_ext); x = linspace(-pi, pi, N)';

b = zeros(4, 1);

for k = 1:4

b(k, 1) = 1/pi • cumtrapz(x, sin(k*x) .* f_ext)(N);; % integral approximation.

end

fprintf("%.2f\n“, b) % print b to stdout

Therefore

We have outputs

For more information on Code visit

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Complete Question

The complete question is Attached below

Answer:

(4 2/7) x (11 1/4) = 48 3/14

Step-by-step explanation:

Answer:

Each box is 15.99

Step-by-step explanation:

Just the divide the total cost by 6

Answer:

Equation : b = $95.94/6

the cost per box is $15.99.

Step-by-step explanation:

For the first question, we need to create an equation to determine the cost per box. Let us assign "b" to represent the cost per box and the solution is shown below:

b= $95.94/6

95.94 divided by 6 is 15.99.

Therefore, the cost per box is $15.99.

Answer:

12 sandwiches

Step-by-step explanation:

If 3 sandwiches cost $20

Then x sandwiches cost $80

3----20

x----80

20x=3 x 80

20x=240

x=240/20

x=12 sandwiches

Answer:

the equation is (2x^9y^n)(4x^2y^10)=8x^11y^20

Step-by-step explanation:

,

Answer:

450 - 2y +1x = 300

Step-by-step explanation:

Answer:

A square root of 11, 3.7, square root of 20, 4.8

Step-by-step explanation:

4.8

√20 = 4.47

3.7

√11 = 3.32

In order from least to greatest,

√11, 3.7, √20, 4.8.

The correct option is A.

Putting numbers in ascending order simply means to do it from smallest to largest.

Given:

We have numbers,

4.8,

square root of 20 = 4.47,

square root of 11 = 3.32

And 3.7.

In order from least to greatest,

√11, 3.7, √20, 4.8.

Therefore, the expression is √11, 3.7, √20, 4.8.

To learn more about the ascending order;

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#SPJ2

Answer:

The rate of change for a line is the slope, the rise overrun, or the change in y over the change in x. The slope can be calculated from two points in a table or from the slope triangle in a graph. The slope is the parameter m in the slope=intercept form of a line: y=mx+b.

                                            Hope This Helped!

Answer:

x = 4

Step-by-step explanation:

6x + 42 and 18x - 6 are alternate angles and are congruent , so

18x - 6 = 6x + 42 ( subtract 6x from both sides )

12x - 6 = 42 ( add 6 to both sides )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

Step-by-step explanation:

V of a cube is s^3

V = 512

s = cube root of (V)

s = cube root of 512 cm^3

s = 8

The area of one face of the cube is s^2

s = 8

Area 1 face = 8^2

Area of 1 face = 64 cm^2

Answer:

1.   x² + y² + 8x - 14y - 35 = 0

2.  x² + y² - 2x - 8y - 47 = 0

3.  x² + y² - 4x - 2y - 116 = 0

4.  x² + y² + 2x + 4y - 20 = 0

5.  x² + y² - 4x - 8y - 52 = 0

Step-by-step explanation:

General equation of a circle is:  x² + y² + 2gx + 2fy + c = 0

with center (-g, -f) and radius √(g² + f² - c)

1.  From inspection:  center (-4, 7)  and radius = √100 = 10

   Therefore, g = 4  and  f = -7

   √(4² + (-7)² - c) = 10  ⇒  65 - c = 100  ⇒  c = -35

   So,  x² + y² + 8x - 14y - 35 = 0

2.  From inspection:  center (1, 4)  and radius = √64 = 8

   Therefore, g = -1  and  f = -4

   √((-1)² + (-4)² - c) = 8  ⇒  17 - c = 64  ⇒  c = -47

   So,  x² + y² - 2x - 8y - 47 = 0

3.  From inspection:  center (2, 1)  and radius = √(11²) = 11

   Therefore, g = -2  and  f = -1

   √((-2)² + (-1)² - c) = 11  ⇒  5 - c = 121  ⇒  c = -116

   So,  x² + y² - 4x - 2y - 116 = 0

4.  From inspection:  center (-1, -2)  and radius = √25 = 5

   Therefore, g = 1  and  f = 2

   √(1² + 2² - c) = 5  ⇒  5 - c = 25  ⇒  c = -20

   So,  x² + y² + 2x + 4y - 20 = 0

5.  From inspection:  center (2, 4)  and radius = √72

   Therefore, g = -2  and  f = -4

   √((-2)² + (-4)² - c) = √72  ⇒  20 - c = 72  ⇒  c = -52

   So,  x² + y² - 4x - 8y - 52 = 0

Answer:

x=12

Step-by-step explanation:

35º+4x+7º=90º

42º+4x=90º

4x=48

x=12

f(x) = { x if x < 4; -x+1 if x ≥ 4.

Answer:

-8

Step-by-step explanation:

Use the notches to gauge where it is, see how it goes from 0 to 2 between notches on the right? Do that back on notches from 0, so 0 -> 2 -> 4 ->6 ->8!

There you go, have a wonderful day!

Answer:

m∠Z1 = 93°

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross.

They are congruent (the same as each other).

Therefore, m∠Z1 = m∠Z2, so if  m∠Z2 = 93° then m∠Z1 = 93°

The measure of ∠1 is 93 degrees

What are vertical angles ?

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are opposite each other and they share the same vertex point.

Vertical angles are always congruent.

Therefore, since ∠1 and ∠2 are vertically opposite angles this means they are congruent.  

Therefore,

∠1 ≅ ∠2

∠2 = 93°

∠1 = 93°

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Answer: -4

Step-by-step explanation:

2.5x = -10

1. divide -10 by 2.5

2. x = -4

Answer:-7

Step-by-step explanation: