. You invest $30,000 and leave it for 50 years. It grows to $361,223. What was the interest rate? Round to the nearest tenth of a percent. Use Growth Equation A = a(1 + r)t or Decay Equation A = a(1 − r)t for #1 - 4. Label all answer with appropriate units. PLEASE HELP THANK YOU

Answer its rhombus

Step-by-step explanation: i took the test

The quadrilateral formed by the taping together of two equilateral

triangles is a rhombus.

The given types of triangles that form the quadrilateral are equilateral

triangles.

Given that the triangles have congruent side lengths, we have;

1) The side lengths of the quadrilateral formed are equal.

2) A pair opposite angles of the quadrilateral formed are equal to the interior angle of an equilateral triangle which is 60°.

3) The other pair of opposite angles are also equal to 60° + 60° = 120°.

The altitude of an equilateral triangle is perpendicular to the base.

Which gives;

4) The diagonals bisect each other at right angles.

Therefore;

The adjacent angles are supplementary

Which gives;

5) The opposite sides are parallel.

The above properties are the properties of a rhombus

Therefore;

Learn more about rhombus here:

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Answer:

22 : 121

Step-by-step explanation:

2 + 11 = 13

143 / 13 = 11

2 × 11 = 22

11 × 11 = 121

The amount of £143 is divided into two sections that are £22 and £121.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Divide £143 in the ratio 2: 11.

Let the amount of £143 be divided into two sections that are 'x' and 'y'. Then the equations are given as,

x + y = £143           ...1

x / y = 2 / 11           ...2

From equations 1 and 2, then we have

(2/11)y + y = £143

(13/11)y = £143

y = £121

Then the value of 'y' is given as,

x + £121 = £143

x = £143 - £121

x = £22

The amount of £143 is divided into two sections that are £22 and £121.

More about the solution of the equation link is given below.

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Answer:

Step-by-step explanation:

first note: it will be more easy if we solve the inequality first

so let's solve it together

[tex] \frac{2}{3} x - 5 > 3[/tex]

[tex] \frac{2}{3} x > 8[/tex]

[tex]2x > 24[/tex]

[tex]x > 12[/tex]

so what we get

we get that x is greater than 12

Answer:

it's answer is 3x - 3

y + x - 8 + 8x + 4 = 12x - 7

y + 9x - 4 = 12 x - 7

y = 12x -9x - 7 +4

y = 3x - 3

hope it helps you

Answer:

[tex]\Large \boxed{\sf 3x-3}[/tex]

Step-by-step explanation:

Perimeter is sum of all sides

Subtract both given sides from perimeter to get the missing side

[tex](12x-7)-( \ (x-8)+(8x+4) \ )=3x-3[/tex]

Answer:

102 is the answer

Step-by-step explanation:

i hope I'm correct

Answer:

The small box contains 21 cans

Step-by-step explanation:

Represent the small box with S and the large with L.

For Estelle:

[tex]3L + 5S = 170[/tex]

For the boy:

[tex]4L + 4S = 184[/tex]

Required

Determine the cans in the small box

[tex]3L + 5S = 170[/tex] --- (1)

[tex]4L + 4S = 184[/tex] --- (2)

Divide (2) through by 4

[tex]L + S = 46[/tex]

Make L the subject

[tex]L = 46 -S[/tex]

Substitute 46 - S for L in (1)

[tex]3L + 5S = 170[/tex]

[tex]3(46 - S) + 5S = 170[/tex]

Open bracket

[tex]128 - 3S + 5S = 170[/tex]

[tex]128 + 2S = 170[/tex]

Collect Like Terms

[tex]2S = 170-128[/tex]

[tex]2S = 42[/tex]

Divide both sides by 2

[tex]S = 21[/tex]

Hence, the small box contains 21 cans

Answer:

8,000

Step-by-step explanation:

Answer:hope this helps

Thus, it takes 560 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

With regards to the above, since 2hours was spent yesterday , and 4 hours today, the percentage of the increase would be 200%

The reason being that since double of the hours spent yesterday on homework were spent today, hence 200%

Answer:

17pi/72

Step-by-step explanation:

To convert degrees to radians, multiply by pi/360 degrees.

85 ° • pi/360 °

The degrees cancel out and it becomes

85pi/360

Simplify

17pi/72

Answer:

w

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Answer:

$4026.52

Step-by-step explanation:

Given data

rate= 5%

time= 3years

A=$4630.50

P=?

we know that

A=P(1+rt)

$4630.50=P(1+0.05*3)

$4630.50=P(1+0.15)

$4630.50=P(1.15)

P=4630.50/1.15

P=$4026.52

The intitial amount is $4026.52

Answer:

f(x) = 29

Step-by-step explanation:

f(x)=23-(3x0)-(2X0)+6

f(x)=23+6

f(x)=29

Answer:

umm... i belive yes.

Step-by-step explanation:

this is beacuse..

800 opposite wold be -800 right

and then the opposite of -800 wold be 800

so 800 is equal to 800 cus ya

so yes i belve that this is true.

Answer:

A=54

Step-by-step explanation:

A=hb/2

h=12 b=9

12x9=108

108/2

54 Area=54

Answer: (-5,-5) --> (-x,-y)

Step-by-step explanation:

90 degree rotation: (-y,x)

180 degree rotation: (-x,-y)

270 degree rotation: (y,-x)  

Answer:

5 miles per minute

Step-by-step explanation:

20/4 = 5miles

5 miles / minute

Step-by-step explanation:

Given data

let adults be x

and student be y

so

6x+15y= 48-----------1

and

8x+7=38-----------2

solve eqn 1 and 2

6x+15y= 48-----------1X 8

8x+7=38-----------2X 6

48x

+15y= 40

48x+7y= 38

subtract

8y=2

y= 2/8

y= 1/4

y= $0.25

from 8x+7=38

put y= 0.25

8x+7(0.25)=38

8x+1.75= 38

8x=38-1.75

8x=36.25

x=36.25/8

x=$4.5

At the specific domain x = 0. Larger means that graph is above another graph.

At x = 0, we can see that function f covers the function g. Therefore, function f is larger.

This is the same as first question. Look at x = - 3. Notice that the graph of function g is above graph of function f at x = - 3. Therefore function g is larger.

Both graphs have intercepts to each others. Look at both graphs and you will see that f(x)=g(x) when x = -2,2

[tex] \large \boxed {1. \: f(0)} \\ \large \boxed {2. \: g( - 3)} \\ \large \boxed {3. \: x = -2,2}[/tex]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the graph of a function f and g.

Part a)

From the graph, it is clear that:

at x = 0, the value of y of function f is 3.

i.e. f(0) = 3

and

at x = 0, the value of y of function g is 0.5

i.e. g(0) = 0.5

Conclusion:

f(0) = 3

g(0) = 0.5

Therefore,

Part b)

From the graph, it is clear that:

at x = -3, the value of y of function f is -1.

i.e. f(-3) = -1

and

at x = -3, the value of y of function g is 2

i.e. g(-3) = 2

Conclusion:

f(-3) = -1

g(-3) = 2

Therefore,

Part c)

From the graph, it is clear that at x = 2 and x = -2, both the graphs meet.

From the graph it is clear that:

In other words, both graphs are equal at x = 2 and x = -2.

i.e.

f(x) = g(x) at x = 2 and x = -2

Answer:

Nonproportional

Step-by-step explanation:

Hope This Helps

Answer:

4th one is the right answer.

| x | -2 | 1 | 2 | 3 |

| y | -6 | 3| 6 | 9 |

Step-by-step explanation:

The x and y relationship is in the form y=kx and the graph starts from the origin.

Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.

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

Explanation:

Think of the first 3 as 3.0

The exponent -3 tells us to move the decimal point three spaces to the left

So the 3.0 turns into 0.003

We can say [tex]3.0 \times 10^{-3} = 0.003[/tex]

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

Other examples:

[tex]7.2 \times 10^{-2} = 0.072\\\\5.18 \times 10^{-1} = 0.518\\\\6.4 \times 10^{3} = 6400\\\\[/tex]

The negative exponent means "move that many spaces to the left", while the positive exponent has us move the decimal point that many spaces to the right.

Answer:

van=18

bus=59

Step-by-step explanation:

Let v=van & b=bus

1v+6b=372

1v=372-6b

4v+12b=780

Lets divide by 4

1v+3b=195

then

1v=195-3b

substitute in first expression

372-6b=195-3b

simplify

177=3b

b=59

then substitute

1v=195-3(59)

1V=18

Answer:

van=18

bus=59

Step-by-step explanation:

Let v=van & b=bus

1v+6b=372

1v=372-6b

4v+12b=780

Lets divide by 4

1v+3b=195

then

1v=195-3b

substitute in first expression

372-6b=195-3b

simplify

177=3b

b=59

then substitute

1v=195-3(59)

1V=18

Answer:

$4.2

Step-by-step explanation:

1. 12%=0.12

2. 0.12 of $35 = 0.12 × $35

3. = $4.2

Answer:

5

Step-by-step explanation:

The equation is written in point slope form [ y - y1 = m(x - x1) ] where m = slope. "m" in the given equation is 5 which is the slope.

Best of Luck!

Answer:

y-3=5(x-2)

y-3=5x-10

10-3=5x-y

5x-y=7

slope=-(coefficient of x/coefficient of y)=-(5/-1)=5

Answer:

100 will have to be added to both sides to complete the square

Step-by-step explanation:

Given:

x^2+20x+28=0

x² + 20x + 28 = 0

x² + 20x = -28

Using completing the square method of solving quadratic equation

Find the square of half of the coefficient of x

Coefficient of x = 20

Half of the coefficient of x = 20/2

= 10

Square of the half of the coefficient of x = 10²

= 100

Add the square of the half of the coefficient of x to both sides of the equation

x² + 20x = -28

x² + 20x + 100 = -28 + 100

(x + 10)² = 72

Answer:

(x + 3/2)^2 = 121/4

Step-by-step explanation:

khan academy gave me the answer. trust me bro.

Answer:

x^2 + 8x+ 16

Step-by-step explanation:

Answer:

X= R +88

Step-by-step explanation:

X for total peppers