Morgan has an investment that has earned $80,000 in interest after 20 years. If his
original investment was for $50,000 what must the interest rate have been?

Answer:

Step-by-step explanation:

As per given

So combined probability is:

Given that the points on triangle XYZ are, (-2, 12), (6, 4), (-6, -4), and the scale factor and center of dilation are 3/4, and (-2, 8), the coordinates of triangle X'Y'Z' are;

The coordinates of the vertices of the triangle are;

X(-2, 12), Y(6, 4), Z(-6, -4)

The center of dilation = (-2, 8)

The scale factor of the dilation = 3/4

The coordinates of the required image following the dilation are;

(-2 + (3/4) × ((-2 - (-2)), 8 + (3/4) × (12 - 8))

The coordinates of X' = (-2, 11)

The coordinates of Y' are found as follows; (-2 + (3/4) × ((6 - (-2)), 8 + (3/4) × (4 - 8))

The coordinates of Y' = (4, 5)

The coordinates of Z' are found as follows; (-2 + (3/4) × ((-6 - (-2)), 8 + (3/4) × (-4 - 8))

The coordinates of Z' = (-5, -1)

The coordinates of the vertices of the triangle XYZ following a dilation by a scale factor of (3/4) are;

Learn more about dilation transformation here:

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Answer:

make me brainlaiest.....

Answer:

The value of x = 5

The value of z = 107

Step-by-step explanation:

=> (6x+43)° +107° = 180° { linear pair }

=> 6x+43 +107 = 180

=> 6x + 150 = 180

=> 6x = 180-150

=> x = 30/6

=> x = 5

Now solve for z ,

107 = z { Vertically opposite angle }

See below...

(1/8)x = 11

Muliply 8 on both sides...

x = 88

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

Answer:

18

Step-by-step explanation:

perimeter = sum of the lengths of the sides

perimeter = 5 m + 5 m + 2 m + 5 m + 1 m

perimeter = 18 m

Answer:

8 and 4 is the answer!

Answer: • 68.76

• 34.92

Step-by-step explanation:

edmentum answer

Answer:

the 4th table and the last one

Step-by-step explanation:

For Samantha, 2 tick marks east is 120 units east because 1 tick is 60 units.

For Ryu, 8 tick marks west is 480 units west because 1 tick is 60 units.

They are walking to form a line. Just add their distances from 0.

120 + 480 = 600.

--------------------------0----------------------------

Ryu: 480                         Samantha: 120

         480              +             120           =    600.

600 units, or feet.

Answer:

PLz give brainliest

Step-by-step explanation:

Y=60

x=33

The circumference of the Ferris wheel is the product of the diameter and [tex]\pi[/tex]

The circumference equation of the Ferris wheel is C =63 * [tex]\pi[/tex]

The circumference of a circle, when the diameter is given is calculated using the following equation

C = [tex]\pi[/tex]d

The diameter of the Ferris wheel is given as:

d = 63 feet.

So, we have;

C = [tex]\pi[/tex] * 63

Rewrite as:

C =63 * [tex]\pi[/tex]

Hence, the circumference equation of the Ferris wheel is C =63 * [tex]\pi[/tex]

Read more about circumference at:

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Answer:

500g

Step-by-step explanation:

since she brought 2 kg of sweets, and distributed to her classmates, that means we wil sustract 2 from 1,5 and that will be 0.5 or 500g

I hope I helped you! :)))

Answer:

500g

Step-by-step explanation:

She initially had 2 kg and gave away 1 kg 500 to her classmates

1000 g = 1 kg

500 g   = ?

500 g = half a kilogram

So, 1kg 500g is 1.5 kg

So, to get how much sweets were left with her, we subtract 1.5 kg from 2 kg.

2 - 1.5 = 0.5 kg

So, she was left with 0.5 kg or 500g of sweets

Given:

The sequence is 29, 22,​ 15, 8,​ 1, ...

To find:

The common difference.

Solution:

We have,

29, 22,​ 15, 8,​ 1, ...

It is an AP.

First term : [tex]a_1=29[/tex]

Second term : [tex]a_2=22[/tex]

Now,

Common difference : [tex]d=a_2-a_1[/tex]

[tex]d=22-29[/tex]

[tex]d=-7[/tex]

Therefore, the correct common difference is -7.

Note: Here calculation by student is not given, so we cannot find the error of the student.

Hey there!

[tex]\fbox{2x²+16x-7}[/tex]

[tex]\fbox{2(x + 4)² - 39}[/tex]

Frank's average speed is the rate of the distance traveled and the time

Frank's average speed is 6.58 miles per hour

The given parameters are:

Distance = 5.3 kilometers

Time = 30 minutes

The average speed is then calculated as:

Average speed = Distance/Time

Substitute known values

Average speed = 5.3km/30 minutes

Convert time to hours

Average speed = 5.3km/0.5 hour

Convert the distance to miles

Average speed = 3.29 miles/0.5 hour

Evaluate the quotient

Average speed = 6.58 miles per hour

Hence, Frank's average speed is 6.58 miles per hour

Read more about average speed at:

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Answer:

3 to 1

Step-by-step explanation:

It is divided by 3.

Answer:

The constant of proportionality is 4.5

Step-by-step explanation:

To demonstrate the constant of proportionality, we typically use variable k. The equation can look like y/x=k or y=kx
y/x=k
9/2= 4.5

The constant of proportionality is 4.5.

To check the work, we can use the other equation, y=kx.

y=kx

y=4.5(2)

y= 9

Answer:

6 stuffed animals

Step-by-step explanation:

if 1/4= 1 then 1x6= 1 1/2

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

Answer:

[tex]\frac{\sqrt{2} }{2\\}[/tex]

Step-by-step explanation:

A triangle has a total of 180° (B is a 90° angle)

Take 180° - 90° to find the angle of A + C which equals 90°

take 90°/2 to get the angle of C which is 45°

and to check that take 45°+45°+90°= 180°

Now...

cos (C)

cos(45°) = [tex]\frac{\sqrt{2} }{2}[/tex] [Answer]

Please rate!!

Answer:

Option C: Copying an angle

Step-by-step explanation:

Angle bisector is a line through an angle that will split that angle to 2 equal angles. Thus, option A is wrong as no angle is being split.

Copying an angle involves reproducing a particular angle in another construction. The image shows us that there is an attempt to reproduce the perpendicular angle of 90°. Thus, option B is correct.

Copying a line segment involves creating the exact size of line in another construction. The image doesn't depict that. Thus option C is wrong.

Perpendicular bisector is when we draw a perpendicular line through a horizontal one to divide it into 2 equal parts. This is not the case here. Thus, option D is wrong.

Answer:

-7 & 1

Step-by-step explanation:

[tex] - 7 \times 1 = -7 \\ \\ - 7 + 1 = - 6[/tex]

Hope it helps you in your learning process.

Answer:

300<d<700

Step-by-step explanation:

Answer:

300 < d < 700

Step-by-step explanation:

we know thatin the triangle ABCAB=500 milesBC=200 milesAC=xApplying the Triangle Inequality Theorem1) 500+200 > x------> 700 > x------> x < 700 miles2) 200+x > 500----> x > 500-200------> x > 300 milesthe solution for x is 300 < x < 700

Answer:

Step-by-step explanation:

Find the slope of the line between (5,5)and (1,0) using m=(y2-y1)/(x2-x1)

which is the change of y over the change of x.

m=5/4

Use the slope 5/4 and a given point (5,5) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1), which is derived from the slope equation m=(y2-y1)/(x2-x1)

y-5=5/4*(x-5)

Simplify the equation and keep it in point-slope form y-5=5/4*(x-5)

Solve for y.

y=5x/4-5/4

Reorder terms.

y=5/4 x-5/4

List the equation in different forms.

Slope-intercept form: y=5/4 x-5/4

Point-slope form: y-5=5/4*(x-5)

graphing

f ( 5 )

y =  f ( x )

Step-by-step explanation:

plug in the values of x in the function

1. 58

2. 90

3. 148

4. 180

Answer:

x= -3

Step-by-step explanation:

I do not have one sorry,

Answer:

44.4°

Step-by-step explanation:

Two complementary angles add up to 90°. Let's call one of the two x, and the second 90-x (in fact, [tex]x+(90-x) = 90[/tex]).

At this point we can use the second condition: the first angle, plus 1.2°, is equal to the complementary.

[tex]x+1.2=90-x \rightarrow 2x=88.8 \rightarrow x = 44.4[/tex]

Answer:

[tex]\cot(\theta)=\sqrt{2}[/tex]

[tex]\implies \dfrac{1}{\tan(\theta)}=\sqrt{2}[/tex]

[tex]\implies \tan(\theta)=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\implies \theta=35.26438968...\textdegree \pm180\textdegree n[/tex]

[tex]\implies \theta=215.26438968...\textdegree[/tex]

⇒ Opposite side to angle = 1,  Adjacent side to angle = √2

⇒ Hypotenuse = √(1² + √2²) = √3

[tex]\implies \cos(\theta)=\dfrac{A}{H}=-\dfrac{\sqrt{2}}{\sqrt{3}}=-\dfrac{\sqrt{6}}{3}[/tex]

[tex]\implies \sin(\theta)=\dfrac{O}{H}=-\dfrac{1}{\sqrt{3} }=-\dfrac{\sqrt{3}}{3 }[/tex]

[tex]\implies \tan(\theta)=\dfrac{O}{A}=\dfrac{1}{\sqrt{2}} = \dfrac{\sqrt{2}}{2}[/tex]