You deposit $200 in an account. The account earns $15 simple interest in 3 years. What is the annual interest rate?

Answer:

It's quite simple, for example, 1/2 would be the same as 50%, 1/3rd would be the same as 33.333333333%, and 1/4th would be the same as 25%

dived the numerator by the denominator.

Simplifying the equation:

We are given the bi-quadratic equation:

9x⁴-3x²+1

to factorise this equation, we will convert it to a quadratic equation and factor it from there

in the given equation, let x² = y

now, the equation looks like:

9y² - 3y + 1

Finding the Factors (in terms of y):

Using the quadratic formula: x = -b±√(b²-4ac) / 2a

replacing the variables in the equation

y = [-(-3) ± √[(-3)² - 4(9)(1)]]/2(9)

y= [3 ± √-27]/18

y = (1 ± √-3 / 6)

The 2 solutions are:

y = (1 + √-3 / 6)        and     y = (1 - √-3 / 6)

Finding the values of 'x':

Since y = x²:

x² = (1 + √-3 / 6)        and     x² = (1 - √-3 / 6)

taking the square root of both sides

x = √(1 + √-3 / 6)        and     x = √(1 - √-3 / 6)

As we can see, the given equation has complex roots and cannot be simplified further

Answer:

im pretty sure if you guessed that you guessed right thats its c i have a small headache but it should be right

Answer:

You are correct, c is the answer.

Step-by-step explanation:

Two hot air balloons.

Balloon one: starts at 30 miles from town and after 2 hours, it is 48 miles

Distance of Tasha's balloon is represented by function y = 8x + 20

x is independent variable so it would represent the time.

y is dependent so it represents the miles travelled.

Balloon one = (0, 30) <-- begins here and (2, 48)

Balloon two = (0, 20).

So balloon one began at 30 miles while tasha's balloon began at 20 miles from town.

So Henry's balloon was farther form the town at the beginning.

Now let's find the slope/rate of change and compare then.

Henry's balloon: y-y1/x-x1 = 48-30/2 = 18/2 = 9

Tasha's balloon m: 8

9>8 Therefore henry was faster

Answer:

490

Step-by-step explanation:

Thanks!

The GCF of the numbers in each term in the expression is 2.

The factored expression is 2 (6 d minus 13 c).

The accurate expression is:

Find out more information about the number here: https://brainly.com/question/17429689?referrer=searchResults

Answer: The GCF of the numbers in each term in the expression is 2.

The factored expression is 2 (6 d minus 13 c).

Step-by-step explanation: im not sure tho

Answer:

$8.28

Step-by-step explanation:

So, first we must find the price per ticket so we do

13.80/5 = 2.76

So the $2.76 per ticket

So now all we do to find the price of three tickets we times the price per ticket by 3

2.76 x 3 = $8.28

Answer:

24 degrees

Step-by-step explanation:

If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.

7+17=24

Answer:

[tex]y = - \frac{ 5}{3} x + ( - \frac{5}{3} )[/tex]

Step-by-step explanation:

-3y=5-6x

y=5-6x÷(-3)

y=(-5/3)+2x

y=2x-(5/3)

At y-intercept x is 0 and y is -(5/3)

Gradient m=10-(-5/3)÷(4-0)

=35/12

y=mx+c

10=(35/12)4+c

c=-(5/3)

Answer:

y =  [tex]-\frac{1}{2}[/tex]x + 12

Step-by-step explanation:

Given expressions:

           Coordinates = (4,10)

  Equation of the line;  6x - 3y = 5

Unknown:

Equation of the line perpendicular = ?

Solution:

 A line perpendicular to the given one will have a negative inverse slope.

  Equation of any given line is expressed as:

              y  = mx + c

y and x are the coordinates

 m is the slope

 c is the intercept

             Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;

   6x - 3y = 5

          -3y = 5- 6x

            y = [tex]-\frac{5}{3}[/tex] + 2x

The slope of a perpendicular line will be [tex]-\frac{1}{2}[/tex]

Also, let us find the y-intercept, c;

         y  = mx + c

         10 =  [tex]-\frac{1}{2}[/tex] x 4 + c

       10 = -2 + c

         c  = 12

The equation of the new line is ;

        y =  [tex]-\frac{1}{2}[/tex]x + 12

Answer:

40˚ degrees

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

Two answers are possible

Step-by-step explanation:

Both are listed below

Answer:

x=3.4 and x=2.5

Step-by-step explanation:

i took an exam and got it right

Answer:

0.075

Step-by-step explanation:

Answer: i really don’t u derstans this

Step-by-step explanation:

Answer:

i think its 1

Step-by-step explanation:

Step-by-step explanation:

let eqn be y = 1/2x + b

sub (-6, 1):

1 = 1/2(-6) + b

b = 4

therefore, eqn is y = 1/2x + 4

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Step-by-step explanation:

C.p=1200

loss percent=25

s.p=?

s.p=100- loss×C.p/100

s.p=100- 25×1200/100

S.p=75×1200/100

s.p=90000/100

s.p=900

Answer:

Thus, the greatest number of rides I can go on is 15 rides

Step-by-step explanation:

I have $35.50 to spend for admission plus rides in the amusement park.

Admission costs $13. That leaves me with

$35.50 - $13 = $22.50

to spend on rides.

Considering each ride costs $1.50, we can find the maximum number of rides by dividing the remaining money by the cost per ride as follows:

$22.50 / $1.50 = 15

Thus, the greatest number of rides I can go on is 15 rides

Answer:

3/21  14%

Step-by-step explanation:

there are 21 houses and 3 are blue

Answer:

b

Step-by-step explanation:

Answer:

n(A) = 3

n(B) = 6

-6 ∈ A => True

-14 ∈ A => False

k ∈ B=> True

Q∈B = >False

Step-by-step explanation:

Given

A is the set of integers greater than - 7 and less than - 3

B={c, h, j, k, v, y}

For set A:

The integers greater than -7 will be -6,-5 ....

As the set has integers less than -3, the set will be:

[tex]A = \{-6,-5,-4\}[/tex]

Cardinalities:

Cardinality is the number of elements in the set.

So,

[tex]n(A) = 3\\n(B) = 6[/tex]

Now for the statements:

-6 ∈ A        True as -6 is a member of set A

-14 ∈ A       False as -14 is not a member of A

k ∈ B          True

Q∈B            False

Hence,

n(A) = 3

n(B) = 6

-6 ∈ A => True

-14 ∈ A => False

k ∈ B=> True

Q∈B = >False

Answer:

The length of a rectangle is 3 times its width.

The perimeter is 92 cm.

Length --> x

Width --> 3x

Area of the rectangle --> y

so

3x·x = y

2(3x)+2x = 92 --> 6x + 2x = 92 -> 8x = 92 --> x =11.5 cm

so

y = 3(11.5)·11.5

y = 396.75 cm²

THE AREA IS 396.75 cm²

Answer:

Step-by-step explanation:

Let Width of rectangle =X

So length of rectangle =3x

Perimeter of rectangle=92

Perimeter of rectangle =2(length +width)

2(length+width)=92

2(3x+X)=92

8x=92

X=92/8

Width X=11.5cm

So length 3x=11.5×3

=34.5cm

Area of rectangle =34.5×11.5

=396.75cm^2

Answer:

4(7)+4(y)

4(y·7)

4(3+4)+4(y)

Step-by-step explanation:

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{Which\ expressions\ are\ equivalent\ to\ 4\times(7\times y)?}[/tex]

[tex]\downarrow\textsf{Your steps on how to solve for your answer}[/tex]

[tex]\mathsf{4\times(7\times y)}\\\mathsf{7\times y=7y}\\\mathsf{4(7y)=28y}[/tex]                    

[tex]\boxed{\boxed{\huge{\text{{Thus your answer is: \boxed{\boxed{\huge\text{\bf{28y}}}}}}}}}\huge}\checkmark[/tex]

[tex]\textsf{We can flip the equation around and that can be another answer}[/tex]

[tex]\boxed{{\mathsf{(\bf{7\times y)\times4}}}} \checkmark[/tex]

[tex]\boxed{\mathsf{\bf{(4\times 7) y}}}\checkmark[/tex]

[tex]\mathsf{Thus, your\ answers\ are:\boxed{ \boxed{\bf{28y} ;\ \ (4\times 7) \timesy\times y; \ \& \ (7\times y) \times 4 }}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]      

~[tex]\frak{LoveYourselfFirst:)}[/tex]