SIMPLE INTEREST

Interest = $40
Principal = $400
Interest rate = ?
Time = 2 years

6x - 2 + 2x = -2 + 4x + 8

Simplifying

6x + -2 + 2x = -2 + 4x + 8

Reorder the terms:

-2 + 6x + 2x = -2 + 4x + 8

Combine like terms: 6x + 2x = 8x

-2 + 8x = -2 + 4x + 8

Reorder the terms:

-2 + 8x = -2 + 8 + 4x

Combine like terms: -2 + 8 = 6

-2 + 8x = 6 + 4x

Solving

-2 + 8x = 6 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x

-2 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0

-2 + 4x = 6 + 0

-2 + 4x = 6

Add '2' to each side of the equation.

-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0

0 + 4x = 6 + 2

4x = 6 + 2

Combine like terms: 6 + 2 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

Answer:

$150

Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150

Answer:

22,950

Step-by-step explanation:

subtract 51,550 and 28,600. 0 - 0 = 0 then 5-0=5 5-6 you can not do so you barrow from the 1. 1 becomes 0 and 5 becomes 15. 15-6=9. 0-8 you can not do so you need to borrow from the 5. 5 becomes 4 and 0 becomes 10. 10-8=2. Finally, 4-2=2. Put is all together and you have 22,950.

Answer:

[tex]\frac{1}{2\sqrt{5} }[/tex]

Step-by-step explanation:

Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y

sin(y) = [tex]\frac{x}{6}[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)

[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]

cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]

          = [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]

          = [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]

Therefore, from equation (1),

[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]

Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]

At x = 4,

[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]

[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]

                   [tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]

                   [tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]

                   [tex]=\frac{1}{\sqrt{20}}[/tex]

                   [tex]=\frac{1}{2\sqrt{5}}[/tex]

Answer:

Undefined

Step-by-step explanation:

We see that the domain of f is (-5,5], where ( means not included, ] means included.

Therefore, since -5 is not in the domain, the value is undefined.

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The answer is A because 11+14=25 and you multiply 25 by 11 to see it equals 275.

Answer:

-11

8 = 2x + 30

8 - 30 = -22

-22 ÷ 2 = -11

x = -11

Also if you place 2×(-11) + 30 you get 8

Answer:

Step-by-step explanation:

75+[(75*4)/100]=75+3=78

Answer:

300 tiles.

Step-by-step explanation:

First, you divide 195 by 65 to get what 1% is. 195/65 = 3. 1% is 3. Then you multiply 3x100 because there is 100%. So that is 300 and that's why there are 300 tiles in total. Hope this helped! :)

Step-by-step explanation:

4 cups of orange juice + 3 cups of cranberry juice = 7 cups of fruit punch

28 = 4 * 7 so all you would need to do is multiply the number of cups by 4

4( 4 cups of orange juice + 3 cups of cranberry juice = 7 cups of fruit punch)

16 cups of orange juice + 12 cups of cranberry juice = 28 cups of fruit punch

I hope this helps!!!!

I really tried my best to explain so please let me know if this did or did not make sense

Have a nice day!!!

Answer: 3y is the coefficient.

Step-by-step explanation: A coefficient is numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or, to put it simpler, a coefficient is a number with an variable next to it.

Answer: (5,3)

Step-by-step explanation:

Answer:

k = 2

Step-by-step explanation:

Based on the right triangle altitude theorem, thus:

4 = √(k*8)

Square both sides

4² = k*8

16 = 8k

Divide both sides by 8

16/8 = 8k/8

2 = k

k = 2

Answer :

The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex]

Explanation :

Given that,

A 7-by-7 foot rug is shown in figure.

Suppose, all parts are equal.

The area of rug is

[tex]A_{r}=7\times7[/tex]

Area of one part of rug is

[tex]A'_{1}=3.5\times3.5[/tex]

We need to calculate the probability that the coin will land on an area that is white

Using formula of probability

[tex]P=\dfrac{Area\of\ white\ part}{Area\of\ total\ rug}[/tex]

Put the value into the formula

[tex]P=\dfrac{(3.5\times3.5)+(3.5\times3.5)}{7\times7}[/tex]

[tex]P=\dfrac{2\times3.5\times3.5}{7\times7}[/tex]

[tex]P=\dfrac{1}{2}[/tex]

Hence, The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex].

Answer:

equation : 2x + 4 = 3x - 5

X = 9

BC = 22

The equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.

In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is square ABCD and AB = 2x + 4 and CD = 3x - 5

Now -

AB = CD

Equation will be -

2x + 4 = 3x - 5

4 + 5 = 3x - 2x

x = 9

and

AB = BC = CD = AD = 2x + 4 = 2 x 9 + 4 = 22

BC = 22

Therefore, the equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.

To solve more questions on square, visit the link below -

https://brainly.com/question/1603804

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Given:

The equation is

[tex]3x+4y=24[/tex]

To find:

The x- and y-intercepts of the given equation.

Solution:

We have,

[tex]3x+4y=24[/tex]

Putting x=0, we get

[tex]3(0)+4y=24[/tex]

[tex]0+4y=24[/tex]

[tex]y=\dfrac{24}{4}[/tex]

[tex]y=6[/tex]

Therefore, the y-intercept of the given equation is 6.

Putting y=0, we get

[tex]3x+4(0)=24[/tex]

[tex]3x+0=24[/tex]

[tex]x=\dfrac{24}{3}[/tex]

[tex]x=8[/tex]

Therefore, the x-intercept of the given equation is 8.

Answer:

8

Step-by-step explanation:

here,

4x+4=9x-36

or,4+36=9x-4x

or,40=5x

or40/5=x

or,8=x

x=8

Answer:

f(-2)=45

Step-by-step explanation:

f(x)=5(x+11)

x= -2

so basicly its just 5(-2+11)

which is -10+55 and that is 45

so f(-2)=45

Considering the given function, it is found that the numeric value at x = -2 is of f(-2) = 45.

The function is defined by:

f(x) = 5(x + 11).

Hence, when x = -2, we have that:

f(-2) = 5(-2 + 11) = 5 x 9 = 45.

More can be learned about functions at https://brainly.com/question/25537936

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Answer:

Step-by-step explanation:

1)  5

2)  63

????

Answer:

Step-by-step explanation:

plug in 4 for x then simplify

= 2(4) + 1

= 8 + 1

= 9

hope this helps <3

Answer: f (4) = 9

Step-by-step explanation:

f (x) = 2x + 1

f (4) = 2 (4) + 1

f (4) = 8 + 1

f (4) = 9

Answer:

16.

x<5

hope this helps!!:)

Step-by-step explanation:

Answer:

506 $

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is nothing shown, I’m sorry we can’t answer without numbers