If your initial principal is $243 and your principal in 2 years is $1,359.19, how much interest did you earn?

Split this figure out. Find the area of the square, as well as the rectangle.

First, the square

A= 4 x 3

A= 12 ft^2

Therefore, the square has an area of 12ft^2.

Then, the rectangle.

We must first find the length of the unknown side.

We have two measurements of 3ft on each side, as well as the middle measurement of 4ft.

So,

3+3+4=10

Now, find the area.

A= 2 x 10

A=20ft^2

Add the areas.

20+12=32ft^2

Therefore, the area of the figure is 32ft^2.

I hope this is correct. Best of luck.

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

Answer:

C Base x Height ÷ 2. 300 ÷ 2 = 150. 150 ÷ 12 .5 is 12.

Answer:

options man?

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12 = 7/14 = 8/16 = 9/18 = 10/20 = 11/22 = 12/24

1/2 = 25/50 = 50/100 = 100/200 = 150/300 = 200/400 = 250/500

Answer:

a sin 30

Step-by-step explanation:

i just need more points

Answer:

Step-by-step explanation:

The rest are incorrect.

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

Answer:

EF=10

Step-by-step explanation:

If they are corresponding,

AB = 2 x Scale factor of 5 = 10

-7 x -12

7x12=84

7+12=19

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

Answer:

it's 47 degree answer of your question

answer:

0

step by step explanation:

Answer:

CFD = 180

EFD= 152

180-152= 28

CFE= 28

Step-by-step explanation:

Answer:

AGIB

Step-by-step explanation:

I solved it eh.

Pretty simple honestly.

But school ends!

Each side and each area were calculated using the Pythagoras theorem.

The Pythagoras theorem states that, in a right triangle, the sum of squares of shorter sides is equal to the square of the hypotenuse.

So, using the Pythagoras theorem

[tex]TU^2=175^2-79^2[/tex]

[tex]TU^2=24384[/tex]

[tex]TU=156.15[/tex]

So, the corresponding area of the rectangle = 156.15*79 =12335.85 square units.

Similarly, [tex]GH = \sqrt{207^{2}-98^2 }[/tex]

[tex]GH=182.33[/tex]

So, the corresponding area of the triangle = 0.5*182.33*98 = 8934.27 square units.

Thus, each side and each area were calculated using the Pythagoras theorem.

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Answer: it’s 24

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

24

Step-by-step explanation:

Answer:

63.5, 66.5

Step-by-step explanation:

Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.

Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.

The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:

[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds

This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

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Answer:

Step-by-step explanation:

Use intersecting chords theorem:

Answer:

roots are [(5 - [tex]\sqrt{73}[/tex]) / 4] and [(5 + [tex]\sqrt{73}[/tex]) / 4]

Step-by-step explanation:

[-b ± √b² - (4ac)] ÷2a

2x² - 5x - 6 = 0

a = 2

b = -5

c = -6

[5 ± √5² - 4(2)(-6)] ÷ 2(2)

[5 ± √25 - (-48)] ÷ 4

[5 ± √73] ÷ 4

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

x - y = -2

2x + y = 5

First, add y on both sides for the first equation.

x = y - 2

Then, plug in x into the second equation.

2(y -2) + y = 5

2y - 4 + y = 5

3y = 9

y = 3.

Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.

2x + 3 = 5

2x = 2

x = 1.

Ans: x = 1, y = 3

Answer:

I believe it is D

Step-by-step explanation:

We can first multiply the 2 and 4 together to get 8.

Wow we already eliminated A.

When you have negative powers, you can just replace it with their inverse and turn the power positive.

For example, 2 to the power of -3  (2 ^ -3) can be replaced by 1/2 to the power of 3 (1/2^-3).

So we now have 8  (x^4 / yx^2

We can then just subtract the x's power of 2, because when dividing exponents with the same variable or base, we can just subtract them.

For example, x^5  divided by x ^ 2 has the same base/ variable of x, and you can subtract the 5 by 2 to get x^3.

So we have 8 ( x^2y)

So 8x^2 y

D.

Answer:

It's 15.70796. Won't go in-depth since time seems to be of the essence

Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

Answer:

10

Step-by-step explanation:

Answer:

400.7 cm^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(x-4)=5         use distributive property

3x-12=5         add 12 to both sides

3x=17             isolate x by dividing both sides by 3

x=5.66 repeating or 5 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3(x- 4) = 5}[/tex]

[tex]\large\textsf{DISTRIBUTE 3 within your parentheses}[/tex]

[tex]\mathsf{3(x) + 3(-4) = 5}[/tex]

[tex]\mathsf{3(x) = \bf 3x}[/tex]

[tex]\mathsf{3(-4)=\bf -12}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x - 12 = 5}}[/tex]

[tex]\mathsf{3x - 12 = 5}[/tex]

[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]

[tex]\mathsf{3x - 12 + 12 = 5+12}[/tex]

[tex]\large\text{CANCEL out: \textsf{-12 + 12} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{5 + 12} because it helps solve for the \textsf{x value}}[/tex]

[tex]\mathsf{5+12=\bf 17}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x = 17}}[/tex]

[tex]\mathsf{3x = 17}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{17}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{17}{3}}\large\text{ because it gives you the \textsf{x value}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{x = \bf \dfrac{17}{3}}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

132 degrees

the side x is 15

bottom right angle is 31.61 degrees

other angle is 58.39 degrees

Answer:

Step-by-step explanation:

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer: 24.67 or D

Step-by-step explanation:

i just took the quiz, goodluck <33

Answer:

take 45 degree as reference angle

using sine rule

sin45=p/h

1/[tex]\sqrt{2}[/tex]=[tex]\sqrt{5}[/tex]/m(do cross multiplication)

[tex]\sqrt{2}[/tex]*[tex]\sqrt{5}[/tex]=m

[tex]\sqrt{10}[/tex]=m

Step-by-step explanation:

Answer:

14*6=18 or add them

Step-by-step explanation:

its either multiply or add them together

By satisfying all the four criteria, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

Based on vectorial expressions, an isosceles trapezoid satisfies the following properties:

(i) [tex]\overrightarrow{CD} = k \cdot \overrightarrow{AB}[/tex], for k ∈ [tex]\mathbb{R}[/tex]    

(ii) AB ≠ CD    

(iii) [tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]  

(iv) AC = BD

Now we proceed to prove each property:

Requisite I

(3 - (-3), 4 - 4) = (6, 0)

(5 - (-5), 0 - 0) = (10, 0)

(6, 0) = (5/3) · (10, 0)

Requisite II

AB = 6, CD = 10

AB ≠ CD

Requisite III

[tex]\overrightarrow{AC} = (2, 4)[/tex]

[tex]\overrightarrow{BD} = (-2, 4)[/tex]

[tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]

Requisite IV

[tex]AC = \sqrt{[-3-(-5)]^{2}+(4-0)^{2}}[/tex]

[tex]AC = \sqrt{2^{2}+4^{2}}[/tex]

[tex]AC = 2\sqrt{5}[/tex]

[tex]BD = \sqrt{(3-5)^{2}+(4-0)^{2}}[/tex]

[tex]BD = \sqrt{(-2)^{2}+4^{2}}[/tex]

[tex]BD = 2\sqrt{5}[/tex]

AC = BD

The figure with the entire quadrilateral is shown below. Therefore, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

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Answer:

you are right click on 32 °