Calculate the amount of simple interest you would pay on a loan of 20000 dollars at a rate of 5.6% per annum for three years?

Answer:

26/12

simplify—>13/6

Step-by-step explanation:

Find the LCD (lowest common denominator)

The LCD of these two fractions is 12. Convert them to their denominators.

5/3 *4/4 = 20/12

2/4 *3/3= 6/12

Then add! 6/12 + 20/12 = 26/12

Simplify —> 13/6

Answer: Choice D)  [tex]\sqrt{2}:1[/tex]

Explanation:

The diagram shows the hypotenuse is [tex]6\sqrt{2}[/tex] units long and the leg is 6 units long. This forms the ratio [tex]6\sqrt{2}:6[/tex] where the hypotenuse is listed first. This is because it's mentioned first in the instructions (when compared to the other side 6).

We then divide both parts of the ratio [tex]6\sqrt{2}:6[/tex] by 6 to end up with the final answer [tex]\sqrt{2}:1[/tex]. This ratio says "the hypotenuse is exactly [tex]\sqrt{2}[/tex] times that of the leg length". This only applies to 45-45-90 triangles.

Option D is correct, √2 : 1 represents the ratio of the hypotenuse to the given side.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right triangle.

6√2 is the hypotenuse of the triangle.

We have to find the ratio of the  hypotenuse to the given side.

Let the adjacent side length is 6.

The ratio is hypotenuse by the side length

6√2/6

The 6 on numerator and denominator will be cancelled.

√2/1

Hence, √2 : 1 represents the ratio of the hypotenuse to the given side.

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Answer:

i think your answer is 8.

Answer:

6.

Step-by-step explanation:

The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.

source: https://socratic.org/questions/whats-the-absolute-value-of-6

i hope this helps!

Answer:

6

Step-by-step explanation:

Absolute value of -6 = 6

Absolute value refers to only the distance from the origin and not the direction. So, always it is positive

The radius of the given circle is 13 unit.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

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Answer:

7 times the value of 2,304 times 681

Step-by-step explanation:

✨

Answer:

it is a

Step-by-step explanation:

hope it helps

Answer:

17 feet

Step-by-step explanation:

cos = adj/hyp

cos60 = adj/34

34 * cos60 = adj

adj = 17

In short, all you need to do is change "diameter" to "radius" in question 2. Other than that, you're perfect.

Answer:

7x + 8

Step-by-step explanation:

15x + 10 - 8x + 8

combine like terms

7x + 8

Answer:

$357

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

1/3*3/5*(2*1/4)

1/3*3/5*9/4

(1*3*9)/(3*5*4)=27/60 = 9/20

Answer:

[C] 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Limits

Derivatives

Definition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{h \to 0} \frac{f(3 + h) - f(3)}{h}[/tex]

[tex]\displaystyle f(x) = x^3[/tex]

Step 2: Solve

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:(-1,3)B

Step-by-step explanation:

just graph on desmos

Answer:

1) OTT

2) PGF

3) RBT

4) YGT

5) 24 different ways.. I just counted the total number of combinations.

6) 1/24 since there are 24 different outcomes and PBF is just one.

Answer:

The area of the figure is 61.24 cm

Step-by-step explanation:

The area for the parallelogram is determined by base x height, so 7 x 6 = 42.

The area of a circle is [tex]\pi[/tex]r², with r being the radius, so that means the circle area is 38.48, but because its a semicircle, its half of that, so the area is 19.24.

42 + 19.24 = 61.24

Answer: [tex]1\dfrac{3}{8}\ \text{inch}[/tex]

Step-by-step explanation:

Given

Rainfall in September is [tex]\frac{7}{8}[/tex] inch

Rainfall in October is [tex]2\frac{1}{4}[/tex] inch

Convert mixed fraction into fraction

[tex]\Rightarrow 2\dfrac{1}{4}=\dfrac{9}{4}\ \text{inch}[/tex]

Difference between the two gives that how much more rain fall in October compared to September

[tex]\Rightarrow \dfrac{9}{4}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{18-7}{8}\\\\\Rightarrow \dfrac{11}{8}\ \text{inch or}\\\\\Rightarrow 1\dfrac{3}{8}\ \text{inch}[/tex]

Answer:

a. $25 + ($0.20 × 150) = $25 + $30 = $55

b. $145 ÷ $0.20 = 725 miles

Given:

Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, Lamont finished in 100 minute.

To find:

Who had the faster time?

Solution:

We know that,

1 hour = 60 minutes

Time taken by Brooke = 1 hour 50 minutes

                                     = 60 minutes + 50 minutes

                                     = 110 minutes

Time taken by Lamont = 100 minutes.

Since the time taken by Lamont is less than the Brooke, therefore Lamont had the faster time.

Answer:

(3-x) is the other factor.

Step-by-step explanation:

The given function is :

[tex]F(x)=-x^{2}+7x-12[/tex]

One of the factor is (x-4)

We need to find the other factor.

It can be solved as follows :

[tex]F(x)=-x^{2}+4x+3x-12\\\\=(-x+3)(x-4)[/tex]

So, the other factor is (3-x).

Answer:

√139

Step-by-step explanation:

a = 2(7*9+7*3+9*3) = 222 v = 7*9*3 = 189 d = √(7^2+9^2+3^2) = √139

Answer:

3.06

Step-by-step explanation:

3 is in the ones place, then theres the decimal, the tenths place, and the hundredths place. When rounding, you must make the number larger when its 5 or over. So the answer is 3.06

Answer:

3.055 rounded to the nearest hundredth = 3.06

Answer:

A

Step-by-step explanation:

Some photos look cut off but from what I can see the trend line in graph A fits the best since the line is the correct slope and captures the most data points out of all the answers.

Graph (A) shows the best fit of the line because it has a positive slope and the line is very close to the dots, option (A) is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have a dot plot shown in the picture.

As we can see in the given picture, the values of independent and dependent variables increase, which means the slope of the line should be positive.

In graph (A) the line of the best fit is very close to the dots and best describes the data.

Thus, graph (A) shows the best fit of the line because it has a positive slope and the line is very close to the dots option (A) is correct.

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Answer:

c=(0,–3) , R= 4

choose (B)

Answer:

The completed ordered pair are;

(0, 1), (-1, -1), and (1, 3)

Step-by-step explanation:

The ordered pair, (x, y), presents the corresponding values of 'x' and 'y' based on a given relationship, or equation

The given relationship between 'x', and 'y' is, y = 2·x + 1

Therefore, given that the x-values (first of two values, separated by the coma) are given, we have;

In the given incomplete pair (0, ), when x = 0, therefore, y = 2 × 0 + 1 = 1

The complete ordered pair is (0, 1)

Similarly, for (-1, ), we have;

When x = -1, y = 2 × (-1) + 1  = -1

The complete ordered pair is (-1, -1)

We also have for the incomplete pair, (1, )

When x = 1, y = 2 × 1 + 1 = 3

The complete ordered pair is (1, 3)

The completed ordered pair for the equation, y = 2·x + 1, are therefore;

(0, 1), (-1, -1), and (1, 3).

Answer:

8(n-2)

Step-by-step explanation:

Difference means subtraction

Times is multiply

First find the difference of n and 2

(n-2)

Then multiply by 8

8(n-2)

Answer:

a

Step-by-step explan

Answer:

it's C I took the test and put a and got it wrong

Step-by-step explanation:

Answer:

A.

[tex] - 1 \frac{1}{3} [/tex]