6% Sumple interest per annum.

Calculate.

1) The interest, in dollars,

earned after six months

well, keeping in mind that a year has 12 months, that means 6 months is 6/12 of a year, so

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1498\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (1498)(0.06)(\frac{1}{2}) \implies I = 44.94[/tex]

x2Step 2 of 2: Determine the degree and the leading coefficient of the polynomial.￼Degree:. Leading Coefficient

Given the following question:

(incomplete question)

To **determine the degree of a polynomial** we have to find the highest power IN the polynomial.

Example:

[tex]\begin{gathered} 4x^2+5^6-9 \\ \text{Degree of the polynomial is 6 } \end{gathered}[/tex]**Since 6 is the highest power in the polynomial.**

To find the **leading coefficient of a polynomial** is the first coefficient (number placed before a variable) in the polynomial.

Example one:

[tex]\begin{gathered} 4x^2+5^6-9 \\ \text{ Leading coefficient is 4} \end{gathered}[/tex]**Since 4 is the first coefficient in the polynomial.**

Example two:

[tex]\begin{gathered} x^2+3x-7 \\ \text{ Leading coefficient is 3} \end{gathered}[/tex]**Since 3 is the first coefficient in the polynomial.**

What type of angle is this? A. Straight angleB. Supplementary C. Complementary

Recall that when two angles add to give 90 degrees, they are called "complementary angles" This is the case here where you are adding an unknown angle to one that measures 51 degrees to obtain a right angle (90 degrees)

The unknown angle (?) is called the "complementary angle to the 51 degree one.

Please select the third option :

C. Complementary.

Do you remember how it looks an angle that measures 90 degrees? It looks like the angle formed by a square edge, or by two lines that are perpendicular to each other.

When you have two angles one in contact (adjacent) to the other and the two together complete a right angle , those two angles are called **complementary angles**. There is nothing profound to derive from that, but that it is simply a definition.

What is the measure of angle y

**Answer:**

In order to answer this question, you have to import and attachment to be more clear

АD✓32What points in Triangle 2 correspond to points A, B,and C in the original triangle?BSubin7:4610/5

Since the original triangle, which is triangle 1 has points A, B, and C.

The points in triangle 2 that corresponds to points A, B, and C are:

Points C, D, and A

Point C corresponds to point A

Point D corresponds to point B

POint A corresponds to point C

**ANSWER:**

**Points C, D and A**

List the common factors of 4, 36, 58, and 1000.

Common factors: 1, 2.

factors of 4 are: 1, 2, 4

factors of 36 (up to 4) are: (1, 2, 3, 4), 6, 9, 12, 18, 36

factors of 58 (up to 4) are: (1, 2), 29, 58

Factors of 1,000 (up to 4) are: (1, 2, 4), 5, 8, 10, etc…

Common factors mean that each number must have that factor, like each number having a common factor of 1. If only two of the listed numbers have a common factor, we won’t include it.

The largest factor of 4 is 4, so we cannot go higher than that for the possible common factors.

4, 36, 58, and 1,000 have common factors of:

1 and 2.

factors of 4 are: 1, 2, 4

factors of 36 (up to 4) are: (1, 2, 3, 4), 6, 9, 12, 18, 36

factors of 58 (up to 4) are: (1, 2), 29, 58

Factors of 1,000 (up to 4) are: (1, 2, 4), 5, 8, 10, etc…

Common factors mean that each number must have that factor, like each number having a common factor of 1. If only two of the listed numbers have a common factor, we won’t include it.

The largest factor of 4 is 4, so we cannot go higher than that for the possible common factors.

4, 36, 58, and 1,000 have common factors of:

1 and 2.

what are the ratio and decimals for sin a ,cos a,tan a

1. Sin A

[tex]\begin{gathered} \sin A=\frac{15}{21} \\ \sin A=0.714 \end{gathered}[/tex]2. Cos A

[tex]\begin{gathered} \cos A=\frac{16}{21} \\ \cos A=0.761 \end{gathered}[/tex]3. Tan A

[tex]\begin{gathered} \tan A=\frac{15}{16} \\ \tan A=0.937 \end{gathered}[/tex]4. Sin B

[tex]\begin{gathered} \sin B=\frac{16}{21} \\ \sin B=0.761 \end{gathered}[/tex]5. Cos B

[tex]\begin{gathered} \cos B=\frac{15}{21} \\ \cos B=0.714 \end{gathered}[/tex]6. Tan B

[tex]\begin{gathered} \tan B=\frac{16}{15} \\ \tan B=1.066 \end{gathered}[/tex]45^2 ÷ 78 = ????????

[tex]\frac{(45)^2}{78}[/tex]

To solve the problem find the value of (45)^2 at first

[tex](45)^2=2025[/tex][tex]\frac{2025}{78}=25\text{ R75}[/tex]The answer is **25** with the remainder **75**

You can simplify the fraction to be 25/26

[tex]25\frac{25}{26}[/tex]HELP! Use the graph to determine the behavior of the function between the indicated points.

The **behavior **of the **function **is given as follows:

A **function **from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's **domain**, while the set Y is known as the function's **codomain**.

**End behavior **of a function f defines the behavior of the function's graph at the "ends" of the x-axis. Said differently, the end behavior of a function explains the **graph's trend **when we look at the right end of the x-axis (as x approaches +∞) and the left end of the x-axis (as x approaches -∞).

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The **curve** of the **function** for the **segments** AB, BC, CD, and DE is decreasing, constantly increasing, and decreasing respectively.

Given that,

A graph has been shown the behavior of the graph is to be discussed.

When a **function **is graphed, the function must show something likewise **increasing**, **decreasing**, and **contant relationship**.

Here

As per the observation, the graph starts from A and seems to be decreasing up to B and further it is Constant up to C and then increases up to D, afterward it is decreasing up to E.

Thus, the **curve** of **function** for the **segments** AB, BC, CD, and DE is decreasing, constantly increasing, and decreasing respectively.

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Part B

? Question

The volume of the rectangular prism is the product of its length, width, and height.

What is the volume of the rectangular prism in simplest terms?

Type the correct answer in the box. Use numerals instead of words.

**Answer:**

**Step-by-step explanation: i really**

The wholesale price for a bookcase is $144. A certain furniture store marks up the wholesale price by 23%. Find the price of the bookcase in the furniture store.

Round your answer to the nearest cent, as necessary.

**Answer:**

177.12

**Step-by-step explanation:**

multiply 144 by 0.23 = 33.12

add 33.12 to 144

awnser is 177.12

Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 6.

**Given:** the geometric sequence whose common ratio is 1/3 and whose first term is 6.

**Find:** 9th term of the geometric sequence

**Explanation: **

**Final answer**: the required answer is

determine if the table is linear, if so, write an equation for the linear table.

If the table is linear we can find an equation in the form

[tex]y=mx+b[/tex]in which b is the y-intercept and

The height of a Ferris wheel in feet can be represented by the function y = 50 cos ((-10)) + 52, with time in seconds. What is the maximum height, and at what interval does the height repeat on the interval 0 <x< 50?

Mate I think you forgot to add t somewhere in the function

This height remains constant as there is no t in the function so it’s not rlly varying with time, but assuming there was a t, just differentiate and equate to 0 for max height

This height remains constant as there is no t in the function so it’s not rlly varying with time, but assuming there was a t, just differentiate and equate to 0 for max height

help pls for my freind!!!

uhm…. that’s not english..

Scale 15/25 by the factor of 0.2.

**Answer:**

0.12

**Step-by-step explanation:**

15/25 as a decimal is 0.6

0.6(0.2) Time 0.6 by the scale factor to get 0.12.

6. If UV bisects XY at point W, which statements must be true?A. UW= WVB. WX = YWC. UV-UW= VWD. W is the midpoint of XYE. U, X, and Yare collinearHC

**Answer:**

B, C and D.

**Explanation:**

If UV bisects XY at point W, we have the diagram below:

As can be seen, the point W divides XY into two equal parts: XW and YW.

Therefore:

**(B) WX=YW.**

Also:

UV = UW+WV

**(C)UV-UW=WV**

Finally, since W bisects XY, **W is the midpoint of XY.**

**The correct options are B, C, and D.**

find the average rate of change of f(x)=x^2 on the interval [1,5]

The function supplied has an** average rate **of change for the range (1, 5) of -6.

f(x) = 17 - x2 (assumed)

**The average** f(x) change rate for the time period has to be determined (1, 5)

The function f(x) spanning the** range** (a, b) changes at an average rate equal to

A and b are valued as 1 and 5, respectively, in this instance.

f(1) = 17 - (1)2

f(1) = 17 - 1

f(1) = 16

f(5) = 17 - (5)2

f(5) = 17 - 25

f(5) = -8

It was determined that** f's average** rate of change (x)

As a result, the **function supplied** has an average rate of change for the range (1, 5) of -6.

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How much commission will jack make on the sale of a $160,700 house if he receives 4.7% of the selling price His commission will be …?

The **commission** of Jack on **selling** house is $7552.9.

Given that, Jack make on the sale of a $160,700 house if he receives 4.7% of the selling price.

What is percentage?**Percentage** is defined as a given part or amount in every **hundred**. It is a fraction with 100 as the **denominator** and is represented by the symbol "%".

Let commission of Jack be x.

Now, x= 4.7% of 160,700

⇒ x = 0.047 × 160,700

⇒ x = 7552.9

Therefore, the **commission** of Jack on **selling** house is $7552.9.

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write the following in the form a+bi (2+5) - (-6 +bi)

The **complex expression **(2+5) - (-6 +bi) in the form a + bi is 13 - bi

The **expression **is given as

(2+5) - (-6 +bi)

The above expression is a **complex expression**

So, we have the following **expression**

(2+5) - (-6 +bi)

Remove the **brackets **in the above expression

So, we have the following expression

(2+5) - (-6 +bi) = 2 + 5 + 6 - bi

Evaluate the **like terms **in the above equation

So, we have the following expression

(2+5) - (-6 +bi) = 13 - bi

Hence, the solution to the **complex expression **is 13 - bi

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Please Help:What is the median of the data set?9, 3, 10, 12, 4, 5, 12, 2Enter your answer in the box. __

**ANSWER**

**EXPLANATION**

We want to find the median of the data set.

First, we have to arrange the data values in the data set from least to greatest:

[tex]2,3,4,5,9,10,12,12[/tex]Since the number of data values in the data set is even (8), to find the median, **find half of the sum of the two middle terms in the ordered dataset i.e. 5 and 9.**

That is:

[tex]\begin{gathered} \frac{5+9}{2}=\frac{14}{2} \\ \Rightarrow7 \end{gathered}[/tex]That is the median of the data set.

58 Find the missing angle measures: C 42 9 А. 10 B X х В. A 40 4 0 12 S 13 T 14 X 48 57 41 76 SIT 46

Let us first solve the triangle on the right side involving **angle x**.

Recall that the **sum of angles** in a triangle must be equal to **180°**.

So we can write

[tex]\begin{gathered} 41+78+x=180 \\ 119+x=180 \\ x=180-119 \\ x=61\degree \end{gathered}[/tex]**Therefore, the angle x is equal to 61°**

Now let us solve the triangle involving **angle S** and **T**.

Again applying the property that the **sum of angles** in a triangle must be equal to **180°**

As you can see, the angle **S** and **T** form a **straight line angle**.

Recall that a **straight line angle** is equal to **180°**

**Therefore, angle S = 75° and angle T = 105°**

Now let us solve the remaining figure.

On the right side of the figure, apply the property that the **sum of angles** in a triangle must be equal to **180°**

As you can see, the **angles A** and **B** are **opposite angles.**

We know that **opposite angles** are **equal**.

Now we know the** angle B** so let us apply the property that the **sum of angles** in a triangle must be equal to **180°**

**Therefore, angle A = 98° and angle B = 98° and angle C = 34°**

Help me please its homework and its the last question ;-; . Also hope you have had a good day ;}

The **value** of the **angle** x will be equal to 113.5°.

An **angle** may be defined as the figure which can be formed from two **rays** joining at a point. The **lines** will be called as the **sides** of the angle and the point at which the rays join is called **vertex** of the angle. There are generally **5 types** of angles namely **Acute** angle, **Obtuse** angle, **Reflex** angle, **Right** angle and **Complete** angle. The value of a complete angle will be given as 360°. Since, in the question all the angles are measured to the **nearest**. So, the value of 59° could actually be something between 58.5° and 59.5°. Analogously, 108° is between 107.5° and 108.5°, and 81° is between 80.5° and 81.5°. Now, the **summation** of all four angles will be equal to 360°.

x + 58.5° + 107.5° + 80.5° = 360°

=> x = 360° - (58.5° + 107.5° + 80.5°)

=> x = 360° - 246.5°

=> x = 113.5° which is the required value.

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Can someone help please

The maximum **displacement** is 5, the **angular frequency** is 2π and the **period** of the motion is 1.

What are the features of an object under simple harmonic motion?

Kinematically speaking, an **object** under **simple harmonic motion** is described by the following equation:

y = A · cos (2π · t / T)

Where:

A - AmplitudeT - PeriodPlease notice that the **angular frequency** ω, radians per second, is equal to 2π / T. Then, we find that the maximum **displacement** is 5, the **angular frequency** is 2π and the **period** of the motion is 1.

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If each quadrilateral below is a trapezoid, find the missing measures.

#5

Applying the definition of the adjacent angles of a **trapezoid**, the value of x in **quadrilateral** TUVS is: x = 4.

The adjacent angles of a **trapezoid** are the angles that are found on the same leg of the **trapezoid**, and they are said to be supplementary to each other because they have a sum of 180 degrees.

Given that **quadrilateral **TUVS is a **trapezoid**, where angles SVU and TSV are adjacent angles, therefore:

m∠SVU + m∠TSV = 180°

m∠SVU = 139°

m∠TSV = (14x - 15)°

Substitute

139 + (14x - 15) = 180

139 + 14x - 15 = 180

Combine like terms

124 + 14x = 180

14x = 180 - 124

14x = 56

14x/14 = 56/14

x = 4

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Working with Law of Sines. I have attached a picture.

..

SOLUTION

[tex]\begin{gathered} Sine\text{ rule is given as;} \\ \frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC} \end{gathered}[/tex][tex]Where\text{ the capital letters represent the angles and the small letters stand for the sides facing each angle.}[/tex]**From our question;**

**x = 13.9**

A battery is charged. The percentage of the battery's capacity that is charged as a function of time (in minutes) is graphed 50+ 70 50+ Capacity charge 20+ 10 What was the battery's charging level when the charging began? 12

The equation of the line (segment) is:

[tex]y=2x+40[/tex]Where y is the percentage of the charge, and x is the time (in minutes) that has passed since the charge started.

How do we know that? Because we can identify two points in the graph shown in the image:

[tex](0,40),(5,50)[/tex]

Notice that the line intersects the y-axis in point 40 (when the battery had 40% of its charge)

You can easily see that the equation I first wrote is correct by simply substituting the values of those two points I just wrote above.

Since we need 'the battery's charging level when the charging began', we need to set x=0, as we need the value of y (percentage of the charge) when the charging started.

So, if x=, then:

[tex]y=2\cdot0+40=40[/tex]**Therefore, the answer is 40%**

please help with answer

**Answer:**

**Step-by-step explanation:**

16a^2 - 4b = ?

16(1/4)^2 - 4(6) = ?

4^2 - 4(6) = ?

16 - 4(6) = ?

16 - 24 = ?

**Answer:**

[tex]16(1 \div 4) {}^{2} - 4(6) [/tex]

**Step-by-step explanation:**

16

[tex]16( \frac{1}{16} ) - 24[/tex]

[tex]1 - 24[/tex][tex] - 23[/tex]What is the value for y in the following expression

when x = 10

y=-2x + 8

**Answer:**

-12

**Step-by-step explanation:**

y=-2x + 8

when x = 10

substitute the value of x in the equation

y = -2(10) + 8

y = -20 + 8

y = -12

Jonah picked 287 cherry tomatoes from his garden in May and 339 in June.

How many cherry tomatoes did Jonah pick in all?

The estimate by rounding to the nearest hundred. Then solve.

Jonah picked total **626 cherry ****tomatoes **if she licked 287 cherry tomatoes in May and 330 cherry tomatoes in June.

As the mentioned numbers are **in hundreds** and not **in thousands**, the number can not be rounded. Now we will need to perform addition to find the total number of cherry tomatoes picked by Jonah combined in May and June.

Total number of cherry tomatoes = 287 + 339

**Performing** **addition** to find the total number of cherry tomatoes picked by Jonah

Total number of cherry tomatoes = 626

Therefore, Jonah picked **6****2****6**** ****cherry ****tomatoes **combined in May and June.

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1. A sum of money is to be shared among three friends Paul, Mark and Anna in the ratio 2: 3: 5 respectively. If Paul received $ 48,000. Determine

a. Anna’s Share

b. Mark’s share.

c. The total sum

**a)Sum of money** share by **Anna** is** $120000**

**b)Sum of money** share by **Mark** is** $72000**

**c) **The **total sum **the three friends have** **is **$ 240000**

The ratio of the amount of money shared among three friends is 2: 3: 5.

Let's take the** common factor to be x.**

Sum of money Paul has = 2x

Sum of money Mark has = 3x

Sum of money Anna has = 5x

It is given that Paul receive $48000

So,

2x = 48000

x = 24000

a) Anna's share = 5x

= 5× 24000

= $120000

b) Mark's share = 3x

= 3 × 24000

= $72000

c) The total share = 2x + 3x + 5x

= 10x

= 10 × 24000

= $240000

Therefore the sum of money **share by Anna is $120000**, **Mark is $72000 **and the** total sum **of money is** $240000.**

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