2) Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4. 3%

Answer:

Question 1

Given expression:

[tex]-2x^3 (4x^3+5x^6)[/tex]

Apply the distributive law [tex]a(b+c)=ab+ac[/tex]:

[tex]\implies -2x^3 \cdot4x^3+-2x^3 \cdot 5x^6[/tex]

Multiply the numbers:

[tex]\implies -8x^3 x^3-10x^3 x^6[/tex]

Apply exponent rule  [tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies -8x^6-10x^9[/tex]

In standard form we write it in order from the greatest degree:

[tex]\implies -10x^9-8x^6[/tex]

Therefore, as the polynomial is degree 9, it is a nonic polynomial.

End behaviors

As the leading coefficient is negative and the leading degree is odd:

[tex]f(x) \rightarrow + \infty \textsf{, as } x \rightarrow - \infty[/tex]

[tex]f(x) \rightarrow - \infty \textsf{, as } x \rightarrow + \infty[/tex]

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Question 2

Factor the given function to find the zeros

Given function:

[tex]f(x) =x^3+15x^2 +63x+49[/tex]

[tex]f(-1) =(-1)^3+15(-1)^2 +63(-1)+49=0[/tex]

Therefore [tex](x+1)[/tex] is a factor of the function

[tex]\implies x^3+15x^2 +63x+49=(x+1)(x^2+bx+49)[/tex]

                                         [tex]=x^3+(b+1)x^2+(b+49)x+49[/tex]

Comparing coefficients ⇒ b = 14

[tex]\implies x^3+15x^2 +63x+49=(x+1)(x^2+14x+49)[/tex]

Factoring [tex](x^2+14x+49)[/tex]:

[tex]\implies (x^2+14x+49)=(x+7)(x+7)=(x+7)^2[/tex]

Therefore,

[tex]f(x)=(x+1)(x+7)^2[/tex]

To find the zeros, equate to the function zero:

[tex](x+1)(x+7)^2=0[/tex]

Therefore,

[tex]x+1=0 \implies x=-1 \textsf{ with multiplicity 1}[/tex]

[tex]x+7=0 \implies x=-7\textsf{ with multiplicity 2}[/tex]

Answer:

Yes, Linear

Step-by-step explanation:

The numbers are going at a rate of 4 input for every 8 output

Answer: C

Step-by-step explanation:

Answer:

Michael Jordan Emsley A. Laney. 5'11"

Stephen Curry Charlotte Christian. 5'6"

3.As much as he learns in his freshmen art seminar about the color blue, Yale student Benson May says, “there is still much more to discover about it.”

4.About one-half of school districts nationwide do not require or recommend that schools provide students with at least 20 minutes to eat lunch once they receive their meal.12

Step-by-step explanation:

hope it helps

Answer:

explanation:

y - 1 = -4(x + 3)

y = -4x - 12 + 1

y = -4x - 11

For find y-intercept, x will be 0

y = -4(0) - 11

y = -11       [ 0, -11 ]

For find x-intercept, y will be 0

0 = -4x - 11

11 = -4x

x = -2.75  [ 2.75 , 0 ]

Plot these two point and draw a straight line. You are done with your task.

Answer: 50 degrees

Step-by-step explanation:

Answer: 1.6

Step-by-step explanation:

Calculator

Step-by-step explanation:

[tex]\frac{119}{19}[/tex] is an improper fraction meaning the top number is larder than the bottom

you want it in the form of a mixed fraction

to do that we need to first know

how many times can 19 go into 119

or 119 ÷ 19

tell me in comments

that will be our hole number or j

then k will be the remainder wich i can explain after u get what j is in the comments

Step-by-step explanation:

.......

.................

Answer:

4

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

463/3÷23/6(fraction)

Applying the fractions formula for division,

=46×63×23(fraction)

=27669(fraction)

Simplifying 276/69(fraction), the answer is

=4

Answer:

[tex]\displaystyle 4[/tex]

Step-by-step explanation:

Transform the mixed numbers into improper fractions:

[tex]\displaystyle 15\frac{1}{3} \div 3\frac{5}{6} \hookrightarrow \frac{46}{3} \div \frac{23}{6} \rightarrow \frac{2}{\frac{1}{2}} \\ \\ \boxed{4}[/tex]

I am joyous to assist you at any time.

The percentage value of the decimals are 475%, 99% and 1040% respectively.

Data;

a) 4.75

To convert a decimal value to percentage, all we simply need to do is multiply that number by 100.

[tex]4.75 * 100 = 475 \%[/tex]

b) 0.99

To convert this decimal value to percentage, we just need to multiply this number by 100.

[tex]0.99 * 100 = 99 \%[/tex]

c) 10.4

To convert this decimal value to percentage, we just need to multiply this number by 100.

[tex]10.4 * 100 = 1040\%[/tex]

Learn more on conversion of decimal value to percentage here;

https://brainly.com/question/870657

https://brainly.com/question/13060022

Answer:

64 po Ang sagot sana makatulong

Answer: That’s all youre going to search

Step-by-step explanation:

The answers related to perimeter is shown below.

The complete length of a shape's boundary is referred to as its perimeter. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

Given:

O) Perimeter of Triangle = 16.6

G) Perimeter of Square = 24

E) Perimeter of  Parallelogram= 230

A)  Perimeter of Decagon = 6.3

B) Perimeter of Rectangle  = 16.6

I) Perimeter of Equilateral Triangle = 3 x 5.25 = 15.75

H) Perimeter of Hexagon = 16.5

U) Perimeter of Rhombus = 100

Learn more about Perimeter here:

https://brainly.com/question/6465134

#SPJ2

Answer:

x=134

Step-by-step explanation:

5³ is 125 (5x5x5), and 3² is 9 (3x3)

125+9 = 134

Answer:

  D, E

Step-by-step explanation:

Each vector represents the horizontal and vertical translation amounts:

  [tex]\left[\begin{array}{c}\text{translation right}\\\text{translation up}\end{array}\right][/tex]

Translation left or down will result in negative values for the corresponding translation amounts.

__

We can consider only the lower-left corner to determine the amount of translation.

horizontal: 1 to -4, so -4-1 = -5 units

vertical: 2 to 0, so 0 -2 = -2 units

The translation vector is ...

  [tex]\left[\begin{array}{c}\text{-5}\\\text{-2}\end{array}\right]\qquad\text{matches choice D}[/tex]

__

horizontal: -4 to -1, so -1 -(-4) = -1 +4 = 3 units

vertical: 0 to -4, so -4 -0 = -4 units

The translation vector is ...

  [tex]\left[\begin{array}{c}\text{3}\\\text{-4}\end{array}\right]\qquad\text{matches choice E}[/tex]

Answer:

Nickels; 5 cents

Dimes; 10 cents

Given that she has 30 nickels:

30(nickels) x 5(a single nickel) = $1.50

2.40 - 1.50 = $0.90, those 90 cents leftovers should then be divided by 10 cents because one dime contains 10 cents and you want to figure out how many dimes there are:

90/10 = there are 9 dimes

Answer:

12 the probability that both mark and jennifer win

Answer:

16 ang answer

Step-by-step explanation:

Kung mali comment me

Answer: 8 x 4

Step-by-step explanation:

if the hat is 4 TIMES the baseball cap then u should multiply. anytime “times” is in a sentence like that it’s an automatic flag/reminder that multiplication is needed

Answer:

D.

Step-by-step explanation:

The matching shirt costs 4 times as much as the cap; The cap is $8. In that case, the question just told us the answer. 4 times $8 = 4*8 or 8*4 = $32. So if you had to determine the cost, the shirt is $32.

Answer:

0.11

Step-by-step explanation:

Answer:

[tex]\mathrm{slope\:intercept\:form:\:y = \dfrac{ 1 }{ 2 } x+4}[/tex]

Step-by-step explanation:

To change the equation into slope-intercept form, we write it in the form y=mx+b

So this means that we have to solve for "y" in the equation "-x + 2y = 8"

−x + 2y = 8

Step 1: Add x to both sides

2y = 8 + x

Step 2: Now the equation is in standard form

2y = x + 8

Step 3: Divide both sides by 2

[tex]\mathrm{\dfrac{ 2y }{ 2 } = \dfrac{ x+8 }{ 2 }}[/tex]

Step 4: Dividing by 2 undoes the multiplication by 2

[tex]\mathrm{y = \dfrac{ 1 }{ 2 } x+4}[/tex]

Answer: 3%

Step-by-step explanation: 20% of 15 is 3 so yeah:)

Answer:

14 cm

Step-by-step explanation:

1. Recognize that an isosceles triangle will have at least two equal sides. Given the wording of the problem, we can say that we have two equal sides of 4 cm and a third side of 6 cm

2. Define perimeter. The perimeter of a triangle is the length of the continuous line outlining the triangle

3. Add all three side lengths together (4 cm + 4 cm + 6 cm). This will equal 14 cm

Answer:

x=31.67[by rounding]

Step-by-step explanation:

As

sin=p/h

Here,

p=2.1

h=4

[tex]solution \\ sin(x )= \frac{2.1}{4} \\ sin(x) = 0.525 \\ \sin(x) = sin(31.66824325 )\\ x = 31.66824325[/tex]

Answer:

31.7°

Step-by-step explanation:

[tex]sin(x)=\frac{opposite}{hypotenus} \\x = sin^{-1} (\frac{2.1}{4} )\\x = 31.668 = 31.7(nearest\ tenth\ of\ a\ degree)[/tex]

Answer:

The answer is A

Step-by-step explanation:

Because if you see all of the choices on top of the row and you put them on a graph and you fold it on the y-axis you will see on the bottom row those are the reflection of the top row so I would go with A! I hope this helps you! Have a great day.

Answer:

1. D -20

2. C (n-7)(n+6) / (n+4)(n-1)

Explanation:

The second one is actually:

(n−7)(n−1)(n+6)2(n+4)

But there isn't that one on the options so the closest one would be C.

The line of best fit of the student model shows the relationship between variables on a scatter plot

The question is incomplete; So, I will make use of a dataset with the following calculation summary from a graphing calculator

So, the equation of the line of fit is:

[tex]y = -0.1x + 50[/tex]

In (a), we have:

So:

The slope means that the number of students reduces each year by a factor of 0.1, while the y-intercept means that the initial number of students is 50

This means that x = 11.

So, we have:

[tex]y = -0.1*11 + 50[/tex]

[tex]y = 49[/tex]

Hence, the number of students in year 11 is 49

Read more about line of best fit at:

https://brainly.com/question/26347582

Answer:

x = 4

Step-by-step explanation:

[tex]2x - 3y = - 1 \: \: \: \: \: ...(*)\\ y = 3[/tex]

Substitute y = 3 into (*).

[tex]2x - 3(3) = - 1 \\ 2x = - 1 + 3(3) \\ 2x = - 1 + 9 \\ 2x = 8 \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

2x - 3y = -1

y = 3

Substitute the given value for y.

2x - 3 (3) = -1

2x - 9 = -1

2x - 9 + 9 = -1 + 9

2x = 8

2x/2 = 8/2

x = 4

hope this helps!! p.s. i really need brainliest :)