A $1,000.00 bond at 85 1/4 % pays 6.8 % annual interest. Calculate cost of bond.

Answers

Answer 1

Based on the par value of the bond and the percentage it was issued at, the cost of the bond is $852.50.

What is the cost of the bond?

The current cost of the bond is the present value of the bond's cashflows and its par value.

This is taken into account when the bond is issued at a certain percentage which in this case is 85 ¹/₄%.

The cost of the bond is:

= 1,000 x 85 ¹/₄%

= $852.50

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Related Questions

Which one is it I need to finish this page fast

Answers

Answer:

E; 10% off %20 sweater with $6 shipping

Step-by-step explanation:

Similar to what I said last time,

this time is with percentages,

How to calculate percent off?

Divide the number by 100 (move the decimal place two places to the left).

Multiply this new number by the percentage you want to take off.

Subtract the number from step 2 from the original number. This is your percent off number.
________________________________________________________
A. 35% off a $35 sweater with 4 dollar shipping is basically
  0.35 x 35 = 12.25 and 35-12.25 = $22.75 + the $4 shipping fee (if no tax)
    which the total would be $26.75


B
. 20% off $35 is
   0.2x35=7 and 35-7 = 28 so your total is $28


C.
30% off $30 with $6 for shipping is

   0.3x30=9 and 30-9 is $21 plus the shipping fee
   $27


D.
 $20 sweater with $5 shipping is $25 no discount involved :D


E.
10% off %20 sweater with $6 shipping is

    0.1x20 is 2 which 20 - 2 = 18 and plus shipping fee 18+6 is $24
________________________________________________________
Hope this helped again.

Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms. If you connect a 2 megohm resistor (2× 10^6 ohms) across a 2.4 kilovolt voltage source (2.4×10^3 volts),what would be the current in amps?

Answers

Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms. The current in the amp is 1.2 × 10⁻³.

What is Ohm's Law?

Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms.

The current in amps = (2.4×10³ volts)/(2× 10⁶ ohms)

                                  = 1.2 × 10⁻³ amp

Hence, the current in the amp is 1.2 × 10⁻³.

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At the city museum child admission is $6.10 and adult admission is $9.20. On Wednesday, 144 tickets were sold for a total sales of 1083.00. How many adult tickets were sold that day

Answers

They sold over 500 tickets

Prove that C(50,3) + C(50,4) = C(51,4)

Answers

By definition of the binomial coefficient,

[tex]C(n,k) = \dfrac{n!}{k!(n-k)!}[/tex]

so we have

[tex]C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)[/tex]

as required.

What is the solution to the equation below? Round your answer to two decimal places. 3e2x + 12 = 42

Answers

Answer:

X= 5.52

Step-by-step explanation:

1. Solve the equation:

e×2x + 12= 42

x=15/e

2. Round x=15/e to the required place

x=5.52

Answer:

X=1.15

Step-by-step explanation:

Factor the binomial expansion. 81x4 – 648x3 + 1,944x2 – 2,592x + 1,296

Answers

Answer:

[tex]648[/tex]([tex]x^{3} + 3x^{2} - 4x + 2[/tex])

Step-by-step explanation:

When factoring an expression like this, you need to divide all of the parts by a common number or variable. In this case, the only thing all of these numbers share is that they are divisible by 648. So, you would divide each number by 648 to simplify it, getting 1, 3, 4, and 2. Put these numbers in front of their respective variables, and put 648 outside of the parentheses to get the final answer.

Answer:

(3x – 6)4

Step-by-step explanation:

Jordan wrote the expression 850p to represent the following scenario.

The cost of renting a bowling alley for a party is $850. The price per person depends on how many people attend the party. Write an expression for the price per person if p people attend.

Explain why Jordan's expression is incorrect. Provide the correct expression that represents the scenario.

Answers

Using proportions, the expression for the price per person is:

[tex]P = \frac{850}{p}[/tex]

Jordan's expression is wrong because the price per person is inverse proportional to the number of people in the party, not direct proportional.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The cost of renting a bowling alley for a party is $850, hence the cost per person is given by:

[tex]P = \frac{850}{p}[/tex]

Jordan's expression is wrong because the price per person is inverse proportional(that is, the amount is divided by p) to the number of people in the party, not direct proportional.

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3149 can be divide?

Answers

Answer:

yes.

but it will be in decimals if you divide by two. And if you divide it by another rank, it will surely give a whole number. please this all I can do for you and add me to your followers

3 Three children share this chocolate equally.
What fraction does each child get?
Each child gets
CHALLENGE?

Answers

Answer: Each child gets 1/3

Step-by-step explanation: x/3

Another day, another math problem 3

Answers

Answer:

[tex]2\sqrt{x+1}-3\\domain:[-1, \infty)[/tex]

Step-by-step explanation:

[tex]g(h(x)) = 2(\sqrt{x+1})-3\\g(h(x)) = 2\sqrt{x+1} - 3\\[/tex]

the function is only defined when (x+1) >= 0 (since square root) so the domain is when x >= -1

*Will give 30pts*Consider function f. f(x)=2x^2.What is the value of (f•f)(x)?

Answers

It’s the second option B 8x^4

Answer:

[tex]\textbf {B}[/tex]

Step-by-step explanation:

f(x) = 2x²

f [f(x)]

f [2x²] = 2(2x²)²

f[f(x)] = 2(4x⁴)

f[f(x)] = 8x⁴

yo
24
yx
SECTION B
(a) Identity element;
(b) Inverse of 3 and -5 under *
Range y
[30 marks]
Answer all the questions in this section. All questions carry equal marks.
1. A binary operation is defined on the set of real numbers, R, by x + y = x + y + 10.
Find the:
X
x
Inverse

Answers

Answer:

Sike

Step-by-step explanation:

That's the wrong number only 123

If Yang solves the inequality -4y> -40, then which of the following answers would be true for this claim?

Answers

Answer:

  (a)  9, 8, 7, 6, 5, ...

Step-by-step explanation:

The solution to the inequality can be done a couple of ways. The solution is similar to that for a one-step linear equation.

__

reverse inequality

We know that multiplying numbers by a negative value reverses their order. For example, 1 < 2, but -1 > -2. That is, multiplying by -1 requires a change in the comparison operator if it is to remain true.

For our inequality, we want to solve it by multiplying both sides by -1/4:

  -4y > -40

  (-1/4)(-4y) < (-1/4)(-40) . . . . . multiply both sides by -1/4 (reverses order)

  y < 10 . . . . . . . . . . . simplify

The first few decreasing integer values that are part of this solution are ...

  {9, 8, 7, 6, 5, ...}

__

make coefficients positive

We can add 4y+40 to both sides of the inequality. The result will be an inequality with positive coefficients. This can be solved in one step.

  -4y > -40 . . . . . given

  (-4y) +(4y +40) > (-40) +(4y +40) . . . . . . add 4y+40 to both sides

  40 > 4y . . . . . . . . . . . . . . . simplify

  10 > y . . . . . . . . . . . . divide by 10 (order is unchanged)

  y < 10 . . . . . . . . . rearrange to put y on the left

Integer solutions to this inequality are ...

  {9, 8, 7, 6, 5, ...}

Simplify the polynomial
x+2y+1−(2x+y+5)
Help its assignment ​

Answers

Answer:

- x + y - 4

Step-by-step explanation:

Given polynomial:

[tex] \rm \: x+2y+1-(2x+y+5)[/tex]

Solution:

Removing parentheses,we obtain

[tex]x + 2y + 1 - 2x - y - 5[/tex]

Collecting and combining like terms,we obtain

[tex]x - 2x + 2y - y + 1 - 5[/tex][tex] \boxed{ - x + y - 4}[/tex]

Done!

The graph shows the function f(x).

On a coordinate plane, a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).

Which equation represents f(x)?
f(x) = Negative RootIndex 3 StartRoot x EndRoot
f(x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
f(x) = Negative RootIndex 3 StartRoot negative x EndRoot minus 1
f(x) = Negative RootIndex 3 StartRoot negative x EndRoot

Answers

The equation that represents the given data is  [tex]\RM \\f(x) = -\sqrt[3]{-x} ,[/tex] Option D is the correct answer.

What is a Function ?

It is a statement where two variables , one dependent and one independent are related.

It is given that

a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).

The equation given in the options are

[tex]\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}[/tex]

The function goes through (8,2)

Substituting the values

f(x) = -2

f(x) = [tex]\sqrt[3]{7}[/tex]

f(x) = -3

f(x) = 2

The equation that represents the given data is

[tex]\RM \\f(x) = -\sqrt[3]{-x} ,[/tex] Option D is the correct answer.

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Answer:

D

Step-by-step explanation:

Please help with this certain math problem

Answers

Answer: For this real-valued function;

[tex]fog = 2\sqrt{x-1} + 1\\ Domain = [1, )[/tex]

Step-by-step explanation:

COMPOSITE FUNCTION

If f and g are functions, then the composite function or composition, of g and f is defined by

[tex]( f o g ) (x) = f(g(x))[/tex]

Given the functions [tex]f(x)=2x+1[/tex] , [tex]g(x)=\sqrt{x-1}[/tex],

Now composition for this;

[tex]fog = f(g(x))f(g(x)) = f(\sqrt{x-1} )[/tex]

[tex]f(\sqrt{x-1})[/tex]means we are to interchange variable x in [tex]f(x)[/tex] with the function [tex]\sqrt{x-1}[/tex]

[tex]f(\sqrt{x-1}) = 2(\sqrt{x-1})+1f(\sqrt{x+1}) = 2(\sqrt{x-1})+1fog = 2(\sqrt{x-1})+1[/tex]

The function inside the square root, x-1, must be more significant than or equal to zero (x-10), for the function to exist on any real-valued function.

[tex]if, x-1 \geq 0\\x\geq 0+1\\x \geq 1[/tex]

As a result, the range of the variable x must only include values that are larger than or equal to 1.

Hence, Domain = [1, )

DOMAIN = The domain of [tex]fog[/tex] is the set of all numbers [tex]x[/tex] in the domain of [tex]g[/tex] such that [tex]g(x)[/tex]  is in the domain of [tex]f[/tex].

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44. What percent of Mary Brown's year-to-date
gross pay has been withheld for federal tax
purposes?
A. 10%
B 13%
C. 17%
D. 20%

45. For the pay period covered on this
paycheck, what percent of Mary Brown's
gross pay was withheld for all taxes and
voluntary dues?
A 10%
B. 13%
C 17%
D. 20%

Answers

Based on the amount of federal taxes withheld till date, the percent of Mary Brown's year-to-date that have been withheld is A. 10%.

The percent of the gross pay that has been withheld for all taxes and voluntary dues is C. 17%.

How much federal taxes have been withheld?

= Fed tax till date / YTD Gross

= 662.26 / 6,318.17

= 10%

How much taxes and voluntary dues have been withheld?

= (Fed tax + ST Tax + Med tax + Vol Due) / Current gross

= (111.42 + 17.09 + 12.25 + 2.5) / 845.10

= 17%

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Find the volume of a cylinder that has a diameter of 7 and a height of 8.
28 Pi
392 Pi
448 Pi
98 Pi

Answers

Required solution :Diameter (d) = 7 Height = 8

Therefore,

Radius (r) = d / 2Radius (r) = 7/2

We know that :

V = πr^2h

Substituting the values :

>> V = π × (7 / 2)^2 × 8

>> V = π × (49 / 4) × 8

>> V = π × 49 × 2

>> V = 98π

Henceforth,

98 pi is the answer.

We know , the volume of a cylinder is given by the formula – πh, where r is the radius of the cylinder and h is the height.

Diameter - 7Height - 8radius = 7/2

Therefore, putting the values, we get,

[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: {r}^{2}h[/tex]

[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \times \: \bigg(\frac{7}{2} \bigg)^{2} \: \times \: 8 \\ [/tex]

[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: \frac{7}{2} \: \times \: \frac{7}{2} \: \times \: 8 \\ [/tex]

[tex] \Large \mathcal \purple {Volume } \large\red\implies \tt \large \:\pi \: \times \: \frac{7}{2} \: \times \: \frac{7}{ \cancel2} \: \times \: \cancel{8} \: ^{ \orange4} \\ [/tex]

[tex]\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: \frac{7}{ \cancel2} \: \times \: {7} \: \times \: \cancel4 \: ^{ \orange2} \\ [/tex]

[tex] \\ \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: 7 \: \times \: 7 \: \times \: 2[/tex]

[tex]\Large \mathcal \purple {Volume }\ \large\red\implies \tt \large \:\pi \: \times \: 49 \: \times \: 2[/tex]

[tex]\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:98 \:\pi[/tex]

Hence , the volume of cylinder is 98 pi

find the area of the shaded portion in each of the following​

Answers

Answer:

30.5 cm^2

Step-by-step explanation:

General outlineFind the area of the full circleFind the area of the rectangleFind the difference (full circle area - rectangle area)

Step 1.  Find the area of the full circle

Recall the formula for the area of a circle: [tex]A_{circle}=\pi r^2[/tex] where [tex]\pi \approx 3.14[/tex], and "r" is the radius of the circle (distance from center to any point on the edge).

From the diagram, the radius is 5cm.

[tex]A_{circle}=\pi r^2[/tex]

[tex]A_{circle}=(3.14)(5[cm])^2[/tex]

[tex]A_{circle}=78.5[cm^2][/tex]

Step 2.  Find the area of the rectangle

Recall the formula for the area of a rectangle: [tex]A_{rectangle}=bh[/tex] where "b" is the base of the rectangle (length of bottom or length of top), "h" is the height of the rectangle (distance from bottom to top).

From the diagram, the base is 8cm, and the height is 6cm.

[tex]A_{rectangle}=bh[/tex]

[tex]A_{rectangle}=(8[cm])(6[cm])[/tex]

[tex]A_{rectangle}=48[cm^2][/tex]

Step 3.  Find the difference (full circle area - rectangle area)

Having found the areas for each of the first parts, we can find the difference to find the shaded area:

[tex]A_{shaded}=A_{circle}-A_{rectangle}[/tex]

[tex]A_{shaded}=(78.5[cm^2])-(48[cm^2])[/tex]

[tex]A_{shaded}=30.5[cm^2][/tex]

Which expression could help you find the distance
between (10, 4) and (-6, 4)?
O [10] +1-41
O 1101 +141
O 1-61 +141
O |10| +-61

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

Correct Expression :

[tex]\qquad \tt \rightarrow \: |10| + | - 6| [/tex]

[tex]\qquad \tt \rightarrow \: distance = 16\:\: units\degree[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex] \textsf{Using distance formula -} [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{( - 6 - 10) {}^{2} + (4 - 4) {}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{( - 16) {}^{2} + 0} [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{256} [/tex]

[tex]\qquad \tt \rightarrow \: 16 \: \: units[/tex]

For short it can be expressed as :

[tex]\qquad \tt \rightarrow \: |10| + | - 6| = 10 + 6 = 16[/tex]

[ y - coordinate of both the points are same ]

Correct option - D

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Greg has a piece of string that is 3 1/3 yards long. If he cuts off 3/4 yard, how many yards of the string
will be left?

Answers

2(7/12) yards will be left

3(1/3) =10/3
10/3 - 3/4. = 40/12- 9/12
= 31/12
=. 2(7/12)

Pls help! Answer the question in the pic. I will give five stars, thanks, and brainliest!

*20 POINTS*

Answers

Answer:
71°
Step-by-step explanation: Let's have look on triangle BDH
Angle B + Angle D + Ange H = 180
Angle DHB = 180 - 71
Angle DHB = 109
Angle X = 180 - 109
Angle X = 71 ° Ans .

A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6, 0). The y-intercept
of the first parabola is (0, -12). The y-intercept of the second parabola is (0, -24). What is the positive difference
between the a values for the two functions that describe the parabolas? Write your answer as a decimal rounded to
the nearest tenth.

Answers

Answer:

1/2

Step-by-step explanation:

First parabola  f(x1)   =  a ( x+4)(x-6)    use point 0,-12 to find a = 1/2

                                = 1/2 (x+4)(x-6)

Second parabola    a ( x+4) (x-6)       using point  0, -24    shows a = 1

                       f(x2)       = (1)(x+4)(x-6)

Difference between the 'a' values =  1 - 1/2 = 1/2

if cp=rs 400, loss=10% find sp

Answers

Answer:

cp = rs 400

loss = 10%

Then SP = 400 - 10% of 400

= 400 - 40

= 360

Therefore SP = Rs. 360

Please answer! I will give you the brainliest :)

Answers

Answer:

K

Step-by-step explanation:

(1*500 * 5) + (10 * 3*500)

Answer is k (5.500) + (10.1500)

Let E be the event where the sum of two rolled dice is greater than or equal to 7. List the outcomes in Ec.

Answers

Answer:

(1, 1)  (1, 2)  (1, 3) (1,4)

(1,5)  (2,1)   (2,2) (2,3)

(2,4)  (3,1)  (3,2)   (3,3)

(4,1)   (4,2) (5,1)

Step-by-step explanation:

An event is a specified set of results of a random experiment in probability theory. The number of possible outcomes that Event E has is 21.

What is an event?

An event is a specified set of results of a random experiment in probability theory. Because the sample space is the collection of all potential outcomes of a random experiment, another definition of an event is any subset of a sample space.

Let E be the event where the sum of two rolled dice is greater than or equal to 7. Therefore, the outcomes in E are represented in red in the given table below.

(1, 6)

(2, 6)

(3, 6)

(4, 6)

(5, 6)

(6, 6)

(2, 5)

(3, 5)

(4, 5)

(5, 5)

(6, 5)

(3, 4)

(4, 4)

(5, 4)

(6, 4)

(4, 3)

(5, 3)

(6, 3)

(5, 2)

(6, 2)

(6, 1)

Hence, the number of possible outcomes that Event E has is 21.

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Given that 2x^2-5 = a(x+2)^2 _ b(x+1)+x for all values of X, find the value of a, of b and of c

Answers

It looks like you're asking to solve for the coefficients [tex]a,b,c[/tex] such that

[tex]2x^2 - 5 = a(x+2)^2 - b(x+1) + c[/tex]

Expanding the right side gives

[tex]2x^2 - 5 = ax^2 + 4ax + 4a - bx - b + c[/tex]

[tex]2x^2 - 5 = ax^2 + (4a - b)x + (4a - b + c)[/tex]

The coefficients on both sides must be equal, so

[tex]\begin{cases}a = 2 \\ 4a-b = 0 \\ 4a - b + c = -5\end{cases}[/tex]

Solving the system yields [tex]\boxed{a=2 \implies b = 8 \implies c = -5}[/tex].

A sample of 40 11th graders were asked to select a favorite pattern out of 6
choices. The following display shows what their favorite color patterns were.
The counts have been recorded in the accompanying table according to
pattern and the number of students who selected that pattern. What is the
missing value in the table?
NEN
OA. 12
OB. 10
O C. 11
D. 13
Color Pattern
Blue on gray
Green
Pink polka dots
Purple
Red and orange
stripes
Yellow
Frequency
6
7
8
7
3

Answers

The missing value in the table is 12 , Option A is the correct answer.

What is a Graph ?

A graph is a mathematical representation of the data available , It makes the study of the data over a wide period easier.

It is given in the question that there are 40 students and the frequency they select for each pattern is mentioned as number , which can be seen in the image attached with the answer.

It has been asked to determine the missing value in the frequency table corresponding to the pink Polka dots

The other number in the frequency table is 4, 6 ,8 ,7, 3

Total students are 40

Therefore the value corresponding to the pink polka dot is given by

40 - ( 4+6+7+8 +3)

= 12

Therefore The missing value in the table is 12 , Option A is the correct answer.

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Below what price level would the firm go out of business in the long run?

Answers

A firm should go out of business in the long run when its price level is less than the average total cost.

When should a firm go out of business in the long run?

The long run is a period where all factors of production are varied. It is known as the planning time of a firm. In the long run, if the if the average total cost is greater than the price, the firm should exit the market.

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Figure ABCD is a rhombus. Find the value of x.

58°

x = [ ? ]°

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x = 32°[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Diagonals of a Rhombus bisect each other at 90°

[tex]\qquad \tt \rightarrow \: x + 58 + 90 = 180[/tex]

[ Sum of interior angles of a triangle ]

[tex]\qquad \tt \rightarrow \: x + 148 = 180[/tex]

[tex]\qquad \tt \rightarrow \: x = 180 - 148[/tex]

[tex]\qquad \tt \rightarrow \: x = 32 \degree[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The diagonals of the rhombus intersect at right angle. Then the value of x will be 32°.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. In a rhombus, opposite sides are parallel and equal.

Figure ABCD is a rhombus.

Its diagonals intersect at right angle.

Let the another angle be x. Then we have

x + 58° + 90° = 180°

        x + 148° = 180°

                   x = 32°

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What is the value of x when Rq=3x+2 ,QN =2x and SM=3x? What should you do when going through an airport security checkpoint with a government issued. Function g is a transformation of function f.Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1.What is the equation of function g?g(x) = f(x) For some given data, if Z-M = 2 andx= 33.5, then Z =(a) 35.5 (b) 36.5 (c) 32.5(d) 34.5 The process of becoming a professional begins withQuestion 23 options:admission to a professional school or a course of study.graduating from a degree program.passing a licensure exam.getting a job in your career field. Please I need help fast. Assignment is due soon.1) A ball is thrown from the top of a building with an initial speed of 8.0 m/s at an angle of 35 above the horizontal. The building is 18 m tall. a) How long is the ball in the air? b) How far from the building does the ball land? c) What is its impact speed?2) A 65-kg person driving a car hits the gas, accelerating the car at a rate of 3.9 m/s^2. Find the magnitude and direction of the force exerted by the seat on the person's body. Remember to include both the horizontal and the vertical components. what's the best option to increase immunity during pandemics? Carlton received 45 votes in the school council election, and Will received 60 votes. What percent of the votes did Carlton receive? PLEASE ANSWER ASAP!!!!!!!What is the exact value of cos(tan1(1))/sin(cos1(32))?Enter your answer, as a simplified fraction, in the box.cos(tan1(1))/sin(cos1(32))= What is the slope of the line that contains the points (-2, 7) and (2, 3)? The function f(x)= StartRoot negative x EndRoot is shown on the graph. Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of Clarinex-D, 5% of the patients in the study experienced insomnia as a side effect. As random sample of 20 Clarinex-D users is obtained, and the number of patients who experienced insomnia is recorded. Find and interpret probability that 3 or fewer experienced insomnia as a side effect. i need help with this question (answer choices 15, 5, and 12) You own land worth $44,000 and your building has a replacement cost of $160,000. What would be the value of the property if the appraiser used depreciation of 30 percent PROJECT: EXPLORING IDENTITY1. What is your first name, and why did your family choose to give you this name? What meaning does your name have?2. What is your last name? What is the country of origin of your last name? Does your last name mean anything specific?3. What is your ethnic heritage? If you are multi-ethnic, do you follow the customs of one ethnicity more than the others?4. Who is your closest friend and why did you become friends with him or her? In other words, what qualities do you value the most about your closest friend?5. On a scale from 1 to 10, how much stress do you experience in your life?6. What motivates you in school?7. What is something you used to believe but now know to be incorrect?8. What do you do when you need to remember something?9. Who do you think worries more about body image: guys or girls? Why?10. Describe a time when you thought everyone was watching you only to realize that you weren't being singled out.11. If you were to describe yourself in one sentence, what would you say?12. What do you think you will be like as an adult?13. What advice would you give to someone who told you he/she wanted to become a middle or high school teacher? The maximum number of turning points of a 9th degree polynomial is? Can someone help with this q u e s t i o n p l e a s e The parent function f(x)=x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)? the government should impose household trash limits persuasive essay Somebody help me please..Ill appreciate it alot thank you