pls help !!!! i do not know or understand this at all

Pls Help !!!! I Do Not Know Or Understand This At All

Answers

Answer 1

Answer:

(3, -3)

Step-by-step explanation:

Given functions:

f(x)= x² - 5x + 3

and

f(x)= -3

Solution is the Intersect which is found by equalizing the two functions:

x² - 5x + 3= -3

Solving for x:

x² - 5x + 6=0x² - 2x -(3x -6) =0x(x-2) - 3(x-2)=0(x-2)(x-3)= 0x= 2 and x= 3

As both values of x for the first function reveal f(x) = -3, the pairs are:

(2, -3) and (3, -3)


Related Questions

The radius of a cylindrical water tank is 5.5 ft, and it’s height is 10 ft. What is the volume of the tank?

Answers

Answer:

950.33 ft³

Step-by-step explanation:

The volume of a cylinder is denoted by: V = πr²h, where r is the radius and h is the height.

Here, the radius is r = 5.5 ft and the height is h = 10 ft. Plug these into the formula:

V = πr²h

V = π * 5.5² * 10 ≈ 950.33 ft³

The answer is thus 950.33 ft³.

~ an aesthetics lover

Find the mean and standard deviation. Show all work. 1. X 0 1 2 3 4 P(x) .07 .38 .22 .13

Answers

Answer:

Mean = 2.14

Standard deviation = 2.40

Step-by-step explanation:

The calculation of mean and standard deviation is shown below:-

[tex]X = .07\times0 + 0.20\times 1 + 0.38\times 2 + 0.22\times 3 + 0.13\times 4\\\\ = 0 + 0.2 + 0.76 + 0.66 + 0.52[/tex]

= 2.14

So, the mean is 2.14

Now, For computing the standard deviation first we need to find out the variance which is shown below:-

Variance is

[tex]Var(X) = P(X^2) - [P(X)]^2\\\\ P(X^2) = .07\times (0^2) + .20\times (0^1) + .38\times (0^2) + .22\times (0^3) +0.13\times (0^4)[/tex]

After solving the above equation we will get

= 5.78

Now, the standard deviation is [tex]= \sqrt{Variance}[/tex]

[tex]= \sqrt{5.78}[/tex]

= 2.404163056

or

= 2.40

Helppppp pleaseeeeee

Answers

Answer:

(2, 2), (5, 3), (9, 4), and (13, 5).

Step-by-step explanation:

The inverse of a function makes it so that the x-values become y-values, and y-values become x-values.

The current coordinates are (2, 2), (3, 5), (4, 9), and (5, 13).

If the function were inversed, the coordinates would be (2, 2), (5, 3), (9, 4), and (13, 5).

Hope this helps!

PLEASE help me solve this question! I really need to solve this question ASAP! No nonsense answers, and please attach the solution.

Answers

Answer:

{-0.5, 0.1}

Step-by-step explanation:

multiply the 8 on the left with x/x so you can write left hand as [tex]\frac{1-8x}{x}[/tex]cross multiply to get rid of the fractions: [tex]5x = (1-8x)(5x+2)[/tex]simplify into a regular quadratic equation: [tex]-20x^2 - 8x +1 =0[/tex]use the quadratic formula to get the answers:

[tex]x = \frac{8 \pm \sqrt{(-8)^2 - 4 \cdot -20 \cdot 1}}{-40} = \frac{8 \pm 12}{-40}[/tex]

so x is 20/-40 = -0.5 or x = -4/-40 = 0.1

points Q and R are midpoints of the sides of triangle ABC. Triangle A B C is cut by line segment Q R. Point Q is the midpoint of side A B and point R is the midpoint of side A C. The lengths of A Q and Q B are 4 p, the length of Q R is 2 p + 3, and the length of C B is 6 p minus 4. The lengths of A R and R C are congruent. What is AQ? 10 units 14 units 20 units 32 units

Answers

Answer:

AQ = 20 units

Step-by-step explanation:

I tried figuring in the pic below..

Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.

We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.

Answer:

20

Step-by-step explanation:

RQ is 1/2 of CB, so 2(2p+3)=6p-4. This would make p=5. Then, 5*4=20.

(also it is right on edgenuity)

What the correct answer fast

Answers

Answer:

[tex] s = 5.8 [/tex]

Step-by-step Explanation:

Given:

∆RST,

m < T = 17°

t = RS = 5

m < S = 20°

s = RT = ?

Apply the Law of Sines to find s

[tex] \frac{s}{sin(S)} = \frac{t}{sin(T)} [/tex]

[tex] \frac{s}{sin(20)} = \frac{5}{sin(17)} [/tex]

Multiply both sides by sin(20) to make s the subject of formula.

[tex] \frac{s}{sin(20)}*sin(20) = \frac{5}{sin(17)}*sin(20) [/tex]

[tex] s = \frac{5*sin(20)}{sin(17)} [/tex]

[tex] s = 5.8 [/tex] (to nearest tenth)

The mean annual tuition and fees for a sample of 11 private colleges was $26,500 with a standard deviation of $6,000. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $31,000.
i). State the null and alternate hypotheses.
ii). Compute the value of the test statistic and state the number of degrees of freedom.
iii). State a conclusion regarding H. Use the a = 0.05 level of significance.

Answers

Answer:

Step-by-step explanation:

Given that:

Sample size n = 11

Sample Mean X = 26500

standard deviation = 6000

Population mean [tex]\mu[/tex] = 31000

the null and alternate hypotheses are being stated as follows:

[tex]H_o : \mu = 31000[/tex]

[tex]H_1 : \mu \neq 31000[/tex]

The value of the test statistic can be computed as:

[tex]Z = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{26500 - 31000}{\dfrac{6000}{\sqrt{11}}}[/tex]

[tex]Z = \dfrac{-4500}{\dfrac{6000}{3.3166}}[/tex]

Z = −2.4875

Z = −2.49

The degree of freedom df = n- 1

The degree of freedom df = 11 - 1

The degree of freedom df = 10

At the level of significance ∝ = 0.05

[tex]t_{\alpha/2}[/tex] = 0.025

From the t distribution table at [tex]t_{\alpha/2, 10}[/tex] and critical value = -2.49;

The p-value =  0.0320

Decision Rule: Reject null hypothesis if p -value is lesser than the level of significance

Conclusion:We reject the null hypothesis , therefore, we conclude that there is no sufficient information to that the mean tuition and fees for private colleges is different from $31,000

Which relation is a function?

Answers

Answer: Choice B

The relation { (3,4), (-3, 8), (6,8) } is a function.

====================================================

Explanation:

Choice A can be ruled out because we have x = -3 repeat itself for different y values. For any x input, there must be exactly one y output. This is assuming the x value is in the domain of course.

Choice C can be ruled out for similar reasoning. This time x = 3 repeats.

Choice D is the same story, but we go back to x = -3 showing up twice.

Choice B is the only thing left. Each x value is unique or only written one time. This graph passes the vertical line test. The other graphs fail the vertical line test (it is possible to draw a vertical line through more than one point).

In packing for a trip, Sarah puts three pairs of socks - one red, one blue, and one green - into one compartment of her suitcase. If she then pulls four individual socks out of the suitcase, simultaneously and at random, what is the probability that she pulls out exactly two matching pairs

Answers

Answer:

1/5 or 20%

Step-by-step explanation:

This problem can be easily solved by finding the probability of her picking one matching pair to leave in the suitcase (which results in pulling out exactly two matching pairs)

For the first sock, it does not matter what sock she picks.

For the second sock, there is only 1 out of the 5 socks left that would match the first one picked. Therefore, the probability that she pulls out exactly two matching pairs is 1/5 or 20%

write down as decimal.​

Answers

Answer:

iii) 5.7

iv) 27.85

vii) 0.609

viii) 40.0709

Step-by-step explanation:

hope this helps

Can you help me plz​

Answers

Answer: y = 6

Explanation:

Find area of 1 square:

180/5 = 36

Find the side length of the square:

Sqrt 36 = 6

Answer:

[tex]\boxed{\sf y=6}[/tex]

Step-by-step explanation:

There are 5 identical squares.

The area of one square is [tex]\sf s^2[/tex].

[tex]\sf{y^2 } \times \sf{5}[/tex]

[tex]\sf 5y^2[/tex]

The area of the whole shape is 180 cm².

[tex]\sf 5y^2=180[/tex]

Solve for y.

Divide both sides by 5.

[tex]\sf y^2=36[/tex]

Take the square root on both sides.

[tex]\sf y=6[/tex]

A triangle has three sides of the following side lengths: 7, 10, and x^2. What are all of the positive integer values of x such that the triangle exists? Separate your answers using commas and express them in increasing order.

Answers

Answer:

x = {2,3,4}    (if x can only be positive whole numbers)

Step-by-step explanation:

For a triangle exists, the side lengths of the triangle must be such that the sum of the two shorter sides must be greater than the third side.

This also is equivalent to any two sides must have a sum greater than the third side.

So

7+10 > x^2, => x^2 < 17 => x < sqrt(17)     (maximum)

7+x^2 > 10, => x^2 >3 => x > sqrt(3)

Therefore

sqrt(3) < x < sqrt(17)

If x must be an integer,

2< x < 4, or x = {2,3,4}

A+B=C? I don't get the formula...

Answers

Answer:

Read this for more help!

Step-by-step explanation:

That is okay if you do not understand the formula. We all have troubles with math in one spot or in another. With the a²+b²=c², we would have to go really slowly. Just for you!

Let´s do an example. Say we have a triangle, and for this we need to know our square roots! Say we have this triangle, and it has both a 3 and a 4 on its sides. Now a triangle had 3 sides. 2 sides are smaller, and then it would have a larger side, which is called the hypotenuse! That is the side we would need to figure out, because the hypotenuse is the largest side of the triangle, and we only have the smaller sides(3 and 4).

So we need to work with the formula.

So let us plug the example into the formula.

There is no specific order to how we would be putting the sides in. 3 could be b or it could be a. Same goes for the 4. It really does not matter because you would be getting the same answer no matter what.

a²+b²=c²

3²+4²=c²  

3²=9

4²=16

We need to add the two of those numbers, both 9 and 16 and we get 25. That is c². But we need c, because the hypotenuse is only c. So we need to take the square root of 25. And we get 5!

I will show you the equation again with 3 and 4 reversed.

4²+3²=c²

4²=16

3²=9

Like what we did above, we would get 25. And then take the square root! Same answer, so it really doesn't matter!

If you still do not understand this topic, you can always ask someone else who does, or go on khan academy, or search for more topics like this on BRAINLY! I hope this helped!

Which transformation(s) can map ABCD onto AWXY?
rotation only
reflection only
O translation, then rotation
O translation, then reflection

Answers

Answer:

Translation, then rotation.

Step-by-step explanation:

If you translate the triangle BCD in such a way that vertex B maps onto vertex W, you'll realize that with rotation, you'll map the whole BCD triangle onto triangle WXY.

On the other hand, reflections can't be used here, because the sides of both triangles are not in opposite positions.

Therefore, the right answer is the third choice.

For a class, Mrs. Hawk brought
in 7 different packages of
colored pens. The teacher
randomly selects 2 packages.
How many different
combinations are there?​

Answers

Answer:

14

Step-by-step explanation:

7x2=14

7C2 = 7!/[2!(7-2)!] = 7!/(2x5!) = 7x6/2 = 21
Therefore there are 21 possible combinations.

PLEASE HELP THANK YOUUUU Your group has $120 available for the banquet. Any other costs must be covered from selling tickets for the event. You decided to take care of the major cost first–hall rental and caterer. Each caterer you approach is associated with a specific hall. Caterer One charges $45 per person. The cost of using the hall is inclusive. Caterer Two charges $250 for hall rental plus $28 per person. Cater Three charges $500 for hall rental plus $20 per person. 1. Write the equation to represent the cost of each caterer. Use C to represent cost and n to represent number of people. (3 marks)

Answers

Answer:

The cost C, of hosting the banquet with the services of Caterer One is;

C = $ 45·n

The cost C, of hosting the banquet with the services of Caterer Two is;

C = $250 +  $ 28·n

The cost C, of hosting the banquet with the services of Caterer Three is;

C = $500 +  $ 20·n

Step-by-step explanation:

The information includes;

The amount available to the group for the banquet = $120

The number of people attending the banquet = n

The cost incurred in hosting the banquet = C

The major costs in hosting the banquet are hall rental and caterer

The cost per caterer are as follows;

Caterer One

The cost per person including the hall = $45

Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;

C = n × $45 = $ 45·n

Caterer Two

The hall rental = $250

The cost per person = $28

Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;

C = $250 +  n × $28 = $250 +  $ 28·n

Caterer Three

The hall rental = $500

The cost per person = $20

Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;

C = $500 +  n × $20 = $500 +  $ 20·n.

Answer:

The cost C, of hosting the banquet with the services of Caterer One is;

C = $ 45·n

The cost C, of hosting the banquet with the services of Caterer Two is;

C = $250 +  $ 28·n

The cost C, of hosting the banquet with the services of Caterer Three is;

C = $500 +  $ 20·n

Step-by-step explanation:

The information includes;

The amount available to the group for the banquet = $120

The number of people attending the banquet = n

The cost incurred in hosting the banquet = C

The major costs in hosting the banquet are hall rental and caterer

The cost per caterer are as follows;

Caterer One

The cost per person including the hall = $45

Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;

C = n × $45 = $ 45·n

Caterer Two

The hall rental = $250

The cost per person = $28

Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;

C = $250 +  n × $28 = $250 +  $ 28·n

Caterer Three

The hall rental = $500

The cost per person = $20

Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;

C = $500 +  n × $20 = $500 +  $ 20·n.

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

the numbers of cars pf various colors in a parking lot

Answer:  The speed of a car as it changes during a time.

B is the best example of continuous data.

Step-by-step explanation:  The contrast between the definitions of continuous data  vs. discreet data is that discrete data is counted, continuous data is measured.

A speedometer measures speed continuously, time is measured continuously.

Time can, however, be reported as discreet measurements in situations where that kind of data is needed. (not in this question)

A Number of cars is discreet.

Data from different workers or different days is not continuous.

HELP ASAP MATH PLS!!!!!

Answers

Answer:

A

Step-by-step explanation:

We know that because the second plane flies 15 miles less, it has to be either A or B, because they have -15 at the end.

It cannot be B, because in B, the second plane has a -w in the equation. However, in the word problem, the second plane flies with the wind, not against it. Therefore, it must be A.

If f(x) = -8x - 6 and g(x) = x+8 , what is (f • g) (- 7)

Answers

Answer: See below

Explanation:

(f • g)(-7) = [-8(-7) -6](-7+8)

= (56 - 6)(1)

= (50)(1) = 50

Answer:

hello:

Step-by-step explanation:

If f(x) = -8x - 6 and g(x) = x+8 ,  (f • g) (- 7)= f(g(-7))

but g(-7)=-7+8=1

(f • g) (- 7)= f(1) =-8(1)-6 =-14

Simplify
Pls help......​

Answers

Answer:

5

Step-by-step explanation:

(0.000064)^5/6 divided by (0.00032)^6/5

(0.00032)^6/5=(0.000064)

and

(0.000064)^6/5=(0.00032)

so now we have (0.00032) divided by (0.000064)

which is 5!

hope this helps!

Answer: yes

Step-by-step explanation: no

a:b=7.2
How many times larger is a than b?
Does anyone understand this?

PLEASE HELP ASAP

Answers

Answer:

  3.5 times as large

Step-by-step explanation:

The ratio can be written using a colon or a fraction bar. In the latter case, simplifying the fraction gives you your answer:

  a : b = 7 : 2 = 7/2

'a' is 7/2 = 3.5 times as large as 'b'

fins the zeroes of the quadratic equation : 4√ 5 x^ 2 - 24x - 9√ 5

10th grade Cbse chapter 2 : Polynomials

pls give the step by step explanation so that i can understand​

Answers

Answer:

Step-by-step explanation:

Hello,

First of all, we know that the solution of the following equation

   [tex]ax^2+bx+c=0[/tex]

are

   [tex]\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \ \text{ when } \Delta=b^2-4ac \geq 0[/tex]

I would suggest that you try to apply this formula first and check the solution only after you try.

Let's apply it in this case, we have:

[tex]a=4\sqrt{5} \\ \\ b=-24 \\ \\ c= -9\sqrt{5}[/tex]

[tex]\Delta=b^2-4ac=24^2+4*9*5=1296 \\ \\ \sqrt{\Delta}=36 \ \text{ and the solutions are } \\ \\ \\ x_1=\dfrac{24-36}{8\sqrt{5}}=\dfrac{-12}{8\sqrt{5}}=\boxed{\dfrac{-3}{2\sqrt{5}}} \\ \\x_2=\dfrac{24+36}{8\sqrt{5}}=\dfrac{60}{8\sqrt{5}}=\boxed{\dfrac{15}{2\sqrt{5}}}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

I am really confused... Please help me solve this question!

Answers

I hope this helps you

a parabola had a vertex of (-5,0) and passes through the point (-3,1)

Answers

Answer:

Step-by-step explanation:

let the parabola be y=a(x+5)²+0

or y=a(x+5)²

∵ it passes through (-3,1)

1=a(-3+5)²

4a=1

a=1/4

so parabola is y=1/4(x+5)²

Help please!! Thank you

Answers

Answer:

25 ( A)

pls mark me as BRAINLIEST

stay at home stay safe

and keep rocking

Answer:

A

Step-by-step explanation:

The first ten primes are

2,3,5,7,11,13,17,19,23,27

so the number is

2*3*5*7*11*13*17*23*27

so

2*11 is 22, so 22 divides the number

2*3 is 6, so 6 divides the number

2 is there so 2 divides the number

So the only one is 25.

A fruit bowl contains apples and bananas in the ratio 4 : 5. Two apples are removed changing the ratio to 2 : 3. Work out the total number of fruit that remain in the bowl.​

Answers

Answer:

25

Step-by-step explanation:

Given that the ratio is 4 : 5 = 4x : 5x ( x is a multiplier ), then

4x - 2 : 5x = 2 : 3

Expressing the ratio in fractional form

[tex]\frac{4x-2}{5x}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3(4x - 2) = 10x , distribute left side

12x - 6 = 10x ( subtract 10x from both sides )

2x - 6 = 0 ( add 6 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus initially there were

4x + 5x = 9x = 9(3) = 27 pieces of fruit

2 apples were removed, leaving 25

Answer:

25

Step-by-step explanation:

4 : 5. is ratio before two apples were removed.

2 : 3. is ratio after two apples were removed.

combing the two statements will give you the following mathematical statement:

4x-2:5x=2:3 solve for x

3(4x-2)=5x*2

12x - 6=

2x=6

x=3

then 4x + 5x = total ñô fruit

4(3) + 5(3) = total ñô fruit

27= total ñô fruit

remaining fruit=total ñô fruit - 2

remaining fruit=27-2

remaining fruit=25

ABC is a triangle in which DE ∥BC. Find ∠A

Answers

Answer:

∠A = 35°

Step-by-step explanation:

From the question above,

Sum of Angles on a straight line = 180°

180° = ∠BDE + ∠ADE

∠BDE = 105°

∠ADE = 180° - 105°

∠ADE = 75°

To find Angle ∠EBC and ∠DEB are alternate angles, this means that they are equal to each other

Hence, ∠EBC = ∠DEB

30° = 30°

Sum of Angles on a straight line = 180°

180° = ∠DEB + ∠BEC + ∠DEA

180° = 30° + 80° + ∠DEA

∠DEA = 180° -(30+ 80)°

∠DEA = 180° - 110°

∠DEA = 70°

It is important to note that the sum of Angles in a triangle = 180°

180° = ∠ADE + ∠DEA + ∠A

∠ADE = 75°

∠DEA = 70°

180° = 75° + 70° + ∠A

∠A = 180° - (75° + 70°)

∠A = 180° - 145°

∠A = 35°

which of the following shows 210 angles in standard position

Answers

It is the first one

That is showoff 210 angel in standard position

The 210 angles in the standard position are shown in figure (A) option (A) is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that:

The measure of the angle:

= 210 degrees

The reference angle can be defined as the angle formed between the terminal side and the x-axis, known as the reference angle.

The angle between the x-axis and the y-axis is 90 degrees.

The angle between the y-axis and the negative x-axis is 90 degrees.

The angle between the negative x-axis and the arrow shown in the coordinate plane is 30 degrees.

Thus, the 210 angles in the standard position shown in figure (A) option (A) is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

48 - 8x equivalent expression

Answers

Answer:

8(6-x)

Step-by-step explanation:

Both 48 and 8 can be divisible by 8.

48 ÷ 8 = 6

8 ÷ 8 = 1

Therefore you get the answer 8(6-x)

as the simplest form.

Hope this helps.

The product of two numbers is 32. The first number, x, is one-half of the second number, y. Which system of equations can be used to find the two numbers? A system of equations. x y equals 32. x equals StartFraction one-half EndFraction y. A system of equations. x y equals 32. x equals y minus StartFraction one-half EndFraction. A system of equations. x plus y equals 32. x equals y minus StartFraction one-half EndFraction. A system of equations. x plus y equals 32. x equals StartFraction one-half EndFraction y.

Answers

Answer:

xy = 32

x = 1/2y.

Step-by-step explanation:

Let's say the two numbers are x and y.

The product of them is 32, so x times y is 32.

xy = 32.

x is 1/2 of y. So...

x = 1/2y

Your two systems are xy = 32 and x = 1/2y.

Hope this helps!

Answer:

The answer is A on edg 2021

Other Questions
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Transaction types Amount Unpaid balance from January (Beginning balance on February 1) $2802.38Purchases made during the month of February $543.55Payments made during the month of February $389.60 Complete the parts below. Write your answer to the nearest cent. (a) Suppose the credit card company charges 1.9% monthly interest on the unpaid balance from January. How much interest will this be? (b) What will Kaitlin's unpaid balance be on her March 1 statement? (Assume that this balance will include the interest from part (a), but will not include any interest on her February balance yet.) help me plz i will give brainlest If the Latin suffix -simile means similar, what does facsimile mean? to make alike; copy to carry away; take to make different; unique to bring forward; assign PLEASE HELP 30 POINTS!! What is the solution to the system of equations below? y = negative one-third x + 9 and y = two-thirds x minus 12 (21, 2) (21, 10) (21, 16) (21, 26) A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 70 gallons of a mixture that contains 65% pure antifreeze, how many gallons of each brand of antifreeze must be used? An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of theeraser?50 mm40 mm40 mm30 mm3,600 square millimeters4.800 square millimeters5,400 square millimeters6,000 square millimeters 4.05 LC)The graph shows y as a function of x:yQPRSIn which segment is the function decreasing?A) PB) QC) RD) S How do u do this please help WILL GIVE BRAINLIEST What type of feedback loop is breathing? Hector Company gathered the following reconciling information in preparing its March bank reconciliation: Cash balance per books, 3/31$12,000 Notes receivable collected by bank6,000 Outstanding checks9,000 Deposits in transit4,500 Bank service charge75 NSF check1,200 Using the above information, determine the adjusted cash balance for March. a.$7,500 b.$16,725 c.$15,500 d.$12,225 Joe must pay liabilities of 1,000 due one year from now and another 2,000 due three years from now. There are two available investments: Bond I: A one-year zero-coupon bond that matures for 1,000. The yield rate is 6% per year Bond II: A two-year zero-coupon bond with face amount of 1,000. The yield rate is 7% per year. At the present time the one-year forward rate for an investment made two years from now is 6.5%. Joe plans to buy amounts of each bond. He plans to reinvest the proceeds from Bond II in a one-year zero-coupon bond. Assuming the reinvestment earns the forward rate, calculate the total purchase price of Bond I and Bond II where the amounts are selected to exactly match the liabilities. 1. 2,584 2. 2,697 3. 2,801 4. 2,907 5. 3,000 Given the Latin root zelos, or zeal, which word means full of zeal? zealify zealous zealize zealot Jack LaLanne launched the fitness movement in the United States. In TV commercials, this muscular exercise expert promised viewers that they would look and feel younger, just by squeezing some fruits and vegetables into his Jack LaLanne Power Juicer and enjoying the drink after a workout. What type of communication is illustrated by this example? Group of answer choices Direct mail Catalogs Infomercials Telemarketing Soy Carla y vivo en Canad. Prefiero ________ de verano porque me gusta el sol y no me gusta cuando va a nevar ni el mal tiempo. la lluvia la estacin el invierno el fro m mm From mechanics, you may recall that when the acceleration of an object is proportional to its coordinate, d2xdt2=kmx=2x , such motion is called simple harmonic motion, and the coordinate depends on time as x(t)=Acos(t+), where , the argument of the harmonic function at t=0, is called the phase constant. Find a similar expression for the charge q(t) on the capacitor in this circuit. Do not forget to determine the correct value of based on the initial conditions described in the problem. Express your answer in terms of q0 , L, and C. Use the cosine function in your answer. What is the tallest mountain? SOMEONE HELP ME PLEASE!!! a. What is the displacement of the car in the graph?b. What distance has the car travelled?