help please precalc will give brainliest

Help Please Precalc Will Give Brainliest
Help Please Precalc Will Give Brainliest

Answers

Answer 1

In part (D), we found

[tex]2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)[/tex]

so the phase [tex]\phi[/tex] is [tex]\tan^{-1}\left(\frac52\right)\approx1.19\,\rm rad[/tex], which falls between 0 and [tex]\frac\pi2[/tex]. This means the weight is somewhere between the maximum positive position (where [tex]\phi[/tex] would be 0) and the equilibrium position (where [tex]\phi[/tex] would be [tex]\frac\pi2[/tex]), and would be traveling in the negative direction.


Related Questions

Find the next three terms in the sequence 4, 16, 36, 64, 100, ...

Answers

Answer:

144 196 256

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

Joe drove 315 miles on 15 gallons of gas. What is his mileage in miles/gallon?
miles/gallon

Answers

Answer:

21 miles/gallon

Step-by-step explanation:

To find his mileage in miles/gallon, divide the number of miles by the number of gallons.

315/15

= 21

= 21 miles/gallon

Answer:

21 miles / gallon

Step-by-step explanation:

Take the miles and divide by the gallons

315 miles / 15 gallons

21 miles / gallon

Please help me how to do no 5

Answers

Answer:

  -864

Step-by-step explanation:

The determinant of a matrix product is the product of the determinants. The determinant of a transpose is the same as the determinant of the original. Hence ...

  [tex]|AB^5C^T|=(4)(-2)^5(\frac{1}{4})=-32[/tex]

The multiplication of an n×n matrix by a scalar 'a' multiplies its determinant by a^n, so the desired determinant is ...

  [tex]|3AB^5C^T|=3^3(-32) = \boxed{-864}[/tex]

Find the missing probability. P(A)=7/20,P(A∪B)=191/400,P(A∩B)=49/400 ,P(B)=? A. 7/8 B. 1/4 C. 117/400 D. 19/40

Answers

Answer:

B

Step-by-step explanation:

P(AUB)=P(A)+P(B)-P(A∩B)

191/400=7/20+P(B)-49/400

P(B)=191/400+49/400-7/20=240/400-7/20=12/20-7/20=5/20=1/4

The value of P(B) is 1/4.

What is probability?

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

For an experiment having q number of outcomes, the number of favorable outcomes can be denoted by p. The formula to calculate the probability of an event is as follows:

Probability(Event) = Favorable Outcomes/Total Outcomes = p/q

Given data as :

P(A) = 7/20,

P(A∪B) = 191/400,

P(A∩B) = 49/400 ,

P(AUB) = P(A) + P(B) - P(A∩B)

Substitute the values of P(A), P(A∪B) and P(A∩B) in formula,

191/400 = 7/20 + P(B) - 49/400

Rearrange the terms in the equation,

P(B) = 191/400 + 49/400 - 7/20

P(B) = 240/400 - 7/20

P(B) = 12/20 - 7/20

P(B) = 5/20

P(B) = 1/4

Hence, the value of P(B) is 1/4.

Learn more about probability here :

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PICK AN ANSWER!!! BRAINLIEST IF RIGHT

Answers

Answer:

Hey there!

This is an obtuse isosceles, because two sides are congruent, and one angle is greater than 90 degrees.

Let me know if this helps :)

Answer:

[tex]\Large \boxed{\mathrm{C. \ obtuse \ isosceles }}[/tex]

Step-by-step explanation:

An isosceles triangle has two equal angles. This triangle has two base angles equal.

An obtuse triangle has an angle measuring greater than 90 degrees. This triangle has an angle measuring 136 degrees.

This triangle is an obtuse isosceles triangle.

The Brooklyn Burn is a small company that makes and sells hot sauces. The profit that The
Brooklyn Burn makes in a month from its “Buckingham Burn" hot sauce can be measured using
the following function:
y=6x - 200
where x is the number of bottles of "Buckingham Burn" hot
sauce sold, and y is the profit in dollars for the month.
Using this function and its context involving sales of hot
sauce), describe the meaning of the numbers shown in the
table at the right.

150
700

Answers

Answer:

I know the answer

Step-by-step explanation:

If we use 150 the answer would be 6(150) - 200 = 700. The answer is 200.

Brooklyn Burn sold 150 bottles of hot sauce every month, 700 is the profit they make eachmonth.

Please help soon as possible! This is urgent! Match each expression with the correct description.

Answers

Answer:

Hey there!

q is 1, and n=-2.

q-n=1-(-2), which is 3.

n-q=-2=1, which is -3.

q is 1.

Thus, the least value is n-q, and the greatest value is q-n. Closest to zero would be q.

Let me know if this helps :)

Answer:

Least: n-q

Greatest: q-n

Closest to zero: q

in the diagram, POS and UOR are straight lines. OQ is the bisector of angle POR . angle POU and angle UOT are complementary angles.Find the values ofx abd y.​

Answers

Answer:

x = 34° and y = 62°

Step-by-step explanation:

Complementary angles sum to 90°, therefore 90 = 56 + x which means that x = 34°. The angles formed by an angle bisector are congruent and so are vertical angles; this means that ∠SOR = ∠POU = 56° and ∠POQ = ∠QOR = y. Since POS is a straight line, straight lines have a measure of 180° and because ∠POS = ∠POQ + ∠QOR + ∠SOR, we know that 180 = y + y + 56 → 180 = 2y + 56 → 180 → 2y = 124 → y = 62°.

PLZ HELP 55 POINTS Two quantities, x and y, are related proportionally such that 3x=2y . Which equation shows the same proportional relationship? A x/y=3/2 B x/2=y/3 C x/3=y/2 D x/2=3/y

Answers

Answer:

B

Step-by-step explanation:

3x = 2y

One way to solve this is to simply plug in values. If we say the following:

x = 2

y = 3

Then, we can start testing.

A: [tex]x/y = 3/2[/tex]

by plugging 2 and 3 in, we see that A doesn't work.

B: x/2 = y/3

This works! First we should look at the other equations.

C: x/3 = y/2

Nope.

D: x/2 = 3/y

This also works, but only with certain numbers. If we were to make x = 4, and y = 6, this wouldn't work.

You could also find out all of this using algebra. so, our anwser is B.

A football field has the shape of a rectangle with dimensions of 300 feet long and 160 feet wide. If a fan was to run diagonally from one end zone to the opposite end zone, how far would she run to the nearest foot? Enter only the number.

Answers

Answer: 340

Explanation:

In order to find the length of the diagonal of a rectangle you need to cut the rectangle in diagonal then you have 2 right triangle:

We can take one right triangle to work with:

We can use Pythagorean’s theorem to find the hypotenuse of the right triangle (also the diagonal of the rectangle):

a^2 + b^2 = c^2
300^2 + 160^2 = c^2
90000 + 25600 = c^2
115600 = c^2
Sqrt 115600 = c
340 = c

Where c is the hypotenuse of the right triangle and also the diagonal of the rectangle

Answer:

340 feet

Step-by-step explanation:

we use Pythagora

d² = l² + w²

d = √300ft)² + 160ft)²

= √90000ft² + 25600ft²

= √115600ft²

= √(2⁴ₓ5²ₓ17²)ft²

= √(2²ₓ5ₓ17)ftₓ(2²ₓ5ₓ17)ft

= √340ftₓ340ft

= 340 feet

Calculate the surface area of this composite shape.

Answers

Answer:

1284 m^2

Step-by-step explanation:

Front face and back face:

2 * [28 m * 5 m + (22 m - 5 m) * 6 m] = 484 m^2

Left face and right face:

2 * 22 m * 8 m = 352 m^2

Bottom face and top face:

2 * 28 m * 8 m = 448 m^2

total surface area = 484 m^2 + 352 m^2 + 448 m^2 = 1284 m^2

PLEASE HELP Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes betweenh
$250 and $300.

Answers

Answer: 0.0215 .

Step-by-step explanation:

Let X denotes the weekly wages at a certain factory .

It is normally distributed , such that

[tex]X\sim N(\mu=400,\ \sigma= 50)[/tex]

Then, the probability that a worker  selected at random makes between

$250 and $300:

[tex]P(250<X<300)=P(\dfrac{250-400}{50}<\dfrac{x-\mu}{\sigma}<\dfrac{300-400}{50})\\\\=P(\dfrac{-150}{50}<z<\dfrac{-100}{50})\ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(-3<z<-2)\\\\=P(z<-2)-P(z<-3)\\\\=1-P(z<2)-(1-P(z<3))\\\\=P(z<3)-P(z<2)\\\\=0.9987-0.9772\\\\=0.0215[/tex]

Hence,the required probability = 0.0215 .

Alex has to pay his car insurance twice a year. Each Payment is 312. How much money should Alex budget for his insurance each month?

Answers

Step 1:
312 • 2 = 624

Step 2:
624 divided by 12 months

Answer:
$52 a month

Answer:

$52

Step-by-step explanation:

$52. Since Alex pays for car insurance twice a year, divide the cost of each payment by 6, the number of months in half a year. This will tell you how much money Alex needs to set aside each month to cover his insurance costs.

312÷6=52

Laura is bowling 5 games. Her first 4 scores were 135, 144, 116, and 132.

To end up with an average score of at least 136.8, what is the lowest score Laura will need in the fifth game?

Answers

Answer:

157

Step-by-step explanation:

135+144+116+132=527

527+136.8=762.8

762.8÷5= 157

Each cylinder is 12 cm high with a diameter of 8 cm.

Calculate the volume of each cylinder.

Use 3 as a value for π

Give your answer using the correct units.

Answers

Answer:

Volume = 576cm^3

Step-by-step explanation:

[tex]h = 12 cm\\d = 8cm\\r =d/2 = 8/2 =4\\V = ?\\V =\pi r^2h\\\\V= 3 \times 4^2\times12\\V = 576 cm^3[/tex]

when graphed on a coordinate plane , point a and point b are reflections across the x-axis. Point a is located at (5, 2). Which ordered pair describes the location of point b

Answers

Answer:

Point b has coordinates (5, -2)

Step-by-step explanation:

If point a has coordinates (5, 2) then its reflection across the x axis would have the same value for the x-coordinate, and exactly opposite value for the y-coordinate (that is y-coordinate = -2.

then point's a reflection is: (5, -2)

since its reflection is point b then point b has this coordinates.

Suppose that three computer boards in a production run of forty are defective. A sample of five is to be selected to be checked for defects.

a. How many different samples can be chosen?
b. How many samples will contain at least one defective board?
c. What is the probability that a randomly chosen sample of five contains at least one defective board?

Answers

Answer:

(a) 658,008 different samples can be chosen.

(b) 222,111 samples will contain at least one defective board.

(c) The probability that a randomly chosen sample of five contains at least one defective board is 0.34.

Step-by-step explanation:

We are given that three computer boards in a production run of forty are defective. A sample of five is to be selected to be checked for defects.

(a) To find how many different samples can be chosen, we will use a combination formula here because the order of selecting a sample of 5 from the production run of 40 doesn't matter.

Here, n = total sample = 40 and r = selected sample = 5

So, the combination formula is; [tex]^{n}C_r= \frac{n!}{r! \times (n-r)!}[/tex]

             [tex]^{40}C_5= \frac{40!}{5! \times (40-5)!}[/tex]

              [tex]^{40}C_5= \frac{40!}{5! \times 35!}[/tex]

              [tex]^{40}C_5[/tex] = 658,008 ways

So, 658,008 different samples can be chosen.

(b) To find how many samples will contain at least one defective board, we will first find how many samples will contain no or 0 defective board.

For this also, we will use a combination where n = 40 - 3 = 37 non-defective computer board and a sample of r = 5 computer boards.

So,          [tex]^{n}C_r= \frac{n!}{r! \times (n-r)!}[/tex]

             [tex]^{37}C_5= \frac{37!}{5! \times (37-5)!}[/tex]

              [tex]^{37}C_5= \frac{37!}{5! \times 32!}[/tex]

              [tex]^{37}C_5[/tex] = 435,897 ways

This means that 435,897 of the 658,008 samples will contain no defective board.

Now, the samples that will contain at least one defective board = Total samples - Samples that contain no defective board

           = 658,008- 435, 897

           = 222,111

(c) The probability that a randomly chosen sample of five contains at least one defective board is given by;

      Required Probability =  [tex]\frac{222,111}{658,008}[/tex]

                                         =  0.34 or 34%

You have worked these hours this week: 5 4/5, 6 1/3, 8 2/5, 4 2/3. How many hours did you work

Answers

1472 minutes

OR

24 hours and 32 minutes

OR

1 day and 32 minutes

OR

1 day, half an hour, and 2 minutes

Using the addition operator, the total number of hours worked this week would be 26.65 hours

Given the work hours thus :

Converting to improper fraction :

29/4 + 19/3 + 42/5 + 14/3

Taking the L. C. M ; = 60

(435 + 380 + 504 + 280) / 60

= 1599 / 60

= 26.65 hours.

Hence, total hours worked would be 26.65 hours.

Learn more : https://brainly.com/question/25686009

solve 3/4x+5=-9 please

Answers

Answer:

exact form: x=-56/3

mixed number form: -18 2/3

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=-56/3 or x= - 18.6

Find the sum of the first 12 terms of the sequence 512, 256, 128, … This is infinite series notation, the answer is NOT 896...

Answers

Answer:

1023.75

Step-by-step explanation:

The sum of a geometric sequence is

sum = a( 1 - r^n) / (1-r)

where a is the first term  r is the common ratio and  r^n is the nth term

We need to find the common ratio

r = 256/512 = 1/2

sum = 512 ( 1 - 1/2^12) / ( 1-1/2)

       =512( 1-.000244141) / (.5)

       =512(.999755859) /.5

     =1023.75

Answer:

1023.75

Step-by-step explanation:

sum = a( 1 - r^n) / (1-r)

a1 = 512

n = 12

r = 256 / 512 = 1/2

                              512 (1 - 1/2¹²)

therefore.. sum =  ------------------ = 1023.75

                                   1 - 1/2

the city of James town is 2 meters below sea level. Takoradi, a city in western region, is 7 meters below sea level . How much higher is James town than Takoradi​

Answers

Answer:

James town is 5 meters higher than Takoradi​ .

Step-by-step explanation:

Given:

Height of James town = 2 meters below sea level

Height of Takoradi town = 7 meters below sea level

To find:

How much higher is James town that Takoradi = ?

Solution:

As we can see the standard of height is how much the town is below the sea level.

So, the height of town having lesser value will be at a higher level.

Value of Height of James town is lesser than that of Takoradi town.

Therefore, James town is at a higher level.

Difference of height = 7 meters - 2 meters = 5 meters

So, the answer is:

James town is 5 meters higher than Takoradi.

How many adults must be randomly selected to estimate the mean FICO​ (credit rating) score of working adults in a​ country? We want ​% confidence that the sample mean is within points of the population​ mean, and the population standard deviation is .

Answers

Answer: hello below is the complete question

How many adults must be randomly selected to estimate the mean FICO (credit rating) score of working adults in a country? We want 90% confidence that the sample mean is within 4 points of the population mean, and the population standard deviation is 66. Round up to the nearest whole number

answer : 737 adults

Step-by-step explanation:

confidence interval = 90% = 0.9

( E ) = 4

standard deviation = 66

first we have to calculate the value of a

a = 1 - confidence interval

  = 1 - 0.9 = 0.10      hence  a / 2 = 0.05

next find the value of Z a/2 from table

Z[tex]_{0.05}[/tex]  = 1.645

The number of Adults selected can be determined using this relation

N = [tex](Z_{a/2} * (s/E))^2[/tex]

   = [tex](Z_{0.05} * ( 66/4))^2[/tex]

   = 737

The miss Petra psychic hotline charges 5$ For the first minute and 2$ for each additional minute. Give an equation the describes the situation

Answers

Answer:

y=2(x-1)+5

Step-by-step explanation:

We know that it is 5 dollars for the first minute so we know the equation will start off with +5.

Than for the rest of the minutes, we have to make sure to subtract one from them, because the first number is worth 3 dollars more. Which is why it is x-1.

Then we multiply the new value times 2, because each additional minute is 2 dollars more.

Olcquations
Week 5 Assignment: Mixture Problems and Systems of Equations
Due Sunday by 11:59pm
Points 10
Submitting an external tool
Solve interest applications using a system of equations
Question
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4%
interest on the total investment. How much money did he put in each account?
Sorry, that's incorrect. Try again?
3% amount: S 600
8% amount: S 2400
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Answers

Answer:

$600 at 8%$2400 at 3%

Step-by-step explanation:

You have the right numbers, but the wrong accounts.

__

Let x represent the amount invested at 8% (the highest rate). Then the total interest is ...

  .08x +.03(3000 -x) = .04(3000)

  .05x = .01(3000) . . . . subtract .03(3000)

  x = 3000/5 = 600

Matthew invested $600 at 8%, $2400 at 3%.

_____

Comment on checking your answer

You may notice that the overall interest rate is 4%, closer to 3% than to 8%. That means more of the money must be invested at 3% than at 8%.

Which statements are true?

Answers

Answer:

Step-by-step explanation:

The first statement is true.  We use 4 as the base and 3.33 as the exponent, obtaining 101.

The second statement is true.  Using 2 as the base and 6.15 as the exponent, we get 71.01, or approximately 71.

Third statement:  3^4.14 = 94.47, which is NOT equal to 24.  False

Fourth statement:  Raise the base (5) to the power 2.60, obtaining 65.66, or approximately 66. True

Fifth statement:  Raise the base (6) to the power 0.17, obtaining 1.36.  This does not match the '11' given.  False

Little bit more math hw

Answers

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

For these kind of problems, simply take the denominator and compare it to zero. Then solve the equation.

[tex]x+2=0\\\\\Rightarrow x=-2[/tex]       By subtracting 2 from both sides!

Best Regards!

F
19) The points (6,5), (7,2), (9,6), and (10,3) are vertices of an inscribed square.
A)(x - 8)2-(y - 4)2 = 5
B) (x – 8)2 + (y - 4)2 = 15
C) (X + 8)2 + (y + 4)2 = 5
D) (x - 8)2 + (y - 4)2 = 5
Find an equation for the circle

Answers

Answer:

The equation of circle is [tex](x-8)^2+(y-4)^2=5[/tex]

(D) is correct option.

Step-by-step explanation:

Given that,

Points (6,5), (7,2), (9,6) and (10,3) are vertices of an inscribed square.

We need to calculate the distance between (7,2) and (9,6)

Using formula of distance

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Put the value into the formula

[tex]d^2=(9-7)^2+(6-2)^2[/tex]

[tex]d^2=20\ m[/tex]

The radius will be

[tex]r^2=\dfrac{20}{4}[/tex]

[tex]r^2=5[/tex]

We need to calculate the center of the point (7,2) and (9,6)

Using formula of center point

For x axis,

[tex]h=\dfrac{x_{2}+x_{1}}{2}[/tex]

Put the value into the formula

[tex]h=\dfrac{9+7}{2}[/tex]

[tex]h=\dfrac{16}{2}[/tex]

[tex]h=8[/tex]

For y axis,

[tex]k=\dfrac{y_{2}+y_{1}}{2}[/tex]

Put the value into the formula

[tex]k=\dfrac{6+2}{2}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

We need to find the equation for the circle

Using formula of equation of circle

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Put the value into the formula

[tex](x-8)^2+(y-4)^2=5[/tex]

Hence, The equation of circle is [tex](x-8)^2+(y-4)^2=5[/tex]

(D) is correct option.

Select the correct answer. If , which statement is true? if g(x) = f(1/3x)
A. The graph of function f is stretched vertically by a scale factor of 3 to create the graph of function g.
B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.
C. The graph of function f is compressed horizontally by a scale factor of to create the graph of function g.
D. The graph of function f is compressed vertically by a scale factor of to create the graph of function g.

Answers

Answer:

B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.

Step-by-step explanation:

The rules for linear transformations are that

 g(x) = a·f(b·(x-c)) +d

stretches the graph vertically by a factor of "a" (before the shift)

compresses the graph horizontally by a factor of "b" (before the shift)

shifts it to the right by amount "c"

shifts it up by amount "d".

Your equation has b=1/3, so the graph is compressed by a factor of 1/3, which is equivalent to a stretch by a factor of 3.

The appropriate choice of description is ...

 b) the graph of g(x) is horizontally stretched by a factor of 3

Answer:

B

Step-by-step explanation:

Correct on Plato

In a triangle ABC two points D,E are taken on BC so that angle BAD=angle DAE=angleCAE. Determine AE if AB=5,BC=10 angle BAC=90. PLEASE HELP I NEED HELP WITHIN TEN MINS PLEASE

Answers

Answer:

AE = 7.5

Step-by-step explanation:

Since <BAC = [tex]90^{0}[/tex], then;

<BAD = <DAE = <CAE = [tex]30^{0}[/tex] (complementary angles)

From ΔABC, applying the Pythagoras theorem to determine the length of side AC;

[tex]/BC/^{2}[/tex] = [tex]/AC/^{2}[/tex] + [tex]/AB/^{2}[/tex]

[tex]/10/^{2}[/tex] = [tex]/AC/^{2}[/tex] + [tex]/5/^{2}[/tex]

100 = [tex]/AC/^{2}[/tex] + 25

[tex]/AC/^{2}[/tex] = 100 - 25

[tex]/AC/^{2}[/tex] = 75

AC = [tex]\sqrt{75}[/tex]

Applying trigonometric function to ΔCAE,

Cos [tex]30^{0}[/tex] = [tex]\frac{AE}{\sqrt{75} }[/tex]

AE = [tex]\sqrt{75}[/tex] × Cos [tex]30^{0}[/tex]

    = 7.5

Therefore, AE = 7.5

Show all work to solve 3x2 − x − 2 = 0.

Answers

Answer:

x=-2/3 and 1

Step-by-step explanation:

3x^2-x-2=0

(3x+2)(x-1)

3x=-2

x=-2/3

x=1

Other Questions
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 38 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 116 feet. Assume that the population standard deviation is 21 feet. (You may find it useful to reference the appropriate table: z table or t table) a. State the null and the alternative hypotheses for the test. The patients states that she had a heart attack 2 years ago What medical term would you document in her PMHx? HINT: expand the abbreviation ! The nurse is reinforcing instructions to a pregnant client regarding dietary measures to promote a healthy pregnancy. The nurse instructs the client to consume an adequate intake of fluid on a daily basis. Which statement by the client indicates an understanding of the daily fluid requirement? Read Vice President Aaron Burrs quote about the Senate. [The Senate] is a sanctuary; a citadel of law, of order, and of liberty; and it is here - it is here, in this exalted refuge; here, if anywhere, will resistance be made to the storms of political phrensy and the silent arts of corruption. What was Burr most likely saying about the Senate? The Senate can be counted on to encourage rebellion and discord. The Senate is the lower house not just in name, but in action. The Senate is the stable, righteous, and reliable arm of government. The Senate can exist without the need for another arm of Congress. ABC is a full-service technology company. They provide equipment, installation services as well as training. Customers can purchase any product or service separately or as a bundled package. Container Corporation purchased computer equipment, installation and training for a total cost of $144,000 on March 15, 2021. Estimated standalone fair values of the equipment, installation and training are $90,000, $60,000 and $30,000 respectively. The journal entry to record the transaction on March 15, 2021 will include a an electric device is plugged into a 110v wall socket. if the device consumes 500 w of power, what is the resistance of the device n January 1, 1987, three 100 par value bonds with 6% annual coupons will mature at the end of 1, 2, and 3 years, respectively. The redemption value of each bond is 100. You are given that the prices for these bonds on January 1, 1987 are: Maturity Date Price December 31, 1987 101.92 December 31, 1988 102.84 December 31, 1989 105.51 These prices are based on an interest rate of i in 1987, j in 1988, and k in 1989. Determine j. Bella is wrapping a cube-shaped gift box that measures 8.5 inches along each edge. How many square inches of wrapping paper is needed to cover the box completely without overlapping? A. 34 in.2 B. 72.25 in.2 C. 433.5 in.2 D. 614.125 in.2 PLEASE HELP!!! ASAP!!! What happens when an atom of sulfur combines with two atoms of chlorine to produce SCl2? Solve for X: 1+1*12/80-2+3=56x The range of values for x? Mark currently works part time with a salary of $8000 per year mark plans to quit working and attend college for four years if his college cost will total $64,000 how long will it take Mark to recover his investment assuming he has a salary of $32,000 upon graduating When recording journal entries for production costs using a standard cost accounting system, the debit to Work in Process Inventory account is for the ______ amount. An apartment complex has several 9-story buildings, and every apartment in the complex has a unique number. On the first floor of one of the buildings, you see four apartments numbered 109, 110, 111, and 112. In which building and on which floor is apartment 207? Imagine that you are an early British immigrant to the east coast of America. You have been charged by the British government with establishing a new settlement. What characteristics would you be looking for to create a successful new city Ranjana has two unknown solutions X and Y Someone pls help thank you sm .. Suppose that the central bank must follow a rule that requires it to increase the money supply when the price level falls and decrease the money supply when the price level rises. If the economy starts from long-run equilibrium and aggregate demand shifts right, the central bank must how does root pressure move water