the number 344,586, how many times greater is the value represented by the in the ten thousands place than the value represented by the 4 in the housands place?

Answers

Answer 1

The value represented by the digit in the ten thousands place is 10 times greater than the value represented by the digit in the thousands place.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

The value represented by the digit in the ten thousands place is 4 times greater than the value represented by the digit in the thousands place.

To see why, we can look at the place value of each digit. The digit in the ten thousands place represents a value of 4 x 10,000 = 40,000. The digit in the thousands place represents a value of 4 x 1,000 = 4,000.

Therefore, the value represented by the digit in the ten thousands place is 40,000/4,000 = 10 times greater than the value represented by the digit in the thousands place.

So, the value represented by the digit in the ten thousands place is 10 times greater than the value represented by the digit in the thousands place.

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Related Questions

Pls and thank u i need help

Pls and thank u i need help

Answers

Answer:  see table below

Step-by-step explanation:

Simply add the digit on the left to the digit on the top

1, 2 --> 1 + 2 = 3

3, 4 --> 3 + 4 = 7

4, 2 --> 4 + 2 = 6

6, 6 --> 6 + 6 = 12

\(\begin{array}{c|c|c|c}&\underline{\quad 2\quad }&\underline{\quad 4\quad }&\underline{\quad 6\quad }\\\underline{\quad 1 \quad}&\bold{\underline{\quad 3\quad}}&\underline{\quad 5\quad}&\underline{\quad 7\quad}\\\underline{\quad 2 \quad}&\underline{\quad 4\quad }&\underline{\quad 6\quad }&\underline{\quad 8\quad}\\\underline{\quad 3 \quad}&\underline{\quad 5\quad }&\bold{\underline{\quad 7\quad}}&\underline{\quad 9\quad}\\\end{array}\)

\(\begin{array}{c|c|c|c}{\underline{\quad 4 \quad}&\bold{\underline{\quad 6\quad }}&\underline{\quad 8\quad }&\underline{\quad 10\quad }\\\underline{\quad 5 \quad}&\underline{\quad 7\quad}&\underline{\quad 9\quad}&\underline{\quad 11\quad}\\\underline{\quad 6 \quad}&\underline{\quad 8\quad }&\underline{\quad 10\quad }&\bold{\underline{\quad 12\quad}}\\\end{array}\)

A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?

Answers

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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which of the following transformations are linear? select all of the linear transformations. there may be more than one correct answer. be sure you can justify your answers.

Answers

A - not linear

B- linear

C- linear

D- linear

E- not linear

F- not linear

A linear transformation (or a linear map) is a function \(T:R ^{n} - > R^{m}\) that satisfies the following properties:

1- T(x+y)=T(x)+T(y)

2-T(ax)=aT(x)

for any vectors x,y∈\(R^{n}\) and any scalar a∈R.

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number time one of the components of x, then f is a linear transformation.

A useful feature of a linear transformation is that there is a one-to-one correspondence between matrices and linear transformations, based on matrix-vector multiplication. So, we can talk without ambiguity about the matrix associated with a linear transformation T(x).

Refer to the image for the missing question.

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which of the following transformations are linear? select all of the linear transformations. there may

What is the slope of the line

What is the slope of the line

Answers

Answer:

3/4

Step-by-step explanation:

The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?​

Answers

The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given

Answers

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Find the area of the composite figure below

Find the area of the composite figure below

Answers

Answer:

54

Step-by-step explanation:

Use the given conditions to write an equation for the line in the indicated form.
Passing through (2, 2) and perpendicular to the line whose equation is y = 4x + 7;
point-slope form
A)y=-4x-10
B)y-2=-1/4(x-2)
C)y-2=1/4(x+2)
D)y-2=1/4(x-2)

Answers

Answer:

B) y - 2 = (-1/4)(x - 2)

Step-by-step explanation:

Start with the equation of the given line: y = 4x + 7.

Determine the slope of the given line, which is 4.

Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.

Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).

Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.

Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.

Simplify further: y = (-1/4)x + 5/2.

The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.

for whoever can help me on this question i will mark brainliest. i would also really appreciate the help! :)


6. Transform the given function f(x) as described.
f(x)= |x|
Reflect across the x-axis
Translate up 1 unit
A g(x) = |x-3|- 1
B g(x) = |x+3|+ 1
C g(x) = 2|x| - 1
D g(x) = -|x| +1

Answers

Answer:

Transform the given function f(x) as described.

f(x)= |x|

Reflect across the x-axis

Translate up 1 unit

A g(x) = |x-3|- 1

B g(x) = |x+3|+ 1

C g(x) = 2|x| - 1

D g(x) = -|x| +1

for whoever can help me on this question i will mark brainliest. i would also really appreciate the help!

Rewrite the following expression: x^-7

Answers

1/x^7 that’s the answer. !

3
Which equation best describes the graph?
y
8
6
2
-8
-6
-4
2
4
6
-2
-6
-8
A y = 2x + 4
C y = –2x + ]
B
= 3x+4
y
O y=-3x+4

No links please

3Which equation best describes the graph?y862-8-6-4246-2-6-8A y = 2x + 4C y = 2x + ]B= 3x+4yO y=-3x+4No

Answers

Answer:

D) y = -1/2x + 4

Step-by-step explanation:

Points on the graph: (0, 4) and (8, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0 - 4)/(8-0)

m= -4/8

m = -1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = -1/2(x - 0)

y - 4 = -1/2x

y = -1/2x + 4

solve and graph the inequality 4x > 16

solve and graph the inequality 4x > 16

Answers

Answer:

B.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

solve and graph the inequality 4x > 16

Please help thank uuuuu

Please help thank uuuuu

Answers

Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

Battery life between charges for the Motorola Droid Razr Maxx is 20 hours when the primary use is talk time (The Wall Street Journal, March 7, 2012). The battery life drops to 7 hours when the phone is primarily used for Internet applications. Assume that the battery life for both uses follows an exponential distribution.
a. Show the probability density function for battery life for the Droid Razr Maxx phone when its primary use is talk time.
b. What is the probability that the battery charge for a randomly selected Droid Razr Maxx phone will last no more than 15 hours when its primary use is talk time?
c. What is the probability that the battery charge for a randomly selected Droid Razr Maxx phone will last more than 20 hours when its primary use is talk time?
d. What is the probability that the battery charge for a randomly selected Droid Razr Maxx phone will last no more than 5 hours when its primary use is Internet applications?

Answers

a. The PDF for battery life when the primary use is talk time is f(x) = 0.05e^(-0.05x)

b. The probability that the battery charge will last no more than 15 hours when the primary use is talk time is 0.393

c. The probability that the battery charge will last more than 20 hours when the primary use is talk time is 0.4493

d. The probability that the battery charge will last no more than 5 hours when the primary use is Internet applications is 0.3935

a. The probability density function (PDF) for battery life when the primary use is talk time can be modeled using the exponential distribution, given by

f(x) = λe^(-λx)

where λ is the rate parameter, which can be calculated as the reciprocal of the mean battery life. Since the mean battery life is 20 hours, λ = 1/20 = 0.05. Therefore, the PDF for talk time battery life is

f(x) = 0.05e^(-0.05x)

b. To find the probability that the battery charge will last no more than 15 hours when its primary use is talk time, we need to calculate the cumulative distribution function (CDF) and evaluate it at x = 15

F(x) = ∫[0,x] f(t) dt

F(15) = ∫[0,15] 0.05e^(-0.05t) dt ≈ 0.393

Therefore, the probability that the battery charge will last no more than 15 hours when its primary use is talk time is 0.393, or 39.3%.

c. To find the probability that the battery charge will last more than 20 hours when its primary use is talk time, we need to subtract the probability that it will last no more than 20 hours from 1

P(X > 20) = 1 - P(X ≤ 20) = 1 - F(20)

where F(x) is the CDF of the battery life distribution. From part b, we know that F(15) ≈ 0.393, so we can use this value to calculate F(20)

F(20) = ∫[0,20] 0.05e^(-0.05t) dt ≈ 0.5507

Therefore, P(X > 20) ≈ 1 - 0.5507 ≈ 0.4493, or 44.9%.

d. The PDF for battery life when the phone is primarily used for Internet applications can also be modeled using the exponential distribution. From the problem statement, we know that the mean battery life for this use is 7 hours, so the rate parameter is λ = 1/7 = 0.1429. Therefore, the PDF for Internet use battery life is

f(x) = 0.1429e^(-0.1429x)

To find the probability that the battery charge will last no more than 5 hours when its primary use is Internet applications, we can calculate the CDF

F(x) = ∫[0,x] f(t) dt

F(5) = ∫[0,5] 0.1429e^(-0.1429t) dt ≈ 0.3935

Therefore, the probability that the battery charge will last no more than 5 hours when its primary use is Internet applications is 0.3935

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Write in Slope Intercept Form :-)

Write in Slope Intercept Form :-)

Answers

Answer:
y = -5x + 2

Explanation:
Write in Slope Intercept Form :-)

If you know union and intersection of intervals, please help.

If you know union and intersection of intervals, please help.

Answers

the union of two sets of numbers is nothing more than the combination of all these 2 sets,

To fnind the union of E and F, we will join these 2 sets

E represents the numbers greater than 4, including 4

F represents the numbers ess than 6, not including 6

The union is represent by,

\(E\cup F=(-\propto,6)\cup\lbrack4,\propto)\)

Now, the intersection of two sets of numbers is the common number of the sets

In this case we don't have common numbers, so

\(E\cap F=\emptyset\)

Find the measure of each angle in the following triangle

Find the measure of each angle in the following triangle

Answers

step 1 find x
all the angles should add up to 180
6x-15+3x+9+x+6=180
move 6, 9 and -15 to 180 side
6x+3x+1x=180
add 6x+3x+1x
10x=180
180/10= 18

x is 18

R=6(18)-15 = 93
P=3(18)+9 = 63
Q=18+6 = 24

double check:
93+63+24= 180

The ratio of books to magazines at Jessica’s house is 5:3. If there are 21 magazines at Jessica’s house, how many books are there?

Answers

Answer:

There are 35 books

Step-by-step explanation:

I hope this HELP! :)

Question 3 of 15
Parvati goes to the movies with $16 in her wallet. She buys
a ticket for $6.25 and two snacks for $2.25 each. How
much money does she have left?

No links plsss remember no links pls

Question 3 of 15Parvati goes to the movies with $16 in her wallet. She buysa ticket for $6.25 and two

Answers

'D'

本题已由中国数学会官方解答(现有会员:3人)  

D.

\(16 - (6.25 + 2 \times 2.25)\)

Suppose that the length of a certain rectangle is four centimeters more than three times its width. If the area of the rectangle is 39 square centimeters, find its length and width.

Answers

Answer:

13 cm and 3 cm

Step-by-step explanation:

The area of the rectangle is 39 cm^2, so the length and width must multiply to equal 39. Since the length, or L, is 4 cm more than 3 times the width, or W, which makes an equation like this, L=3W+4

In this case, 13 is 4 more than 3 times of 3, or 9, since 9+4=13. So, the length of the rectangle is 13 cm while the width is 3 cm.

Hope this helps!

A park designer wanted to place a fountain so that it was close to the slide. He was given two distances as an option 1 3/4 feet or 1 5/12 feet from the slide.
Which distance is closer to the slide? Show your work to compare the two distances

Answers

Answer:

200 ft

Step-by-step explanation:

you trie it might help

hope it helps god is with u

Unions, intersections, and complements involving 2 sets
Sets B and C are subsets of the universal set U.
These sets are defined as follows.
U={f, k, m, s, x, y, z)
B={k, s, y}'
C={s,z}
(a) B'UC' = 1
(b) B'nc =

Answers

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Compare the three data sets on the right.


​(a) Which data set has the greatest sample standard​ deviation?


Which data set has the least sample standard​ deviation?


​(b) How are the data sets the​ same? How do they​ differ?

Compare the three data sets on the right.(a) Which data set has the greatest sample standard deviation?Which
Compare the three data sets on the right.(a) Which data set has the greatest sample standard deviation?Which

Answers

Answer:A just took the test and got a 100

a) The graph II will tell the greatest sample standard​ deviation.

and, the least sample standard​ deviation is given by Graph III.

b)  The three data sets have same mean, median and mode but different

standard deviation.

what is Standard Deviation?

The term "standard deviation" (or "\(\sigma\)") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

From the Graph we can say the the dispersion of data from the mean tells about the Standard deviation.

Then, the graph II will tell the greatest sample standard​ deviation.

and, the least sample standarddeviation is given by Graph III.

b)  The data sets have same mean but different standard deviation.

So, The three data sets have same mean, median and mode but different

standard deviation.

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Solve: x+9= x- 11
Quiero una respuesta

Solve: x+9= x- 11Quiero una respuesta

Answers

9=-11
Have a great day

The inequality log8(2x) < log2(x – 2) can be graphed on the graphing calculator by using the inequalities log8(2x) < y and y < log2(x – 2). What is the solution set of the inequality? (0, 4) (–∞, 4) (4, ∞) (–∞, 0]

Answers

Answer:

c - (4, ∞)

Step-by-step explanation:

answer on edg

Answer:

Answer is choice C .   (4, ∞)

Step-by-step explanation:

on edge

Simplify the expression 4(2f−5g) + 6g

Answers

First step expand the brackets so

8f-20g+6g

Then collect like terms which in this case there is only like terms of g

So

8f-14g

Also a picture below to see only with different numbers but in this case x is f and y is g but the same answer above
Simplify the expression 4(2f5g) + 6g

The simplification of the given expression is 8f - 14g

Expression:

An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations

Here we have given that the expression 4 (2f - 5g) + 6g

How to simplify the expressions?

Expand the bracket with 4 times as well we get

8f - 20g + 6g

Add the like terms coefficients we get

8f - 14g

Since there is only one operation is left and two variable are left hence they can not add or subtract more.

Hence the final answer is 8f - 14g

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Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.

Answers

Answer:

The answer is C : $115.54

Step-by-step explanation:

If you add every single items cost together, the total is $109.00

60 + 14 = 74

10 + 25 = 35

74 + 35 = $109

You then caculate what 6% percent of 109 is = $6.54

After that, you add the total and percent together

$6.54 + $109.00  = $115.54

Answer:answer is c

Step-by-step explanation:I took edge 2022

12. Find the slope and y-intercept of the line. y= 1/5x-8

Answers

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the problem want us to find:

slopey-intercept

Let's gather the information:

  ⇒ the information given: y = 1/5 x - 8

        ⇒ the line is in slope-intercept form

            ⇒ means:

                     ⇒ coefficient in front of 'x' is the slope

                     ⇒ constant is the y-intercept

slope is 1/5y-intecept is -8

Answer:

Slope is 1/5y-intercept is -8

Hope that helps!

#LearnwithBrainly

Hi!

The equation that we're working with is provided to us in Slope-Intercept Form:

        \(\diamondsuit~~~\large\boldsymbol{y=mx+b}\)

In the formula, the letter "m" denotes the slope, and it always comes before x; b is the y-intercept, and it's basically a number that is either added or subtracted from x.

Now let's identify the slope of the line given to us, that is:

\(\boldsymbol{\underline{\underline{y=1/5x-8}}}\)

Slope = number before x,

Y-intercept = number added/subtracted from the slope

Therefore,

\(\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:\displaystyle\frac{1}{5}}\\\bold{Y-intercept:-8}\end{cases}}}}\)

I hope it helped! Let me know if you need any explanation or clarification! I'm always happy to help. :D

Using a rating scale, Tekinarslan (2008) measured computer anxiety among university students who use the computer very often, often, sometimes, and seldom. Below are the results of the one-way ANOVA. Source of Variation SS df MS F Between groups 1,959.79 3 653.26 21.16* Within groups (error) 3,148.61 102 30.86 Total 5,108.41 105 (a) What are the values for N and k

Answers

Answer:

K = 4 ; N = 106

Step-by-step explanation:

Given the following :

Source of VARIATION - SS - df - - MS - - - - - F

Between groups - 1,959.79 - 3 - - 653.26 - 21.16*

Error - - - - - - - - 3,148.61 - - - - 102 - - 30.86

Total - - - - - - - - - - - 5,108.41 - 105

The degree of freedom between group (treatment) (DFT) is obtained using the formula ;

K - 1, where k = number of groups observed

DFT = K - 1 ; From the ANOVA table, DFT = 3

3 = K - 1

3 + 1 = K

K = 4

To obtain sample size (N) :

Degree of freedom of Error (DFE) is the difference between the sample size and the number of groups observed.

DFE = N - K ; From. The table DFE = 102 ; K = 4

102 = N - 4

102 + 4 = N

N = 106

Factor​ to write an equivalent expression: 5a - 10

Answers

5(a -2)
Djkajksnsj (gay panic because the answer he to be more the 20 characters)
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Based on the map, why were the Maya most likely drawn to Tulum? If the frequency of vibration for a C-O bond is -1100 cm-1, the vibration frequency for a C-Cl bond would be A higher. B lower. C not possible to determine with the information given. D identical. Indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown.2x - 4 = 2(x - 2) Between early 2018 and late 2019, total planned expenditures by U.S. households substantially increased in response to changes in federal tax laws that resulted in a net tax reduction. Explain, from a short-run Keynesian perspective, the pre-dicted effects of this event on the equilibrium U.S. price level and equilibrium U.S. real GDP. Be sure to discuss the spending gap that the Keynes-ian model indicates would result in the short run. When calculating the effective rate of a loan, which statement or statements must be true if n is equal to 1? I. The nominal rate equals the effective rate. II. The length of the loan is exactly one year. III. The interest is compounded annually. A. I and III b. II and III c. I only d. III only Please select the best answer from the choices provided A B C D. please help my brain isnt working help ASAP!! 7. Write an expression to represent the area of the shaded region:4x - 3X-2Ex+7X-107 Classify the following number: - 1/6 2 12 92% + 2 Investment and Capital Stock (15 points) When disuessing the business cycles, and introducing the IS curve, we stated that investment demand is the most volatile part of expenditure. In this exercise, you are going to work through an example that helps explaining why investment might be so volatile, and sheds some light on how the IS curve is based on the actual optimizing decisions made by firms. Consider a simple model of a representative firm, similar to the one we discussed in Chapter 4. The firm currently has a stock of capital K and has to decide about its stock of capital in the next period (say, year - let's call it period 2), K'. The firm determines the desired level of K' based on two parameters: expected future productivity z, and the real interest rate Rit faces. Once the firm decides how much capital next period it wants (what is the desired level K), the firm undertakes investment I to achieve this level of capital. K' is determined through a standard Inw of motion for capital, like the one we used in the Solow model: K' = (1 - 8)K+ where 8 is the depreciation rate. Next period, the firm uses the capital stock K' it achieved to produce output Y using a Cobb-Douglas production function: Y = (K) . we assume that the labor input N is constant over time, so we don't have to worry about it. From Chapter 4, we know that the marginal product of capital (MPK) for this production function is given by: MPK = az(K)-! It can be shown that the the optimal amount of capital is given by the standard condition: MPK = R a. Use the optimality condition (MPK = R) to derive the optimal level of future capital K' for this firm as a function of parameters and prices (K, 0, 2, R, and 6). This should take the form of an equation where you have K' on the left-hand side, and all the parameters on the right-hand side. Does the optimal amount of capital in period 2 (K), depend on the initial value of capital (K)? b. Use the result from part a) and the law of motion for capital to solve for optimal investment (1) the firm should do between periods 1 and 2 Use trigonometry with each of the following problems. DO NOT USE THE PYTHAGOREAN THEOREM! Read and follow each set of directions. 1. Use only trigonometry to solve a right triangle with right angle C the population of town a increases by 39% every 6 years. what is the annual percent change in the population of town a? HELP ASAP! Number the following steps of the light dependent reactions 1-in the order in which they occur the energy lost by electrons as they pass through the electron transport chain is used to make ATP 2-the electrons pass from the chlorophyll to electron transport chain3-sunlight strikes the chlorophyll molecules in the thylakoid membranes 4-NADP plus molecules change the NADPH as they carried the electrons to the stroma of the chloroplast 5-the sunlight energy is transferred to the core fills electrons 6-the electrons are passed down a second electron transport chain A square garden with side length of 50 has a square shaped fountain display with length of 12 feet at the exact center of garden find the area of the garden What is an equation of the line that passes through the points (8,1) and (4,1)? for the following reaction, 3.67 grams of oxygen gas are mixed with excess carbon (graphite) . the reaction yields 3.74 grams of carbon dioxide . PLEASE HURRY ITS TIMED!!!Which choice below is NOT a benefit we have because of volcanoes?A. Geothermal energyB. TsunamisC. Fertile soilD. Beautiful scenery (e) The cost of building the ship was $153 000 000. Write 153 000 000 in standard form. Describe the connection between soil quality and water quality. tavy farming in Madagascar is another name for Please Help! 10 extra points if the answer is correct. (Book: Fever 1793)I need 3-4 for each:Negative, Neutral, and positive connotations from the book Fever 1793