Sylvia is considering depositing $600 at the end of each semi-annual period, for 5 years earning interest of 8%. She would like to know how large a one-time lump sum deposit she could make, at the same rate, to have the same amount of money after 5 years.

Sylvia later decides needs $ 11,000 in 8 years. She has the opportunity to make a one-time investment that will earn 10% compounded quarterly. How much must she invest to reach her goal?

Develop a real world scenario that illustrates the Order of Operations . Your post should include a mathematical expression that represents your unique scenario, and a step by step explanation of how the Order of Operations is used to find your answer.

INFORMATION FROM THE VIDEO: THE LIZARD DID 8 PUSH-UPS IN 13 SECONDS.

Assumptions:

There are 121 dietary Calories (kilocalories) in 100 grams of crickets

The crickets (that the lizard we see in the video eats) weigh 0.5 grams each

It takes 0.1 dietary Calories of energy for the lizard to do one push-ups

The lizard in the video spends a total of 30 minutes of each day doing push-ups

During his 30 minutes of push-ups, he does them at the same rate that you see in the video

The lizard does these displays every day for 30 days during the breeding season

The question you need to answer is: How many crickets did the lizard need to eat to fuel his 30 days of push-up displays?

To find out how many total push-ups the lizard did during the breeding season, count how many push-ups he did in the video and how long it took him to do them. You now have a push-up count per unit time that you can use to figure out how many push-ups the lizard would do per day and how many he would do in 30 days. (For example, if he did one push-up per minute, then he would be able to do 30 push-ups in 30 minutes. At 30 minutes per day, he would do 900 push-ups in 30 days.)

Calculate how many dietary Calories he spent doing all those push-ups. (Continuing our example, 900 push-ups x 0.1 calories = 90 dietary Calories) Note - you can leave your answers in dietary Calories, no need for conversion.

Calculate how many dietary Calories there are in a cricket.

Calculate how many crickets he would have to have eaten to fuel all those push-ups.

Let X be a finite set. Describe the equivalence relation having the greatest number of distinct equivalence classes, and the one with the smallest number of equivalence classes.

abstract algebra

Let G be a finite abelian group of order n

Prove that if d is a positive divisor of n, then G has a subgroup of order d.

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In June 2001 the retail price of a 25-kilogram bag of cornmeal was $8 in Zambia; by December the price had risen to $11.† The result was that one retailer reported a drop in sales from 14 bags per day to 2 bags per day. Assume that the retailer is prepared to sell 4 bags per day at $8 and 16 bags per day at $11. Find linear demand and supply equations, and then compute the retailer's equilibrium price.

Part I

Which of the following are positive in the second quadrant?

A. sec and cos

B. tan and cot

C. sin and csc

D. sec and csc

Which of the following pairs have the first function positive and the second function negative in the third quadrant?

A. cos and sec

B. tan and cos

C. sin and cot

D. csc and sin

Part II

Which of the following are positive in the first and second quadrants?

A. sin and csc

B. tan and cos

C. sec and sin

D. cot and sec

Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.)

x2 − 2.25y2 + 22.5y − 92.25 = 0

Cost of common stock equity Ross Textiles wishes to measure its cost of common stock equity. The​ firm's stock is currently selling for ​$64.19. The firm just recently paid a dividend of ​$4.04. The firm has been increasing dividends regularly. Five years​ ago, the dividend was just ​$2.99.

After underpricing and flotation​ costs, the firm expects to net $58.41 per share on a new issue.

A. Determine average annual dividend growth rate over the past 5 years. Using that growth​ rate, what dividend would you expect the company to pay next​ year?

B. Determine the net​ proceeds, Nn​, that the firm will actually receive.

C. Using the​ constant-growth valuation​ model, determine the required return on the​ company's stock, rs​, which should equal the cost of retained​ earnings, rr.

D. Using the​ constant-growth valuation​ model, determine the cost of new common​ stock, rn.

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A. The average annual dividend growth rate over the past 5 years is ___ % ​(Round to two decimal​ places.)

Using that growth​ rate, the dividend you expect the company to pay next year is ​$__. ​(Round to two decimal​ places.)

B. The net​ proceeds, Nn​, the firm will actually receive are __ (Round to two decimal​ places.)

C. Using the​ constant-growth valuation​ model, the cost of retained​ earnings, rs​, is __%. ​(Round to two decimal​ places.)

D. Using the​ constant-growth valuation​ model, the cost of new common​ stock, rn​, is __%.​(Round to two decimal​ places)

In order to get into the Ferris wheel, you first must climb onto a platform several feet above ground level. That platform accommodates the cars (also called gondolas) to pass by without touching the ground. From that platform, the cars then travel a total of 224 feet in the air. The Ferris wheel has a radius of 106 feet. Using this information, answer the following questions. You can type the answers to questions 1-5, but 6 and 7 should have hand-written work to accompany any answer you provide. Answers without handwritten submissions will not be awarded any points for questions six and seven.

1) What is the diameter of the Ferris wheel? 212ft

2) How close to the bottom of the cars come to the ground? 12 ft

3) Given the information from question 2, about how high is the platform if you walk from the platform into the floor of the gondolas with no gap in height? 12ft

4) How high is the center of the Ferris wheel from the ground?

In order to answer questions 5 and 6, you’ll need to imagine the image of a Ferris wheel superimposed onto a coordinate grid.

5) Assuming the center of the Ferris wheel lies on the y-axis, what would the coordinates of the center of the Ferris wheel be?

6) Use the information from the problem, and your answer to part 5, to write an equation of the wheel.

7) In one rotation, how far does a patron travel while riding the Ferris wheel at the State Fair of Texas?

The initial size of a culture of bacteria is 1500. After one hour the bacteria count is 6000.

A.) Find a function n(t) = n₀e^rt that models the population after t hours (round your r value to five decimal places.) n(t)=

B.) Find the population after 1.5 hours. (round answer to nearest whole number.) n(1.5)=

C.) After how many hours will the number of bacteria reach 10,000? (round your answer to one decimal place.)

An investment firm recommends that a client invest in bonds rated​ AAA, A, and B. The average yield on AAA bonds is 4​%, on A bonds 5​%, and on B bonds 8​%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond under the following​ conditions? A.  The total investment is ​$18 comma 000​, and the investor wants an annual return of ​$940 on the three investments. B.  The values in part A are changed to ​$33 comma 000 and ​$1 comma 720​, respectively. A.  The client should invest ​$ nothing in AAA​ bonds, ​$ nothing in A​ bonds, and ​$ nothing in B bonds.

Solve the following linear programming problem using generalised simplex method

Maximise z= 2x1+3x2

subject to -2x1+x2>=3

3x1+x2<=5

x1,x2>=0

Find the solution set of the linear system: {█(■(

x_1+x_4=260

-x_3+x_4+x_5=-200

x_2+x_3=300

x_1-x_2-x_5=150