michelle

An animal population oscillates over an eight-year period between a low of 1200 at time t = 0 and a

high of 3000 four years later.

(a) Model this behavior with a sinusoidal function P = f(t), representing the animal population at

time t.

(b) Find the t-values when the population equals 2000.

thank you:)

A manager at Saks Fifth Avenue wants to estimate the number of customers to expect on the last shopping day before Christmas. She collects data from three previous years, and determines that the crowds follow the same general pattern. When the store opens at 10 am, 500 people enter, and the total number in the store doubles every 46 minutes. When the number of people in the store reaches 7,000 security guards need to be stationed at the entrances to control the crowds.

At what time t should the guards be commissioned?

Can someone show me or explain how i can attempt & do this problem..

i dont know where to start.. & overall confused.

Thank you!

Find a formula for the exponential function satisfying the given conditions.

g(2)=72 and g(4)= 648

can someone please show me how i can do/attempt this problem.. im seriously confused :(

Can someone please show me how i can attempt/start this problem? Im thinking of using the quadratic formula but when i tried using it.. i got an interesting number.. so as of now i'm completely lost with this specific question.. :( Please help! Thank you so much!!

A ballet dancer jumps into the air. The height, h(t) , in feet, of the dancer at time t, in seconds since the start of the jump, is given by h(t) = - 16t^2 + 12.800t

How much time in seconds is the dancer in the air?

Approximate all answers to three decimal places.

What is the maximum height of the jump and when does the maximum height of the jump occur?

I was cleaning up my chemistry binder from this semester & thought it would be fun to try out this problem.. i remember loving to do these type of problems but for some reason i'm stuck & its driving me crazzy!! haha.. can someone please show me how to do this problem so i can finally look away .. thankss!!!!

CaO can be used as a drying agent. One such application occurs when water is added to dry concrete or cement. The reaction that occurs is

CaO(s)+H2O(l)<=>Ca(OH)2(s)



The product is called slaked lime.

Assuming standard temperature, calculate ΔStotal for this reaction using data from the table below.

(sorry the table is kinda hard to read but i numbered everything up :))

Substance

1. CaO (s)

2. H2O (l)

3. Ca(OH)2 (s)

S° [J/(K mol)]

1. 39.9

2. 69.9

3. 83.4

ΔH° (fahrenheit) [kJ/mol]

1. -635.1

2. -285.8

3. -986.1

what is the present value of a $1000 which pays $50 a year for 10 years, starting one year from now? Assume interest rate is 6% per year, compounded annually.

thanks!

h(x) = ln(1-2x)

how can you check that these functions are inverses:

f(x)= x/4 - 3/2 & g(t)= 4(t + 3/2)

h(x) = √2x & k(t) = t^2/2, for x, t>0

i really do not understand how to check that they are inverses.. im not sure where to start..

solve the equation sin 4x + sin x = 0 for values of x in the interval 0<x<2pi by applying an identity to the left side of the equation

.. i cant seem to figure this out .. can someone please explain to me where i can start this problem.. THANKS :)

describe in words how you can obtain the graph of y=cos(5x+pi/4) from the graph of y=cos(5x)

thanks in advance :)

A football player kicks a ball at an angle of 37 above the ground with an initial speed of 20 meters/second. The height, h, as a function of the horizontal distance traveled, d, is given by :

h= 0.75d- 0.0192d^2

a)when the ball hits the ground, how far is it from the spot where the football player kicked it?

b) What is he maximum height the ball reaches during its flight. Using completing the square.

c)What is the horizontal distance the ball has traveled when it reaches its maximum height?

THANK YOU so much in advance :))

I really need help setting up an equation for this problem..

In a country where inflation is a concern, prices have risen by 40% over a -year period.

b)How long does it take for prices to rise by 5%?

c) use a continuous growth rate to model inflation by a function of the form P=Poe^rt

thanks so much :)

Subject- PRECALC: Log. & exponential models.

The number of cases of sepsis, an immune response to infection or trauma, has been growing exponentially and has doubled in this country in the last 5 years.

a) find the continuous annual percent growth rate in the number of cases.

b) if this growth rate continues, how many years will it take for the number of cases to triple?

THANKS so much in advance :)

Can someone please explain to me how to start/attempt these few problems? i have an idea but i'm still completely lost :(

Directions- Find a Formula for the exponential function.

1) V=h(t) gives the value of an item initially worth $10000 that loses half its value every 5 years.

2)A population grows from 11000 to 13000 in three years. Assuming the growth its exponential, find the: a) Annual growth rate & b) continous grown rate

3) A population increases from 5.2 million at an annual rate of 3.1%. Find the continuous growth rate.

THANKS in advance :)

Can someone please explain to me how i can approach this problem?

A 2006 Lexus costs %61,055 and the car depreciates a total of 46% during its first 7 years.

a) Suppose the depreciation is exponential. Find a formula for the value of the car at time t.

Thank you so much for your time & help :)

The city of baltimore has been declining in population for the last fifty years. In the year 2000, the population of baltimore was 651 thousand and declining at a rate of 0.75% per year. If this trend continues:

a) Give a formula for the population of Baltimore, P, in thousands, as a function of years, t, since 2000.

b) What is the predicted population in 2010?

c) To two decimal places, estimate t when the population is 550 thousand.

Thank you for putting your time into reading this question.. i honestly dont know where to start with this problem.. my professor never finished the section & the hw is due tomorrow :(!

Sales of energy-efficient compact florescent lamps in China have been growing approximately exponentially. The table (Click this link to view table/graph--->http://www.wolframalpha.com/input/?i=exponential+%... shows the sales in millions.

A) what annual percent growth rate does the exponential model show?

B) If this growth rate continues, what sales are predicted in the year 2010?

THANK YOU SO MUCH :)!

I am looking for a Mitsubishi Lancer Evolution X model with a midnight black color!

Since I was a child my Dad and I have never gotten close. Recently, my mother moved out on us due to mental health/issues. Here and there my Dad and I give each other hard times and tend to argue about small things which eventually leads to a bigger problem. In the long run, I know that my Dad truly loves me despite all the mean things he has ever called me. I truly love my Dad as well but due to my stubbornness I try not to show him. I know that I could be a better daughter to him but I choose not to because my Dad is very hard to understand. I know he's trying to be a better Dad to me and be apart of my life as well/help me out. When I look back on the past, I know that he was always trying but I was simply not letting him be a father to me because I would make rude comments, etc. Deep down I feel bad for my Dad, I know he is living a hard life. I should have been there more for him during those times in need. I wish I can fix the past but I can't, I can only focus on the future. My main issue is, I'm coming to the point in life where I need to start living on my own and not in his household. I feel like I can't just neglect and leave him because I'm afraid he will become depressed. I don't want to keep putting his burdens on top of my burdens. I feel like every time I cry, I'm crying for my Dad's misery and the times I hurt him inside. I just want to become a better daughter and truly tell him that he means a lot to me and I love him a lot because he truly is a great Dad. Any advice for what I should do?