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1. One estimate for the ideal body weight is shown below. Use…

1. One estimate for the ideal...

1. One estimate for the ideal body weight is shown below. Use this information to answer (a).
47 kg + 1.2 kg for each inch over 5 feet

(a) Find a linear model for an estimate of the idea weight of a woman using w for ideal weight (in kilograms) and h for height over 5 feet (in inches).
W=__ (type an equation using h as the variable)

2. At low altitudes the altitude of a parachutist and time in the air are linearly related. A jump at 3,900 feet lasts 150 seconds.
(a) Find the linear model relating altitude a (in feet) and time in the air t (in seconds).
(b) Find the rate of change of the parachutist in the air
(c) Find the speed of the parachutist at landing

3. The speed of sound through air is linearly related to the temperature of the air. If sound travels at 319 m/sec at 0 degrees Celsius and at 331 m/sec at 30 degrees Celsius, construct a linear model relating the speed of sound (s) and the air temperature (t). Interpret the slope of this model.
Construct a linear model relating the speed of sound (s) and the temperature (t)
S=___ (type an equation using the t as the variable)

4. Solve the system by the substitution method.
X+ 2y=-1
Y+-2x-14
Select the correct choice below and fill in any boxes present in your choice.
a. The solution is ___ (type an ordered pair)
b. There are infinitely many solutions
c. There is no solution

5. Solve by substitution method.
x-y+3
6x+4y=-22
What is the solution of the system? Select the correct choice below and fill in the answer box within your choice.
a. The unique solution to the system is ___ (Type an ordered pair)
b. There are an infinite number of solutions.
c. There is no solution

6. Solve the system by the addition method.
2x+15y=6
3x-15y=9

Select the correct choice below and fill in the answer box within your choice.
a) The unique solution to the system is ___ (Type an ordered pair)
b) There are an infinite number of solutions.
c) There is no solution

7. Solve by using substitution or elimination by addition.
2x-4y=38
5x+3y=4
Select the correct choice below and fill in the answer box within your choice.
a) The unique solution to the system is ___ (Type an ordered pair)
b) There are an infinite number of solutions.
c) There is no solution

8. Solve by using substitution or elimination by addition.

4x+7y= 5
-40x-70y=-49

Select the correct choice below and fill in the answer box within your choice.
a) The solution is ___ (Type an ordered pair)
b) There are an infinite number of solutions.
c) There is no solution

9. Solve by using substitution or elimination by addition.
2x+7y=-4
4x+8y=-8

a) The solution is ___ (Type an ordered pair)
b) There are an infinite number of solutions.
c) There is no solution

10. Solve by using substitution or elimination by addition.
4x-3y= 4
-8x+6y=-8

Select the correct choice below and fill in the answer box within your choice.
a) The unique solution to the system is ___ (Type an ordered pair)
b) There are an infinite number of solutions.
c) There is no solution

11. At $0.47 per bushel, the daily supply for wheat is 475 bushels, and the daily demand is 576 bushels. When the price is raised to $0.86 per bushel, the daily supply increases to 605 bushels, and the daily demand decreases to 381 bushels. Assume that the price-supply and price demand equations are linear.
a. Find the price supply equation
P=___ (Type an expression using q as the variable. Round to three decimal places as needed.)

12. A company markets exercise DVDs that sell for $14.95, including shipping and handling. The monthly fixed costs (advertising rent, etc. ) are $14.620 and the variable costs (material, shipping etc) are $6.45 per DVD.
a. Find the cost equation ___and the revenue equation___
b. How many DVDs must be sold each month for the company to break even?

13. The United Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed $23.00 for shipping a 3-pound package and $79.25 for a 18-pound package. Find the base price and the surcharge for each additional pound.
The Base price is $___

14. The animals in an experiment are to be kept under a strict diet. Each animal should receive 35 grams of protein and 6 grams of fat. The laboratory technician is able to purchase two food mixes: Mix A has 30% protein and 8% fat; mix B has 50% protein and 5% fat. How many grams of each mix should be used to obtain the right diet for one animal?
One animal’s diet should consist of__ grams of Mix A

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Ask Your Own Pre-Calculus Question

Answered in 1 minute by:

6/17/2013

Tutor: Chirag, Master's Degree replied 9 years ago

Chirag, Master's Degree

Category: Pre-Calculus

Satisfied Customers: 12,192

Experience: I have a Master's degree in Engineering and a very wide teaching experience of more than 25 years at various levels.

Verified

Hi, Welcome and Thanks for using Just Answer

You need only the final answers right?

By when do you need them?

Customer reply replied 9 years ago

Yes just final answers. The math is actually finite math. I need it by noon Wednesday. I have more work for you too that I am about to post.

Tutor: Chirag, Master's Degree replied 9 years ago

I will post the answers for this by Tuesday latest. If you are posting new questions, please make new posting and put my name "For Guru 2009" on it.

Thanks.

Customer reply replied 9 years ago

I will do that. I plan to send you about three of these a week if your answers are good. I want to stick with one person.

Thanks

Tutor: Chirag, Master's Degree replied 9 years ago

Yes, I will try and do good work for you. I will verify my answers before posting.

Tutor: Chirag, Master's Degree replied 9 years ago

Here is the answer file http://www.sendspace.com/file/m6n3qc

I hope that helps. Let me know if you need any clarifications. PLEASE RATE MY ANSWER (TIP IF HAPPY).

Thanks.

Chirag, Master's Degree

Category: Pre-Calculus

Satisfied Customers: 12,192

Experience: I have a Master's degree in Engineering and a very wide teaching experience of more than 25 years at various levels.

Verified

Chirag and 87 other Pre-Calculus Specialists are ready to help you

Ask your own question now

Customer reply replied 9 years ago

Resend as a word document. My antivirus does not like this url. I am also scanning this in virus total.

Tutor: Chirag, Master's Degree replied 9 years ago

Ok, will send again. Thanks.

Customer reply replied 9 years ago

I was able to open. Great job. I have more work for you tomorrow.

1. Using the formula for simple interest and the given values, find I.
P=$200; r=6%; t=4 years; I=?
I=$__

2. Using the formula for simple interest, I=Prt, to find the indicated quantity.
I=$36; r=6%; t=3 months; P=?
P=$___

3. Determine the present value P you must invest to have value A at simple interest rate r after t.
A=$2000.00, r = 14.5%, t=26 weeks
$___ (Round to the nearest cent)

4. A radio commercial for a loan company states: “You only pay 29 cents a day for each $500 borrowed. “ If you borrow $1,922 for 235 days, what amount will you repay, and what annual interest rate is the company actually charging? (assume a 360-day year)
a. Amount you repay=$___ (Round to two decimal places)
b. Annual interest rate=___% (Round to four decimal places)

5. Use the compound interest formula to find the future value A for the following values.
P=$500
I=0.045
N=25
A=$___ (Round to the nearest cent)

6. Given the annual interest rate and the compounding period, find i, the interest rate per compounding period.

8% compounding monthly
i=___% per month (Type an integer or decimal rounded to the nearest thousandth as needed)

7. Given the rate per compounding period, find r, the annual rate.
4.325% per quarter
R=___% (Round to three decimal places as needed)
8. A newborn child receives a $5000 gift toward a college education from her grandparents. How much will the $5000 be worth in 18 years if it is invested at 6% compounded quarterly?
It will be worth$___ (Round to the nearest cent)

9. Find I (the rate per period) and n (the number of periods) for the following annuity.
Quarterly deposits of $1,100 are made for 5 years into an annuity that pays 6% compounded quarterly.
I=___ (Type an integer or decimal rounded to four decimals places as needed)
N=___
10. Recently, More Money 4U offered an annuity that pays 5.1% compounded monthly. If $922 is deposited into this annuity every month, how much is in the account after 4 years? How much of this is interest?
Type the amount in the account: __ (Round to the nearest dollar)
Type the amount of interest earned: $___ (Round to the nearest dollar)

11. A company estimates that it will need $157,000 in 9 years to replace a computer. If it establishes a sinking fund by making fixed monthly payments into an account paying 5.4% compounded monthly, how much should each payment be?
The amount of each payment should be $___ (Round to the nearest cent)

12. Solve the following problem
PV=$23,897; n=92; i=0.035; PMT=?;
PMT=$___ (Round to two decimal places)

13. American General offers a 14 year-year annuity with a guaranteed rate of 4.81% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $900 annually over the 14 year period?
How much should a customer pay for this annuity?
$___ (Round to the nearest cent)

14. You want to purchase an automobile for $27,046. The dealer offers you 0% financing for 60 months or a $4974 rebate. You can obtain 6.3% financing for 60 months at the local bank. Which option should you choose?
___ Rebate
___ 0% financing
How much money will you save per month?
$___ (Round to two decimal places)

15. Construct the amortization schedule for a $14,000 debt that is to be amortized in 10 equal payments at 6% interest per half-year on the unpaid balance.
Fill out the amortization schedule below. Round all values to the nearest cent
Payment Number Payment Interest Unpaid Balance Reduction Unpaid Balance
0 $___
1 $___ $___ $___ $___
2 $___ $___ $___ $___

Tutor: Chirag, Master's Degree replied 9 years ago

Ok, that's nice.

Thanks for the new set. But as per site policy, we are not to answer two postings in the same thread.

So, can you please open a new posting (Please say "ForCustomeronly") for this set of questions? Please post it under "Calculus and Above" category, and not under Business category. No need to post the questions again.

Thanks.

Tutor: Chirag, Master's Degree replied 9 years ago

Hi

Answers to the new set of problems are ready.

Please open a new posting (Please say "For Guru2009 only") under "Calculus and Above" category, and not under Business category.

Thanks.

Customer reply replied 9 years ago

I submitted the new questions for you only

Tutor: Chirag, Master's Degree replied 9 years ago

Ya, I have posted the answer file there. Thanks.

Customer reply replied 9 years ago

great job!!

Tutor: Chirag, Master's Degree replied 9 years ago

Thanks and welcome.

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