Tutors Answer Your Questions about Linear Algebra (FREE)
Question 246839: Mr. Jones plans to invest up to $22,000 in Wachovia and CCB banks. He will invest at least $2000, but no more that $14,000, in Wachovia. He will invest no more than $15,000 in CCB. Wachovia pays 6% simple interest and CCB pays 6 ˝ % simple interest. How much should he invest in each to maximize income (interest)? What is the maximum interest?
Click here to see answer by Theo(13342)   |
Question 247502: The length of a rectangular field is 50 meters more than twice its width. If the perimeter is 700 meters, find the dimensions of the field.
ALSO
The cost of renting a subcompact car from Super Rental is $20 a day plus 25 cents per mile. How far can Allison drive in one day if she has only $75?
Click here to see answer by oberobic(2304) |
Question 250218: A clothing manufacturer has 100 m of silk and 180 m of wool.
To make a suit requires 2m of silk and 3m of wool, and to make a dress requires 1m of silk and 2m of wool. If the profit on a suit is $108 and the profit on a dress is $60, how many suites and dresses should the manufacturer make to maximize a profit?
My answer
Let P Rep the profit
Let X Rep the number of Suits
Let Y Rep the number of Dresses
Constraints
2x+1y < or = 100
3x +2y < or = 180
x< or = 0
y< or = 0
p=108x + 60y
2x+1y=100 *3
3x+2y=180 *2
_____________
6x+3y=300
6x+4y=360
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-1y= -60
y=60
2x+1(60)=100
2x=40
x=20
the manufacturer should make 20 suits and 60 dresses to maximize profit
Click here to see answer by solver91311(24713)  |
Question 252427: Can someone please help. I cannot figure out the correct formula.
Using a Linear System to Solve an Application. Jane Hooker invests $40,000 received in an inheritance in three parts. With one part she buys mutual funds that offer a return of 2% per year. The second part, which amounts to twice the first, is used to buy government bonds paying 2.5% a year. She puts the rest of the money into a savings account that pays 1.25% annual interest. During the first year, the total interest is $825.00. How much did she invest at each rate?
Answer: ($10,0000 at 2%; $20,000 at 2.5%; and $10,000 at 1.25%)
Click here to see answer by Theo(13342) |
Question 252429: Principles of Counting or Permutations. What formula do I use here.
Telephone Numbers. How many 7-digit telephone numbers are possible if the first digit cannot be 0 and:
a.) Only odd digits may be used. Answer: (78,125)
b.) The telephone number must be a multiple of 10 (that is, it must end in 0). Answer:(900,000)
c.) The telephone number must be a multiple of 100. Answer:(90,000)
d.) The first 3 digits are 481. Answer:(10,000)
e.) No repetitions are allowed. Answer:(544,320)
Click here to see answer by palanisamy(496) |
Question 252428: Can someone please help. I cannot figure out the correct formula.
Using a Nonlinear System.
Modeling Circuit Gain. In electronics, cicuit gain is modeled by G = Bt/R + rt, where “R” is the value of a resister, “t” is temperature, Rt is the value of R at temperature “t”, and B is a constant. The sensitivity of the circuit to temperature is modeled by S = BR/(R + Rt)^2. If B = 3.7 and "t" is 90K (Kelvin), find the values of R and Rt that will make G = .4 and S = .001.
Answer: R= 187 , Rt = 645
Click here to see answer by Theo(13342) |
Question 252430: Please help.
Write each event in set notation and give the probability of the event. (1, 2, 3, 4, and 5)
a.) both slips are marked with even numbers.
b.) both slips are marked with odd numbers.
c.) both slips are marked with the same number.
d.) one slip is marked with odd number, the other with an even number.
Click here to see answer by drk(1908) |
Question 251271: a+b+c+d+e+f=0
a-2b=0
a+2b+3d+2e=220
1+3c+2d+2f=110
a+2b+4d+e+5f=240
a+2d+3e+4f=165
*write the equations in matrix form AX=B.
*using an appropriate software package find the inverse of A.
*solve the above equations using the Matrix Inverse Method.
*check your answer using Cramer's rule and the Gaussian Elimination Method.
Click here to see answer by Edwin McCravy(20054)  |
Question 252517: Please help. I cannot figure just what formula to use.
(Using Nonlinear Systems) Solving problems using a System of of Equation in two variables.
Unknown numbers. Find two numbers whose sum is 10 and whose squares differ by 20.
Answer( 6 and 4)
Click here to see answer by richwmiller(17219)  |
Question 252519: Can someone please point me in the right direction with this experiment. Probabilities and Binomial Experiments.
U.S. Population by Region. The U.S. population by region (in millions) for selected years is given in the table. Find the probability that a U.S. resident selected at random satisfies the following:
a.) lived in the West in 1997.
b.) lived in the Midwest in 1995.
c.) lived in the Northwest or Midwest in 1997.
d.) lived in the South or West in 1997.
e.) What are the odds that a randomly selected U.S. resident in 2000 was not from the South?
REGION 1995 1997 2000
Northwest 51.4 51.6 53.6
Midwest 61.8 62.5 64.4
South 91.8 94.2 100.2
West 57.7 59.4 63.2
(Answers) a. .222 b. .235 c. .426 d. .574 e. 302 to 167
Click here to see answer by richwmiller(17219) |
Question 252626: Can someone please assist with b and c. I cannot figure out the formula.
1. Delegation Choices. Seven workers decide to send a delegation of 2 to their supervisor to discuss their grievances.
a.) How many different delegations are possible? Answer 7 nCr 2 = 21
b.) If it is decided that a certain employee must be in the delegation, how many different delegations are possible? Answer: 6
c.) If there are 2 women and 5 men in the group, how many delegations would include at least 1 woman?
Answer: 11
Click here to see answer by drk(1908) |
Question 253409: "Plumber Greg came to fix the Brown’s sink. He worked for four hours. The bill for the Browns was $34.59. Then he fixed the Minnick’s septic tank which took him 7 hours. The total bill was $55.23."
What is the independent and dependent variable?
Click here to see answer by tushki(2) |
Question 253409: "Plumber Greg came to fix the Brown’s sink. He worked for four hours. The bill for the Browns was $34.59. Then he fixed the Minnick’s septic tank which took him 7 hours. The total bill was $55.23."
What is the independent and dependent variable?
Click here to see answer by richwmiller(17219) |
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