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Question 1196243: If M%22%22=%22%22%28matrix%283%2C3%2C1%2C-1%2Ck%2C4%2C7%2C3%2C-1%2C12%2C-2%29%29
Evaluate in term of k the determinant of M.
Hence, if X%22%22=%22%22%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29,
Solve the equation MX%22%22=%22%22%28matrix%283%2C1%2C1%2C11%2C21%29%29
when k = 2, by the cofactor method.

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1196243: If M%22%22=%22%22%28matrix%283%2C3%2C1%2C-1%2Ck%2C4%2C7%2C3%2C-1%2C12%2C-2%29%29
Evaluate in term of k the determinant of M.
Hence, if X%22%22=%22%22%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29,
Solve the equation MX%22%22=%22%22%28matrix%283%2C1%2C1%2C11%2C21%29%29
when k = 2, by the cofactor method.

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Question 1197706: I have invested $1200 in a bank acount with an interest rate 4.5% compounded monthly. After how many years will my account pass $2100
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Question 1197706: I have invested $1200 in a bank acount with an interest rate 4.5% compounded monthly. After how many years will my account pass $2100
Click here to see answer by MathTherapy(10552) About Me 

Question 1197725: Find the smallest positive integer n such that the base ten representation of 2 at the power of n has exactly 500 digits.
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Question 1197798: Ryan has $35 gift card to Barnes and Noble Online store. He plans to buy as many books as he can. The cost of each book is $4 and there is a single shipping charge of $2. How many books can he afford without spending more than his gift card amount?
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Question 1197807: A metallurgist has one alloy containing 43% aluminum and another containing 63% aluminum. How many pounds of each alloy must he use to make 43 pounds of a third alloy containing 49% aluminum?
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Question 1197874: A company making backpacks charges $29.99 for each backpack. It costs $6.45 to make each backpack. The company can make backpacks in multiples of 10 and there is $1,000 in fixed costs. The company wants to make at least $4,000 profit each week.
Which number line represents the number of backpacks can be made each week?


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Question 1197911: A vehicle purchased for $ 22400 depreciates at a constant rate of 9% . Determine the approximate value of the vehicle 14 years after purchase.
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Question 1197961: How long would it take to double $2000 in the bank deposit with 4% interest compounded monthly
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Question 1197961: How long would it take to double $2000 in the bank deposit with 4% interest compounded monthly
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Question 1197961: How long would it take to double $2000 in the bank deposit with 4% interest compounded monthly
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Question 1197975: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 20200.
(a) Find a function that models the population
t years after 2000 ( t=0 for 2000).Your answer is P(t)=

(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer must be an integer)

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Question 1198001: : A man bought 15 books for
#9800. Some of these books cost #600 each
and the rest cost #700 each. How many of
each type did he buy.

Click here to see answer by Alan3354(69443) About Me 
Question 1198001: : A man bought 15 books for
#9800. Some of these books cost #600 each
and the rest cost #700 each. How many of
each type did he buy.

Click here to see answer by ikleyn(52781) About Me 
Question 1198001: : A man bought 15 books for
#9800. Some of these books cost #600 each
and the rest cost #700 each. How many of
each type did he buy.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1198026: The Earth’s orbit is an ellipse with the sun as one of the foci. If the semi-major axis of the Earth’s orbit is 92. 9 miles, find
a. the distance of the sun from the center
b. the shortest and longest distances of the earth from the sun

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Question 1198050: If money is worth 8 % compounded continuously, find its effective rate.
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Question 1198058: Simplify (32/128)^¾ ÷ (1/64)^-0.5
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Question 1198058: Simplify (32/128)^¾ ÷ (1/64)^-0.5
Click here to see answer by MathTherapy(10552) About Me 
Question 1198058: Simplify (32/128)^¾ ÷ (1/64)^-0.5
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Question 1198054: Solve the indicial linear equation 2[3^(2x-1)]=162
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Question 1198057: Simplify [(a²b^-³c)^¾]/(a^-²b³c^5)=(a^p X b^q X c^r) and find the value of p+2q-r
Click here to see answer by Edwin McCravy(20055) About Me 

Question 1198056: Solve the indicial linear equation 9^(-1/2)=27^(1/4)÷3^(x+1)
Click here to see answer by ewatrrr(24785) About Me 
Question 1198056: Solve the indicial linear equation 9^(-1/2)=27^(1/4)÷3^(x+1)
Click here to see answer by ikleyn(52781) About Me 

Question 1198070: 3. The square root function, reflected across the y-axis
5. The absolute value function, vertically stretched by apply-
ing a factor of 3 and reflected across the x-axis
7. The cubing function, vertically shrunk by applying a fac-
tor of 0.25 and reflected across the y-axis

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Question 1198055: Solve the indicial linear equation 5√8^2x=128^x X 64
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Question 1198055: Solve the indicial linear equation 5√8^2x=128^x X 64
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1198055: Solve the indicial linear equation 5√8^2x=128^x X 64
Click here to see answer by MathTherapy(10552) About Me 

Question 1198069: The squaring function, vertically stretched by applying a
factor of: 2

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Question 1198196: A sphere has a volume of 972pi cubic inches. Find the surface area of the sphere.
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Question 1198196: A sphere has a volume of 972pi cubic inches. Find the surface area of the sphere.
Click here to see answer by Alan3354(69443) About Me 

Question 1198230: Bola,who plans to retire in 15 years contribute#1000 to an individual retirement plan semi annually. What will be the amount of annuity if the rate is 10% compounded annually

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Question 1198210: 1-Two girls want to meet at a specifed place between 4 and 5 p.m.. Let T denote the random variable describing the waiting time of the girl who arrived first. Find FT .

2-Let X be chosen uniformly at random from the interval [0,3]. What is the probability that X2−5X+6 > 0?

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Question 1198446: LAND A which has a perimeter of 100
meters and the Land Area is 600 meters
squared (600m²). The second buyer
wants to buy LAND B which has a
perimeter of 120 meters and the Land
Area is 800m² and the third buyer wants
to buy LAND C which has a perimeter of
200 meters and the Land Area is
2275m².

Click here to see answer by Alan3354(69443) About Me 

Question 1198484: 22x + 11
------
x2 - 3x-10

Click here to see answer by MathLover1(20849) About Me 

Question 1198534: Concerning negative exponents, why is the reciprocal of a fraction a positive one in the numerator? Instead of a negative one.
e.g.
6^-3 = 1 / 6^3 vs. 6^-3 = -1 / 6^3

Click here to see answer by MathLover1(20849) About Me 
Question 1198534: Concerning negative exponents, why is the reciprocal of a fraction a positive one in the numerator? Instead of a negative one.
e.g.
6^-3 = 1 / 6^3 vs. 6^-3 = -1 / 6^3

Click here to see answer by MathTherapy(10552) About Me 
Question 1198534: Concerning negative exponents, why is the reciprocal of a fraction a positive one in the numerator? Instead of a negative one.
e.g.
6^-3 = 1 / 6^3 vs. 6^-3 = -1 / 6^3

Click here to see answer by math_tutor2020(3817) About Me 

Question 1198561: A 65-kg painter paints a side of a house while standing on a 5.5-m long board which rests on a scaffold as shown in the figure at the right. If the board has a mass of 20 kg, how close to the end can the painter stand without tipping the board over?
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Question 1198558: A uniform wooden beam 10 m long and weigh- ing 200 N is used to support a load of 300 N on the left end, and 500 N on the right end. Deter- mine the center of gravity if another load of 80 N is added 2 m from the left end.
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Question 1198542: Mutual Funds Suppose that in a certain year, the Phoenix/Zweig Advisors Zweig Total Return fund (ZTR) was expected to yield 3%, and the Madison Asset Management Madison Strategic Sector Premium fund (MSP) was expected to yield 8%. You would like to invest a total of up to $60,000 and earn at least $3500 in interest. Draw the feasible region that shows how much money you can invest in each fund (based on the given yields).
Click here to see answer by Theo(13342) About Me 

Question 1198610: Is -36x - 36 = -60x - 12?
Click here to see answer by MathLover1(20849) About Me 

Question 1198719: Ten years ago, Anne was half as old as Sylvia was then. Five years from now, Anne will be as old as Sylvia was five years ago. How old is Sylvia now?
Click here to see answer by greenestamps(13200) About Me 

Question 1198722: While building the addition to Ponderosa High School, the electricians found that it took 5 men to wire 4 rooms in 6 hours. The foreman added 9 more men to the job. How many hours would it take them to do 28 rooms?
Click here to see answer by greenestamps(13200) About Me 

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