 9.6.1: Police use blood alcohol content (BAC) to measure the percent conce...
 9.6.2: Is the formula for power output an example of exponential growth or...
 9.6.3: Find the power available after 100 days.
 9.6.4: Ten watts of power are required to operate the equipment in the sat...
 9.6.5: The weight of a bar of soap decreases by 2.5% each time it is used....
 9.6.6: Write an exponential growth equation of the form y = a e kt for Fay...
 9.6.7: Use your equation to predict the population of Fayette County in 2015.
 9.6.8: Zeus Industries bought a computer for $2500. If it depreciates at a...
 9.6.9: A certain medication is eliminated from the bloodstream at a steady...
 9.6.10: A paleontologist finds a bone of a human. In the laboratory, she fi...
 9.6.11: An anthropologist studying the bones of a prehistoric person finds ...
 9.6.12: The Martins bought a condominium for $145,000. Assuming that the va...
 9.6.13: Assuming this rate of growth continues, what will the GDP of the Un...
 9.6.14: In what year will the GDP reach $20 trillion?
 9.6.15: Find the constant k for this type of bacteria under ideal conditions
 9.6.16: Write the equation for modeling the exponential growth of this bact...
 9.6.17: In 1928, when the high jump was first introduced as a womens sport ...
 9.6.18: The Mendes family bought a new house 10 years ago for $120,000. The...
 9.6.19: Write an equation in the form t = a n b , where t is the time in mi...
 9.6.20: According to the formula, how long should you cook six 8ounce pota...
 9.6.21: Explain how to solve y = (1 + r ) t for t
 9.6.22: Give an example of a quantity that grows or decays at a fixed rate....
 9.6.23: The halflife of radium is 1620 years. When will a 20gram sample o...
 9.6.24: Use the information about car values on page 544 to explain how you...
 9.6.25: The curve represents a portion of the graph of which function? Y / ...
 9.6.26: The curve represents a portion of the graph of which function? Y / ...
 9.6.27: Write an equivalent exponential or logarithmic equation.
 9.6.28: Write an equivalent exponential or logarithmic equation.
 9.6.29: Write an equivalent exponential or logarithmic equation.
 9.6.30: Solve each equation or inequality. Round to four decimal places.
 9.6.31: Solve each equation or inequality. Round to four decimal places.
 9.6.32: Solve each equation or inequality. Round to four decimal places.
 9.6.33: Write an expression to represent the share of the profits each nons...
 9.6.34: Simplify this expression.
 9.6.35: Write an expression in simplest form to represent the share of the ...
 9.6.36: Write the number of pounds of pecans forecasted by U.S. growers in ...
 9.6.37: Write the number of pounds of pecans produced by Georgia in 2003 in...
 9.6.38: What percent of the overall pecan production for 2003 can be attrib...
Solutions for Chapter 9.6: Exponential Growth and Decay
Full solutions for California Algebra 2: Concepts, Skills, and Problem Solving  1st Edition
ISBN: 9780078778568
Solutions for Chapter 9.6: Exponential Growth and Decay
Get Full SolutionsSince 38 problems in chapter 9.6: Exponential Growth and Decay have been answered, more than 42880 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.6: Exponential Growth and Decay includes 38 full stepbystep solutions. California Algebra 2: Concepts, Skills, and Problem Solving was written by and is associated to the ISBN: 9780078778568. This textbook survival guide was created for the textbook: California Algebra 2: Concepts, Skills, and Problem Solving, edition: 1.

Big formula for n by n determinants.
Det(A) is a sum of n! terms. For each term: Multiply one entry from each row and column of A: rows in order 1, ... , nand column order given by a permutation P. Each of the n! P 's has a + or  sign.

Column picture of Ax = b.
The vector b becomes a combination of the columns of A. The system is solvable only when b is in the column space C (A).

Column space C (A) =
space of all combinations of the columns of A.

Covariance matrix:E.
When random variables Xi have mean = average value = 0, their covariances "'£ ij are the averages of XiX j. With means Xi, the matrix :E = mean of (x  x) (x  x) T is positive (semi)definite; :E is diagonal if the Xi are independent.

Determinant IAI = det(A).
Defined by det I = 1, sign reversal for row exchange, and linearity in each row. Then IAI = 0 when A is singular. Also IABI = IAIIBI and

Elimination matrix = Elementary matrix Eij.
The identity matrix with an extra eij in the i, j entry (i # j). Then Eij A subtracts eij times row j of A from row i.

Four Fundamental Subspaces C (A), N (A), C (AT), N (AT).
Use AT for complex A.

GaussJordan method.
Invert A by row operations on [A I] to reach [I AI].

Identity matrix I (or In).
Diagonal entries = 1, offdiagonal entries = 0.

Jordan form 1 = M 1 AM.
If A has s independent eigenvectors, its "generalized" eigenvector matrix M gives 1 = diag(lt, ... , 1s). The block his Akh +Nk where Nk has 1 's on diagonall. Each block has one eigenvalue Ak and one eigenvector.

Kronecker product (tensor product) A ® B.
Blocks aij B, eigenvalues Ap(A)Aq(B).

Krylov subspace Kj(A, b).
The subspace spanned by b, Ab, ... , AjIb. Numerical methods approximate A I b by x j with residual b  Ax j in this subspace. A good basis for K j requires only multiplication by A at each step.

lAII = l/lAI and IATI = IAI.
The big formula for det(A) has a sum of n! terms, the cofactor formula uses determinants of size n  1, volume of box = I det( A) I.

Rayleigh quotient q (x) = X T Ax I x T x for symmetric A: Amin < q (x) < Amax.
Those extremes are reached at the eigenvectors x for Amin(A) and Amax(A).

Row space C (AT) = all combinations of rows of A.
Column vectors by convention.

Standard basis for Rn.
Columns of n by n identity matrix (written i ,j ,k in R3).

Symmetric factorizations A = LDLT and A = QAQT.
Signs in A = signs in D.

Symmetric matrix A.
The transpose is AT = A, and aU = a ji. AI is also symmetric.

Transpose matrix AT.
Entries AL = Ajj. AT is n by In, AT A is square, symmetric, positive semidefinite. The transposes of AB and AI are BT AT and (AT)I.

Vector addition.
v + w = (VI + WI, ... , Vn + Wn ) = diagonal of parallelogram.