 6.1.1: If a principal P is borrowed at a simple interest rate r (expressed...
 6.1.2: If a lender deducts the interest from the amount of the loan at the...
 6.1.3: True or False For a simple interest loan with interest rate r (expr...
 6.1.4: True or False For a discounted loan at a rate of interest r (expres...
 6.1.5: In 512, write each decimal as a percent.0.60
 6.1.6: In 512, write each decimal as a percent.0.40
 6.1.7: In 512, write each decimal as a percent.1.1
 6.1.8: In 512, write each decimal as a percent.1.2
 6.1.9: In 512, write each decimal as a percent.0.06
 6.1.10: In 512, write each decimal as a percent.0.07
 6.1.11: In 512, write each decimal as a percent.. 0.0025
 6.1.12: In 512, write each decimal as a percent.0.0015
 6.1.13: In 1320, write each percent as a decimal.25%
 6.1.14: In 1320, write each percent as a decimal.15%
 6.1.15: In 1320, write each percent as a decimal.100%
 6.1.16: In 1320, write each percent as a decimal.300%
 6.1.17: In 1320, write each percent as a decimal.6.5%
 6.1.18: In 1320, write each percent as a decimal.4.3%
 6.1.19: In 1320, write each percent as a decimal.0.05%
 6.1.20: In 1320, write each percent as a decimal.0.012%
 6.1.21: In 2134, calculate the indicated quantity.15% of 1000
 6.1.22: In 2134, calculate the indicated quantity.20% of 500
 6.1.23: In 2134, calculate the indicated quantity.18% of 100
 6.1.24: In 2134, calculate the indicated quantity.10% of 50
 6.1.25: In 2134, calculate the indicated quantity.210% of 50
 6.1.26: In 2134, calculate the indicated quantity.. 135% of 1000
 6.1.27: In 2134, calculate the indicated quantity.What percent of 80 is 4?
 6.1.28: In 2134, calculate the indicated quantity.What percent of 60 is 5?
 6.1.29: In 2134, calculate the indicated quantity.What percent of 5 is 8?
 6.1.30: In 2134, calculate the indicated quantity.What percent of 25 is 45?
 6.1.31: In 2134, calculate the indicated quantity.20 is 8% of what number?
 6.1.32: In 2134, calculate the indicated quantity.25 is 12% of what number?
 6.1.33: In 2134, calculate the indicated quantity.50 is 15% of what number?
 6.1.34: In 2134, calculate the indicated quantity.. 40 is 18% of what number?
 6.1.35: In 3540, find the interest due on each loan.. $1000 is borrowed for...
 6.1.36: In 3540, find the interest due on each loan.$100 is borrowed for 6 ...
 6.1.37: In 3540, find the interest due on each loan.$500 is borrowed for 9 ...
 6.1.38: In 3540, find the interest due on each loan.$800 is borrowed for 8 ...
 6.1.39: In 3540, find the interest due on each loan.$1000 is borrowed for 1...
 6.1.40: In 3540, find the interest due on each loan.$100 is borrowed for 24...
 6.1.41: In 4146, find the simple interest rate for each loan.. $1000 is bor...
 6.1.42: In 4146, find the simple interest rate for each loan.$500 is borrow...
 6.1.43: In 4146, find the simple interest rate for each loan.. $300 is borr...
 6.1.44: In 4146, find the simple interest rate for each loan.. $600 is borr...
 6.1.45: In 4146, find the simple interest rate for each loan.. $900 is borr...
 6.1.46: In 4146, find the simple interest rate for each loan.. $800 is borr...
 6.1.47: In 4750, find the proceeds for each discounted loan.$1200 repaid in...
 6.1.48: In 4750, find the proceeds for each discounted loan.$500 repaid in ...
 6.1.49: In 4750, find the proceeds for each discounted loan.$2000 repaid in...
 6.1.50: In 4750, find the proceeds for each discounted loan.$1500 repaid in...
 6.1.51: In 5154, find the amount you must repay for each discounted loan. W...
 6.1.52: In 5154, find the amount you must repay for each discounted loan. W...
 6.1.53: In 5154, find the amount you must repay for each discounted loan. W...
 6.1.54: In 5154, find the amount you must repay for each discounted loan. W...
 6.1.55: Buying a Stereo Madalyn wants to buy a $500 stereo set in 9 months....
 6.1.56: Interest on a Loan Mike borrows $10,000 for a period of 3 years at ...
 6.1.57: Discounted Sheets A set of Egyptian cotton sheets has a list price ...
 6.1.58: Income Tax A resident of Missouri has base income, after exemptions...
 6.1.59: Home Equity Loan Sarah Jane needs to borrow $5000 to repair her roo...
 6.1.60: Equipment Loan The owner of a restaurant needs to borrow $12,000 fr...
 6.1.61: Payday Loan Jakes car needs repairs but he is short of cash. A payd...
 6.1.62: Home Equity Loan Freds credit union offers a simple interest home e...
 6.1.63: Comparing Loans You need to borrow $1000 right now but can repay th...
 6.1.64: Comparing Loans You need to borrow $5000 right now but can repay th...
 6.1.65: Used Car Loan In April 2010, the interest rate on 36month used car...
 6.1.66: 6670 involve treasury bills,Bidding on Treasury Bills How much shou...
 6.1.67: 6670 involve treasury bills,Bidding on Treasury Bills In May 2010, ...
 6.1.68: 6670 involve treasury bills,TBill Auctions As the result of a trea...
 6.1.69: 6670 involve treasury bills,TBill Auction As the result of a treas...
 6.1.70: 6670 involve treasury bills,TBill Auction As the result of a treas...
 6.1.71: . If a store marks up an item by 10% and later discounts it by 10%,...
 6.1.72: If a stock drops in price by 10% and then improves its price by 10%...
 6.1.73: When a store gives a 40% discount off the selling price and then gi...
 6.1.74: Use the results of 6870 to discuss the trend in shortterm interest...
Solutions for Chapter 6.1: Interest
Full solutions for Finite Mathematics, Binder Ready Version: An Applied Approach  11th Edition
ISBN: 9780470876398
Solutions for Chapter 6.1: Interest
Get Full SolutionsThis textbook survival guide was created for the textbook: Finite Mathematics, Binder Ready Version: An Applied Approach, edition: 11. Chapter 6.1: Interest includes 74 full stepbystep solutions. Finite Mathematics, Binder Ready Version: An Applied Approach was written by and is associated to the ISBN: 9780470876398. Since 74 problems in chapter 6.1: Interest have been answered, more than 16734 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Augmented matrix [A b].
Ax = b is solvable when b is in the column space of A; then [A b] has the same rank as A. Elimination on [A b] keeps equations correct.

Back substitution.
Upper triangular systems are solved in reverse order Xn to Xl.

CayleyHamilton Theorem.
peA) = det(A  AI) has peA) = zero matrix.

Characteristic equation det(A  AI) = O.
The n roots are the eigenvalues 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.

Eigenvalue A and eigenvector x.
Ax = AX with x#O so det(A  AI) = o.

Factorization
A = L U. If elimination takes A to U without row exchanges, then the lower triangular L with multipliers eij (and eii = 1) brings U back to A.

Fibonacci numbers
0,1,1,2,3,5, ... satisfy Fn = Fnl + Fn 2 = (A7 A~)I()q A2). Growth rate Al = (1 + .J5) 12 is the largest eigenvalue of the Fibonacci matrix [ } A].

Fundamental Theorem.
The nullspace N (A) and row space C (AT) are orthogonal complements in Rn(perpendicular from Ax = 0 with dimensions rand n  r). Applied to AT, the column space C(A) is the orthogonal complement of N(AT) in Rm.

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

GramSchmidt orthogonalization A = QR.
Independent columns in A, orthonormal columns in Q. Each column q j of Q is a combination of the first j columns of A (and conversely, so R is upper triangular). Convention: diag(R) > o.

Independent vectors VI, .. " vk.
No combination cl VI + ... + qVk = zero vector unless all ci = O. If the v's are the columns of A, the only solution to Ax = 0 is x = o.

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.

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.

Multiplicities AM and G M.
The algebraic multiplicity A M of A is the number of times A appears as a root of det(A  AI) = O. The geometric multiplicity GM is the number of independent eigenvectors for A (= dimension of the eigenspace).

Outer product uv T
= column times row = rank one matrix.

Positive definite matrix A.
Symmetric matrix with positive eigenvalues and positive pivots. Definition: x T Ax > 0 unless x = O. Then A = LDLT with diag(D» O.

Projection p = a(aTblaTa) onto the line through a.
P = aaT laTa has rank l.

Special solutions to As = O.
One free variable is Si = 1, other free variables = o.

Wavelets Wjk(t).
Stretch and shift the time axis to create Wjk(t) = woo(2j t  k).