In Exercises 33-11, use the four-step strategy to solve each problem. Use x, y, and z to represent unknown quantities. Then translate from the verbal conditions of the problem to a system of three equations in three variables.
A person invested $6700 for one year, part al 8%. part al10%. and the remainder al 12%. The total annual income from these investments was $716. The amount of money invested at 12% was $300 more than the amount invested at 8% and 10% combined. Find the amount invested al each rate.

Want to see the full answer?
Check out a sample textbook solution
Chapter 7 Solutions
PRECALCULUS CUSTOM W/MYMTHLAB >IC<
Additional Math Textbook Solutions
Elementary & Intermediate Algebra
Precalculus
Thinking Mathematically (6th Edition)
Precalculus: A Unit Circle Approach (3rd Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Basic College Mathematics
- Determine whether the lines L₁ : F(t) = (−2, 3, −1)t + (0,2,-3) and L2 : ƒ(s) = (2, −3, 1)s + (−10, 17, -8) intersect. If they do, find the point of intersection. ● They intersect at the point They are skew lines They are parallel or equalarrow_forwardAnswer questions 2arrow_forwardHow does a fourier transform works?arrow_forward
- Determine the radius of convergence of a power series:12.6.5, 12.6.6, 12.6.7, 12.6.8Hint: Use Theorem12.5.1 and root test, ratio test, integral testarrow_forwardCan you answer this question and give step by step and why and how to get it. Can you write it (numerical method)arrow_forwardCan you answer this question and give step by step and why and how to get it. Can you write it (numerical method)arrow_forward
- There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…arrow_forwardUse a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.) y = 100e0.01x (x, y) = y = 11,250 ×arrow_forward5. For the function y-x³-3x²-1, use derivatives to: (a) determine the intervals of increase and decrease. (b) determine the local (relative) maxima and minima. (e) determine the intervals of concavity. (d) determine the points of inflection. (e) sketch the graph with the above information indicated on the graph.arrow_forward
- Can you solve this 2 question numerical methodarrow_forward1. Estimate the area under the graph of f(x)-25-x from x=0 to x=5 using 5 approximating rectangles Using: (A) right endpoints. (B) left endpoints.arrow_forward9. Use fundamental theorem of calculus to find the derivative d a) *dt sin(x) b)(x)√1-2 dtarrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning





