Concept explainers
When an initial amount of P dollars is invested at
annual interest compounded m times per year, the value of the account
after t years is given by the equation
Use the equation in Question 8 to complete the table, then use the table to draw a graph of the equation. Don’t forget to label an appropriate scale on each axis.
Year (t) | Value (A) |
---|---|
0 | |
5 | |
10 | |
15 | |
20 |
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Pathways to Math Literacy (Loose Leaf)
- The force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot long board. a. Write the equation of variation. b. How many pounds of pressure is needed to break a 5-foot long board?arrow_forwardThe annual percentage yield (APY) of an investmentaccount is a representation ofthe actual interest rateearned on a compounding account. It is based on acompounding period of one year. Show that the APYof an account that compounds monthly can be foundwith the formula APY=(1+r12)121.arrow_forwardWhat is the equation of the line shown on the gra ph below? A. -4x - B. 4x 4 C. D.arrow_forward
- a. Suppose you own a stamp collection valued at $1500. The collection is increasing in value at a rate of 3.5% a year. Write an equation to represent the value of your stamp collection over time. Let y = the value of your collection, let x = the years. y = What will your collection be worth 10 years from now? round to hundredths place $arrow_forwardA new car worth $22,000 is depreciating in value by $2000 per year. Complete parts (a) through (c) a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car's value will be $16,000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system Then, show your solution to part (b) on the graph. a. A formula that models the car's value, y, in dollars, after x years is (Type an equation.) b. After years, the car's value will be $16,000. (Type a whole number.) c. Choose the correct graph below. OA. OB. Oc. OD. Ay 22,000 Ay 10+ 10- 22,000- 0+ 10 2200 2200 Click to select your answer(s). P Type here to search A 4) C PrtSc Insert Delete F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F1 F2 @ & Backspacearrow_forwardA.5arrow_forward
- m < PHE=.arrow_forwardFind an equation to model the vertical motion of the tip of a second hand on a clock, if the second hand is 15cm long. Use t=0 to represent the moment the second hand begins it's cycle at the top of the clock, and let y(t) represent the vertical distance above the center of the clock when t is in seconds. Graph the function, explaining how the values of A,B,C,D each give information about the graph of the function.arrow_forwardFind the reference number for each value of t. 137T (a) t= 107T (b) t = - 7 (c) t = 6 Is (d) t= -7arrow_forward
- Hwarrow_forwardLondon owes $7, 000 on her credit card. The bank charges an annual interest rate of 16.8%, compounded monthly. If London wants to pay off her credit card using equal monthly payments over the next 18 months, what would the monthly payment be, to the nearest dollar? Pr M 1- (1+r)-" M = the monthly payment P = the amount owed r = the interest rate per month n = the number of paymentsarrow_forwardThe value V of a bank account in which $450 is invested at 9.00% interest, compounded annually is given by the equation below where t is the time in years. Find the value of the account after 5 years. V= 450(1.0900) The value of the account after 5 years is about $ (Round to the nearest cent as needed.)arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning