Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.
15th Edition
ISBN: 9781323047620
Author: Barnett, Ziegler, Byleen
Publisher: Pearson Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter A.5, Problem 6E
To determine
To express: The expression
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Question 10
6
5
4
3
2
-π/4
π/4
π/2
-1
-2
-3-
-4
-5-
-6+
For the graph above, find the function of the form f(x)=a tan(bx)+c where a=-1 or +1 only
f(x) =
Question Help: Video
MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function $m$ represent the balance of your savings account after $t$ years. The table shows the total balance of the accounts over time. Year, $t$ Total balance 0 1 2 3 4 5 $2500 $2540 $2580.80 $2622.42 $2664.86 $2708.16 a. Write a function $B$ that represents the total balance after $t$ years. Round values to the nearest hundredth, if necessary. $B\left(t\right)=$ Question 2 b. Find $B\left(8\right)$ . About $ a Question 3 Interpret $B\left(8\right)$ . b represents the total balance checking and saving accounts after 8 years the balance would be 16 / 10000 Word Limit16 words written of 10000 allowed Question 4 c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. A = 11998.70 SINCE 9000 is the principal ( 1+0.036/12)12 times 8 gives me aproxtimately 1997 14 / 10000 Word Limit14 words written of 10000 allowed Skip to…
Listen
MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function m represent the balance of your savings account after t years. The table shows the total balance of the accounts over time.
Year, t Total
balance
0
$2500
1
$2540
2
$2580.80
3
$2622.42
4
$2664.86
5
$2708.16
a. Write a function B that represents the total balance after t years. Round values to the nearest hundredth, if necessary.
B(t) =
500 + 2000(1.02)*
b. Find B(8).
About $2843.32
Interpret B(8).
B I U
E T²
T₂
c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly.
B
I U E
E
T²
T₂
A = 11998.70 SINCE 9000 is the principal (1+0.036/12)12 times 8 gives me aproxtimately 1997
Chapter A.5 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.
Ch. A.5 - Simplify, and express the answers using positive...Ch. A.5 - Prob. 2MPCh. A.5 - (A)Write each number in scientific notation:...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 2ECh. A.5 - Prob. 3ECh. A.5 - Prob. 4ECh. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 6ECh. A.5 - Prob. 7E
Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 13ECh. A.5 - Prob. 14ECh. A.5 - Prob. 15ECh. A.5 - Prob. 16ECh. A.5 - Prob. 17ECh. A.5 - In Problems 1520, write each number in scientific...Ch. A.5 - Prob. 19ECh. A.5 - In Problems 1520, write each number in scientific...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - Prob. 27ECh. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - Prob. 29ECh. A.5 - Prob. 30ECh. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - Prob. 35ECh. A.5 - Prob. 36ECh. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 3942, write each expression in the...Ch. A.5 - In Problems 3942, write each expression in the...Ch. A.5 - In Problems 3942, write each expression in the...Ch. A.5 - In Problems 3942, write each expression in the...Ch. A.5 - Write each expression in Problems 4346 with...Ch. A.5 - Write each expression in Problems 4346 with...Ch. A.5 - Write each expression in Problems 4346 with...Ch. A.5 - Prob. 46ECh. A.5 - Prob. 47ECh. A.5 - Prob. 48ECh. A.5 - Prob. 49ECh. A.5 - Prob. 50ECh. A.5 - What is the result of entering 232 on a...Ch. A.5 - Prob. 52ECh. A.5 - If n = 0, then property 1 in Theorem 1 implies...Ch. A.5 - If m = n, then property 1 in Theorem 1 implies...Ch. A.5 - Write the fractions in Problems 5558 as simple...Ch. A.5 - Prob. 56ECh. A.5 - Write the fractions in Problems 5558 as simple...Ch. A.5 - Write the fractions in Problems 5558 as simple...Ch. A.5 - Problems 59 and 60 refer to Table 1. Table 1 U.S....Ch. A.5 - Prob. 60ECh. A.5 - Prob. 61ECh. A.5 - Air pollution. Air quality standards establish...Ch. A.5 - Prob. 63ECh. A.5 - Population density. The United States had a 2016...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 14. Show that if a, b, and c are integers such that (a, b) = 1 and c | (a+b), then (c, a) = (c, b) = 1.arrow_forwardA retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP). What were the average sales for the standard POP display (control group)? What were the sales for the digital display (experimental group)? What is the (mean) difference in sales between the experimental group and control group? List the null hypothesis being tested. Do you reject or retain the null hypothesis based on the results of the independent t-test? Was the difference between the…arrow_forwardUsing fixed point iteration and Newton Raphson methods to solve the following function: f(x) = e−0.5x(4-x)-2. Take xo-2 and n=5.arrow_forward
- Use the information to find and compare Δy and dy. (Round your answers to four decimal places.) y = x4 + 7 x = −3 Δx = dx = 0.01 Δy = dy =arrow_forwardWhat were the average sales for the four weeks prior to the experiment? What were the sales during the four weeks when the stores used the digital display? What is the mean difference in sales between the experimental and regular POP time periods? State the null hypothesis being tested by the paired sample t-test. Do you reject or retain the null hypothesis? At a 95% significance level, was the difference significant? Explain why or why not using the results from the paired sample t-test. Should the manager of the retail chain install new digital displays in each store? Justify your answer.arrow_forwardSolve the following Probability Problem (solve all parts) HW 2.x. (Headless Hunt)The Headless Hunt is an organization of 88 Hogwarts ghosts so elite thateven Nearly Headless Nick was annually denied admission for decades,despite being The Gryffindor ghost. The ghosts love playing sports anddecided to get together and have either a Head Polo tournament or aHorseback Head-Juggling tournament. However, even if they are ghosts,they still have jobs so some of them might have an urgent haunting as-signment. In order for no one to be left behind they need to be able tosplit into teams of equal numbers. Head polo teams consist of 4 playerswhereas Horseback Head-Juggling teams have 11 players. Assume thatany number of them from 1 to 88 show up with equal probability. a) What is the probability they will be able to play one of the twotournaments?b) If in addition to the previous 2 sports there was one more option, atournament in Headless bowling which is played in teams of 8 players,what would…arrow_forward
- Can you evalutate the following summation:∑_{y=1}^{x} 2 / ((x + y - 1)(x + y + 1))arrow_forwardA retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP). What were the average sales for the standard POP display (control group)? What were the sales for the digital display (experimental group)? What is the (mean) difference in sales between the experimental group and control group? List the null hypothesis being tested. Do you reject or retain the null hypothesis based on the results of the independent t-test? Was the difference between the…arrow_forwardCan you evaluate the following summation:∑_{k=1}^{n} (4log(n+k) + 4k)arrow_forward
- Question 4 An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a silver powder production process. This product is used in conductive pastes to manufacture a wide variety of products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area (cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was replicated twice. The design is shown in Table 3. A222222222222233 Stir Rate (RPM) Ammonium (%) Table 3: Silver Powder Experiment from Exercise 13.23 Temperature (°C) Density Surface Area 100 8 14.68 0.40 100 8 15.18 0.43 30 100 8 15.12 0.42 30 100 17.48 0.41 150 7.54 0.69 150 8 6.66 0.67 30 150 8 12.46 0.52 30 150 8 12.62 0.36 100 40 10.95 0.58 100 40 17.68 0.43 30 100 40 12.65 0.57 30 100 40 15.96 0.54 150 40 8.03 0.68 150 40 8.84 0.75 30 150…arrow_forwardGiven sets X and Y and Z, can you prove that (X-(Y u Z)) u (Y-(X u Z)) is a subset of (X u Y) - (X intersection Y)arrow_forward4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown in the table. For each problem, approximate the distance the car traveled (in miles) using the given method, on the provided interval, and with the given number of rectangles or trapezoids, n. Time (min) 0 6 12 18|24|30|36|42|48|54|60 Speed (mph) 0 10 20 40 60 50 40 30 40 40 65 a.) Left Rectangles, [0, 30] n=5 b.) Right Rectangles, [24, 42] n=3 c.) Midpoint Rectangles, [24, 60] n=3 d.) Trapezoids, [0, 24] n=4arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra: 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 Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning