Make Sense? During the winter, you program your home thermostat so that at midnight, the temperature is 55 ∘ . This temperature is maintained until 6 a.m. Then the house begins to warm up so that by 9 a.m. the temperature is 65 ∘ . At 6 p.m. the house begins to cool. By 9 p.m. the temperature is again 55 ∘ . The graph illustrates home temperature, f (l), as a function of house after midnight, t. In Exercises 137-140, determine whether each statement makes sense or does not make sense, and explain your reasoning. If the statement makes sense, graph the new function on the domain (0.24). If the statement does not make sense, correct the function in the statement and graph the corrected function on the domain (0.24). I decided to keep the house 5 ∘ warmer that before, so I reprogrammed the thermostat to y = f ( t ) + 5 .
Make Sense? During the winter, you program your home thermostat so that at midnight, the temperature is 55 ∘ . This temperature is maintained until 6 a.m. Then the house begins to warm up so that by 9 a.m. the temperature is 65 ∘ . At 6 p.m. the house begins to cool. By 9 p.m. the temperature is again 55 ∘ . The graph illustrates home temperature, f (l), as a function of house after midnight, t. In Exercises 137-140, determine whether each statement makes sense or does not make sense, and explain your reasoning. If the statement makes sense, graph the new function on the domain (0.24). If the statement does not make sense, correct the function in the statement and graph the corrected function on the domain (0.24). I decided to keep the house 5 ∘ warmer that before, so I reprogrammed the thermostat to y = f ( t ) + 5 .
Solution Summary: The author analyzes whether the statement "I decided to keep my home 5 degree warmer than before, so I reprogram the thermostat at y=f(t)+5°" makes
Make Sense?During the winter, you program your home thermostat so that at midnight, the temperature is
55
∘
. This temperature is maintained until 6 a.m. Then the house begins to warm up so that by 9 a.m. the temperature is
65
∘
. At 6 p.m. the house begins to cool. By 9 p.m. the temperature is again
55
∘
. The graph illustrates home temperature, f (l), as a function of house after midnight, t.
In Exercises 137-140, determine whether each statement makes sense or does not make sense, and explain your reasoning. If the statement makes sense, graph the new function on the domain (0.24). If the statement does not make sense, correct the function in the statement and graph the corrected function on the domain (0.24).
I decided to keep the house
5
∘
warmer that before, so I reprogrammed the thermostat to
y
=
f
(
t
)
+
5
.
Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements. a. No, because more money should have been earned through simple interest than compound interest. b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
Compare and contrast the simple and compound interest formulas. Which one of the following statements is correct? a. Simple interest and compound interest formulas both yield principal plus interest, so you must subtract the principal to get the amount of interest. b. Simple interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest; Compound interest formula yields only interest, which you must add to the principal to get the final amount. c. Simple interest formula yields only interest, which you must add to the principal to get the final amount; Compound interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest. d. Simple interest and compound interest formulas both yield only interest, which you must add to the principal to get the final amount.
Sara would like to go on a vacation in 5 years and she expects her total costs to be $3000. If she invests $2500 into a savings account for those 5 years at 8% interest, compounding semi-annually, how much money will she have? Round your answer to the nearest cent. Show you work. Will she be able to go on vacation? Why or why not?
Chapter 2 Solutions
Blitzer Algebra And Trigonometry, 6th Edition, 9780134585291, 0134585291, 2018
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY