Critical Thinking You have just contracted to buy a house and will seek financing in the amount of $ 100 , 000 . You go to several banks. Bank 1 will lend you $ 100 , 000 at the rate of 4.125 % amortized over 30 years with a loan origination fee of 0.45 % . Bank 2 will lend you $ 100 , 000 at the rate of 3.375 % amortized over 15 years with a loan origination fee of 0.95 % . Bank 3 will lend you $ 100 , 000 at the rate of 4.25 % amortized over 30 years with no loan origination fee. Bank 4 will lend you $ 100 , 000 at the rate of 3.625 % amortized over 15 years with no loan origination fee. Which loan would you take? Why? Be sure to have sound reasons for your choice. Use the information in the table to assist you. If the amount of the monthly payment does not matter to you, which loan would you take? Again, have sound reasons for your choice. Compare your final decision with others in the class. Discuss.
Critical Thinking You have just contracted to buy a house and will seek financing in the amount of $ 100 , 000 . You go to several banks. Bank 1 will lend you $ 100 , 000 at the rate of 4.125 % amortized over 30 years with a loan origination fee of 0.45 % . Bank 2 will lend you $ 100 , 000 at the rate of 3.375 % amortized over 15 years with a loan origination fee of 0.95 % . Bank 3 will lend you $ 100 , 000 at the rate of 4.25 % amortized over 30 years with no loan origination fee. Bank 4 will lend you $ 100 , 000 at the rate of 3.625 % amortized over 15 years with no loan origination fee. Which loan would you take? Why? Be sure to have sound reasons for your choice. Use the information in the table to assist you. If the amount of the monthly payment does not matter to you, which loan would you take? Again, have sound reasons for your choice. Compare your final decision with others in the class. Discuss.
Solution Summary: The author explains that they have just contracted to buy a house and will seek financing in the amount of 100,000. Bank 1 will lend you 100, 000 at the rate of 4.12 5% amortized over 30 years with
Critical Thinking
You have just contracted to buy a house and will seek financing in the amount of
. You go to several banks. Bank 1 will lend you
at the rate of
amortized over 30 years with a loan origination fee of
. Bank 2 will lend you
at the rate of
amortized over 15 years with a loan origination fee of
. Bank 3 will lend you
at the rate of
amortized over 30 years with no loan origination fee. Bank 4 will lend you
at the rate of
amortized over 15 years with no loan origination fee. Which loan would you take? Why? Be sure to have sound reasons for your choice. Use the information in the table to assist you. If the amount of the monthly payment does not matter to you, which loan would you take? Again, have sound reasons for your choice. Compare your final decision with others in the class. Discuss.
Given lim x-4 f (x) = 1,limx-49 (x) = 10, and lim→-4 h (x) = -7 use the limit properties
to find lim→-4
1
[2h (x) — h(x) + 7 f(x)] :
-
h(x)+7f(x)
3
O DNE
17. Suppose we know that the graph below is the graph of a solution to dy/dt = f(t).
(a) How much of the slope field can
you sketch from this information?
[Hint: Note that the differential
equation depends only on t.]
(b) What can you say about the solu-
tion with y(0) = 2? (For example,
can you sketch the graph of this so-
lution?)
y(0) = 1
y
AN
(b) Find the (instantaneous) rate of change of y at x = 5.
In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of
change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the
following limit.
lim
h→0
-
f(x + h) − f(x)
h
The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule
defining f.
f(x + h) = (x + h)² - 5(x+ h)
=
2xh+h2_
x² + 2xh + h² 5✔
-
5
)x - 5h
Step 4
-
The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x).
-
f(x + h) f(x) =
= (x²
x² + 2xh + h² -
])-
=
2x
+ h² - 5h
])x-5h) - (x² - 5x)
=
]) (2x + h - 5)
Macbook Pro
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY