Dennis Lamenti wants to buy a new car that costs $ 15 , 829.32 . He has two possible loans in mind. One loan is through the car dealer; it is a four-year add-on interest loan at 7 3 4 % and requires a down payment of $ 1 , 000 . The second is through his bank; it is a four-year simple interest amortized loan at 7 3 4 % and requires a down payment of $ 1 , 000 . a. Find the monthly payment for each loan. b. Find the total interest paid for each loan. c. Which loan should Dennis choose? Why?
Dennis Lamenti wants to buy a new car that costs $ 15 , 829.32 . He has two possible loans in mind. One loan is through the car dealer; it is a four-year add-on interest loan at 7 3 4 % and requires a down payment of $ 1 , 000 . The second is through his bank; it is a four-year simple interest amortized loan at 7 3 4 % and requires a down payment of $ 1 , 000 . a. Find the monthly payment for each loan. b. Find the total interest paid for each loan. c. Which loan should Dennis choose? Why?
Solution Summary: The author explains how to find the monthly payment for each loan for the given condition.
Dennis Lamenti wants to buy a new car that costs
$
15
,
829.32
. He has two possible loans in mind. One loan is through the car dealer; it is a four-year add-on interest loan at
7
3
4
%
and requires a down payment of
$
1
,
000
. The second is through his bank; it is a four-year simple interest amortized loan at
7
3
4
%
and requires a down payment of
$
1
,
000
.
An elastic rope is attached to the ground at the positions shown in the picture. The rope is being pulled up along the dotted line. Assume the units are meters.
9
ground level
Assume that x is increasing at a rate of 3 meters/sec.
(a) Write as a function of x: 0=
(b) When x=10, the angle is changing at a rate of
rad/sec.
(c) Let L be the the left hand piece of rope and R the right hand piece of rope. When x=10, is the rate of change of L larger than the rate of change of R?
○ Yes
○ No
At a local college, for sections of economics are taught during the day and two sections are taught at night. 70 percent of the day sections are taught by full time faculty. 20 percent of the evening sections are taught by full time faculty. If Jane has a part time teacher for her economics course, what is the probability that she is taking a night class?
4.1 Basic Rules of Differentiation.
1. Find the derivative of each function. Write answers with positive exponents. Label your derivatives with
appropriate derivative notation.
a) y=8x-5x3 4
X
b)
y=-50 √x+11x
-5
c) p(x)=-10x²+6x3³
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