![subject](/tpl/images/cats/mat.png)
Mathematics, 13.07.2019 21:20 itscheesycheedar
Suppose the amount of principal left to be paid back on a car loan is given by p(t) and suppose a payment of k dollars is made on the loan each month. then the rate at which the remaining principal p(t) changes with respect to time (in exist/month) is the net result of the monthly payment of k dollars (which is a positive constant) and the interest which is proportional to the remaining principal (here the proportionality constant is the monthly continuous interest rate r). a. write a differential equation to represent this situation using the function and constants named above. b. a student purchases a car for exist12,000 with a 3-year loan at 9% annual interest, compounded continuously. calculate the monthly interest rate r and then use this value to rewrite the de from part a. then solve this differential equation for p(t). be sure to determine the value of c and state your model for p(t) clearly. c. use your model for p(t) to find the monthly payment k so that the loan in paid off (p(t) = 0) in 3 years (36 months). give your answer rounded to the nearest cent. d. derive the general payment formula, solving for k in terms of r, n (the number of months), and p_0 (the initial principal), showing all work to support it.
![ansver](/tpl/images/cats/User.png)
Answers: 3
![](/tpl/images/ask_question.png)
![](/tpl/images/ask_question_mob.png)
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 14:40
The coordinate grid shows points a through k. which points are solutions to the system of inequalities listed below? 2x+ ys 10 2x 4y < 8 oa c, d, k o e, f. g, j oa, c, d, h, k oe, f. g, h, j
Answers: 3
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 15:00
Can someone answer it, and plot it, for 20 points and brainliest answer? p.s. they're the same ! : )
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 16:00
The equation x2 ā 1x ā 90 = 0 has solutions {a, b}. what is a + b?
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 20:30
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1+i)+(21+5i)+0
Answers: 2
You know the right answer?
Suppose the amount of principal left to be paid back on a car loan is given by p(t) and suppose a pa...
Questions
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/biologiya.png)
Biology, 05.07.2019 01:30
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/en.png)
English, 05.07.2019 01:30
![question](/tpl/images/cats/mat.png)
Mathematics, 05.07.2019 01:30
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 05.07.2019 01:30
![question](/tpl/images/cats/biologiya.png)
Biology, 05.07.2019 01:30
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/istoriya.png)
History, 05.07.2019 01:30
![question](/tpl/images/cats/health.png)
Health, 05.07.2019 01:30
![question](/tpl/images/cats/istoriya.png)
History, 05.07.2019 01:30
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/ap.png)
Advanced Placement (AP), 05.07.2019 01:30