![subject](/tpl/images/cats/mat.png)
Mathematics, 21.03.2020 07:24 bekzod37
A person borrows $10,000 and repays the loan at the rate of $2, 400 per year. The lender charges interest of 10% per year. Assuming the payments are made continuously and interest is compounded continuously (a pretty good approximation to reality for long-term loans), the amount M(t) of money (in dollars) owed t years after the loan is mace satisfies the differential equation
dM/dt = 1/10 M - 2400 and the initial condition M(0) = 10000.
(a) Solve this initial-value problem for M(t).
M(t) = -1400e^(r/10) + 2400
(b) How long does it take to pay off the loan? That is, at what time t is M(t) = 0? Give your answer (in years) in decimal form with at least 3 decimal digits.
3.80211 x years
![ansver](/tpl/images/cats/User.png)
Answers: 1
![](/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 20:00
You have 138.72 in your saving account u take out 45.23 and 18.00 you deposit 75.85 into your account
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 00:30
You are riding your bike and notice the square sign above. you mentally draw a straight line from point a to c. describe the angle relationship between dca and bca
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 01:00
Which number produces an irrational number multiplied by 1/3
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 01:20
Geometry - finding area of regular polygons and sectors (check my math, i can’t find the error)
Answers: 3
You know the right answer?
A person borrows $10,000 and repays the loan at the rate of $2, 400 per year. The lender charges int...
Questions
![question](/tpl/images/cats/mat.png)
Mathematics, 04.05.2021 17:10
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 04.05.2021 17:10
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 04.05.2021 17:10
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/himiya.png)
Chemistry, 04.05.2021 17:10
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 04.05.2021 17:10
![question](/tpl/images/cats/mkx.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 04.05.2021 17:10
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/biologiya.png)
Biology, 04.05.2021 17:10