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
Answers: 1
Mathematics, 21.06.2019 15:30, DJEMPGYT
Will give are given that xy is parallel to zw. if xz is a transversal that intercepts xy and zw, angle angle alternate interior angles. since xy is parallel to zw, we know that these angles are we also know that angle xvy and angle zvw are , and thus congruent. we can conclude that △xyv ~ △zwv using the similarity theorem.
Answers: 2
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