Solve using mathematical model of increment and decrement: dx/dt=kx When interest is compounded continuously, the amount of money increases by a proportional rate to the quantity S present in time t, that is, ds/dt=rs, where r is the annual rate ofinterest.(a) Find the amount of money accumulated at the end of eight years when deposited $ 10,000 in a savings account that produces a compound annual interest rate continuous of 6 3/4 % (b) In how many years will the initial amount deposited have doubled?(c) Use a calculator to compare the amount obtained in part (a) with thequantity S= 1000(1+ 1/4(0.0675)8(4) that accumulates when interest is compounded(capitalizes) quarterly everey 3 months. Solve the differential equation (Using Separable Variables, Exact, Linear, Homogeneous or Bernoulli)
Solve using mathematical model of increment and decrement:
dx/dt=kx
When interest is compounded continuously, the amount of money increases by a proportional rate to the quantity S present in time t, that is, ds/dt=rs, where r is the annual rate of
interest.
(a) Find the amount of money accumulated at the end of eight years when deposited $ 10,000 in a savings account that produces a compound annual interest rate continuous of 6 3/4 %
(b) In how many years will the initial amount deposited have doubled?
(c) Use a calculator to compare the amount obtained in part (a) with the
quantity S= 1000(1+ 1/4(0.0675)8(4) that accumulates when interest is compounded
(capitalizes) quarterly everey 3 months.
Solve the differential equation (Using Separable Variables, Exact, Linear, Homogeneous or Bernoulli)
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