Question

Sve question 4024271,16 skipped part, and you will not be able to come back to the skipped part. The future value that accrues when $600 is invested at 4%, compounded continuously, is S(t) - 6000.044 where t is the number of years. Exercise (a) At what rate is the money in this account growing when 97 Step 1 To find the rate the money is growing, we find the rate of change of S with respect to. That is, take the derivative of S(t). The function is a constant multiple of a natural exponential function. Therefore, we use the chain rule for differentiating natural exponential functions: dy du where is a differentiable function. dx dx eu Thus, S (0) - dollars per year Suit Skou cannot come back)

Answer 1

d-b t S(+) = 600 gout s' (t) = 600 = 600 gout 10.04 +) dt 0.04t s'lt) = 600x 0.04 e cout s'it) 2 4 e Part (a) 0.04 x 9 s'(a)= 24 x è 0.36 = 24 xe (۹) کے 24 X 1.43 33 s'(a) = 34-3459 Part (1) 0.04x15 s'lis) = 24 xe 0.6 24xe s'lis) = 24x 1.8281 s (15) = 43.73