The future value that accrues when $900 is invested at 9%, compounded continuously, isS(t) = 900e0.09twhere t is the number of years. (Round your answers to the nearest cent.)(a) At what rate is the money in this account growing when t = 4?per year(b) At what rate is it growing when t = 10?$per year Suppose that the supply of x units of a product at price p dollars per unit is given by the following.p = 20 + 30 In(4x + 1)(a) Find the rate of change of supply price with respect to the number of units supplied.dpdx(b) Find the rate of change of supply price when the number of units is 31.$(c) Approximate the price increase associated with the number of units supplied changing from 31 to 32.$Need Help?Read ItWatch It[-/1 Points]DETAILSHARMATHAP12 11.3.001.NVAMY NOTESFind dy/dx at the given point without first solving for y.x2 - 7y – 29 = 0 at (1, –4)dydx

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The future value that accrues when $900 is invested at 9%, compounded continuously, is S(t) = 900e0.09t where t is the number of years. (Round your answers to the nearest cent.) (a) At what rate is the money in this account growing when t = 4? per year (b) At what rate is it growing whent = 10? per year