If 1300 is invested at interest rate i compounded annually i

If $1300 is invested at interest rate i, compounded annually, in 3 yr it will grow to an amount A given by A-$1300(1+i) a) Find the rate of change, dA dA di DA di implify your answer. Use integers or fractions for any numbers in the expression. Do not include the S symbol in your answer.)

Solution

dA/di= 1300×3 (1+i)²= 3900 (1+i)²

dA/di means the rate at which A varies with respect to the rate of change of i.

D (p)= 75000/p;

d (D (p)/dp=-75000/p²;

dp/dt= 1.7

d (D (p))/dt= d (D (p)/dp× dp/dt

= -75000×1.7/(1.7t+10)²