91Ó°ÊÓ

Find the change in cost \(C\), revenue \(R,\) or profit \(P,\) for the given marginal. In each case, assume that the number of units \(x\) increases by 3 from the specified value of \(x .\) Marginal \(\quad\) Number of Units, \(x\) \(\frac{d R}{d x}=48-3 x \quad x=12\)

Find the change in cost \(C\), revenue \(R,\) or profit \(P,\) for the given marginal. In each case, assume that the number of units \(x\) increases by 3 from the specified value of \(x .\) Marginal \(\quad\) Number of Units, \(x\) \(\frac{d R}{d x}=75\left(20+\frac{900}{x}\right) \quad x=500\)

Find the change in cost \(C\), revenue \(R,\) or profit \(P,\) for the given marginal. In each case, assume that the number of units \(x\) increases by 3 from the specified value of \(x .\) Marginal \(\quad\) Number of Units, \(x\) \(\frac{d P}{d x}=\frac{400-x}{150} \quad x=200\)

Find the change in cost \(C\), revenue \(R,\) or profit \(P,\) for the given marginal. In each case, assume that the number of units \(x\) increases by 3 from the specified value of \(x .\) Marginal \(\quad\) Number of Units, \(x\) \(\frac{d P}{d x}=12.5(40-3 \sqrt{x}) \quad x=125\)

Find the amount of an annuity with income function \(c(t),\) interest rate \(r,\) and term \(T .\) \(c(t)=\$ 250, \quad r=8 \%, \quad T=6\) years

Find the amount of an annuity with income function \(c(t),\) interest rate \(r,\) and term \(T .\) \(c(t)=\$ 500, \quad r=7 \%, \quad T=4\) years

Find the amount of an annuity with income function \(c(t),\) interest rate \(r,\) and term \(T .\) \(c(t)=\$ 1500, \quad r=2 \%, \quad T=10\) years

Find the amount of an annuity with income function \(c(t),\) interest rate \(r,\) and term \(T .\) \(c(t)=\$ 2000, \quad r=3 \%, \quad T=15\) years

You are given the rate of investment Find the capital accumulation over a five-year period by evaluating the definite integral Capital accumulation \(=\int_{0}^{5} \frac{d l}{d t} d t\) where \(t\) is the time in years. \(\frac{d I}{d t}=500\)

You are given the rate of investment Find the capital accumulation over a five-year period by evaluating the definite integral Capital accumulation \(=\int_{0}^{5} \frac{d l}{d t} d t\) where \(t\) is the time in years. \(\frac{d I}{d t}=100 t\)