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Numerical Methods For Engineers, 7 Ed
- Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.arrow_forwardThe formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.arrow_forwardFind the constant of proportionality. y is directly proportional to x. If x=30, then y=15.arrow_forward
- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardA fund earns interest at a force of interest δt = 0.008t. Sam invests $7,000 at time t = 0. After T years, Sam has $8,766.26. Calculate T.arrow_forwardConsider a tank holding initially 100 L of a salt solution in which 1 kg of salt is dissolved. A salt solution begins to flow into the tank at a constant rate of 3 L/min. The concentration of salt in the solution entering the tank is 0.2 kg/L. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 2 L/min. Find the concentration of salt in the tank after 10 minutes.arrow_forward
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