algebra - exponentials
Pa^t and Pe^rt are two forms of the same exponential function. One would expect to obtain the same answer for f(18) (after finding P and a and P and r). Explain why you may not get the same answer for f(18) in practice.
$7,000 is invested into two accounts: 4,000 into an account paying 5% interest compounded monthly and $3,000 into an account paying 4.1% interest compounded continuously. compute the total interest earned at the end of 2 years.
Math - logs
I need help solving this because it involves 2 bases: log (base 2) [log (base 5) 25]= ???
rectangular open-topped box is made from a 9 x 16 piece of cardboard by cutting x-inch squares out of each corner and folding up the sides. What size square should be cut out to produce a volume of 120 cubic inches?? I set it up with 120 = (16-2x)(9-2x)(x) I get to y = 2x^3 - ...
2. This cone bottom tank is the perfect solution for transporting chemicals such as pesticides around to various locations. The cone shape of this plastic tank equips it not only for easy draining of materials, but also provides an easy cleaning process. a. What is the volume ...
An engineer designed a 620 ft long water canal to drain a rainwater detention pond. It is to have a trapezoid cross-section that is 8 ft deep, 15 ft across the bottom, with walls sloping outward at an angle of 40. (a)Calculate the volume of earth that needs to be excav...
The fuel rods for a certain type of nuclear reactor are bundled into a cylindrical shell. Consider this cross-section showing 19 identical fuel rods: a) If the diameter of the one rod is 2.8cm, calculate the shaded area of the cross-section. b) If the length of the cylindrical...
So if the distance and height are reachable, why are these equations poor models of hitting a baseball: y = -0.5x^2 + 216x + 3 y = -0.002x^2 + 0.879x + 3.981 y = -0.002x^2 + 0.8732x - 3.981
why are these equations poor models of hitting a baseball: y= -0.002x(x-433.1) I get maximums of (216,93). Other problems' maximums are in the (220, 100)range. So are they poor models because the distance and heights are unreasonable? 2) Why is the constant a in y=ax^2 + b...
In a real-life situation, to model the distance x and the height of hitting a baseball y as in: y = ax^2 + bx + c 1. When dealing with the initial height of the ball, what is happening when x = 0? Is it that the ball has not yet traveled any distance? 2. What are the possible ...