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You decide to enroll in a plan that gives you a 10% discount if you make telephone calls 7pm - 6am. The per minute charge is $0.10 and the sales tax is 6%. On the first month's bill you used the phone for 130 minutes 6am - 7pm and then 400 minutes 7pm - 6am. How much was your total bill?
a car traveling at 86 km/h when the driver sees an accident 65 m ahead and slams the brakes.. what minimum constant deceleration is required to stop the car in time to avoid a pileup.
Find all extreme values of f and the values of x at which they occur. Find the interval(s) on which the function f is concave up?
If a cylindrical container is filled to a depth of d cm by pouring in V cc of liquid, what is a graph that shows d versus V?
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries were installed, each flashlight was turned on and the time noted.
an open-top box is to be made by cutting small congruent squares from corners of a 30 x 30 sheet and bending it up to the sides. how large should the squares cut from the corners to make the box hold as much as possible?
How large a sample size will need to be selected if we wish to have a 95% confidence interval that is accurate to within 1%.
The base of a solid is a circular disk with radius 7. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
Chuck travels 88 miles in the same time that Dana travels 78 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
Discuss the concept of the derivative of a function.
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