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1. At what interest rate will it take $3000 to grow to $24,000 in an account that earns interest compounded monthly for 20 years? 2. Alice invests $10,000 in an account that earns 8% simple interest annually. What is the value of the account after three years?
The resulting value, Corey reasons, will yield the maximum point. Explain fully why Corey's method is flawed.
A random sample of size 10 bulbs is selected from the storage room, what is the probability that exactly 4 of the bulbs will have a lifetime less than 16 days?
If a roll of paper with inner radius 2 cm and outer radius 10 cm has about 10 thicknesses per centimeter, approximately how long is the paper when unrolled?
A rectangle has a width of 54 centimeters and a perimetere of 224 centimeters. What is the rectangles length?
Two buses leave towns apart at the same time and travel toward each other. One bus travels slower than the other. If they meet in hours, what is the rate of each bus?
Estimate the volume of the solid that lies below the surface z = 3x + 5y2 and above the rectangle R = [0, 2][0, 4]. Use a Riemann sum with m = n = 2 and choose the sample points to be lower right corners.
At what rate is the base of the triangle changing when the altitude is 17 centimeters and the area is 204 square centimeters?
A revolving lighthouse is located 100 m from the nearest point P on a straight shoreline. The light makes one revolution every 30 seconds. Find the speed at which a ray of light from the lighthouse moves along the shore at a point 200 m from P.
The length of the red line segment is 18, and the length of the blue line segment is 8. How long is the transverse axis?
Suppose X, Y, and Z are random variables with joint density function f(x, y, z) = Ce-(0.5x+0.2y+0.1z) if x 0, y 0, z 0, and f(x, y, z) = 0 otherwise.
Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
A random sample of 48 days taken at a large hospital shows that an average of 38 patients were treated in the emergency room (ER) per day. The standard deviation of the population is 4.
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