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Water is pumped out of a holding tank at a rate of 6- 6e-0.10t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?
A building 240 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)?
The half-life of radium is 1690 years. If 10 grams are present now, how much will be present in 50 years?
The market has an expected return of 12% and the risk-free rate is 4%. What is the alpha for the fad followers?
A dilation has a scale factor of 1/4. What term best describes this type of dilation?
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y.
Sue, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should be invested in each to rea..
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
Evaluate the Area enclosed by the first quadrant and the circle using integration
The principal P is borrowed at a simple interest rate r for a period of time (t). Find the simple interest owed for the use of money. Assume 360 days in a year and round answers to the nearest cent
Find the tangential and normal components of the position vector p(t) =
Evaluate formulae for the coefficients -Hint: Use the linear transformation
From the totals, find the average cost per ounce of prepackaged items. Convert your results to cost per pound. (Hint: How many ounces in a pound?) Cap'n Crunch cereal - 12.5 oz $3.50
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