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A new car cost $20,000 when purchased. After 6 years, the car is worth $8000. Assuming linear depreciation, what was the value of the car 2 years after the purchase?
Apply the product limit method to determine the survival function
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..
Write an equation for the hyperbola with vertices at (-5,5) and (5,5) and foci at (-7,5) and (7,5)
Parenthesis, Exponents, Multiplication and Division, addition and subtraction. Why are the order of operations required when simplifying expressions?
a farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length and width should be used?
Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 32.02 ounces.
The equation R = 0.028t + 20.8 can be used to predict the world record in the 200-m dash, where R is the record in seconds and t is the number of years since 1920. In what year will the record be in 19.0 sec?
A rectangular storage unit has dimensions 1m by 2m by 3m. If each linear dimension is increased by the same amount. What increase would result in a new storage unit with a volume 10 times the original?
What is the probability that Teesha will be picked as a guide? Hint: Teesha must be picked first or second.
A company wishes to manufacture a box with a volume of 52 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necess..
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
Water is flowing at the rate w of into a tank in the form of a cone of altitude h and base radius and with its vertex in the downward direction. How fast is the water level rising when the water is a certain depth x ?
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