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1. If a shipment of fruit contains 6 tons of bananas, 4 tons of grapes, 2 tons of apples, and 3 tons of oranges, what fraction of the shipment, by weight, is oranges?
2. A state environmental study determines that the coastal regions of the state lose 24.5 acres of wet-lands per month. At this rate, how many months will it take these coastal regions to lose a total of 343 acres?
3. dn = 13n + 200
The formula above represents the number of donuts, dn, that a bakery sold on the nth day of a festival. If the festival lasted 3 days, what was the total number of donuts that the bakery sold during the festival?
4. Connor and Joachim collaborated to write a computer program that consisted of 3,500 lines of code. If Joachim wrote 600 more lines of code than Connor did, how many lines of code did Connor write?
5. V(t) = 1000(1 + k)m
An analyst wants to use the formula above to estimate the value, in dollars, of a $1,000 initial investment in a mutual fund after m quarters have passed. If a $1,000 initial investment in this fund is worth $1,102.50 after 2 quarters, what number should the analyst choose for k?
The figure above shows a hemispherical bowl made of glass. The bowl is 9 centimeters high and the glass is 3 centimeter thick. A second bowl is to be constructed to scale with the original bowl, but with one-half the height and diameter. The smaller bowl can hold a maximum of kπ cubic centimeters of water. What is the value of k? (The volume of a sphere with radius r is given by the formula .)
The formula above indicates the initial investment, I, that must be made in an account with an annual interest rate of r to ensure a future value of FV after a period of n years.
To the nearest dollar, what initial investment should be made in an account that earns 20% annually (r = 0.20) in order to ensure a future value of $432 in two years? (Ignore the $ sign when gridding your answer. That is, enter $125 as 125.)
What value of r, to the nearest thousandth, would ensure that the value of an investment would increase by 69% in 2 years?
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