Solve the problem.Two boats leave a dock at the same time. One boat is headed directly east at a constant speed of 35 knots (nautical miles per hour), and the other is headed directly south at a constant speed of 22 knots. Express the distance d between the boats as a function of the time t.
Fill in the blank(s) with the appropriate word(s).
d(t) = sqrt(1709)t
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How long will it take $900 to double itself if it is invested at 11% interest compounded semiannually? Please round the answer to the nearest tenth.
A. 6.5 years B. 9.5 years C. 7.0 years D. 5.5 years E. 7.5 years
A market analyst working for a small-appliance manufacturer finds that if the firm produces and sells x blenders annually, the total profit (in dollars) is
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Graph the function P in an appropriate viewing rectangle and use the graph to answer the following questions.
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(a) When just a few blenders are manufactured, the firm loses money (profit is negative). (For example, 
, so the firm loses $283.30 if it produces and sells only 10 blenders.) Approximately how many blenders must the firm produce to break even? Round your answer to the nearest whole number.
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(b) Does profit increase indefinitely as more blenders are produced and sold?
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(c) If not, what is the largest possible profit the firm could have? Please round the answer to the nearest dollar.
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What will be an ideal response?
Change the exponential expression to an equivalent expression involving a logarithm.4-2 = 
A. log-2
= 4
B. log4-2 = 
C. log1/164 = -2
D. log4
= -2
Supply the missing numbers. fraction decimal percent37.5%
A. 
0.375
B. 
3.75
C. 
0.375
D. 
3.75