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An element with mass 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?


A greenhouse employee has 35 ounces of a potting soil and must place equal amounts of the soil into each of 8 small clay pots. What is the weight of the potting soil that should be placed in each clay pot?


Find nth derivative of e^ax cos² xsinx

To break even in a manufacturing​ business, income or revenue R must equal the cost of production C. The cost C to produce x skateboards is c=63+22x. The skateboards are sold wholesale for $25 each, so revenue R is given by R=25x Find how many skateboards the manufacturer needs to produce and sell to break even.​ (Hint: Set the cost expression equal to the revenue expression and solve for​ x.)


The average annual number of cigarettes smoked by an adult in some country continues to decline. For the years 2000-2012 the equation y=-77.8x+2051 approximates this data.​ Here, x is the number of years after​ 2000, and y is the average annual number of cigarettes smoked. If this trend​ continues, find the year in which the average annual number of cigarettes smoked reaches zero. To do​ this, substitute 0 for y in the equation and solve for x.


Find the value of the following expression for the given values.


n^2-m^2;n=-3 and m=-7


A university​ president's salary for the​ 2012-2013 academic year was $470,000 Calculate his​ 2013-2014 salary if he received a 2.7% raise.


The first aircraft has 54 more seats than the second aircraft. The third aircraft has 58 fewer seats than the second aircraft. If their total number of seats is 389. find the number of seats for each aircraft.

(Simplify your​ answer.)


In the last​ year, a total of 15,456 earthquakes occurred in a country. Of​ these 88.7% were minor tremors with magnitudes of 4.9 or less on the Richter scale. How many minor earthquakes occurred in the country in the last​ year?

(Round to the nearest whole​ number.)


if there are currently 45 heavy lifters at factory a and company increases it's fleet by 60% , how many total lifters will be at factory a and factory b after they are redistributed


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