The flow of lava from a volcano can be modelled by the function /(t) = 12(2– 0.8¹), where / is the distance from the crater, in kilometres, and is the time, in hours, since the eruption of the volcano. How fast is the lava travelling down the hillside after 4 h, to the nearest hundredth of a kilometre per hour?

Q: The function f(t) = 85000(.92)' represents the value of your truck after t years. a) Does the…

A: We have to use properties of exponential decay function to solve the question

Q: Assume that a runner runs a 100 meter sprint in 12.3 seconds. He accelerates steadily in the first…

A: The runner accelerates steadily in the first 25 meters. Let the acceleration be a m/s2 and suppose…

Q: Suppose a migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At time t…

A: Given that, A migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At…

Q: The base of a triangle is increasing at a rate of 2.6 cm/s. Its height is increasing at a rate of…

A:

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: The average annual salary, S, in dollars, of an employees at a particular job in a manufacturing S=…

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Q: average cost per gigabyte of RAM can be approximated by the function C(t)= 8,500,000(0.65)^ t, where…

A: Given query is to find the the average cost of ram for the given time.

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A: Put t=10 find s(10) and find growth rate

Q: A towns population, each year, can be modeled by the function P=12000(1.025)^t how fast, as a…

A:

Q: The population of a small town is modelled by the function P(t)=14000(1.025)' where t is the number…

A: Given the population of a small-town is modelled by the function

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years