The amount of water left in a cup after sitting outside in the sun can be modelled by the function A(t) = 120((1/2)^(t/3)) where A(t) represents the amount of water in mL and t represents the time passed in hours write down how much water will be there after 24 hours. Round your answer to 2 decimal places. write down how long it takes for the amount of water to get to 15 mL

Q: he model t = 16.625 ln (x/x-750), x > 750 approximates the length of a home mortgage of $150,000 at…

A: Given function is          a)            t =16.625 lnxx-750,  x>750

Q: Solve for x x/12.4=4ft 6in/6ft 3 in

A: 1 ft=12 inch 4 ft 6 inches =4(12)+6=54 inches 6 ft 3 inches =6(12)+3=75 inches

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: Suppose a county's population can be approximated with the function P(t)=34(1.00804)^t where t is…

A: Given t  is the number of years since 2000 So, 2000 means t=0  At t=0  So the population of 2000 is…

Q: The following function takes t, the number of years since a number of elk were released into a…

A: To find out the number of years it will take to rach 270

Q: Suppose that y varies directly as the square root of x, and that y = 30 when x = 100. What is y when…

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=…

A:

Q: The function h(x)=5000⋅(1.08)^x, represents a loan taken out by a college student. x represents time…

A:

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.

Q: The amount of money present in an investment account can be modeled by the function S(t) =…

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

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

Q: The amount of a substance remaining (in grams) is given by the function P (t) = 1.9(.89)^t/2 where…

A:

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.