The graph of a function that models exponential decay is shown, where x represents one-year time periods. Find the initial population and the one-year decay factor. initial population 300 one-year decay factor -200

Q: P(t) = 2050(0.02)7 The initial value is. Is there growth or decay? The growth rate is. P(t) =…

A: Since p(t) = 2050(0.02)^7                   = 2.624×10^(-9) i.e p(t) is a constant, it is not a…

Q: Which situations are best modeled by an exponential relationship? Select all that apply. DA rocket…

A: If the output is increasing or decreasing regularly then it is exponentially relationship.

Q: Type the correct answer in the box. Graph 1 Graph 3 Graph 2 Graph 4 Graph describes exponential…

A: We have to identify the correct graph

Q: A population of birds on an island is initially 380 birds, and it doubles (or grows by 100%) each…

A: It is given that initial population of birds on an island is 380. Each year population of birds gets…

Q: Population of cats grows exponentially. The current population is 85 cats, and the relative growth…

A: Since n0 is the current population of cats, then we know population n(t) at time t is modeled by…

Q: An arborist creates a table of different tree height patterns over a 4 year period. Time Maple Pine…

A: Since the ratio of consecutive entries in the given table for the exponential model is constant Now,…

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A:

Q: K Prehistoric cave paintings were discovered in a cave in France. The paint contained 23% of the…

A: I have explained everything with in the solution. Please go through that.

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.