Suppose the function f has an initial value of 1,000 and a decay rate of 5%. Let the function g have an initial value of 400 and increase at a growth rate of 17%. Estimate a value of x, to the nearest tenth, for which f(x) = g(x).

4.4 years

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

where

a is the initial value

r is the rate of change

The equation of a exponential growth function is given by

where

a is the initial value

r is the rate of change

step 1

Find f(x)

in this problem we have

step 2

Find g(x)

in this problem we have

step 3

we have

solve the system by graphing

The solution is the x-coordinate of intersection point

using a graphing tool

The solution is x=4.4 years

see the attached figure

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the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.