If f(5)=288.9 when r=0.05 for the function f(t)= pe^rt, then what is the approximate value of p?

The general equation is: f(t)= 

The given equation is: f(5)=288.9 when r = 0.05

Following the general equation, we know the following:

t=5, r = 0.05 and    = 288.9

Substituting all unknowns, we can solve for p

= 288.9

Solving for p,

p = 225

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1