Hey there, Lets solve this together.
[tex]F(t)=30(0.97)^t[/tex]
[tex]A = (p+r)^t[/tex]
The variable (R) will be representing the rate as a decimal.
When you solve for (R) multiply by 100 to get the percentage. A percentage is a rate, number, or amount in each hundred.
"0.97" will be replaced by "(97/100)"
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the given equation
[tex]Ft-((30))97/100) * t) = 0[/tex]
Rewrite the whole as a fraction using 10 as the denominator :
[tex]ft = ft/1 = ft * 10/10[/tex]
The equation now takes the shape :
t • (10f-291) = 0
f = 291/10 = 29.100
t = 0
Positive = Growth
Negative = Decay
[tex]1 + r = .97[/tex]
[tex]r = -0.03[/tex]