Respuesta :
Hey there, Lets solve this together.
[tex]F(t)=30(0.97)^t [/tex]
[tex] A=P(1+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]
Add the two equivalent fractions which now have a common denominator
[tex]ft * 10 - (291t) / 10 = 10ft - 291t / 10[/tex]
[tex]t * (10f - 291) / 10 = 0 [/tex]
[tex] t*(10f-291) / 10 * 10 = 0 * 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]
[tex]F(t)=30(0.97)^t [/tex]
[tex] A=P(1+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]
Add the two equivalent fractions which now have a common denominator
[tex]ft * 10 - (291t) / 10 = 10ft - 291t / 10[/tex]
[tex]t * (10f - 291) / 10 = 0 [/tex]
[tex] t*(10f-291) / 10 * 10 = 0 * 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]
