Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Answer:
5.75
Step-by-step explanation:
for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!
Answer:
x=60
Step-by-step explanation:
Simplifying
0.79x + 24 = 1.19x
Reorder the terms:
24 + 0.79x = 1.19x
Solving
24 + 0.79x = 1.19x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.19x' to each side of the equation.
24 + 0.79x + -1.19x = 1.19x + -1.19x
Combine like terms: 0.79x + -1.19x = -0.4x
24 + -0.4x = 1.19x + -1.19x
Combine like terms: 1.19x + -1.19x = 0.00
24 + -0.4x = 0.00
Add '-24' to each side of the equation.
24 + -24 + -0.4x = 0.00 + -24
Combine like terms: 24 + -24 = 0
0 + -0.4x = 0.00 + -24
-0.4x = 0.00 + -24
Combine like terms: 0.00 + -24 = -24
-0.4x = -24
Divide each side by '-0.4'.
x = 60
Simplifying
x = 60
Answer:
b
Step-by-step explanation:
xhxhdjdhxhdhehrhfhchxhdjeurjr
