Answer:
B
Step-by-step explanation:
We are given the function:
And we want to determine the value of:
Let this value equal <em>a</em>. In other words:
Then by the definition of inverse functions:
Hence:
Solve for <em>a: </em>
By the Zero Product Property:
Hence:
Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.
In conclusion, our answer is B.
Answer:
y = 75 - x
Step-by-step explanation:
From the question, we are given variables, and then we can see that
when x = 75 then y = 0
when x = 30 then y = 45
Finding the difference, we have
slope(m) = (45 - 0) / (30 - 75)
slope(m) = 45 / -45
slope(m) = -1
Next, we use the calculated m, to find b, using the formula
y = mx + b
0 = -1 * 75 + b
0 = -75 + b
b = 75
And finally, to get the needed equation, we say that
so y = mX+c
So that
y = -1 * x + 75
y = -x + 75
or y = 75 - x
To double the principle the formula is
2p=p e^rt
2=e^rt
2=e^0.12t
Solve for t
T=(log(2)÷log(e))÷0.12
T=5.78 years
Answer:
y=-10x+25
Step-by-step explanation:
Answer:
the best way is to follow the law, sales tax is not subject to discount by the seller.
Step-by-step explanation:
both ways result in the same outcome:
improper way, discount after tax
$50+$5(tax)=$55, after discount $55-$11(20%)=$44
proper way, discount before tax
$50-$10(20%)=$40+$4(tax)=$44
