Answer:
Option 3
The rate of change is -5%
Step-by-step explanation:
Given : An exponential function for compounding interest, 
To find : What is the rate of change?
Solution :
The general form of an exponential function is:
Where, a is the initial amount,
(1+r) is the rate of change,
r is the growth or decay factor
We have given,
Rate of change is
Convert to percent,
Therefore, Option 3 is correct.
Answer:
3.78
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 9 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=9$.
Step 4: In the same vein, $x\%=42$.
Step 5: This gives us a pair of simple equations:
$100\%=9(1)$.
$x\%=42(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{9}{42}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{42}{9}$
$\Rightarrow x=466.67\%$
Therefore, $42$ is $466.67\%$ of $9$.
Answer:
x = 66
Step-by-step explanation:
√(x - 2) + 3 = 11
Subtract 3 from both sides: √(x - 2) = 8
Square both sides: x - 2 = 64
Add 2 to both sides: x = 66
