Answer:
a. y^ -1 = e^x +2
Step-by-step explanation:
y = ln (x-2)
Exchange x and y
x = ln (y-2)
Solve for y
Raise each side with a base of e
e^ x = e^(ln(y-2)
e^x = y-2
Add 2 to each side
e^x +2 =y
Answer:
$359.42
Step-by-step explanation:
The difference in the investment values can be computed by making use of the formulas for the account balance in each case.
compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually
simple interst: A = P(1 +rt) . . . . simple interest at rate r
__
The account earning simple interest will have a balance of ...
A = $8000(1 +0.12×3) = $10,880
The account earning compound interest will have a balance of ...
A = $8000(1 +0.12)^3 ≈ $11,239.42
The difference between the two investments is ...
$11,239.42 -10,880 = $359.42
Answer:
X = 1
Step-by-step explanation:
When x = 1, gx is equal to 3 in both graphs. The input of x = 1 produces the same output value for both functions.
Answer:
4.9 units
Step-by-step explanation:
We are dealing with a Right angle triangle, and the c is actually the hypotenuse. We are given the measures of a and b.
a being 4, and b being 3.
We need to use the Pythagorean Theorem to solve this.
we can rewrite this as;
Calculation time
15 + 9 = c
c = 24
Now we find the square root of each equation to determine what 
is.
4 + 3 = 4.89897948557
Let's round that to the nearest tenth.
4.9 units
Hope this helped :)
Answer:
The change is a loss of 10 yards, so -10 yards.
Step-by-step explanation:
The total change in yardage after 2 plays is the sum of the yardage of each play.
What lost yardage means?
Lost yardage means negative yardage.
Imagine that in a Buffalo Bills game, Devin Singletary lost 2 yards on his first carry. So his total yardage is -2.
If in the next carry he gets 3 yards, his total yardage is 1. If he loses 1, his total yardage is -3.
First play
Loss of 5 yards.
So the first play counts for -5 yards.
Second play
Loss of 5 yards.
So the second play counts for -5 yards.
Total
-5 - 5 = -10
The change is a loss of 10 yards, so -10 yards.
