Answer:
The value of x nearest to thousandths is, 74.207
Step-by-step explanation:
Solve : 
represents the logarithmic function with base e.
Using logarithmic properties:
, then 

Apply the logarithmic properties; we have

then;

or

Divide both sides by 2 we get;

Therefore, the value of x nearest to thousandths is, 74.207
Answer:
$81,000
Step-by-step explanation:
A = Final Payment = ?
P = Principal Amount = $30,000
r = Interest Rate = 8.5%
t = Time = 20 Years
A = P(1 + rt)
A = 30,000(1 + 0.085 x 20)
A = 30,000 + 51000
A = $81,000
Hence, Steph will pay $81,000 altogether.
I think the answer is B). because if the angle is changed if it turned on a fixed point. its changed if it translated or if the rays are changed, neither is it changed if it translated to the right either.
Answer:
1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻
Step-by-step explanation:
1. Let b be the number and B be the set, so mathematically, it is written as
b ∈ B.
2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write
∀ a ∈ N; 2a ∈ Z
3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.
Since each set is a subset of the latter set, we write
N ⊂ Z ⊂ Q ⊂ R .
4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write
J ≤ J⁻¹ : J ∈ Z⁻
Perpendicular bisectors are segment that passes through the mid point of a triangle, while altitude is the perpendicular distance from the base to the opposite vertex.