<u>Answer</u>:
A. 
<u>Step-by-step explanation:</u>
The formula for arc length is:
arc length = rθ
where:
r is the radius = 7 in
θ is the central angle in radians = 135 ×
= 3/4 π
Substituting these values into the formula:
arc length = 7 in × 3/4 π
= 
Answer:
Solving the inequality
we get 
Option D is correct option.
Step-by-step explanation:
We need to solve the inequality
and find value of x
Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

Adding 2 on both sides

Now, we will divide 3 on both sides

So, we get x < 2
Solving the inequality
we get 
Option D is correct option.
Answer:
$1968
Step-by-step explanation:
It will depreciate by 10% 4 times, which means that the result in the end will be <em>$3000 * (100% - 10%) * (100% - 10%) * (100% - 10%) * (100% - 10%)</em>, or, put simply, <em>x = $3000 * (0.9)⁴</em>.
Power: x = $3000 * 0.6561
Multiply: x = 1968.3 ≈ $1968
compound interest equation for annually compounded

A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t

divide both sides by 1000

take ln of both sides

use ln rule 

divide both sides by ln(1.055)

using a calculator, we get that t=8.18544 yrs
so about 8.2yrs