Answer:
Katherine invested $12,000
Step-by-step explanation:
Use formula

where
I = interest,
P = principal,
r = rate (as decimal),
t = time (in years).
In your case,
t = 1 year,
r = 0.06 (or 6%)
P + I =$12,720, thus

Answer: ∠B=70°
Step-by-step explanation:
It is shown in the diagram that ∠A and ∠B is vertical angles.
- Vertical angle theorem: opposite angles are congruent.
<u>Solve:</u>
∠A=∠B
8x+6=4x+38
4x=32
x=8
<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
Answer:
440 miles
Step-by-step explanation:
Perimeter of a quadrilateral, P :
P = a + b + c + d
Which is the sum of all the sides ;
From the diagram attached ;
Perimeter of the quadrilateral is :
(170 + 160 + 80 + 30) = 440 miles