Answer:
6.914miles (to 3 decimal places)
Step-by-step explanation:
Length of an arc = θ/360 *2πr
angle subtended by arc at the center of the earth = 6 minutes
1 minute =1/60 degree
6 minute= 6/60 degree =0.1°
θ=0.1°
radius of earth = 3960 miles
distance along the arc = 
=6.9142857143miles

A=future amount
P=present amount
r=rate in decimal form
n=number of times per year to be compounded
t=time in years
so
P=200
r=0.06
n=1
t=6
evaluate to find A


A=283.704
round
A=$283.70
Answer:
30 inches
Step-by-step explanation:
Assuming the lengths are measured when B lies between A and C on a line, the segment addition theorem applies:
AC = AB +BC
42 = AB + 12 . . . . . fill in the given numbers
30 = AB . . . . . . . . . subtract 12
The length of AB is 30 inches.
Answer:
$0.25
Step-by-step explanation:
Site A pays ...
... $0.65 × 5 = $3.25
Site B pays ...
... y = 0.60·5 = 3.00 . . . dollars
Site A pays more by ...
... $3.25 - 3.00 = $0.25
_____
You can also look at the difference in unit rates. Site A pays $0.65 per photo, while site B pays $0.60 per photo, a difference of $0.65 - 0.60 = $0.05 per photo. Then 5 photos will be worth $0.05 × 5 = $0.25 more at Site A.