A=P(1+r)^t
18600=1000(1+0.0675)^t
18600/1000= (1.0675)^t
18.6= (1.0675)^t
log 18.6 = t log 1.0675
t= log 18.6/ log 1.0675
t=44.75 years
12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.
Hope this helps =)
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.
We convert the given information to equations, step by step.
Point 1: When Jackie is 1 mile farther from the intersection than Judy.
This means y is 1 mile more than x.
So,
y = 1 + x
Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection.
Distance between is x+ y.
So, x+y is 2 miles more than y.
x+y = y + 2
⇒
x = 2
From point 1 we have:
y = 1 + x = 1+ 2 = 3
So,
Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
You can just simplify to make an equivalent equation:
(2)(3x + 8) = 5 ⇒ 6x + 16 = 5
Answer:

Hope it helped,
BioTeacher101
<em>(If you have any questions feel free to ask them in the comments)</em>
We can get rid of the parentheses so it looks like this:
3x + 24x + 8.
Simplify:
27x + 8