Domain is the years from 2000 through 2020 inclusive
<span>at 2000, t = 2000-2009 = -9 </span>
<span>at 2020, t = 2020-2009 = 11 </span>
<span>Domain: -9 ≤ t ≤ 11 </span>
<span>P(t) = 80(0.98)t </span>
<span>Since population models are almost always exponential, I'll assume you meant the "t" to be an exponent and the model should be: </span>
<span>P(t) = 80•0.98^t = 80 → t = 0 </span>
<span>The population is 80 at t = 0. The year corresponding to t = 0 is 2009</span>
Answer:
(-13,-4)
Step-by-step explanation:
4x-8y=-20
9x+113=y
Substitute in y for 9x+113
4x-8y=-20
Substitute
4x-8(9x+113)=-20
Simplify
4x-72x-904=-20
Simplify
-68x-904=-20
Additive Prop. of Equality
-68x-904+904=-20+904
Simplify
-68x=884
Isolate the variable(x)
<u>-68x</u>=<u>884</u>
-68x -68x
Simplify
x=-13
Solve for y
9x+113=y
9(-13)+113=y
-117+113=y
-4=y
Check
4x-8y=-20
4(-13)-8(-4)=-20
-52+32=-20
-20=-20
9x+113=y
9(-13)+113=-4
-117+113=-4
-4=-4
Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: 
Slope 
Line 2: 
Add 7 on both sides, we get
Slope 
Line 3: 
Slope 
Line 4: 
Subtract x from both sides, we get
Multiply by 
on both sides, we get
Slope 
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,
Therefore Line 1 and Line 4 are parallel lines.
Answer:
the amount paid for the loan would be $6700.80
