Sarah scored 82 points on her first test of the year. On the second test,
82%
On the Second Test, She scored 77 points
77%
82
-77
=5
The Percent of Change is 5%
or -5% Because The second test Is lower than her first test
Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
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<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
Answer:
a) decay
b) 2,950,000
c) 0.025
d) 
e) 2,409,123
Step-by-step explanation:
<u>Part (a)</u>
Exponential DECAY, since the population was decreasing annually.
<u>Part (b)</u>
Initial amount = 2,950,000 people (in the year 2000)
<u>Part (c)</u>
Decay factor = 2.5% = 0.025 (in decimal form)
<u>Part (d)</u>
General form of exponential decay function:
where:
- a = initial amount
- r = rate of decay (in decimal form)
- x = time (in years)
Given:
<u>Part (e)</u>
To determine the city's population in 2008:
Hey there!
The answer is 
To solve this we use subtraction, because "the difference" represents subtraction, so:
Now, we must find a common denominator, and we can see that 
and 
both go into 
. To get to , we multiplied the first fraction by 5 and the second by 6, so we now have:
This is equal to
Hope it helps and have a great day!
