Answer:
the median is 99
Step-by-step explanation:
(lowest) 35, 42, 72, <u>99</u>, 119, 120, 120.5 (highest)
the median is the middle #
the middle # is 99
If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,
m₁ + m₂ + m₃ = 180
Given the measures of the first two angles, the measure of the third angle is calculated through the equation,
m₃ = 180 - (m₁ + m₂)
Substituting the known expressions,
m₃ = 180 - (-3x⁵ + 2x²)
Simplifying,
<em> m₃ = 180 + 3x⁵ - 2x²</em>
Answer:
x < 1/2
Step-by-step explanation:
5(2x + 1) < 10
Divide each side by 5
5/5(2x + 1) < 10/5
2x+1 < 2
Subtract 1 from each side
2x+1-1 < 2-1
2x <1
Divide each side by 2
2x/2 <1/2
x < 1/2
We'll have to assume that interest is charged annually.
interest = i = p*r*t, where p is the initial amount ($25000), r is the annual interest rate as a decimal fraction, and t is the length of time, in years.
Then $2625 = $25000*0.035*t. Solve for t:
$2625
------------ = 0.035t = 0.105. Dividing both sides by 0.035, we get
$25000
t = 3 years (answer)