Answer:
x = 20
Step-by-step explanation:
The marked angles are vertical angles and congruent, thus
6x - 10 = 3x + 50 ( subtract 3x from both sides )
3x - 10 = 50 ( add 10 to both sides )
3x = 60 ( divide both sides by 3 )
x = 20
Answer: $5.22 (in the year 2021)
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Explanation:
The year 2021 is 22 years after 1999 since
2021 - 1999 = 22
That means we'll plug x = 22 into the equation given to us
P = 144*(0.86)^x
P = 144*(0.86)^22
P = 5.21588994768589 which is approximate
P = 5.22 rounding to the nearest cent
The share price is about $5.22 in the year 2021.
This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.
Answer:
(5x+3)(2x+4)=10x^2+26x+12
Step-by-step explanation:
You use FOIL (First, Outer, Inner Last)
First: 5x times 2x= 10x^2
Outer: 5x times 4= 20x
Inner: 3 times 2x= 6x
Last= 3 times 4
Combine 20x and 2x to get 26x
Explanation:
Mass of boy = 40 kg
Mass of box = 20 kg
Total mass = 60 kg
Initial potential energy = 0 (since height would be 0 initially)
Final potential energy = mgh
Taking g as 10 m/s²,
=> 60 × 10 × 15
= 9,000 J
So, work done = final potential energy - initial potential energy
= 9,000 J
Power = Work/Time
=> Power = 9000/25
=> Power = 360 J/s
or 360 watt.
Answer: 182.075
Step-by-step explanation: 145.66 divided by 0.8 =182.0.75