Answer:
x = 4
Step-by-step explanation:
Using cosine triangle formula, we know that;
c² = a² + b² - 2ac(cos C)
From our diagram;
a = 2x
b = x + 1
c = 7
C = 60°
Thus;
7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60
49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)
49 = 5x² + 2x + 1 - 2x² - 2x
3x² + 1 - 49 = 0
3x² - 48 = 0
3x² = 48
x² = 48/3
x² = 16
x = √16
x = 4
Answer:
her monthly payments will be $104.12
Step-by-step explanation:
she will pay off the entire bill after 4 months
416.48 - 104.12n = 0
-104.12n = -416.48
n = 4
Answer: 125
Step-by-step explanation:
Given that:
The principal = 15000
Rate = 10%
Years = 1 year = 12 month
Interest I = PRT/100
I = (15000 × 10 × 1)/100
I = 1500
The amount of interest expense that would they record in May will be
Interest = I/ 12 = 1500/12 = 125
The volume of a cube is found by multiplying the length of any edge by itself twice. So if the length of an edge is 4, <span>the volume is 4 x 4 x 4 = 64</span>
Answer:
2000 players will complete the game with a perfect score.
Step-by-step explanation:
The testing phase tells us that 
is the probability that a person will finish with a perfect score.
This means 1 out of 500 people will be able to finish with perfect score.
Now,
the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be the of 1 million!
We do the calculation shown below:
So, 2000 players will complete the game with a perfect score.
