Answer:
$7.7 million
Step-by-step explanation:
Given: $6.8 million profit made by company.
13% increase in profit every year.
Now, finding the company´s profit in the year of 2006.
As we know there is 13% increase in profit.
∴ Profit increase= 
Next adding company´s profit with increase in profit to get profit in the year 2006.
∴ 
≅ $7.7
The company´s profit in the year 2006 is $7.7 million.
Step-by-step explanation:
One year is 12 months. 12 mm is 1.2 cm.
Write and solve a proportion
1.2 cm / 4 months = x / 12 months
x = 3.6 cm
SohCahToa is an acronym for the basic trigonometric functions which are sine, cosine, and tangent. Sine's value comes from the quotient of the opposite side and the hypotenuse. Cosine's value comes from the quotient of the adjacent side and the hypotenuse. Lastly, Tangent is the quotient of the opposite side and the adjacent side.
Answer:
20.7%
Step-by-step explanation:
Amount of stock increased in Company A = 20% of 1790
= 0.20 * 1790 = $ 358
Investor's stock in company A this year = 1790 + 358 = $ 2148
Amount of stock increased in Company B = 22% of 1000
= 0.22 * 1000= $ 220
Investor's stock in company B this year = 1000 + 220 = $ 1220
Total amount in investor's stock account = 2148 + 1220 = $ 3368
Increased amount = 3368 - 2790 = $ 578
Increase percentage = 
= 20.71
= 20.7%
Answer:
See proof below
Step-by-step explanation:
Two triangles are said to be congruent if one of the 4 following rules is valid
- The three sides are equal
- The three angles are equal
- Two angles are the same and a corresponding side is the same
- Two sides are equal and the angle between the two sides is equal
Let's consider the two triangles ΔABC and ΔAED.
ΔABC sides are AB, BC and AC
ΔAED sides are AD, AE and ED
We have AE = AC and EB = CD
So AE + EB = AC + CD
But AE + EB = AB and AC+CD = AD
We have
AB of ΔABC = AD of ΔAED
AC of ΔABC = AE of ΔAED
Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC
So triangles ΔABC and ΔAED are congruent
That means all 3 sides of these triangles are equal as well as all the angles
Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that
BC = ED Proved
