What is bigger 13^2 or 15^2
1 answer:
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Answer:
The correct option is x=3 , y=2
Step-by-step explanation:
According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
Now we will plug the value y+1 of equation 1 in equation 2.
2x+3 = 3y+3
2(y+1)+3=3y+3
2y+2+3=3y+3
2y+5=3y+3
Now combine the like terms:
5-3=3y-2y
2=y
y=2
Now plug the value y=2 in equation 1.
x=y+1
x=2+1
x=3
Thus the values of(x.y) are{(2,3)}
Therefore the correct option is x=3 , y=2 .....
Answer: 4,676.96
Procedure:
The formula for compounded interest is:
Future value = investment * factor
Interests = future value - investment
Where r is the monthly rate, which you calculate as the % yearly rate divided by 12.
And n is the number of months which is equal to the number of years times 12.
These are the calculations:
Future value = 3080.43 *2.518 = 7,757.39
Interests = 7,757.39 - 3080.43 = 4,676.96
Procedure:
The formula for compounded interest is:
Future value = investment * factor
Interests = future value - investment
Where r is the monthly rate, which you calculate as the % yearly rate divided by 12.
And n is the number of months which is equal to the number of years times 12.
These are the calculations:
Future value = 3080.43 *2.518 = 7,757.39
Interests = 7,757.39 - 3080.43 = 4,676.96