Answer:
x=2.65
Step-by-step explanation:
First, we need to figure out how much the length of the sides is changing between the equations. In this case it is changing by a factor of 2.5. Now we need to work backwards. First use this equation:
This is because whatever the length of the side with x is, will be 14/2.5. So divide both sides by 2.5:
Next, add 5 to both sides:
Then divide both sides by 4:
Solution:
we are given that
Dan borrowed $750.00(=P) from his brother who is charging him 8% (=r)simple interest.
Dan pays his brother back in 6 months(=t).
we have been asked to find- how much does he have to pay back including the interest?
As we know that
Substitute the values we get
Hence net payable amount is 750+30=$780
First, find the slope of the given points (m = y2 - y1 / x2 - x1)
m = (6-1) / (-4-1) = 5/-5 = -1
Then substitute the slope and the coordinates of either point for x and y into y = mx + b, we’ll use (-4,6)
6 = (-1)(-4) + b
Solve for b
6 = 4 + b, subtract 4 from both sides: b = 2
Rewrite y = mx + b with m = -1 and b = 2
Equation: y = -1x + 2 or y = -x + 2
The answer is 8% because each rate (2%) goes up $200, making $1200 at 6% into $1800 at 8%.
Hope this helps!
Answer: Angelo is 13 years old.
Aaron is 15 years old
Alfred is 34 years old
Step-by-step explanation:
Let x represent the age of Angelo.
Let y represent the age of Aaron.
Let z represent the age of Alfred
The sum of three guys ages is 62. It means that
x + y + z = 62 - - - - - - - - - - -1
Angelo is two years younger than Aaron. It means that
x = y - 2
Alfred is four years older than twice Aaron's age. It means that
z = 2y + 4
Substituting x = y - 2 and z = 2y + 4 into equation 1, it becomes
y - 2 + y + 2y + 4 = 62
4y + 2 = 62
4y = 62 - 2 = 60
y = 60/4 = 15
x = y - 2 = 15 - 2
x = 13
z = 2y + 4 = 2 × 15 + 4
z = 34
