Hello,
In order for lines to be parallel to each other, they need to have the same slope. So, let's plug in the points and slope for point-slope form.
The equation for point-slope form is: y-y1 = m (x-x1)
Let's plug in the points into the equation.
y-5 = m (x-0), and then let's plug in the slope for "m" : y-5 = 3 (x-0).
After plugging the numbers in, the equation is simplified to y-5 = 3 (x-0). Then distribute the 3 to the parenthesis. y-5 = 3x. To get y by itself, you need to add 5 to both sides. After that, the equation parallel to that equation is: y = 3x + 5.
Hope this helps! =)
Answer:
A hot dog would cost 1.75 and the juice would cost 1.05
Step-by-step explanation:
In order to find this, set x as the number of hot dogs and y as the number of juice drinks. This allows us to set up the following equations for each situation.
6x + 4y = 14.70
3x + 4y = 9.45
Now we can mutliply the second equation by -2 to get the x values to cancel out.
6x + 4y = 14.70
-6x - 8y = -18.90
------------------------
-4y = -4.20
y = 1.05
Now that we have this, we can plug it into either equation to find the cost of a hot dog.
3x + 4y = 9.45
3x + 4(1.05) = 9.45
3x + 4.20 = 9.45
3x = 5.25
x = 1.75
The answer to this problem is 6.28.
Answer:
Step-by-step explanation:
A)Initial amount deposited into the account is $6500 This means that the principal is P, so
P = 500
It was compounded daily. This means that it was compounded 360 times in a year. So
n = 360
The rate at which the principal was compounded is 3%. So
r = 3/100 = 0.03
It was compounded for 5 years. So
t = 5
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 6500 (1+0.03/360)^360×5
A = 6500 (1+0.00008333333)^360×5
A = 6500 (1.00008333333)^1800
A = $7551.70
B) The interest earned is Total amount earned - principal. It becomes
7551.7 - 6500 = $1051.7
Answer: Mary is correct.
9/8 is an improper fraction, so we change it to 1 1/8.
Mary lives less than a mile from school, so we know that Thad lives farther since he lives a mile and 1/8 away, and Mary only lives 6/10 away, which is less than a mile.
Glad I could help, and good luck!
