Answer: it would take 3.1 months
Step-by-step explanation:
Let m represent the number of months that that it will take either of the runners to have the same amount of money in their accounts.
Let y represent the total amount that runner 1 saves for m months
Let z represent the total amount that runner 2 saves for m months
The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. This means that the total amount that he will save for m months would be
y = 112 + 45 + 25m
y = 157 + 25m
The second runner has $50 in savings and will save $60 each month. This means that the total amount that he will save for m months would be
z = 50 + 60m
To determine the number of months before the amount in the account of both runners becomes the same, we would equate y to z. It becomes
157 + 25m = 50 + 60m
157 - 50 = 60m - 25m
35m = 107
m = 107/35
m = 3.06
Hey there!
The answer to your question is y = -3/4x - 3
If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:
y = -3/4x + b
Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:
-6 = (-3/4)(4) + b
-6 = -3 + b
-3 = b
We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3
Hope it helps, and have an amazing day! You've got this!
The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>
The equation of a circle of center 
and radius r is given by:
The circle has center at (2,-4), hence 
.
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
#SPJ1
Answer: 5
Step-by-step explanation:
2 pizzas ten slices eatch, so 20 slices. 20 slices devided by 4 is five. :)
Answer:
$7500
Step-by-step explanation:
$5000 was deposited
5% annual interest of the $5000 is $250
so in ten years the interest will be 10 ×$250 =$2500
so the total sum that will be in the account is $5000 + $2500 =$7500
