Answer:
$29500
Step-by-step explanation:
Given data
The number of months is 60
the downpayment is $5,500
the monthly payment is $400
Let the function for the total payment be given as
y=mx+c
y= 400(60)+5500
y=24000+5500
y= 29500
Hence the total paid for the car is $29500
Answer:
Initial value 
, rate of change: 
Step-by-step explanation:
Step 1
Find the rate of change
we know that
In a linear equation the rate of change is equal to the slope
The formula to calculate the slope between two points is equal to
we have
Substitute the values
----> rate of change
Step 2
Find the initial value
The equation of the line into slope-point form is equal to
Substitute
The initial value is the value of y when the value of x is equal to zero (is the y-intercept)
----> initial value
Answer:
Yes they are congruent
they are congruent by SSS rule that is Side Side Side rule
AD = CD (given side) in the question itself
AB = CB (given side) in the question itself
Db = BD (common side)
thats why by SSS rule they are congruent
Option A:
The another name for ∠1 is ∠JLK.
Solution:
How to Label Angles
:
There are two main ways to label angles:
1. Give the angle name by a number or a lower case letters.
2. The second way to name the angle is indicating by the vertex.
Usually the angle is denoted by three letters.
First letter and the second letter denotes the arms of the angle and the middle of the letter denotes the angle (its vertex).
To find the another name for ∠1.
The arms of the angle are LJ and LK and the vertex is L.
So, the name of the angle is ∠JLK.
Middle letter is the actual angle.
Therefore the another name for ∠1 is ∠JLK.
Option A is the correct answer.
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
