Answer:59
Step-by-step explanation:
negative minus negative = positive
Answer:
1.) Y = 5/3 X + 4
2.) Y = 9/4 X - 27/4
Step-by-step explanation:
Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is
Y = MX + C
Where the
Slope M = 5/3
Coordinate = (-3,-1) in which
X = -3, Y = -1
Substitute X, Y and M into the general linear equation to achieve C
-1 = 5/3(-3) + C
-1 = - 5 + C
C = 5 - 1
C = 4
Substitute C and M back into the general linear equation.
Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be
Y = 5/3 X + 4
2.) Also,
Slope M = 9/4
Coordinate = (3,0) where X = 3, Y = 0
Substitute X, Y and M into the general linear equation to obtain C
0 = 9/4 (3) + C
C = - 27/4
Substitutes C and M back into the general linear equation
Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)
Y = 9/4 X - 27/4
Answer: $15385 should be deposited.
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.8%. So
r = 7.8/100 = 0.078
It was compounded for 4 years. Therefore,
t = 4
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore
21000 = P (1+0.078/12)^12×4
21000 = P (1+0.078/12)^48
21000 = P (1+0.0065)^48
21000 = P (1.0065)^48
P = 21000/1.365
P = $15385
Answer: Addie weighs 4 ounces
Missy weighs 14 ounces
Corky weighs 8 ounces
Step-by-step explanation:
Let a represent the weight of Addie.
Let m represent the weight of Missy.
Let c represent the weight of Corky.
Together Addie and Missy weigh 18 ounces. This means that
a + m = 18 - - - - - - - - - 1
Missy and Corky weigh 22 ounces. This means that
m + c = 22
m = 22 - c - - - - - - - - - - 2
Addie and Corky weigh 12 ounces. This means that
a + c = 12
a = 12 - c - - - - - - - - - - - 3
Substituting equation 2 and equation 3 into equation 1, it becomes
22 - c + 12 - c = 18
34 - 2c = 18
- 2c = 18 - 34 = - 16
c = - 16/ - 2 = 8
Substituting c = 8 into equation 2, it becomes
m = 22 - 8
m = 14
Substituting c = 8 into equation 3, it becomes
a = 12 - 8
a = 4