Let x = Parent's age now y = son's age now
Then, x-5 = parent's age five years ago
y-5 = son's age five years ago
So, x-5 = 5(y-5)
Simplify to get x - 5y = -20
Parent's age 8 years from now = x+8
Son's age 8 years from now = y+8
So, x+8 = 3(y+8)
Simplifying, we have x - 3y = 16
We have the system of equations: x - 5y = -20
x - 3y = 16
Subtract the equations to obtain -2y = -36
y = 18
x = 70
Parent is 70 years old and the son is 18 years old.
Answer:
A) 150
Step-by-step explanation:
All the angles in a triangle must add up to a total of 180 degrees.
So we can make an equation as given below:
20+10+?=180
30+?=180
?=150
So the missing angle is 150 degrees
Answer:
Approximately $584.43
Step-by-step explanation:
Your formula is A=Pe^rt
A is what you're looking for, the amount
P is the principal aka what you put into the account: $150
e is the mathematical constant. You'd plug that into your calculator.
r is the rate, you'd put it into the equation as a decimal: 8%=.08
t is the time in years: 17
A=150e^.08x17 <em>you can plug this into your calculator</em>
A=$584.43
A direct relationship requires a change in the same direction of both variables, answer c.
