Step-by-step explanation:
The given equations are :
y=-x+2 ....(1)
y = -4x +7 ....(2)
From equation (1) and (2)
-x+2 = -4x +7
Taking like terms together
-x+4x=7-2
3x = 5
x = 1.667
Put the value of x in equation (1)
y=-(1.667)+2
y = 0.333
The solution of the equations are (1.667,0.333). The attached figure shows the graph for the equations.
Say the total allowance is X.
4/9X=$28
Therefore 28/(4/9) = $63
Answer: a) , where 'A' is the value of car after 't' years.
b) $12446.784
Step-by-step explanation:
Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.
Then a function that models the value of the car will be
, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.
Thus after substituting given value, the function becomes
To find the value after 3 years, substitute t=3 in the above function.
Hence the value of car after 3 years=$12446.784
Answer:
B. x = 15, m∠Q = 75°
Step-by-step explanation:
Given:
m∠P = 105°
m∠Q = 
Angles P and Q are supplementary angles
To find value of
and m∠Q.
Solution:
[Sum of supplementary angles =180°]
[Substitution ∵ m∠P = 105° and m∠Q =
]
Subtracting both sides by 105°.

Dividing both sides by 5.
∴ 
∴ 
A vertex is the common point that two lines or rays diverge from.