Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
Part A)
Multiply the amount he earned by 8.5%
8.5% written as a decimal is 0.085.
75,000 x 0.085 = $6,375
Part B)
Subtract the amount of tax from his earnings:
75,000 - 6,375 = $68,625
Answer:
dude. why are you asking me?
Step-by-step explanation:
yuh.
We can write two equations for this. x = each minute of calls
Plan A = .1x + 16
Plan B = .14x
Make the two equations equal each other, so we can find when they are the same.
.1x + 16 = .14x
Subtract .1x from both sides
16 = 0.04x
Divide by 0.04 to get x by itself
400 = x.
Earlier, we set x as each minute of calls. This means that after 400 calls, Plan A and Plan B will cost the same.
To find the cost, substitute 400 into both equations by themselves.
Plan A cost = .1x + 16
Plan A cost = .1(400) + 16
Plan A cost = 40 + 16
Plan A cost = $56
Plan B cost = .14x
Plan B cost = .14(400)
Plan B cost = $56
Final answer: After 400 calls, Plan A and Plan B will both cost $56.
