Answer:
The combined amount is $14871.21.
Step-by-step explanation:
It is given that, the total yearly income of gentry family is <em>$29742.42</em>
<em>The % charge on income for food is 20%.</em>
<em>The % charge on income for housing is 30%.</em>
The amount in dollar from % form is given by,
=
For annual food,
=
= $5948.484
For housing budgets,
=
= $8922.726
Thus the combined amount is,
=
= $14871.21
Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration , we have the following equation of motion
where s (m) is the total distance, ta = 3 s is the time
Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration , we have the following equation of motion:
tk = 4 s is the time
Since we can conclude that
, so Alison would win.
The time it takes for Alison to cover the entire track
The time it takes for Kevin to cover the entire track
So Alison wins against Kevin by 6.93 - 6 = 0.93 s
Answer:
The answer is below.
Step-by-step explanation:
The options are not clear. I would solve a similar question.
A linear function is a function in the form:
y = mx + b; where y and x are variables, m is the slope and b is the y intercept.
From the options:
a) x(y - 5) = 2
xy - 5x = 2. Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.
b) y - 2(x + 9) = 0
y - 2x - 18 = 0
y = 2x + 18. The equation is in the form of y = mx + b, hence it is a linear function.
c) 3y + 6(2 - x) = 5
3y + 12 - 6x = 5
3y = 6x - 7. The equation is in the form of y = mx + b, hence it is a linear function.
d) 2(y + x) = 0
2y + 2x = 0
2y = -2x. The equation is in the form of y = mx + b, hence it is a linear function.
