4/17=x/100 》400\17=x 》x=23.5
The <u>latest balance</u> in Pat's <u>checking account</u> is the<u> sum</u> of all possible amounts of money Pat has and gets.
It is known that:
- Pat's checking account balance was $540.30 at the end of May;
- Pat received her paycheck of $900.00 in the first week of June.
Therefore, the latest balance in her cheking account is
$540.30 + $900.00 = $1440.30
Answer: $1440.30
For the angle MPN we know that is oposite to the angle QPL so the will be equal so:
Now with the value of MPN we can made an equation for x so:
and we solve for x
and the angle LPM will be the complementari angle of 125 so:
Answer:
To find the equation of the line parallel to the graph, first of all find the slope of the graph by making y the subject of the formula and comparing the resulting equation with y = mx + c , knowing fully well that m stands for the slope.
So, from the equation of the graph give, y = 4x/5 +1/5, therefore the slope is 4/5. For a line to be parallel to the graph then they must have the same slope, to find the equation of the line at the given point, then we use the formula
y - y1 = m ( x - x1 )
y - 3 = 4/5 ( x - 1 )
multiply through by 5
5( y - 3 ) = 4 ( x - 1)
5y - 15 = 4x - 4
5y - 4x = - 4 + 15
so, 5y - 4x = 11 is the equation
Step-by-step explanation:
It is the 1st equation at the top.
Reason: First check the equations to check that the initial amount is 497 kg. You can do this by setting x = 0 into all of the equations. The 3rd and 4th equations evaluate to 2 when x = 0 and so you can eliminate the bottom 2 equations immediately. Equation # 2 does not work since the half-life value of 1.040 kg is way to small (significantly smaller than half of 497 kg).
You can check that equation # 1 is the right one, by setting x = 0 and getting
y = 497*(1/2)^[(1/38) * 0] = 497
so the initial amount is 497
Also check that there is 1/2 the amount at time 38 (since the half-life is 38 days)
y = 497 * (1/2)^[(1/38) * 38] = 248.5
248.5 kg is half of 497 and so this checks out for equation # 1.
Since we know equation # 1 is good, now we evaluate at x = 4 to get
y = 497 * (1/2)^[(1/38) * 4] = 462.029
so our answer to the thousandth places is 462.029 kg.
