Divide by a whole number to get 40 which is 5 and then keep left over 3/8 to get mixed number of 5 3/8
Answer:
$954.78
Step-by-step explanation:
Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.
879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)
Answer:
(4,3)
Step-by-step explanation:
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x).
<span>Multiplying both sides of the equation by the integrating factor: </span>
<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>
<span>The left side is the derivative of ye^(6x), hence </span>
<span>d/dx[ye^(6x)] = e^(12x) </span>
<span>Integrating </span>
<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>
<span>y = (1/12)e^(6x) + ce^(-6x) </span>
<span>Use the initial condition y(0)=-8 to find c: </span>
<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>
<span>Hence </span>
<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
A. Hope this helped im sorry if its wrong
