Answer:
10
Step-by-step explanation:
m = least prime number = 2
n = least positive integer multiple of 12 = 12
n - m = 12 - 2 = 10
Answer:
<em>The salesperson's commission for this month is $3,803</em>
Step-by-step explanation:
<u>Percentages</u>
Let's call x to the sales volume, not including commission.
The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x
We are given this total invoice, thus:
1.0825x = $49,900
Dividing by 1.0825:
x = $46,097
The salesperson's commission is
0.0825*$46,097=$3,803
The salesperson's commission for this month is $3,803
Answer:
As Given △QRS is rotated about point P to △Q′R′S′ .
As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.
Out of the options given
→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.
→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.
are true.
The general solution of <span>y' + 2xy = (x^3) is y(x) = c1e^(-x^2)
The general solution of </span><span>ydx = (y(e^y) - 2x)dy is x = c1/(y(x))^2 + (e^y(x) ((y(x))^2 - 2y(x) + 2)/(y(x))^2
</span>
The general solution of<span> (dP)/(dt) + 2tP = P + 4t - 2 is P(t) = c1e^(t - t^2) + 2</span>
To factor a number out of an expression means to divide each term of the expression by that number.
So, if you want to factor 
from the expression 
, you'll write it as
So, in your case, when you divide both terms by -5 you get
So, the expression becomes
