
Substitute
, so that
, and

which is separable as

Integrate both sides with respect to
. For the integral on the left, first split into partial fractions:



Solve for
:






Replace
and solve for
:


Now use the given initial condition to solve for
:

so that the particular solution is

Answer:
$125.25
Step-by-step explanation:
8.75*h+11.25*e
h is hours regular pay and e is extra pay for overtime. Since its an extra $2.50 for overtime, add that to the regular pay. Put in the hours:

Simplify by multiplying 8.75 by 8

Simplify by multiplying 11.25 by 5

Add

Since it says how much did each earn, as in individually, leave it as it is (unless regular pay was $2.18 an hour, which would be a rip-off). I'm pretty sure including the number of employees was meant to throw you off.
Answer:
25 girls
Step-by-step explanation:
Let
x denote number of boys
and
y denote number of girls
According to the statement that total 45 people came,
x+y = 45 => Eqn 1
And total paid amount was 175
So,
5x + 3y = 175 => Eqn 2
For solving, We will use the substitution method
So, from eqn 1
x = 45-y
Putting value of x in eqn 2
5(45-y) +3y = 175
225 - 5y + 3y = 175
-2y+225 = 175
-2y = 175-225
-2y = -50
2y = 50
y = 25
Putting y =25 in eqn 1
x+25 = 45
x = 45 - 25
x = 20
As y= 25
So, 25 girls came to the dance ..
Answer:
164+3.28
Step-by-step explanation:
(16.4)(10)+(16.4)(0.2)
164+3.28
167.28