Answer:

Step-by-step explanation:
Given data
Charge per movie= $2.95
monthly fee= $39.95
let the number of movies be x
Hence the expression for the total is given as

∫4dy + 3dx
You can do this using Green's theorem. The line integral over the boundary of the closed triangle.
See the partial derivative of the partial derivative of 3 with respect to y = 0
You can see that now the line integral can be divided into three sides of triangle
hope this helps
A=P(1+rt)
P=3500
t=3yrs.
r=7.5% / 100 = 0.075
A= 3500(1 + (0.075 x 3)) = 4287.5
A= $ 4,287.50
Answer:

Step-by-step explanation:
The given expresion is;

We apply the product rule of indices;

We apply this property to our expression to get:

Simplify the exponent on the right;

We can't see the options, but I hope this helps!
Answer:
<em>Herlene has 8 dimes and 17 quarters</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = number of dimes Herlene has
y = number of quarters Herlene has
Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.
We know this amount is $5.05, thus:
0.10x + 0.25y = 5.05 [1]
It's also given the number of quarters is one more than twice the number of dimes, i.e.:
y = 2x + 1 [2]
Substituting in [1]:
0.10x + 0.25(2x + 1) = 5.05
Operating:
0.10x + 0.5x + 0.25 = 5.05
0.6x = 5.05 - 0.25
0.6x = 4.8
x = 8
From [2]:
y = 2*8 + 1 = 17
y = 17
Herlene has 8 dimes and 17 quarters