We can set up a proportion.
88% = 0.88
44/0.88 = x/1
Cross multiply:
0.88x = 44
Divide 0.88 to both sides:
x = 50
So your cell phone can hold 50 messages.
A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.
It looks like you're given

Then by the additivity of definite integrals this is the same as

(presumably this is what the hint suggests to use)
Then by the fundamental theorem of calculus, we have

Total money that will be in the account in 10 years = 45000
Time period = 10 years
Rate of interest = 5% or 0.05
n = 12 (number o times the money is compounded)
Let the principal (p) be = x
Formula for compound interest = 
Putting the values in the formula we get,





Hence, the principle amount should be approximately $27881.
We take the distance from points which indicates the location of the park and the mall.
For distance through north and east, we have positive values and negative for west and south.
Mall: (-3, -4)
Park: (3, 5)
The distance is calculate through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting,
d = sqrt ((-4 - 5)² + (-3 - 3)²
d = sqrt 117 = 10.82
Thus, the distance between the mall and the park is approximately 10.82 miles.