For this we will use formula that is letting us to input: interest rate, starting funds, how often intereset rate is implemented, period we are observing. Formula looks like this:

where M is money, S is starting funds, "i" is interest rate, cp is compounding period and y is number of years. now we express and calculated for both of them and get
M = 318,479 for Patricks investement.
M = 331,482 for Brooklyn.
Which means Brooklyn's method will pay of more.
Answer:
Step-by-step explanation:
Total cake shared=1/2
Pete share=x
Bill= twice as much as Pete
=2x
Pete's share+ Bill's share=total share
x+2x=1/2
3x=1/2
x=1/2÷3
x=1/2×1/3
=1/6
Pete's share=x=1/6
Bill's share=2x
=2(1/6)
=2/6
=1/3
You would need 24 machines
Because 1 machine makes 5 envelopes per minute so simultaneously 24 machines can make 120 envelopes per minute.
Answer:

Step-by-step explanation:
Linear function:
A linear function has the following format:

In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: 
So

Finding b:
We replace one of the points. Replacing (4,80).



So

Answer:
0.0359
Step-by-step explanation:
Data provided:
mean values of three independent times are 15, 30, and 20 minutes
the standard deviations are 2, 1, and 1.6 minutes
Now,
New Mean = 15 + 30 + 25 = 65
Variance = ( standard deviation )²
or
Variance = 2² + 1² + 1.6² = 7.56
therefore,
Standard deviation = √variance
or
Standard deviation = 2.75
Thus,
Z-value = 
or
Z-value = - 1.81
from the Z-table
the Probability of Z ≤ -1.81 = 0.0359