Compound interest formula
P = the principal (the initial amount)
r= annual
interest rate (
expressed
as a decimal)
expressed
as a decimal)
annual
interest rate (
expressed
as a decimal)
n=
number of
interest periods
per year
(see the
table below
for more information)
t=
number of years
P is invested
A=amount after t
years
If investment interest rate is
compounded monthly
, then n = 12
If investment interest rate is
compounded quarterly
, then n = 4
If investment interest rate is
compounded semi-annually
, then n = 2
If investment interest rate is
compounded annually
, then n = 1
Answer:
P(x) = 2x² + 74x + 644
Step-by-step explanation:
The first number is x + 23.
The second number is:
2(x + 23) − 18
2x + 46 − 18
2x + 28
The product is:
P(x) = (x + 23) (2x + 28)
P(x) = 2x² + 28x + 46x + 644
P(x) = 2x² + 74x + 644
Answer:
For 2017 Season:
Mean = 75
Standard deviation = 2.07
For 2018 Season:
Mean = 75
Standard deviation = 5.26
Step-by-step explanation:
The following formulas will be used in these calculations:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where;
n = number of values = 8
x = each value
For 2017 Season
Mean = (73 + 77 + 78 + 76 + 74 + 72 + 74 + 76) / 8 = 600 / 8 = 75
Variance = ((73-75)^2 + (77-75)^2 + (78-75)^2 + (76-75)^2 + (74-75)^2 + (72-75)^2 + (74-75)^2 + (76-75)^2) / (8-1) = 30 / 7 = 4.29
Standard deviation = Variance^0.50 = 4.29^0.5 = 2.07
For 2018 Season
Mean = (70 + 69 + 74 + 76 + 84 + 79 + 70 + 78) / 8 = 75
Variance = ((70-75)^2 + (69-75)^2 + (74-75)^2 + (76-75)^2 + (84-75)^2 + (79-75)^2 + (70-75)^2 + (78-75)^2) / (8-1) = 194 / 7 = 27.71
Standard deviation = Variance^0.50 = 27.71^0.5 = 5.26
Answer:
Option A
Step-by-step explanation:
multiple each coordinate by 1/2
