Step-by-step explanation:
Clearly, there is a common difference between the monthly employment rates:
8.7% - 8.9% = -0.2%
8.5% - 8.7% = -0.2%
8.3% - 8.5% = -0.2%
a) So, for every month x, the percentage will go down 0.2%, starting at 8.9%. So, we can make this equation:
y = -0.2x + 9.1, where x = 1 would be October 2011.
January 2013 is 16 months after October 2011, so:
y = -0.2(16) + 9.1
y = 5.9%
b) To find when the unemployment rate will be zero, we set the equation equal to zero:
0 = -0.2x + 9.1
-0.2x = -9.1
x = 45.5 months
So, rounding up, the U.S. would reach a zero unemployment rate in 46 months or around September 2014? Not completely sure.
We are given the following information:
the sum of the first number cubed and the second number is 500
their product is a maximum
We are looking for the 2 missing numbers.
To answer this, let's represent the two numbers as x and w.
From the given, we can form the following equation:
We can then express y as:
We can express their product as:
To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.
Then we solve for the value of x where f'(x) = 0.
Then we use x = 5 to solve for the second number, w.
Therefore, the two numbers are 5 and 375.
The ones that subtract are 76=d+4, h+2=54.Because 76-4=72 which 72+4=76 and 54-2=52 and 52+2=54.
Answer:
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference( Common difference is the difference between a term and the previous consecutive term).
n represents the number of terms in the sequence.
From the information given,
a = 8
d = 6 - 8 = 4 - 6 = - 2
The equation for the nth term of the arithmetic sequence would be
Tn = 8 + - 2(n - 1)
