We are told that f(x) = x + 2. We want to find 
.
Squaring f(x) on one side means we square x + 2 on the other.
So,
f(x) = x + 2
(f(x))² = (x + 2)²
= (x + 2)(x + 2)
We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.
= x² + 2x + 2x + 4
= x² + 4x + 4
So [f(x)]² = x² + 4x + 4
Answer:
1806 seats.
Step-by-step explanation:
From the question given above, the following data were obtained:
Row 1 = 24 seats
Row 2 = 27 seats
Row 3 = 30 seats
Total roll = 28
Total number of seat =?
From the above data, we can liken the roll to be in arithmetic progress.
Also, we are asked to determine the total number of seats in the theater.
Thus the sum of the sequence can be written as:
Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e
24 + 27 + 30 +...
Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:
First term (a) = 24
Common difference (d) = 2nd term – 1st term
Common difference (d) = 27 – 24 = 3
Number of term (n) = 28
Sum of the 28th term (S₂₈) =?
Sₙ = n/2 [2a + (n –1)d]
S₂₈ = 28/2 [2×24 + (28 –1)3]
S₂₈ = 14 [48 + 27×3]
S₂₈ = 14 [48 + 81]
S₂₈ = 14 [129]
S₂₈ = 1806
Thus, the number of seats in the theater is 1806.
58/1000 which reduces to 29/500 when you pull a two out of both numbers
Answer:
(A.)
21% selected health care as the sector most likely to lead the market in the next 12 months.
47% of managers classified themselves as bullish or very bullish on the stock market.
(B.)
The average return expected on equities over the next 12 months for equities was 11.2% for the population of investment managers.
(C.)
The length of time it will take for technology and telecom stocks to resume sustainable growth is estimated to be about 2.5 years by investment managers.
Step-by-step explanation:
Descriptive statistics gives a quantitative evaluation of particular scenario or information.
Here, the percentage of people who selected health care to lead the market in the next 12 months and the the percentage of managers who classified themselves as bullish or very bullish are examples of descriptive statistics.
The inference Given in the problem is about all investment managers, which is the population mean.
And the lengtb of time it will take for technology and telecom stocks to resume sustainable growth is estimated to be about 2.5 years by investment managers.
<h2>
Answer:</h2>
Account B will yield more.
<h2>
Step-by-step explanation:</h2>
Savings account A and savings account B both offer APRs of 5%
But savings account A compounds interest annually, while savings account B compounds interest monthly.
Lets check which account will yield more :
<h2>
Account A.</h2>
Lets take p = 10,000
r = 5% or 0.05
n = 1
t = 1
Compound interest formula is :
Substituting values in formula;
= $10500
<h2>
Account B:</h2>
Lets take p = 10,000
r = 5% or 0.05
n = 12
t = 1
Compound interest formula is :
Substituting values in formula;
= $10510
We can see that account B gives more yield as compared to account A. When an account is compounded monthly, we earn interest on interest. This is why we yield more.
Therefore, account B will yield more.
