Answer:
Step-by-step explanation:
American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art
The answer is 138 million.
Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.
We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time
Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:

Logarithm both sides of the equation:

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17

Thus, the population will be 138 million in 2014
Answer:
9 + 3 + 1 + ......... = 13.5
Step-by-step explanation:
The series 9 + 3 + 1 + is the sum of an infinite geometric sequence. The first term of the series is 9 while the common ratio is 1/3;
to obtain the common ratio we obtain the quotient of any two successive terms, 3/9 or 1/3.
The sum of an infinite geometric series with first term a and common ratio r is given by;

Plug in the values of a and r into the formula;

<h3>
Answer: 98%</h3>
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Explanation:
The customer saves 15%, but still pays the remaining 85%. The two percentages add to 100%.
85% of $900 = 0.85*900 = 765
After the 15% discount is applied, the customer would pay $765
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Then after the sale, the price is marked up by 15%
This means we'll multiply by 1.15 to indicate a 15% increase
1.15*765 = 879.75
Notice that we don't get back to the original price (900) even though we increased by the same percentage as before. This is because 15% of a smaller number is a smaller amount; ie we have a smaller increase compared to the decrease earlier.
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Afterwards, divide the value 879.75 over the original price of $900
879.75/900 = 0.9775
Move the decimal point two spots to the right to end up with 97.75%
That percentage rounds to 98% when rounding to the nearest whole percent.
Factoring this expression using the identity of a²-b² = (a+b)(a-b)
Given :-
25 - x²
<em>This can be broken down into:- </em>
... ( 5 )² - ( x )²
<em>In this case, a is 5 and b is x </em>
... ( 5 + x ) ( 5 - x ) Is the answer.
Hope it helps!!