The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)
A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):
Some terms are:
A1= 500
A2 = 500*[9/10]
A3 = 500*[9/10]^2
A4 = 500*[9/10]^3
....
A11 = 500*[9/10]^10 ≈ 174.339
Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339
The answer is 164. 5x4=20 and so on
14.4 rounds to about 14 as a percentage that is 14%
Note: I am not 100% sure that this is the correct way to solve this problem. It is just my best attempt to help.
Keep in mind that every percentage can be made into a decimal. 12% = 0.12 because 12% is also 12/100 as a fraction.
Since a percentage is the original number multiplied by the percent, you can solve this problem by dividing the number given by the percent. Be sure to turn the percent into a decimal to make it easier. Your work should look like this:
12% = 0.12
1,000 / 0.12 = 8,333.33
That is the first step. How you have to finish the problem and find what 88% is. To do this, you can simply multiply 88%, or 0.88, times the answer you get in the first part. Your work should look like this:
88% = 0.88
0.88 * 8,333.33 = 7,333.33
Now to check your work, you can add 7,333.33 and 1,000 to see if it equal the total of 8,333.33
7,333.33 + 1,000 = 8,333.3
Since it is equal, this is your answer.
