Given:
Principal amount = $2000
Rate of interest = 3.5% compounded quarterly.
Time = 6 years
To find:
The amount after 6 years.
Solution:
The formula for amount after compound interest is:

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.
The interest is compounded quarterly, so
.
Substituting
, we get




Approximate the value to the nearest hundredth.

The amount after 6 years us $2465.10. Therefore, the correct option is A.
X² - 8x = 9
x² - 8x - 9 = 0
x² + x - 9x - 9 = 0
x(x + 1) -9(x + 1) = 0
(x+1)(x-9) = 0
x = -1 or 9
In short, Your Answers would be -1 & 9
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Answer:
The value of x = 11
Step-by-step explanation:
Given
≅ 
Determining the value of x
As B is between A and C, so
≅ 
as
so
x + 5 = 2(x-3)
x+5 = 2x-6
2x-x = 5+6
x = 11
Therefore, the value of x = 11
The ratio is 33:24 which would simplify to 11:8.
There were 33 rolls that were greater than 33. Since there were 57 rolls altogether, there were 57-33 = 24 rolls that were not greater than 33; they must be less than or equal to 33. Thus the ratio is 33:24.