Answer:
Step-by-step explanation:
Given
See attachment for circles
Required
Ratio of the outer sector to inner sector
The area of a sector is:
For the inner circle
The sector of the inner circle has the following area
For the whole circle
The sector of the outer sector has the following area
So, the ratio of the outer sector to the inner sector is:
Cancel out common factor
Express as fraction
The sum of ( x +
) + (
x -
) is
x +
Step-by-step explanation:
To add or subtract 2 fractions, they must have same denominators, if they not do that
∵ ( x +
) + (
x -
)
- Let us start with adding the like terms
∴ ( x +
) + (
x -
) = (
∵ ( x +
x ) have same denominators, then we can add them
∴ ( x +
x ) =
x
∵ ( -
) do not have the same denominators, then we must find
LCM of 8 and 4
- The LCM of 8 and 4 is 8 because 8 is the first common multiple
of 8 and 4
∵ LCM of 8 and 4 is 8
- Divide 8 by the denominator 4
∵ 8 ÷ 4 = 2
- Multiply the numerator of the fraction by 2
∴
∴ ( -
) = (
-
) =
∴ ( x +
) + (
x -
) =
x +
The sum of ( x +
) + (
x -
) is
x +
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Answer:
THE TOTAL INTEREST EARNED = $ 385
Step-by-step explanation:
Interest earned by sal from first account can be calculated as follows :
Principal value (P) = $1000 .
interest rate (R) = 7.5 % .
Time period (T) = 1 year .
= $ 75 .
SIMILARLY , we can find the intrest earned by rest amount.
Principal value (P) = $5000 - $ 1000 = $ 4000 .
Interest rate (R) = 7.75 % .
Time period (T) = 1 year .
= $ 310 .
THE TOTAL INTEREST EARNED = $ 75 + $ 310
= $ 385