Drag steps of the solution into order to solve for x in the equation 7(x – 4) = 84.
2 answers:
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Answer:
5 years
Step-by-step explanation:
In the question we are given;
- Amount invested or principal amount as $5048
- Rate of interest as 4% compounded 12 times per year
- Amount accrued as $6,163.59
We are required to determine the time taken for the money invested to accrue to the given amount;
Using compound interest formula;
where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)
Therefore;
introducing logarithms on both sides;
But, 1 year = 12 interest periods
Therefore;
Number of years = 60.61 ÷ 12
= 5.0508
= 5 years
Therefore, it will take 5 years for the invested amount to accrue to $6163.59
ANSWER
EXPLANATION
We have that the shaded sector is subtended at 210 degrees at the center of the circle that has a radius of 12 inches.
The area of a sector is given as:
where A = angle the sector subtends at the circle's center
So, we have that:
That is the answer.