1<br />Questão 10 - Um capital aplicado a<br />umos simples durante 2 anos, sob<br />taxe de juros de 5% ao mê
2 answers:
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Answer:
Part 1) The exact value of the arc length is
Part 2) The approximate value of the arc length is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to
we have
substitute
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
step 3
Find the approximate value of the arc length
To find the approximate value, assume
substitute
Given:
Principal = $14000
Rate of interest = 10% compounded semiannually.
Time = 11 years.
To find:
The accumulated value of the given investment.
Solution:
Formula for amount or accumulated value after compound interest is:
Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
Compounded semiannually means interest compounded 2 times in an years.
Putting in the above formula, we get
Therefore, the accumulated value of the given investment is $40953.65.