If the geometric mean of a and 34 is 6 sqrt(17) find the value of a
1 answer:
Using the geometric mean concept, it is found that the value of a is 18.
----------------------
The geometric mean, of a data-set of n elements, , is given by:
That is, the nth root of the multiplication of all elements.
----------------------
In this question:
- Two elements(n = 2), a and 34.
Thus:
We find the square of each side, so:
Simplifying both sides by 17:
The value of a is 18.
A similar example is given at brainly.com/question/15010240
You might be interested in
Answer:
1. CI = P (1 + )^ n - P
CI = A - P
Where P is Principal
R is interest rate
n is number of years
2. a. Semi annually - four times in a year
b. Monthly - two times in a year
c. annually - once in a year
Step-by-step explanation:
1. Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .
i.e CI = Final period - Initial period
or CI = A - P
or CI = P(1+ ) ^n - P
2. (a) Semi annually
A = P (1 + )^ n × 4
(b) Monthly
A = P (1 + ) ^ n × 2
(c) Annually
A = P (1 + ) ^ n