If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, t
1 answer:
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The principal sum is Rs.10,000
Step-by-step explanation:
The formula of compound interest is:
where:
- I is the interest
- P is the principal investment amount (the initial deposit or loan amount)
- r is the annual interest rate (decimal)
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
Jharana got Rs.1881 interest of certain sum for 2 year at 9%
compounded yearly
∵ I = Rs.1881
∵ r = (9/100) = 0.09
∵ n = 1 ⇒ compounded yearly
∵ t = 2 years
Substitute all of these values in the rule above
∴
∴ 1881 = P(1 + 0.09)² - P
∴ 1881 = P(1.09)² - P
∴ 1881 = 1.1881 P - P
∴ 1881 = 0.1881 P
- Divide both sides by 0.1881
∴ P = 10,000
The principal sum is Rs.10,000
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Answer:
Domain is (0,∞)
Range is (45, ∞)
Step-by-step explanation:
Let x represents the number of persons and f(x) represents the average cost per person,
∵ Fixed cost = $ 2500
Also, additional cost is $ 45 per person,
So, the total cost for x persons ( in dollars ) = fixed deposit + additional cost for x persons,
= 2500 + 45x
Which is a rational function,
∵ A rational function is defined for all real numbers except those for denominator = 0
Denominator of f(x) = x
So, f(x) is defined for all real numbers except x ≠ 0,
Now, the cost can not be negative,
⇒ x > 0
Hence, the domain for f(x) is (0, ∞)
Again,
If
So, 45 < f(x) < ∞
i.e., range of f(x) is (45, ∞)