Answer:
- amount lent: ₹6000
- interest received: Kamal, ₹600; Anand, ₹615.
Step-by-step explanation:
For principal P invested at simple interest rate r, the returned value in t years is ...
A = P(1 +rt)
If K is Kamal's returned value, the given numbers tell us ...
K = P(1 +0.05·2) = 1.1P
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For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...
A = P(1 +r)^t
If A is Anand's returned value, the given numbers tell us ...
A = P(1.05)² = 1.1025P
This latter amount is RS.15 more than the former one, so we have ...
1.1025P = 1.1P +15
0.0025P = 15 . . . . . . . . subtract 1.1P
P = 6000 . . . . . . . . . . . divide by 0.0025 . . . . the amount lent
Kamal received 1.1P -P = 0.1P = 600 on the investment.
Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.
Answer:
y = -2x
Step-by-step explanation:
The line intercepts in point (0,0) so in the equation: y = mx + b, the b will be 0 (or gone).
Basically the equation would be:
y = mx
You only need the m or the slope of the line.
To know this, just count the rise/run from two points.
I chose two points given: (0,0) and (4,2)
From (0,0) to (4,2), you rise up by 4 and go left by 2 (negative 2 because it is going left).
rise/run
4/-2 = -2
m = -2
So the equation would be y = -2x
Answer:(3,1)
Step-by-step explanation:
For each question, there is a 1/2 chance at getting the question correct by guessing.
Let's take a scenario to better understand.
Suppose the true-false paper has 5 questions. For a perfect score by guessing, you'd need to get all 5 correct (ie (1/2)⁵)
The reason why you multiply is because you need each 1/2 simultaneously for a perfect score, which is an important concept when doing binomial probability later on.
Thus, let's use this knowledge to answer the question.
We need the minimum amount of questions such that the probability is less than 1/10.
We can write an inequality for this:

Now, we need to log both sides to find n.

n > 3.3219...
n ≈ 4
Thus, 4 questions is the minimum number of questions needed.
Answer:
x=84
Step-by-step explanation:
We know that the angles in a triangle are equal to 180.
39+57+x=180
96+x=180
x=84