We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e ^(rt)
We know that r = 0.06, t=5, e = 2.71 and p= $8,000
A = 8,000 * 2,718 ^(0.06 * 5) = 8,000 * 2,718 ^ (0.3) = 8,000 * 1.3488158 = 10,798.53 so the answer is 10,798.53
The value of f is 348 pounds.
Given
At a big cat reserve, a male Bengal tiger weighs more than a female Bengal tiger.
The male tiger weighs 445 pounds.
The difference in the weight of the tigers is 97 pounds.
<h3>Difference;</h3>
The meaning of DIFFERENCE is the quality or state of being dissimilar or different.
The zookeeper created the bar diagram and the equation below is given as:
On solving the equation the value of f is;
Hence, the value of f is 348 pounds.
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3 pipes take 12 hours
⇒ In 1 hour, the 3 pipes can fill 1/12 of the pool
2 of the pipes take 18 hours
⇒ in 1 hour, the 2 pipes can fill 1/18 of the pool
In 1 hour, the third pipe alone can fill :
Time needed :
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Answer: It will take 36 hours for the third pipe to fill the pool.----------------------------------------------------------------------------------------
Answer:
R is not collinear.
S is collinear.
Step-by-step explanation:
The equation of the graph is given by y =x +2 ........ (1).
Now, the points P and Q having coordinates (5,7) and (-1,1) respectively lie on the graph of the equation (1) because those points satisfy the equation.
Now, if we consider another point R having coordinates (1,-1), then it does not lie on the graph of equation (1) as it does not satisfy the equation.{If you put x=1, then y will be 3 but not -1}
Therefore, P, Q, R are not collinear. (Answer)
Again if we consider the point S(-3,-1), it satisfies equation (1).{If you put x=-3 in the equation (1), y will be -1}.
Therefore, P, Q, and S lie on the same straight line. and they are collinear. (Answer)