For continuously compounded interest:
Amount = Principle * e^(rate * time)
A rate of 8% converted to a decimal value: r=0.08
With time t=4
and amount 1190
Plug all these values in,
1190 = Principle * e^(0.08 * 4)
And use your calculator to solve for the principle.
Maybe we'll call it P to make things easier.
1190 = P * e^(0.08 * 4)
1190 = P * 1.377
The principle is being multiplied by this 1.377,
divide by 1.377 to undo the multiplication.
864.11735 = P
Answer:
Failed to Reject Null Hypothesis
Step-by-step explanation:
Null Hypothesis: The means from two respective diets are the same Alternative Hypothesis: The two means from the two diets differ.
Fall in Cholesterol (mg/dL)
Diet n Mean SD
Rice 7 14.4 7.8
Vegetable 9 12.19 7.86
What is NOT true about the solution is that it can have different values
Answer:
Ben has mixed up the digit for millions and hundred thousands: he wrote 5 in the place for millions and 6 in the place for hundred thousands, but it should be the other way. I think that he should exchange those two digits in the faulty report.
Answer:
Value is x=8 and y=4
Step-by-step explanation:
Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,
and right triangle 'B' hypotenuse length of 3y and a leg length of y+4
To find : For what values of x and y are the triangles congruent by HL?
Solution :
Triangle A,
Hypotenuse: x+4
Leg: x
Triangle B,
Hypotenuse: 3y
Leg: y+4
Since the triangle A and B are congruent so, the sides of triangles are equal.
(Hypotenuse are equal) ..........[1]
and 
(Legs are equal) ..........[2]
Solving the equation of system,
Put the value of x from [2] in [1],
Substitute y in [2],
Therefore, The value of x=8 and y=4
Verifying for the values of x and y:
Triangle A,
Hypotenuse: x+4=8+4=12
Leg: x=8
Triangle B,
Hypotenuse: 3y=3(4)=12
Leg: y+4=4+4=8
Both hypotenuses and both legs are equal hence they are congruent.
