The formula we use for continuous compounding is
where P is the initial amount invested, r is the rate as a decimal, and t is time in years. Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75). Putting all that into our formula we have
. We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300. Doing all of that, we get the amount at the end to be $1,655.10
Answer: 4x-6y=5
Step-by-step explanation: Using the formula, Ax+By=C, write the equation in standard form.
Hope this helps you out! ☺
Answer:
x = 2
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
x² = 14² + 10² = 196 + 100 = 296
Take the square root of both sides
x = = 2
Let's go though the choices.
Major axis will get shorter. TRUE, CHECK ME
As the plane moves closer to the vertex the ellipse stays the same shape but shrinks.
Ellipse will become a circle. FALSE
As long as the plane is tilted, the ellipse can't be a circle.
Ellipse will degenerate to a point. TRUE, CHECK ME
Eventually the plane gets to the vertex, at which point (ha!) we have a single point.
Nappes? Is that a word? FALSE
The plane needs a steeper angle, steeper than the generators, before it can pass through both halves.
The generators are the lines through the vertex that form the cone. The plane isn't steep enough to hold any of them. FALSE
Answer:
Incorrect.
Step-by-step explanation:
Let, the first number is x, and the second number is y. Given, the second number is 125% of the first number. So, the equation will be
y = 1.25 x
Or, y= 5/4x
Now, multiplying it with 4/5, we get, x= 4/5y
Or, x= 0.80 y
But, Brad is saying the first number must be 75% of the second number. But here we see that the first number is 80% of the second number. That's why Brad is incorrect.