Answer:
$481.25
Step-by-step explanation:
The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is
i = ($3500.00)(0.055)(2.5 yr), or
i = $481.25
Answer:
8.733046.
Step-by-step explanation:
We have been given a definite integral
. We are asked to find the value of the given integral using integration by parts.
Using sum rule of integrals, we will get:

We will use Integration by parts formula to solve our given problem.
Let
and
.
Now, we need to find du and v using these values as shown below:






Substituting our given values in integration by parts formula, we will get:



Compute the boundaries:



Therefore, the value of the given integral would be 8.733046.
P should equal 3. hope this helps.
Answer:
5x
Step-by-step explanation:
UwU
Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE