Answer:
300(1.0125)^12t
Step-by-step explanation:
P=300
R=0.15
N=12
substitute them into the equation P(1+r/n)^nt and then simplify the equation. The answer should be 300(1.0125)^12t
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Answer:
-3/5
Step-by-step explanation:
Parallel lines have the same slope. If ab has a slope of -3/5 and is parallel to cd, the cd has a slope of -3/5
<u>Answer:</u>
-348
<u>Step-by-step explanation:</u>
We are given the following arithmetic sequence and we are to find the sum of its first 12 terms:
1, -4, -9, -14, . . .
For that, we will use the formula for the sum of the arithmetic mean:
We know the value of the first term (
) but we need to find the value of 
. So we will use the following formula:
Substituting these values in the sum formula to get:
-348
Answer:
11
Step-by-step explanation:
140-129=11
