Radius, r = 3
The equation of a sphere entered at the origin in cartesian coordinates is
x^2 + y^2 + z^2 = r^2
That in spherical coordinates is:
x = rcos(theta)*sin(phi)
y= r sin(theta)*sin(phi)
z = rcos(phi)
where you can make u = r cos(phi) to obtain the parametrical equations
x = √[r^2 - u^2] cos(theta)
y = √[r^2 - u^2] sin (theta)
z = u
where theta goes from 0 to 2π and u goes from -r to r.
In our case r = 3, so the parametrical equations are:
Answer:
x = √[9 - u^2] cos(theta)
y = √[9 - u^2] sin (theta)
z = u
Answer:
Given that, Vasudevan invested ₹ 60,000
For Compound Interest (C.I.)
A = P[1 + (r/100)]n
P = ₹ 60,000
n = 6 months and 1 year
R = 12% p.a. compounded half-yearly
where , A = Amount, P = Principal, n = Time period and R = Rate percent
(i) For easy calculation of compound interest, we will put Interest Rate as 6% half-yearly and n = 1.
Compound Interest to be paid for 6 months
A = P[1 + (r/100)]n
A = 60000[1 + (6/100)]1
A = 60000[(100/100) + (6/100)]
A = 60000 × (106/100)
A = 60000 × 1.06
A = ₹ 63600
(ii) Compound Interest to be paid for 12 months (1 year) compounded half yearly.
So, assume n = 2, r = 6%
A = P[1 + (r/100)]n
A = 60000[1 + (6/100)]2
A = 60000[(100/100) + (6/100)]2
A = 60000 × (106/100) × (106/100)
A = 60000 × (11236/10000)
A = 60000 × 1.1236
A = ₹ 67416
Answer:
Yes
Step-by-step explanation:
Because both triangles are equal in legnth.
Answer:
A.) 20x + 2y = 500
B.) y-intercept = 250; its meaning is how many boxes of pencils they started with.
C.) x-intercept = 25; How many T-shirts they can sell at most
Step-by-step explanation:
2y - 500 = -20x
20x + 2y - 500 = 0
20x + 2y = 500
y-intercept = 250; its meaning is how many boxes of pencils they started with.
20x + 2y = 500
20(0) + 2y = 500
2y = 500
2y/2 = 500/2
y = 250
x-intercept = 25; How many T-shirts they can sell at most
20x + 2y = 500
20x + 2(0) = 500
20x = 500
20x/20 = 500/20
x = 25
