Answer:
The correct answer is - $1977.7913.
Step-by-step explanation:
Given:
Maturity value = 2000
time = 3 years
rate = 6% compounded quarterly
Solution:
If A is the Maturity Value, P is the Principal Amount, r is the Rate of Return, n is the Frequency And t is the Time in Year then the Formula for Compound Interest would be -
A = P(1+r/n)^nt
Putting the given values in formula,
2000 = P*(1 + (0.06/4))^(3*4)
P = 2000/(1 + (0.06/4))^(3*4)
Thus,
P = $1977.7913
Answer:
The distance between 2 points on a graph is given as:
root over of ((x2-x1)^2 + (y2-y1)^2)
using this formula we have,
root over of ((5-(-3))^2 + (1-(-4))^2
=root over of (64+25)= 9.43
Ans: the distance between A and b is 9.43 units.
Answer:
Step-by-step explanation:
M = 2J
M = H + 7
M + J + H = 53
Then combine first two equations and solve in terms of J:
2J = H + 7 --> H = 2J - 7
Substitute for H & M in last equation:
2J + J + 2J - 7 = 53
5J - 7 = 53
5J = 60
J = 12
Then plug J into other equations:
M = 24
J =12
H = 17
Answer:
11:13
Step-by-step explanation:
Answer:
radius r = 3.414 in
height h = 6.8275 in
Step-by-step explanation:
From the information given:
The volume V of a closed cylindrical container with its surface area can be expressed as follows:


Given that Volume V = 250 in²
Then;

We also know that the cylinder contains top and bottom circle and the area is equal to πr²,
Hence, if we incorporate these areas in the total area of the cylinder.
Then;



To find the minimum by determining the radius at which the surface by using the first-order derivative.




![r =\sqrt[3]{39.789}](https://tex.z-dn.net/?f=r%20%3D%5Csqrt%5B3%5D%7B39.789%7D)
r = 3.414 in
Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:


Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.
Thus, from 

h = 6.8275 in