Answer:
10
Step-by-step explanation:
Use your fingers
Answer:
a. $311,555.26
b. $500,000
c. $188,444.74
Step-by-step explanation:
The computation is shown below:
a. Here we have to determine the present value
Given that
PMT = $25,000
NPER = 20
RATE = 5%
FV = $0
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
after applying the above formula, the amount that need in the beginning is $311,555.26
b. The total money should be
= $25,000 × 20 years
= $500,000
c. The amount of interest is
= $500,000 - $311,555.26
= $188,444.74
Answer:
-23
Step-by-step explanation:
Common difference = 2nd term - 1 st term
= -8 - (-3)
= -8 + 3
= -5
To get the next term add (-5) to the previous term
5th term = (-18) + ( (-5) = -23
The dimensions of a cylinder which has this maximum volume are equal to 1.83 units and 3 units.
<u>Given the following data:</u>
- Height of cylinder, h = 5.5 units.
- Radius of cylinder, r = 4.5 units.
<h3>How to calculate the volume of this cylinder?</h3>
Mathematically, the volume of a cylinder can be calculated by using this formula:
V = πr²h
Next, we would convert the above multi-variable function into a single-variable function by applying the properties of 2 similar triangles:
H/H - h = R/r
H - h = r(H/R)
h = H/R(R - r)
V = πHr²/R(R - r)
In order to maximize the volume of this cylinder, we would determine the critical points of the function by differentiating wrt r:
dV/dr = πH/R(2rR - 2r² - r²)
(2rR - 3r²) = 0
r = 2R/3
r = (2 × 4.5)/3
Maximum radius, r = 3 units.
For the max. height, we have:
h = H/R(R - r)
h = H/R(R - 2R/3)
h = H/3
h = 5.5/3
Maximum height, h = 1.83 units.
Read more on cylinder here: brainly.com/question/315709
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Answer:
See below.
Step-by-step explanation:
f(x) has local minimum values at x = -2 and x = 3.
The local minimum values of f(x) are -3 and 0.