Answer:
The future value of this initial investment after the six year period is $2611.6552
Step-by-step explanation:
Consider the provided information.
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.
Future value of an investment: 
Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.
9% compounded semiannually for 6 years.
Therefore, the value of r is: 
Number of periods are: 2 × 6 = 12
Now substitute the respective values in the above formula.
Hence, the future value of this initial investment after the six year period is $2611.6552
Length of deck is 40 feet
<h3><u><em>Solution:</em></u></h3>
Sam wants the deck to have an overall perimeter of 60 feet
Perimeter of rectangular deck = 60 feet
Let "L" be the length of rectangle and "W" be the width of rectangle
Given that plans for a rectangular deck call for the width to be 10 feet less than the length
Width = length - 10
W = L - 10 ------ eqn 1
<em><u>The perimeter of rectangle is given as:</u></em>
perimeter of rectangle = 2(length + width)
Substituting the known values we get,
60 = 2(L + L - 10)
60 = 2(2L - 10)
60 = 4L - 20
80 = 4L
L = 20
Thus the length of deck is 20 feet
Height of the tower = 101.9 m
Solution:
Given data:
Angle θ = 27°
Adjacent side = 200 m
Opposite side = Height
Let height be taken as h.
The given image shows it is a right triangle.
Using basic trigonometric ratio formulas,
The value of tan 27° = 0.5095
Do cross multiplication, we get
0.5095 × 200 = h
101.9 = h
Height of the tower = 101.9 m
Answer:
6
Step-by-step explanation:
1. The Formula for volume of a Square is V=πr2h
2. So u would plug everything in.. so v- π4²12
3. so then u get 6
