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
The formula for calculating the height is h = 3V/πr²
<h3>Subject of the formula</h3>
The formula given is the formula for calculating the volume of a cone
V = 1/3πr²h
where
h is the height
r is the radius
Make h the subject of the formula
Cross multiply
3V = πr²h
Divide both sides by πr²
3V/πr² = πr²h/πr²
h = 3V/πr²
Hence the formula for calculating the height is h = 3V/πr²
Learn more on subject of formula here: brainly.com/question/657646
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First way (no distribution)
-2(3z + 1) -10 = 4
-2(3z + 1) = 14
3z + 1 = -7
3z = -8
z = -8/3
Second way (with distribution)
-2(3z) - 2(1) - 10 = 4
-6z - 2 - 10 = 4
-6z = 16
z = 16/-6 = -8/3
z = 26/-6
X=7
you're going to set them equal to each other. subtract the x's on both sides and add the number (in this case, 5) on both sides of the equation. then divide the x by the 21 (you get 21 by adding the 5 to the 16). 21/3 = 7