<span> the answer is 0.09526. your welcome</span>
Answer:
Step-by-step explanation:
Givens
Let the first piece be x
Let the second piece 4x
Let the third piece = 5x
Total length = 40 inches.
Equation
x + 4x + 5x = 40 Combine
Solution
10x = 40 Divide by 10
10x/10 = 40/10
x = 4
Answer
The smallest piece (x) = 4
The middle piece 4x = 4*4 = 16
The largest piece 5x= 5 * 4 = 20
We all know, savings account have "Compound Interest"
So, Here, On $100 deposit, amount of Interest = $12
So, for $50, it would be: $6
Then, for $300, it is: $36
b) If you deposit $200, then balance after 1 year,
A = P(1 + r)^t
A = 200(1 + 0.03)^1
A = 200(1.03)
A = $206
Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5
Hope this helps!
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:

In this case we have the set of 20 points described above, then the mean is:

Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.
Answer:
C. 134.04 
Step-by-step explanation:
The formula to calculate the volume of the cone is:
+) <em>Volume of a cone = 1/3 x Area of base x Height</em>
<em />
The base of the cone is a circle, so that the formula to calculate the are of the base is: <em>Area of base = </em>
x
The radius of the base is 4cm
=> <em>Area of base = </em>
x 4^2 = 3.14 x 16 = 16

The height of the cone is given equal to 8 cm
So the volume of the cone is:
+) <em>Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16</em>
<em> x 8 = 134.04 </em>
<em />
<em />
So the answer is C