Find the volume in cm³ of a length of pipe which has these measurements. Volume of a cylinder = πr²h π = 3.14.

Response:

2(3-n)+5.

Clarification:

Twice a number plus five equals three times the difference between that number and two. "More" indicates addition, hence twice the number is represented as multiplying N (or whatever variable) with the determination that it equals three times the reduction of that number and two.

$125,060,000

one-hundred twenty-five million, and sixty thousand dollars

Also, 125.06 expressed as a fraction is 6253/50, if that representation is acceptable.

You can refer to it as 125.06 million dollars when using the figure from the prompt.

To find the solution, we will utilize the compound interest formula: 
where
represents the total amount after years
tex]P[/tex] indicates the original investment 
signifies the interest rate expressed in decimal
shows the frequency of compounding per year
indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span> and . Interest is compounded annually, so . To convert the percentage interest rate into decimal, we divide it by 100%


Now, we can insert these values into our formula:



Substituting  with :


Consequently, we find that the correct answer is D. 

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
</span>



Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>at a compound interest rate of 7.9% yearly.</span>

To determine the lateral area of the pentagonal prism illustrated in the figure, we begin the calculation.

According to the definition:

Where:

: Represents the lateral area

: Refers to the perimeter of the base

h: Denotes the height

By substituting the known values:

Result:

The test statistic (Z) is 2.5767, and the p-value of the test is 0.009975. The null hypothesis suggests that the smoking rate among students has not changed, while the alternative indicates otherwise. The z-statistic for the sampled proportion is computed, yielding z ≈ 2.5767. As we investigate whether the smoking percentage has shifted over the preceding five years, the two-tailed p-value is found to be 0.009975. This result is significant at a 99% confidence level, demonstrating substantial evidence that the percentage of smoking students has changed.