You put $5,000 in a simple interest account at a bank. You will earn $1,200 in just 4 years. What is the annual interest rate for the account?

Answers

Answer 1

Answer: 1200 = 5000*4r
1200/20000 = r = .06 0r 6%

The missing value is the height, and it's equal to 746 centimeters, approximately.

Step-by-step explanation:

The complete question is

Find the missing dimension of the cylinder. Round your answer to the nearest whole number. Volume = 10,000π in. The radius is 16

A cylinder volume is defined by

$V= \pi r^(2) h$

Where $V=600,000 }cm^(3)$ and $r=16cm$ .

Replacing given values, we have

$600,000=\pi (16)^(2)h$

Solving for the height, we have

$h=(600,000)/(\pi 256) \approx (600,000)/(803.84) \approx 746$

Therefore, the missing value is the height, and it's equal to 746 centimeters, approximately.

Final answer:

To find the missing radius of a cylinder given its volume of 600,000 cm³, we use the formula r = √(V/π) assuming unit height, which upon calculation gives an approximate radius of 437 cm, rounded to the nearest whole number.

Explanation:

To find the missing radius of the cylinder when given the volume, we use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder. As we are given the volume and need to find the radius (r), we rearrange the formula to solve for r:

r = √(V/πh)

Since the height (h) is not provided in the question itself, we must assume that it is either known or that the cylinder is such that the volume and radius alone are sufficient to determine the missing dimension (possibly a cylinder with unit height). In such a case, the formula simplifies to: r = √(V/π).

Using the provided volume of 600,000 cm³, the calculation would be:

r = √(600,000 cm³/π)

This equation can be input into a calculator to find the numerical value of r. Let's proceed with this:

r ≈ √(600,000 cm³/3.14159)

r ≈ √(191,000)

r ≈ 437 cm

This calculation gives us the approximate value for the radius, rounded to the nearest whole number. However, it is crucial to have the height of the cylinder to make an accurate calculation. In the absence of the height, the solution would need to treat the cylinder as having a unit height or some other given measurement.

Learn more about cylinder volume here:

brainly.com/question/16788902

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A solid object was sliced to form two new objects Each of the two new objects had a circular base Which shape could not have been the original object Cone Cylinder Prism Sphere

Answers

Answer: prism.

Step-by-step explanation:

Suppose you cut the objects horizontally.

The cylinder already has a circular base, so when you cut it you will have two cylinders, both with a circular base.

The sphere when cut in a horizontal line, will lead to two halves with a circular base of the same surface.

A cone already has a circular base, so when you cut it horizontally, you will end with a smaller cone (the top part that you cut) and the bottom part, that already had a circular base.

The prism has not circular sections, so it is kinda impossible to get a circular section when you cut a prism, then the correct option is a prism, this is because this is the only shape that has some faces confirmed by parallelograms.

The answer is a prism. If you think about it when you cut a cone, cylinder, or sphere in half you get a circle. If you cut a prism you'd get a quadrilateral.

Use the model to write an equivalent fraction 3 out of 4 = ______