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4 years ago

[Caculus HW]

1 answer:

4 0

3p=p(1+(.0557/365))^365t. Where, p is the beginning amound at t is the time it takes. You're right, just solve for t. If you need help with that, just ask! :)

EDIT:
Alrighty. So, you divide by p, to get 3=(1+(.0057/365))^365t. Now, we evaluate the inside to get 1.000015616, rounded to 9 decimal places. We now need to use logarithms to figure out what that t is. Trust me on this, or look up the mathematics behind it. We need that 1.0000... as the base for our log, and we need to have the actual subject of the log be the 3. Now that we have log base 1.000015616 of 3, we divide that atrocity by 365. We now get t to be equal to 192.7459133, rounded to 7 decimal places. While this does seem ungodly long, remember that everything in our problem is done in days. So, in reality, that just over half of a year.

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How do you evaluate logarithms? Explain using an example or mathematical evidence to support your answer.

kenny6666 [7]

Answer: Explanation below.

Step-by-step explanation:

First of all you need to know how to convert a logarithm into an exponential expression. The property is:

$log_Bx=n$

This is the same as: $B^n=x$

Example 1:

$log_99=$

We are trying to find what to raise 9 to, in order to get a result of 9.

$9^x=9$

When you have same bases, you equal exponents.

$x=1$

Therefore; $log_99=1$

Example 2:

$log_232=$

$2^x=32$

In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as: $2^5$ which is 2*2*2*2*2

Rewriting this example we have;

$2^x=2^5$

Since we have the same base, we equal exponents.

$x=5$

Therefore; $log_232=5$

Example 3:

$log_3729=$

$3^x=729$

729 can have a base of 3 if expressed as: $3^6$

$3^x=3^6$

$x=6$

6 0

4 years ago

Read 2 more answers

RST RS=7,RT=13 what is the measure of t

UkoKoshka [18]

Correct answer is option A. T

8 0

3 years ago

Select the correct answer. two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is labeled 4x

LekaFEV [45]

The value of x based on the information given in the triangle is D. x = 1.

<h3>How to compute the value?</h3>

From the information given, it stated that the triangles are similar.

In this case, both triangles have side 4 and 5. Therefore, we are to find the last side. This will be:

4x - 1 = x + 2

Collect like terms

4x - x = 2 + 1

3x = 3

x = 3/3

x = 1

Therefore, the correct option is D.

Learn more about triangles on:

brainly.com/question/1058720

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4 0

2 years ago

What is the greatest common factor of 38 and 72? EXPLAIN how you know.

vaieri [72.5K]

Answer:

Step-by-step explanation:

I know this because they both can go into 2 easily

4 0

3 years ago

A spherical ball with a volume of 2,304π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is

Nutka1998 [239]

Answer:

Therefore the volume of the box is 13824 in³

Step-by-step explanation:

Given:

A spherical ball with is packaged in a box that is in the shape of a cube.

Volume of ball = 2304π in³.

Let 'r' be the radius of sphere

To Find:

Volume of Cube = ?

Solution:

Volume of sphere is given by

$\textrm{Volume of sphere}=\dfrac{4}{3}\pi r^{3}$

Substituting the values we get

$2304\pi=\dfrac{4}{3}\pi r^{3}\\\\\therefore r^{3}=1728\\\\Cube\ Rooting\\\\r=12\ in$

Now we know that diameter is given by

$diameter=2\times r=2\times 12=24\ in$

it is given that,

The edge length of the box is equal to the diameter of the ball.

Therefore the length of cube = 24 in

Now the volume of the cube is given by

$\textrm{Volume of cube}=(edge)^{3}$

substituting the values we get

$\textrm{Volume of cube}=(24)^{3}=13824\ in^{3}$

Therefore the volume of the box is 13824 in³

6 0

4 years ago