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You can do it that way but you do not need to use logs because there is no unknown inidice.

This is how I would do it :)

1200=250(1+x/12)^4.2

\(1200=250(1+x/12)^{4.2}\\ 4.8=(1+x/12)^{4.2}\\ 4.8^{1/4.2}=[(1+x/12)^{4.2}]^{1/4.2}\\ 4.8^{1/4.2}=1+x/12\\ 4.8^{1/4.2}\;-1=x/12\\ 12[4.8^{1/4.2}\;-1]=x\\ x=12*[4.8^{1/4.2}-1] \)

x= 5.433377751

Thanks Rom,

When I do these i start by drawing a right anged triangle and mark one of the acute angels as theta.

sine cot theta = 1/4

opposite will be 4 and adjacent will be 1

use pythagoras to get the third side    sqrt(1+16) = sqrt{(17)

Now you can read all th other ratios off the triangle.

This only gives you the ratios for the acute angles though.

Since cot is positive, tan is positive so theta can be in the 1st OR third quadrants.

So some of the ratios can be + or - 

:))

LOL

What is the answer to the answer divided by the answer plus the answer?

The Answer is: No answer! Because you don't know the Answer! 

Let the answer be x

then 

\(\frac{x}{x}+x = 1+x\)

so the answer is 1+ the answer.

now

If 1+the answer = the answer then we have

1+x=x

subtract x from both sides and we have

1=0

Who ever said that mathematics does not make sence                         ROF LOL

3|2x-3|=3

Solve for x over the integers:
3 abs(2 x-3) = 3

Divide both sides by 3:
abs(2 x-3) = 1

Split the equation into two possible cases:
2 x-3 = 1 or 2 x-3 = -1

Add 4 to both sides:
2 x = 4 or 2 x-3 = -1

Divide both sides by 2:
x = 2 or 2 x-3 = -1

Add 2 to both sides:
x = 2 or 2 x = 2

Divide both sides by 2:
Answer: | 
| x = 2 or x = 1

Use the calculator here and see what you get: Just enter 125, then the  "÷" sign, then enter 5 followed by = sign.

Try and use the calculator here. You multiply decimals the same way as you multiply other numbers. Example: .125 X .375=0.046875.

\(\cot(\theta)=\dfrac 1 4 \\ \dfrac {\cos(\theta)}{\sin(\theta)}=\dfrac 1 4 \\ \dfrac{\sqrt{1-\sin^2(\theta)}}{\sin(\theta)}=\dfrac 1 4\\ \dfrac{1-\sin^2(\theta)}{\sin^2(\theta)}=\dfrac 1 {16} \\ 16 -16\sin^2(\theta)=\sin^2(\theta)\)

\(16 = 17\sin^2(\theta) \\ \sin^2(\theta)=\dfrac {16}{17} \\ \sin(\theta)=\sqrt{\dfrac{16}{17}}=\dfrac{4}{\sqrt{17}}\)

\(\cos(\theta)=\sqrt{1-\sin^2(\theta)} = \sqrt{1-\left(\dfrac{4}{\sqrt{17}}\right)^2}=\sqrt{\dfrac {1}{17}}\\ \sec(\theta)=\dfrac 1 {\cos(\theta)} = \sqrt{17}\)

A manufacturer of phones realizes a profit of $150 for each telephone sold. However, defective phones can not be sold and cost $300 to produce. Find the expected profit if the probability that a phone is defective is 2%.

Let x be the number of phones sold, so:

then the profit margin should be:

150x - (.02x X 300),

150x - 6x=144x, therefore the profit margin will be:

144x/150=.96 X 100=96% of the expected $150 price per phone.

1200=250(1+x/12)^4.2 how do you find x?

Let (1+x/12)=n, substitute,

1200=250 X n^4.2, divide both sides by 250,

4.8=n^4.2, take the log of 4.8

0.68124=4.2 X n divide both sides by 4.2

n=.1622, this is the log of base 10

n=10^.1622

n=1.452780, but n=(1+x/12), so we have:

1.452780=1+x/12, subtract 1 from both sides,

.452780=x/12, multiply both sides by 12

x=5.4334

Depends on how long he stays at the beach.

Example 

2 days = 12 shells each day

3 days =8 shells each day

4 days =6 shells each day...

Are you sure this is the only information given?

5h^4b^9/50h^4b^&

The reciprocal in Math means the inverse of a number: Examples: 3. its reciprocal is: 1/3. Also applies to fractions. Example: 2/3. its reciprocal is 3/2.......etc.

A wood chuck would chuck as much wood as a wood chuck could chuck if a wood chuck could chuck wood

12 +12

= 24

a = 4

If -5a+6=6a-38

Then what is the variable a?

 -5a+6=6a-38

38+6=6a+5a

44=11a, divide both sides by 11

a=4

i cant figure this qustion out please help me the qustion i wnt to ask you is two divided by three and two thirds.

2 / 3 2/3=2 / (11/3)=2 X 3/11=6/11, which is your answer.

Thanks for that good presentation, Melody......

\(\mbox{The current flow through the internal resistance causes the voltage drop.}\\ dV=i R\\ (1.45-1.38)V = 0.35 R~~ A \Omega \\ R \Omega = \dfrac{0.07 V}{0.35 A} =0.2 \Omega = 200 m\Omega\)

...........

An easy way to get the answer is go use the calculator found on the site

Click HOME, and the calculator should appear

Click the 9, then the + sign, then 10 and hit =

-8 - (-6)

The 2 negatives cancel each other out

-8 + 6

Add

-2

There you go :)

\(\mbox{I'm going to assume it's linear and then check.}\\ (p-32.50)=m(N-250)\\ m=\dfrac{31-32.5}{400-250} = \dfrac{-1.5}{150}=-\dfrac 1 {100} \\ \mbox{so }(p-32.50)=-\dfrac 1 {100}(N-250)\\ p=-\dfrac{N}{100}+35\)

\(\mbox{Checking the two inside points.}\\ 32=-3+35 \Rightarrow True\\ 31.50=-3.5+35 \Rightarrow True\\ \mbox{so all the points check out and the formula is correct.}\)

(b) \(R(N)=N p(N) = N\left(35 - \dfrac N {100}\right)\)

(c) \(Profit(N) = R(N) - C(N) = N\left(35-\dfrac N{100}\right)-(30N+700)\)

\(Profit(N)=5N - \dfrac{N^2}{100}-700\)

You are always welcome Saseflower,

Don't make yourself such a stranger in the future  !!!