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Why do you hate each other so much?

Thanks

You make no sense dude 

Here's the first one ....

2000 + (.015)*197,000  = $4955

NOBODY CARES!!!

...............

The tangent forms a right triangle.....AO  is the hypotenuse and AB is a leg....so.....by the Pythagorean Theorem......

r  = sqrt ( AO^2 - AB^2)  = sqrt ( 11.7^2 - 6^2 )   = sqrt ( 136.89 - 36) =

sqrt (  100.89) ≈  10.04  =  10 .0  (rounded)

......

What's the question ???

The domain is just the x values of the listed points.....so  "A" is correct 

you cant. Lets take for example an equation of the form a₀+a₁*x^t₁+a₂*x^t₂+a₃*x^t₃..........a_n*x^t_n=0,

where t₁ 2 3<..... n<0

Now multiply by x^-t₁ and get: a₀*x^-t₁+a₁+a₂*x^t₂-t₁+a₃*x^t₃-t₁+a₄*x^t₄-t₁+a₅*x^t₅-t₁..........a_n*x^t_n-t₁=0

the equation is exactly the same, no solution was added (you can check it)

So it doesnt tell anything about the answer.

Thank you :)

I never have learnt how to do that!! That method is awesome!!

Omi: A mistake in the second step: ln e^2t = ln 200 <--- 2t should be changed to 3t. A typo.

I think this might be :

2e ^(3t)  = 400   divide both sides by 2

e^(3t)  = 200      take the Ln of both sides

Ln e^(3t) = Ln 200    and we can write

(3t) Ln e   = Ln 200         Ln e   = 1  so we can ignore this

3t  = Ln 200          divide both sides by 3

t   = Ln 200 / 3  ≈  1.766

2e^(3t) = 400

e^(3t) = 200

3t = ln 200

t = (ln 200)/3

Stick's height / Its shadow height  =   Tower's height / Its shadow height

8 / 5  =  Tower's height / 40     multiply both sides by 40

40 * 8 / 5  = Tower's height

64 ft   =Tower's height

\(\frac{x}{40}=\frac{8}{5}\)

\(x=\frac{8*40}{5}\)

x=64

The easiest way is to amortize the mortgage, as I have done here, and look at the balance at the end of the 5th year.As you can see, the balance will be: $177,711.51. See it here:

http://www.calculator.net/amortization-calculator.html?cloanamount=250000&cloanterm=15&cinterestrate=6.5&printit=0&x=50&y=18

Just copy and paste it in the address bar of your Browser.

P.S. If your teacher does not approve of this, then you have to do it the long way, which is:

1. Find the FV of the $250,000 for 5 years or 60 months @ 6.5%.

2. Find the FV of the 60 monthly payments @6.5%.

3. Subtract 2 from 1 above, which will give you the balance of the mortgage after 5 years or 60 months. If you don't make any mistakes, you should get the above balance of $177,711.51.

My new signature may be 🔱  Or ⚜️

Hey joker ♠️

Thank you very much to both of you.

I just answered some guy's question about how to convert 3.1415 to binary. heureka posted the algorithm. You can check it.

8*8 = 64 * 3.14