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charle [14.2K]
3 years ago
14

You plant a tree that is 42 inches tall. After one year, the tree is 47 inches tall. Which expression describes the percent incr

ease of the tree's height?
Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0
This is how you would set it up

 42         47
-----       -----
100         x
Then, cross multiply. You should get this:
42x = 4700

Then, solve that problem
42x = 4700
-----    -------
42         42

x = 111 < (the answer turns out as a decimal but you should take the whole number)

Then subtract 111 and 100
111 - 100 = 11

Answer - 11%

Hope this helps!
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What is the semiannual interest payments of a 30 year bond with a face value of $50 million and a stated annual interest rate of
Snowcat [4.5K]

Based on the stated annual interest rate and the face value of the bond, the semiannual payments will be $1,000,000.

<h3>How can the semiannual interest payment be found?</h3>

The formula to find the semiannual payment is:

= (Face value x Stated annual interest rate) / 2 semi-annual periods per year

Solving gives:

= (50,000,000 x 4%) / 2

= 2,000,000 / 2

= $1,000,000

Find out more on bond payments at brainly.com/question/22488444.

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8 0
1 year ago
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3 years ago
X^2- 2x - 54 = 0<br><br><br><br> I need the answer for this please
Kay [80]

x = -6, 8

Find the values of x by factoring, getting

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5 0
2 years ago
Read 2 more answers
Four friends are on a basketball team. During a game, each friend kept track of how many shots they attempted and how many of th
GarryVolchara [31]

Answer:

Henry has a best record for the number of shots made.

Step-by-step explanation:

It is provided that Henry made 0.45 or 45% of his shots.

And Trevor missed 58% of his shots, i.e. Trevor made 42% of his shots.

There is no information about Allison's and Arthur's probability of making the shot.

So, only based upon Henry and Trevor, it can be seen clearly that Henry has a best record for the number of shots made.

5 0
3 years ago
Integrate <img src="https://tex.z-dn.net/?f=e%5E%7B4x%7D%5Csqrt%7B1%2Be%5E%7B2x%7D%20%7D%20dx" id="TexFormula1" title="e^{4x}\sq
AnnyKZ [126]

Answer:

(\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C

Step-by-step explanation:

<u><em> Step(i):-</em></u>

Given that the function

                    f(x) = e^{4x} \sqrt{1+e^{2x} }

Now integrating on both sides, we get

                 \int\limits{f(x)} \, dx = \int\limits{e^{4x} \sqrt{1+e^{2x} } dx

                               =    \int\limits{e^{2x} e^{2x} \sqrt{1+e^{2x} } dx

                         

<u><em>Step(ii):-</em></u>

  Let  1 + e^{2x}  = t

           e^{2x}  = t -1  

          2e^{2x}dx = d t

          e^{2x}dx = \frac{1}{2} d t

                = \int\limits{( \sqrt{1+e^{2x} }) e^{2x} e^{2x} dx

                  = \int\limits {\sqrt{t}(t-1)\frac{1}{2} dt }

                 = \frac{1}{2} \int\limits {\sqrt{t} (t) -\sqrt{t} ) dt }

                = \frac{1}{2} \int\limits {(t^{\frac{1}{2}  } t^{1} +t^{\frac{1}{2} } ) } \, dx

                = \frac{1}{2} \int\limits {(t^{\frac{3}{2}  } +t^{\frac{1}{2} } ) } \, dx

               = \frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{3}{2}+1 } + \frac{t^{\frac{1}{2} +1} }{\frac{1}{2}+1 } )+C

              =  \frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{5}{2} } + \frac{t^{\frac{1}{2} +1} }{\frac{3}{2} } )+C

             = \frac{1}{2} (\frac{t^{\frac{5}{2} } }{\frac{5}{2} } + \frac{t^{\frac{3}{2} } }{\frac{3}{2} } )+C

            = (\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C

<u><em>Final answer:-</em></u>

= (\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C

             

3 0
3 years ago
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