radix

Hallo Anonymous,

100 % + 5 % = 105 % = 105/100 = 1,05    ( Zunahmefaktor !)

175 € * 1,05 =       $${\mathtt{175}}{\mathtt{\,\times\,}}{\mathtt{1.05}} = {\frac{{\mathtt{735}}}{{\mathtt{4}}}} = {\mathtt{183.75}}$$    €  als  neuer Preis.

$${\mathtt{175}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}\% = {\frac{{\mathtt{735}}}{{\mathtt{4}}}} = {\mathtt{183.75}}$$

Der neue Preis beträgt  183,75 €.   Der Zunahmefaktor ist  1,05 .

Gruß radix !

Hallo Anonymous,

hier deine Ableitung:

Gruß radix !

Man schaut im Internet nach:

Hallo asinus, hallo Anonymous,

ich schlage Folgendes vor:   ( genauer Wert:   $${{\mathtt{2}}}^{\left(-{\mathtt{39}}\right)} = {\mathtt{0.000\: \!000\: \!000\: \!001\: \!819}}$$ )

$${\frac{{\mathtt{1}}}{\left({\left({{\mathtt{2}}}^{{\mathtt{13}}}\right)}^{{\mathtt{3}}}\right)}}$$        ;  2^13 = 8192  (im Kopf)  ~ 82*10²

82*82= 6724    =>    *82  =>      551368 *10^ 6  ~ 55*10^10    (schriftlich)

1 : 55 = 0,0181   (schriftlich)    =>    $${{\mathtt{1.8}}}^{\left(-{\mathtt{12}}\right)}$$ 

Ich denke, dieser Wert ist hinreichend genau.

Gruß radix !

Integral   x*sin(w*x) dx

=$${\frac{\left(\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{w}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}{\mathtt{\,-\,}}{\mathtt{w}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{w}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}\right)}{{{\mathtt{w}}}^{{\mathtt{2}}}}}$$

Hilft dir das weiter ?

Gruß radix !

$${\frac{{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{x}}}{{\mathtt{2}}}} = {\mathtt{230}}$$                 beide Seite   *2

5x = 460

x   = 92                     Deine Zahl heißt 92    , denn 92:2 *5 = 230       $${\frac{{\mathtt{92}}{\mathtt{\,\times\,}}{\mathtt{5}}}{{\mathtt{2}}}} = {\mathtt{230}}$$

Gruß radix !

Hallo elxan, hallo asinus,

stimmt die Ausgangsgleichung ? Bitte noch einmal überprüfen.

Damit käme ich auf   $${\mathtt{8}}{\mathtt{\,\times\,}}{{\mathtt{e}}}^{\left({\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{e}}}^{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{{\mathtt{e}}}^{\left({\mathtt{6}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{8}}{\mathtt{\,\times\,}}{{\mathtt{e}}}^{\left({\mathtt{8}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{{\mathtt{e}}}^{\left({\mathtt{11}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)} = -{\mathtt{4}}$$

Und dann nicht weiter !  ( kann mich aber auch verrechnet haben.)

Dank an asinus und Omi, die den richtigen Weg genommen haben !

Gruß radix !

$${\mathtt{\,-\,}}{\frac{{\mathtt{3}}}{{\mathtt{8}}}} = -{\mathtt{0.375}}$$

(-3) : 8  =>  negativer Wert       ;     3 : 8 = 0,375  

  -3 : 8 =  -0,375

Gruß radix !

Falls ich die Frage richtig verstanden habe, ist    $${\mathtt{y}} = {\frac{{\mathtt{x}}}{{\mathtt{3}}}}$$

U(x)= 2*x*pi

U(y) = 2*y*pi = $${\frac{{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{3}}}}$$

U(x) = 3* U(y)     =>    2*x*pi = $${\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{3}}}} = {\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\times\,}}{\mathtt{\pi}}$$

Ich bin auf die richtige Lösung gespannt ! Denn diese "Lösung" wäre zu einfach.

Gruß radix !

1.)    $${\mathtt{399}}{\mathtt{\,-\,}}{\mathtt{12}}\% = {\frac{{\mathtt{8\,778}}}{{\mathtt{25}}}} = {\mathtt{351.12}}$$

2.)     100% - 12% = 88% = 0,88      =>    $${\mathtt{399}}{\mathtt{\,\times\,}}{\mathtt{0.88}} = {\frac{{\mathtt{8\,778}}}{{\mathtt{25}}}} = {\mathtt{351.12}}$$

3.)        12%   von 399 € = 399*12/100 €  =  $${\frac{{\mathtt{399}}{\mathtt{\,\times\,}}{\mathtt{12}}}{{\mathtt{100}}}} = {\frac{{\mathtt{1\,197}}}{{\mathtt{25}}}} = {\mathtt{47.88}}$$ €

            399 € - 47,88 €     =>   $${\mathtt{399}}{\mathtt{\,-\,}}{\mathtt{47.88}} = {\frac{{\mathtt{8\,778}}}{{\mathtt{25}}}} = {\mathtt{351.12}}$$ €

Antwort:    399 € - 12% = 351,12 €

Gruß radix !