Say I buy a violin for $860 and I have to pay 7% sales tax, how much do I pay in all

Mathematics

2 answers:

Natalija [7]3 years ago

6 0

$920.2 in all I believe

Alex_Xolod [135]3 years ago

6 0

$920.20 since the .2 is equal to 20 cents

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What is N in -2n+2(3n+14)=-20

seraphim [82]

Answer:

To solve for n you need to get it by itself

First you want to distribute your 2 through the (3n+14)

-2n+6n+28=-20 (2*3n+2*14= 6n+28)

Now you want to combine any like terms if possible

4n+28=-20 (-2n+6n=4n, both like terms)

Then you want to subtract -28 from both sides

4n=-48 (28-28=0, -20-28=-48)

Lastly you want to divide both sides by 4

n=-12 (4n/4=n, -48/4= -12)

4 0

3 years ago

Using sum or difference formulas, find the exact value of sin(165∘)

Nikitich [7]

$\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})\\\\
-------------------------------\\\\$

$\bf sin(165^o)\implies sin(120^o+45^o)
\\\\\\
sin(120^o)cos(45^o)~+~cos(120^o)sin(45^o)\implies \cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}~+~\cfrac{-1}{2}\cdot \cfrac{\sqrt{2}}{2}
\\\\\\
\cfrac{\sqrt{6}}{4}~-~\cfrac{\sqrt{2}}{4}\implies \cfrac{\sqrt{6}-\sqrt{2}}{4}$

6 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

4vir4ik [10]

I hope this helps you