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laila [671]
3 years ago
12

A TV has a listed price of $579.98 before tax. If the sales tax rate is 9.75% , find the total cost of the TV with sales tax inc

luded.
Round your answer to the nearest cent, as necessary.
​
Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

$636.53

Step-by-step explanation:

Tax: 9.75/100 × 579.98

= 56.54805

Total cost = 579.98 + tax

= 636.52805

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Prove algebraically that r = 10/2+2sinTheta is a parabola
Xelga [282]

Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
946 x 1/3<br>Please help!!​
Ede4ka [16]

Answer:

Sure! Your answer is about 315.33.

Step-by-step explanation:

If you want to figure this out by yourself, just open a calculator and do 946 * 0.33. You could also find this by dividing 946 by 3.

<em>Please</em><em> like</em><em> and</em><em> mark</em><em> brainliest</em><em>!</em>

<em>Hope</em><em> it</em><em> helps</em><em>!</em>

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3 years ago
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saveliy_v [14]

Answer:

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5 0
3 years ago
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A skateboard ramp at the skate park is in the shape of a triangular prism. What is the lateral surface area of the ramp? (SA = P
rodikova [14]

Answer:

Step-by-step explanation: i dont know

3 0
4 years ago
The butter distributor charges $4.50 per pound, but there is a handling fee of $8.50 per order. Free shipping for orders between
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Answer:

14.00

Step-by-step explanation:

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