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Aliun [14]
3 years ago
9

Lisa buys a television for $4185. if the sales tax is $292.95. what percent is sales tax?

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0

Answer:

Sales tax = 7%.

Step-by-step explanation:

Let x be the percent of sales tax.

We have been given that Lisa buys a television for $4185. The sales tax is $292.95.

We need to figure out x such that x percent of 4185 equals to 292.95. Let us represent this information in an equation.

\frac{x}{100}*4185=292.95

Let us multiply both sides of equation by 100.

100*\frac{x}{100}*4185=100*292.95

x*4185=29295

x=\frac{29295}{4185}

x=7

Therefore, sales tax is 7%.

Let us cross check our answer by calculating 7% of 4185.

7\%\text{ of } 4185=\frac{7}{100}\times 4185

7\%\text{ of } 4185=0.07\times 4185

7\%\text{ of } 4185=292.95

We can see that 7% of 4185 is 292.95. Hence, sales tax is 7%.

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What is the coefficient of x2y3 in the expansion of (2x + y)5?
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$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

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