We have been given that Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.9% sales tax, and the city charges a 2.2% sales tax.

We are asked to find the total tax, if Mr Luis sells his home for $122,500.

To find total tax, we will add all tax rates as they are being applied to same base.

$\text{Total of tax rates}=3.5\%+3.9\%+2.2\%$

$\text{Total of tax rates}=9.6\%$

Now we will find 9.6% of $122,500 to find total tax bill.

$\text{Total tax bill}=\$122,500\times \frac{9.6}{100}$

$\text{Total tax bill}=\$1225\times 9.6$

$\text{Total tax bill}=\$11,760$

Therefore, the total tax bill of Mr. Luis would be $\$11,760$ .

5 0

2 years ago

Solve the triangle A = 2 B = 9 C =8

VARVARA [1.3K]

Answer:

$\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}$

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

$\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}$

Then, given the sides a=2, b=9, and c=8.

$\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}$

For B:

$\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}$ $\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}$

3 0

1 year ago

What is the value of this expression<br> 8 + 6x (10 - 4) +2

Vinvika [58]

Answer:

$8+6x(10-4)+2\\= 10 - 4\\= 6 + 2\\= 8 * (8 + 6x)\\ = 8 + 6x\\= 14x * 6\\= 84x\\$

Step-by-step explanation:

hope this helps.

4 0

2 years ago

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