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Sunny_sXe [5.5K]
3 years ago
6

A boat that sold for $12,500 had a sales tax of $562.50. How much is the tax on a boat that sells for $9,550?

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

$429.75

Step-by-step explanation:

First, find the tax rate on the sale of the boat:  Let r represent that rate.  Then,

$12,500r = $562.50.  Solving for r, we get r = $562.50 / $12,500 = 0.045

The tax rate is 0.045, or 4.5%.

Applying this tax rate to a boat selling for $9,550:

0.045($9,550) = $429.75.  This is the amount of tax on the 2nd boat.

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Factor the gcf out of the expression: -6x^3 - 9xy + 18x
Westkost [7]

Answer:

-207xy

Step-by-step explanation:

-6x^3 - 9xy + 18x

-216x -9xy +18x

-225xy + 18x

-207xy

If I'm not mistaken.

6 0
3 years ago
Work out an expression, in terms of x, for the perimeter of the shape.<br> Simplify your answer.
sammy [17]

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

7 0
3 years ago
Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles
777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A:  Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0
4 years ago
Find the solution to the equations. Will Mark Brainliest
vova2212 [387]

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = - 3 → (1)

x + y = 0 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

3x = - 3 ( divide both sides by 3 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

- 1 + y = 0 ( add 1 to both sides )

y = 1

Solution is (- 1, 1 )

7 0
3 years ago
Read 2 more answers
he mean age of bus drivers in Chicago is greater than 54.4 years. If a hypothesis test is performed, how should you interpret a
Natalka [10]

Answer:

There is not sufficient evidence to support the claim μ > 54.4.

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is \mu>54.4 and the system of hypothesi on this case are:

Null Hypothesis: \mu \leq 54.4

Alternative hypothesis:\mu >54.4

On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided.  So the correct conclusion would be:

There is not sufficient evidence to support the claim μ > 54.4.

8 0
3 years ago
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