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2 years ago

A firkin is an old British unit of volume equal to 9 gallons. How many cubic meters are there in 6.00 firkins?

Mathematics

1 answer:

Rainbow [258]2 years ago

7 0

Answer:

0.245489 cubic meters.

Step-by-step explanation:

It is given that a firkin is an old British unit of volume equal to 9 gallons.

1 firkin = 9 gallons

6 firkins = 54 gallons

We need convert 6.00 firkins to cubic meters.

We know that,

1 gallon = 0.00454609 cubic meters

54 gallon = 0.24548886 cubic meters

6 firkins = 0.245489 cubic meters.

Therefore, 6.00 firkins is equivalent to 0.245489 cubic meters.

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Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the

antoniya [11.8K]

Answer:

(a)

Original price for the Car Rhianna buy = $14,390.

Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is, $13,390-$1500=$11,890

Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958

∴ $M=$11,890\cdot \frac{21.958}{1000}$

On solving we get, M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount= $(\$261.082\cdot 48)-11,890$

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment= $(261.082\cdot 48)+$1500$ =$12531.936+$1500=$14,031.936

(e)

∵ Rhianna is 22 years female :

From the given Data in the picture:

Rating factor= 1.2

Liability insurance 50/100/25 , Bodily injury 50/100

Premium= $310 and Property damage 25 : Premium $175

Collision insurance=$500 deductible: Premium $148

Comprehensive insurance= $500 deductible : Premium $85

Her total annual premium $= 1.2\cdot (\$310+\$175+\$148+\$85) = \$861.60$

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2 years ago

The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

pogonyaev

Answer: The quadrilateral HIJK is a parallelogram.

Explanation:

It is given that the coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

The parallelogram diagonal theorem states that the quadrilateral is a parallelogram if both diagonal bisects each other.

If HIJK is a quadrilateral, then HJ and IK are the diagonals of HIJK.

First we find the midpoint of HJ.

$\text{Midpoint of HJ}=(\frac{0+4}{2}, \frac{5-1}{2})$

$\text{Midpoint of HJ}=(2,2)$

Now, find the midpoint of IK.

$\text{Midpoint of IK}=(\frac{3+1}{2}, \frac{3+1}{2})$

$\text{Midpoint of IK}=(2,2)$

The midpoint of both diagonal are same. It means the diagonals of HIJK bisects each other.

By parallelogram diagonal theorem, we can say that the quadrilateral HIJK is a parallelogram.

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2 years ago

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Which multiplication equation can be used to explain the solution to 15 divided by 1/3

Anastaziya [24]

Answer:Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.

Step-by-step explanation:

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Roberto's toy car travels at 30 centimeters per second (cm/sec) at high speed and 20 cm/sec at low speed. If the car travels for

igomit [66]

Answer:

1200 cm

Step-by-step explanation:

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2 years ago

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We want to evaluate dog owners’ reactions to a new dog food product formulation that contains more vegetables. A promotional boo

Arada [10]

Answer:

Inherently asymmetrical casual relationship.

Step-by-step explanation:

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