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3 years ago

What is 2 1/2 /1/3 ?

Mathematics

1 answer:

DanielleElmas [232]3 years ago

5 0

Answer:

15/2

Step-by-step explanation:

My interpretation of your math expression is "2 1/2 divided by 1/3."

I prefer to write this as:

5 1

----- ÷ -----

2 3

which is equivalent to:

5 3

----- * ----- = 15/2

2 1

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A four-door sedan costs$35000 with a residual value of $2000. Its service life is five years. Using the declining balance method

larisa [96]

Answer:

At the end of the 2 year, the book value of the truck is $12,600

Step-by-step explanation:

we know that

<u><em>Double declining balance method</em></u> is a form of an accelerated depreciation method in which the asset value is depreciated at twice the rate it is done in the straight-line method.

Step 1

Determine the straight-line depreciation rate

Divide the total cost by the number of years in the asset's useful life.

$\frac{\$35,000}{5}=\$7,000$

Step 2

Then, multiply that number by 2 and that is your Double-Declining Depreciation Rate

$7,000(2)=\$14,000$ -----> is the depreciation for Year 1

Step 3

At the end of the first year, the book value of the truck is

$\$35,000-\$14,000=\$21,000$

Step 4

For Year 2, we will apply the same formula to the book value of the truck by the end of Year 1

$\frac{\$21,000}{5}=\$4,200$

$4,200(2)=\$8,400$ -----> is the depreciation for Year 2

therefore

At the end of the 2 year, the book value of the truck is

$\$21,000-\$8,400=\$12,600$

3 0

3 years ago

Match each quadratic equation with its solution set.

Marianna [84]

Answer:

( 8 , - 8) => x² - 55 = 9

( 4 , - 4) => 2x² - 32 = 0

(5 , - 5) => 4x² - 100 = 0

(11 , - 11) => x² - 140 = -19

( 3, - 3) => 2x² - 18 = 0

Step-by-step explanation:

$2x^2 - 32 = 0\\\\2(x^2 - 16 ) = 0 \\\\x^2 - 16 = 0 \\\\x^2 = 16 \\\\x = \sqrt {16 } = \pm 4$

x = ( 4 , - 4)

$4x^2 - 100 = 0 \\\\4(x^2 - 25 ) = 0\\\\x^2 - 25 = 0 \\\\x^2 = 25 \\\\x= \sqrt{25} = \pm 5$

x = ( 5 , - 5 )

$x^2 - 55 = 9 \\\\x^2 = 9 +55\\\\x^2 = 64\\\\x = \sqrt{64} = \pm 8$

x= ( 8 , - 8)

$x^2 - 140 = - 19\\\\x^2 = -19 + 140 \\\\x^2 = 121 \\\\x= \sqrt{121} = \pm 11$

x = ( 11 , -11)

$2x^2 - 18 = 0\\\\2(x^2 - 9) = 0\\\\x^2- 9 = 0 \\\\x^2 = 9 \\\\x = \sqrt9 = \pm 3$

x = ( 3 , - 3)

8 0

3 years ago

Read 2 more answers

What is the distance of segment BF (look closely...it isn't drawn)?

Vlad [161]

The distance of BF is 7.07

4 0

3 years ago

Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have

serg [7]

Answer:

On average, customer spends approximately 98 min at Little’s Law Firm

Step-by-step explanation:

Given the data in the question;

Arrival rate λ = 6 per 8 hours = 6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute

Service rate δ = 1 / 50 min = 0.02 per minute

Standard deviation σ = 20 min

Now,

Utilization rate U = Arrival rate / Service rate

U = 0.0125 / 0.02

Utilization rate = 0.625

Number of people in Queue will be;

⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )

we substitute

⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )

⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )

⇒ 0.453125 / 0.75

Number of people in Queue = 0.6042

Now

Wait in the Queue = Number of people in Queue / λ

= 0.6042 / 0.0125 = 48.336

Wait Time in Office = Wait in the Queue + ( 1 / δ )

= 48.336 + ( 1 / 0.02 )

= 48.336 + 50

Wait Time in Office = 98.336 ≈ 98 min

Therefore, On average, customer spends approximately 98 min at Little’s Law Firm

3 0

3 years ago

RACE A city hosts a race annually. They decide to place a

Tju [1.3M]

Answer:

Step-by-step explanation:

M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.

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3 years ago