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agasfer [191]
3 years ago
12

1. A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement.

Mathematics
2 answers:
Korvikt [17]3 years ago
6 0
The probability is 3/7 for the red and 4/7 for blue
Yakvenalex [24]3 years ago
3 0
1. 3/7
2. 4/7
3. 4 in 52 or 1 in 13.
4. I don't know sorry
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A building is acquired on January 1,at a cost of 930,000 with estimated useful life of 8 years and salvage value of 73,700
shutvik [7]

Answer:

Year 1 = $196,000

Year 2= $156,800

Year 3= $125,440

Step-by-step explanation:

$980,000 x 20 % = $196,000

Net book value

$980,000 - $196,000 = $784,000 (to be used as base for year 2)

Year 2

$784,000 x 20% = $156,800

Net book value

$784,000 - 156,800 = $627,200

Year 3

$627,200 x 20% = $125,440

Net book value

$627,200 - $125,440 = $501,760

*Salvage value is ignored in computing the yearly depreciation expense under double-declining-balance method. The reason of it is that, it will take longer to depreciate an asset compare to it’s useful life if we deduct salvage value from original cost in depreciating an asset.

3 0
3 years ago
6.11 - 1.2<br><br><br> 7<br><br><br> 5<br><br> 5<br><br> 6<br> 6
Alex777 [14]

Answer:

4.91 hope this helps :D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee w
stellarik [79]

Answer:

2664

Step-by-step explanation:

9.25×36+(380÷20)×8

3 0
3 years ago
Surface area of cylinder
Vlad1618 [11]

Answer:

75.40 cm²

Step-by-step explanation:

SA = 2πrh + 2πr²

SA = 2π(2)(4) + 2π(2)²

SA = 50.27 + 25.13

SA = 75.40 cm²

3 0
3 years ago
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