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maks197457 [2]
3 years ago
5

Lockers are numbered with consecutive positive integers beginning with 1, and the digit 2 is used exactly 106 times (including o

n the last locker). What is the number of the last locker?
Mathematics
1 answer:
navik [9.2K]3 years ago
7 0
522 is the last locker number.
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What is the median of the data
Airida [17]

Answer:

6

Step-by-step explanation:

Line up the numbers from smallest to largest:

2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10

Take away one number from each side until you get to the middle.

Since there is an odd number of numbers there is only one number left and that number is 6. Stay safe and have a wonderful day! Peace! ✌

7 0
3 years ago
Stella invested $6,100 in an account paying an interest rate of 6 1/2%compounded
grandymaker [24]

Answer:

9662.3822

Step-by-step explanation:

4 0
3 years ago
Suppose that you take 120 mg of an antibiotic every 4 hr. The​ half-life of the drug is 4 hr​ (the time it takes for half of the
vodomira [7]

Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Step-by-step explanation:

Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

A₃ = (0.5×210) + 120 = 225 mg

At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

5 0
3 years ago
$140 for 18ft squared=?????
andrew11 [14]
Unit rate means how much does it cost for 1 unit
140 for 18ft^2

divide by 18
140/18=7.77777777777777
so the unit rate is $7.78 per square foot
8 0
3 years ago
Read 2 more answers
Jesse made a model of a mountain range for class. to do this, he bought a cylinder of cardboard and cut it into three cones. eac
aniked [119]
By definition, the volume of the cone is given by:
 V = (1/3) (π) (r ^ 2) (h)
 Substituting values we have:
 V = (1/3) (π) ((4/2) ^ 2) (5)
 V = (20/3) (π)
 Then, the volume of the cylinder is:
 Vc = 3 * V
 Vc = 3 * (20/3) (π)
 Vc = 20π
 Answer:
 
the volume of the original cylinder jesse bought is:
 
Vc = 20π
4 0
3 years ago
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