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aniked [119]
3 years ago
10

Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B cos

ts $28 per month for unlimited usage. Please help me. Show all steps
Mathematics
1 answer:
MrRissso [65]3 years ago
5 0

Answer:

I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28

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Jane corporation produces model toy cars each sells for $29 99 sense its variable cost per unit is $14 25 sense what is the brea
n200080 [17]

Answer:

Break-even point in units= 20,000

Step-by-step explanation:

Giving the following information:

Selling price per unit= $29.99

Unitary variable cost= $14.25

Fixed costs= $314,800

<u>To calculate the break-even point in units, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 314,800 / (29.99 - 14.25)

Break-even point in units= 20,000

5 0
3 years ago
A type of organism's cells split every minute. If the organism has 4 cells when the cells begin to split, how many cells will th
snow_lady [41]

Answer:

The total of cells will the organism have after 6 minutes is 252

Step-by-step explanation:

* Lets consider this problem as a geometric series

- There is a constant ratio between each two consecutive numbers

Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric series:

∵ U1 = a  ,  U2  = ar  ,  U3  = ar^2  ,  U4 = ar^3  ,  U5 = ar^4

∴ Un = ar^n-1

- Where r is the ratio between each two consecutive terms and

 n is the position of the number in the series

* The sum of first n terms of a Geometric Progression is calculate from

 Sn = a(1 - r^n)/1 - r  

- In the problem the cell split every minute

- The organism has 4 cells when the cells begin to split

∴ a = 4

# 4 , 8 , 16 , 32 , .......

∴ r = 2

- The total of cells will the organism have after 6 minutes can

  calculate from the rule of the sum

∴ S6 = 4(1 - 2^6)/1 - 2 = 4(1 - 64)/-1 = 4(-63)/-1 = 252 cells

4 0
3 years ago
Ml
Tanya [424]

Answer:

<em>The gold vein is  96 miles away from the farthest gold dust strike.</em>

Step-by-step explanation:

<u>Distance Between two Points in the Plane </u>

Given two points A(x,y) and B(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

The prospector positioned the gold vein at  (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:

d=\sqrt{(9-9)^2+(94-(-2))^2}

d=\sqrt{0^2+96^2}

d=\sqrt{96^2}=96

The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.

8 0
2 years ago
-Quiz-<br> Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?
vodka [1.7K]

Answer:

(x - 9)2 Step-by-step explanation:

7 0
3 years ago
A swimming pool in the shape of a rectangular prism is 10 feet long, 20 feet wide, and 5 feet deep. How much water could the swi
sasho [114]

Answer:

1,000 units^3 of water

Step-by-step explanation:

20•10•5 =1,000

8 0
3 years ago
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