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sertanlavr [38]
3 years ago
6

Hannah has $482.75 in her savings account. She would like her account balance to be more than $1,250 before she buys a cell phon

e. Hannah plans to save $85.25 a month. How many months will it be until she can buy a cell phone
Mathematics
1 answer:
castortr0y [4]3 years ago
3 0
It's an arithmetic progression with 1st term a =482.75 & common difference

d=85.25

Value of term ranked n; a(n) = a₁ + (n-1)d

1250 = 482.75 + (n-1)(85.25)

solve for n, and you will find n= 10 (months)
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Jonathan works at a garden center. He earns $550 per month, plus an addtional $3 for each plant that he sells. Jonathan hopes to
Wewaii [24]

Answer:

550 + 3x > 1000, where x > 150

The quantities true for x are: x must be greater than 150

Step-by-step explanation:

The question claims he wants to earn OVER 1,000 that month. He already makes $550 and $3 PER PLANT he sells. Subtract $550 from $1000 and you would get 450. Then divide by 3. That makes 150 plants. So now we know the x needs to be GREATER THAN 150 plants to make over 1,000. The x would also go next to the 3 because the 3 represents how much per plant sold, and the 150 represents how many plants. The equation would be $550 + 3x > 1000, where x > 150.

4 0
3 years ago
An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem
hichkok12 [17]

Answer:

z (min)  = 705

x₁  = 10

x₂  = 9

Step-by-step explanation:

Let´s call  x₁  quantity of food I ( in ou )  and x₂ quantity of food II ( in ou)

          units of vit. C   units of vit.E   Cholesterol by ou

x₁                 32                      9                         48

x₂                16                      18                          25

Objective function z

z  =   48*x₁   +  25*x₂        To minimize

Subject to:

1.-Total units of vit. C at least  464

32*x₁   +  16*x₂     ≥   464

2.- Total units of vit. E at least  252

9*x₁  + 18*x₂   ≥  252

3.- Quantity of ou per day

x₁   +   x₂   ≤  35

General constraints    x₁  ≥ 0    x₂   ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min)  = 705

x₁  = 10

x₂  = 9

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

x = 129

Step-by-step explanation:

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a bag contains 6 red 4 blue and 8 green marbles how many of each color should be added so that the total number of marbles is 27
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