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never [62]
2 years ago
10

James and Michael are the partners in a local business. They needed $480,000 to start the

Mathematics
2 answers:
larisa [96]2 years ago
7 0

Answer:

James invested $160,000

Step-by-step explanation:

- In total, they needed $480,000 to start the business

- 1:2 ratio means one of them payed double the amount than the other

so the expression would be,

2x + x = 480,000

Let x represent how much they each need to invest

the expression can be simplified to,

3x = 480,000

now you need to get x alone, this would be done be dividing both sides by 3

\frac{3x}{3} = \frac{480,000}{3}\\x = 160,000

James invest $160,000

Michael invest $160,000 x 2 = $320,000

and if you add them together, you get the total amount

$320,000 + $160,000 = $480,000

Let me know if you have any questions !

Minchanka [31]2 years ago
3 0
Can you answer one of my recent questions?
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The slope of a line is constant because the acceleration is equal to zero.

The slope of a line is always just (y2-y1)/(x2-x1), so in this case:

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3 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!!!

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3 years ago
Answer for brainliest!!! :> Three hens can lay 3 eggs in 3 days. How many hens would lay 3 eggs in 9 days?
marta [7]

It would still be the same 3 hens in 9 days.

6 0
2 years ago
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Find the fractional notation for the ratio 5 to 9
vazorg [7]
5:9 is just 5/9
Hope this helps!
5 0
3 years ago
Y=2x+5 and y=3x+11 solve by substitution.
kondaur [170]

Answer:

Answer: x= -6 and y= -7

Step-by-step explanation:

Substitute 2x+5 for y in y=3x+11:

y=3x+11

2x+5=3x+11

2x+5+−3x=3x+11+−3x(Add -3x to both sides)

−x+5=11

−x+5+−5=11+−5(Add -5 to both sides)

−x=6

−x−1=6−1(Divide both sides by -1)

x=−6

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-Source: MathPapa

6 0
3 years ago
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