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iVinArrow [24]
3 years ago
15

A music club membership costs $15 to start and $8 per cd. Write an equation.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

y = 8x + 15

Step-by-step explanation:

Let x represent the number of cds, and let y represent the total cost.

Since each cd is $8, we can represent the extra cost from cds with the term 8x.

And, since the membership costs $15, this cost can be represented in the equation by +15.

Put these together:

y = 8x + 15 will be the equation representing this

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Miguel deposits $2000 into a bank account that earns simple interest. He writes the expression 2000 + 2000(0.015)(t/12) to repre
oee [108]

Answer:

based on the equation he would make $2.5 in the first month but realistically he would earn around $30 in the first month

Step-by-step explanation:

2000+2000(.015)(1/12)=2002.5

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3 years ago
Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
Kazeer [188]

Answer:  2.66 × 10⁻¹³

<u>Step-by-step explanation:</u>

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
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A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

5 0
3 years ago
Chloe works for an estate agent.
Lunna [17]

Answer:

£24,980

Step-by-step explanation:

total pay = monthly salary + percent of annual profit + £250 bonus

monthly salary = £1,850

annual salary = 12 × £1,850 = £22,200

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agency costs = £280,000

annual profit = income - costs = £356,000 - £280,000 = £76,000

percent of annual profit = 3% × £76,000 = 0.03 × £76,000 = £2,280

£250 bonus = 2 × £250 = £500

total pay = monthly salary + percent of annual profit + £250 bonus

total pay = £22,200 + £2,280 + £500

total pay = £24,980

7 0
2 years ago
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