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Mumz [18]
2 years ago
11

Roger’s brother gave Roger his collection of coins when he left for college. At that time, the value of the collection was $720.

Twelve years later, the collection was worth $1080. What is the rate of change? Don't forget your units.
Mathematics
1 answer:
jenyasd209 [6]2 years ago
7 0

Answer:

A: The rate of change is 10% per year.

Step-by-step explanation:

The rate of change is simply the change in value divided by the change in time. In this case, the change in value is $1080 - $720 = $360, and the change in time is 12 years. Therefore, the rate of change is $360 / 12 years = $30 per year.

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Here our first step is covert all weights to the same scale.

We have each tablet as 500 mg

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1 Kg =10^6 milligrams or 1,000,000 milligrams

1 Kg = 1,000,000 mg

Therefore, 50 Kg = 50 * 1,000,000 = 50,000,000 mg

Since each tablet contains 500 mg,

The number of tablets the company  can make out of this batch = 50,000,000/500 = 100,000 tables

The number of tablets the company  can make out of this batch = 100,000 tablets

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3 years ago
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7 0
3 years ago
Read 2 more answers
In a poll of 745 randomly selected adults, 591 said that it is morally wrong to not report all income on tax returns. Use a 0.01
Marianna [84]

Answer:

The calculated value Z = 2.734 > 2.576 at 0.01 level of significance

Null hypothesis is rejected

The claim that 75% of adults say that it is morally wrong to report all income on tax returns.

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given random sample size 'n' = 745

Given In a poll of 745 randomly selected adults, 591 said that it is morally wrong to not report all income on tax returns

sample proportion

   p^{-}  = \frac{x}{n} = \frac{591}{745} = 0.7932

Given Population proportion P = 0.75

                                           Q = 1-P

                                          Q = 1 - 0.75 = 0.25

Null Hypothesis :H₀: P=0.75

Alternative Hypothesis :H₁:P≠ 0.75

<u><em>Step(ii):-</em></u>

<em>Test statistic</em>

                          Z = \frac{p^{-}-P }{\sqrt{\frac{P Q}{n} } }

                          Z = \frac{0.7932-0.75 }{\sqrt{\frac{0.75 X 0.25}{745} } }

                          Z  = 2.734

Level of significance ∝ = 0.01

The critical value Z =2.576

The calculated value Z = 2.734 > 2.576 at 0.01 level of significance

Null hypothesis is rejected

The claim that 75% of adults say that it is morally wrong to report all income on tax returns.

                       

                         

4 0
4 years ago
Anthony and Michelle have £65.25 between them. Anthony's amount is two thirds of Michelle's amount. How much money does each hav
pogonyaev

Answer:

43.50

Step-by-step explanation:

MULTIPLE THE 2 NUMBERS

7 0
3 years ago
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