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Yanka [14]
3 years ago
11

Order the following list of numbers from least to greatest

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

The answer is D

29/3 = 9.6 (.6 is repeating)

√94 = 9.69

49/5 = 9.8

9.8 (.8 is repeating)

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The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price
likoan [24]

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

<u>Exponential Function</u>

General form of an exponential function: y=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

<u>Part A</u>

<u>Product A</u>

Assuming the function for Product A is <u>exponential</u>:

f(x) = 0.69(1.03)^x

The base (b) is 1.03.  As b > 1 then it is an <u>increasing function</u>.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, <u>product A is increasing by 3% each year.</u>

<u>Part B</u>

\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%

Check using different two consecutive values of f(t):

\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%

Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

  • a = 10,100
  • b = 1.01
  • n = t - 1 (as the initial value is for t = 1 not t = 0)

\implies f(t) = 10100(1.01)^{t-1}

To check this, substitute the values of t for 1 through 4 into the found function:

\implies f(1) = 10100(1.01)^{1-1}=10100

\implies f(2) = 10100(1.01)^{2-1}=10201

\implies f(3) = 10100(1.01)^{3-1}=10303.01

\implies f(4) = 10100(1.01)^{4-1}=10406.04

As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>

4 0
2 years ago
Pls help<br> Escape Question 2
elixir [45]

Answer:

unlock code is 11

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Step-by-step explanation:

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Serhud [2]

Answer:

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Step-by-step explanation:

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algol [13]

Answer:

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Step-by-step explanation:

It is closer to 1400 than 1300

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Zina [86]

Answer:

Yes, x and y have a proportional relationship.  

Step-by-step explanation:

A proportional relationship means that, when comparing two quanities, that they are both changing at a constant (same) amount.  When looking at a table to compare quantities, you can see that the pounds of tomatoes 'x' is increasing by one (1) each time.  If you look at the amount spent in dollars 'y', you can see that for each pound (x), the cost is increasing by $4.  So, since for every pound of tomatoes that is purchased increases by $4, then their relationship is proportional.  

8 0
3 years ago
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