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Likurg_2
19 days ago
13

A rare coin appreciates at a rate of 5.2% a year. If the initial value of the coin is $500, after how many years will its

Mathematics
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The table lists the results from a survey (of questionable accuracy) of adults and how much they spend on a night out.
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Create a graph with age on the x-axis and money spent on a night out on the y-axis. Plot the ordered pairs as a scatter plot. After placing all points, state the relationship, for example: "the older someone is, the less money they spend on a night out," ensuring the description matches the plotted data. (:
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3 months ago
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When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to
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Kim's business earns $10,000 per month. Kim's non-employee expenses are $3,000 per month. If Kim wants $2,000 in profit per mont
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Response:

The monthly income of Kim's business is $10,000.

Every month, Kim spends $3,000 on non-employee costs.

To achieve a monthly profit of $2,000, the highest possible expenditure for employees is calculated as follows:

10000 - 3000 - 2000 = 5000

With the cost of each employee being $1,000 a month, Kim can hire a maximum of 5000/1000 = 5 employees.

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3 months ago
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A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat
Inessa [12570]
To derive the function that characterizes the bee population:

1) Initially, there are 9,000 bees in the first year.

2) In the second year, a reduction of 5% occurs => 9,000 - 0.05 * 9,000 = 9,000 * (1 - 0.05) = 9,000 * 0.95

3) Each subsequent year sees a 5% decline => 9,000 * (0.95)^(number of years)

4) Let x represent years and f(x) signify the bee count, then: f(x) = 9,000 (0.95)^x.

Evaluation of the claims:

<span>1) The function f(x) = 9,000(1.05)x applies to the scenario.

FALSE: WE ESTABLISHED IT AS f(x) = 9,000 (0.95)^x

2) The function f(x) = 9,000(0.95)x applies to the scenario.

TRUE: THIS IS THE RESULT OF OUR PRIOR ANALYSIS.

3) After 2 years, the farmer projects approximately 8,120 bees will be left.

Calculating:

f(2) = 9,000 * (0.95)^2 = 9,000 * 0.9025 = 8,122

Thus, this statement is TRUE

4) After 4 years, the farmer can predict there will be roughly 1,800 bees left.

f(4) = 9,000 * (0.95)^4 = 9,000 * 0.81450625 = 7,330

This statement is therefore FALSE

5) The domain values contextual to this situation are restricted to whole numbers.

FALSE: DOMAIN VALUES INCLUDE ALL NON-NEGATIVE REAL NUMBERS. FOR INSTANCE, THE FUNCTION IS VALID AT X = 5.5

6) The range values pertinent to this situation are restricted to whole numbers.

TRUE: FRACTIONS OF BEES CANNOT EXIST.
</span>
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3 months ago
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