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3 years ago

6

Consider the set of whole numbers from 1 to 10, inclusive.

2 answers:

REY [17]3 years ago

5 0

Answer:

2

Step-by-step explanation:

1 is a prime number, so we cannot use it. 3 is the only odd number less than four. 2 is the only even number LESS than four. $ would be included if it was to ask for anything less than four including four. Aside from that, the only number within the range provided that meets all requirements is 2.

RSB [31]3 years ago

5 0

Answer:2

Step-by-step explanation:

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2 years ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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Answer:

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Step-by-step explanation:

$6.68 x 3 = $20.04

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