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MAVERICK [17]
2 years ago
10

Suzanne will use orange and blue beads to make bracelets. She will use the same number of orange beads on each bracelet and the

same number of blue beads on each bracelet. She has 72 orange beads and 78 blue beads. What is the greatest number of bracelets that she can make that will have the greatest number of orange beads and blue beads? Explain how you know.
Mathematics
1 answer:
77julia77 [94]2 years ago
3 0

Answer:

She can make 6 bracelets using 12 orange beads and 13 blue beads.

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In 2000, the population of Massachusetts
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The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

f(x) = 6.3*(1.0032)^{x}

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

f(x) = 6.3*(1.0032)^{x}

7 = 6.3*(1.0032)^{x}

(1.0032)^{x} = \frac{7}{6.3}

(1.0032)^{x} = 1.11

We have to following logarithm rule

\log{a^{x}} = x\log{a}

So we apply log to both sides of the equality

\log{(1.0032)^{x}} = \log{1.11}

x\log{1.0032} = \log{1.11}

x = \frac{\log{1.11}}{\log{1.0032}}

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The population reaches 7 million people in the year 2032.

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