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stepladder [879]
3 years ago
12

You are the owner of a toy store and repairing to make a donation to a local children's hospital you must prepare 320 teddy bear

s to include in your donation your associate can prepare a teddy bears an hour and use 3/4 yards of ribbon in doing so she needs you to buy the ribbon but the craft store only sells ribbon in feet how many feet of ribbon are needed
Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Answer:

2 feet and 3 inches

Step-by-step explanation:

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If log2 5 = a, log2 3 = b and log2 7 = c, determine an expression for log2 (25/21) in terms of a, b, and c
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Answer:

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Step-by-step explanation: We know that:

log_{2} 5 = a\\log_{2} 3 = b\\log_2 7 = c\\

and we want:

log_2 \frac{25}{21}.

We can form the numerator using just the first fact (since 5^2 is 25) and the denominator using the latter two (since 3*7 = 21).

log_2 \frac{25}{21} = log_2 \frac{5^2}{3*7}.

The logarithm of a division can be expanded by subtracting the numerator and denominator (while still keeping the log). The logarithm of a product can be expanded by adding the terms while keeping the log. If the logarithm is raised to a power, we can bring it down as a factor:

log_2 \frac{5^2}{3*7} = log_2(5)^2 - log_2 (3*7) = 2 log_2(5) - (log_2 3 + log_2 7)

= 2 log_2(5) - log_2 3 - log_2 7 .

Substituting the variables:

2 log_2(5) - log_2 3 - log_2 7 = 2a - b - c

8 0
3 years ago
The amount of money in a savings account after t years is represented by the function f(t)=500(1.015)t.
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\bf \qquad \textit{Amount for Exponential Growth}\\\\
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t=\textit{elapsed time}\\
\end{cases}
\\\\\\
f(t)=\stackrel{\stackrel{I}{\downarrow }}{500}(1.015)^t
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Given:
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Discounted price
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