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Leni [432]
2 years ago
12

A 4-column table with 4 rows. Column 1 is labeled Service with entries Restaurant, Florist, Cab Fare, Dog Groomer. Column 2 is l

abeled Cost with entries 40 dollars, 94 dollars, 32 dollars, 62 dollars. Column 3 is labeled Gratuity with entries 18 percent, 12 percent, 20 percent, 26 percent. Column 4 is labeled Tax with entries 8.5 percent, 12 percent, 0 percent, 5.75 percent.About how much should the gratuity for the restaurant server be? Round the percent of gratuity to the nearest benchmark percent to find the answer.$
Mathematics
1 answer:
ELEN [110]2 years ago
4 0

Answer:

Step-by-step explanation: A 4-column table with 4 rows. Column 1 is labeled Service with entries Restaurant, Florist, Cab Fare, Dog Groomer. Column 2 is labeled Cost with entries 40 dollars, 94 dollars, 32 dollars, 62 dollars. Column 3 is labeled Gratuity with entries 18 percent, 12 percent, 20 percent, 26 percent. Column 4 is labeled Tax with entries 8.5 percent, 12 percent, 0 percent, 5.75 percent.About how much should the gratuity for the restaurant server be? Round the percent of gratuity to the nearest benchmark percent to find the answer.$

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If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

6 0
2 years ago
Help PLEASE!
pav-90 [236]
It would be equivalent to 18099
5 0
3 years ago
Help Please & thanks!
Travka [436]

Answer:

14 out of the total class of 35 are boys

Step-by-step explanation:

35 / 5 = 7

7 * 2 = 14

3 0
3 years ago
Find the slope between these two points:<br> (4,7).(-6, -4)
Fudgin [204]

Answer:

1.1

Step-by-step explanation:

slope = (-4-7)/(-6-4)= -11/-10 = 1.1

5 0
2 years ago
Keyla traveled 2155 kilometers by car to visit some relatives. If 1 km is approximately 0.62 miles, then what is the number of m
Dmitrij [34]

Answer:

<em>1336miles.</em>

Step-by-step explanation:

From the question we are told that;

1km represents 0.62miles

1km = 0.62miles

We are to express 2155kilometers in miles.

2155km = x miles

Find x:

Divide both equations;

1/2155 = 0.62/x

Cross multiply;

1 * x = 2155 * 0.62

x = 1,336.1miles

<em>Hence the correct option is 1336miles.</em>

4 0
3 years ago
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