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valentina_108 [34]
3 years ago
9

Compute the total cost of the meal to the nearest cent: meal costs $29.78 plus 5% tax and 15% tip.

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0
To solve this problem you must apply the proccedure shown below:
 1. You have the following information given in the problem above: <span>$29.78 plus 5% tax and 15% tip. 
 2. Therefore, you have:
 Total=$29.78+(0.05)($29.78)+(0.15)($29.78)
 3. Then, the result is:
 Total=$35.74
 Therefore, as you can see, the answer is the option D, which is: D. $35.74</span>
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In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
1.) What is the maximum number of zeros for the following function<br> f(x) = x - 2x2 - 11x + 12
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A pencil is `120` millimeters long.
leva [86]

Given the length of the pencil, the length of the marker is 130.8 millimeters.

<h3>What are percentages?</h3>

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

<h3>How long is the marker?</h3>

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

To learn more about percentages, please check: brainly.com/question/25764815

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Vikentia [17]
Everyday about 200 people visited the store Because you would divide 2744 by 14 and get 196 and round that to 200 
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leonid [27]

Answer:

the total cost will be $27.00

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