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marusya05 [52]
2 years ago
9

Adelaide paid $35 for a manicure and gave the manicurist a 20% tip How much money did Adelaide give her manicurist

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
4 0

Answer:

Adelaide gave $ 42 to the manicurist.

Step-by-step explanation:

Here, the original price of the manicure = $ 35

Since, 20% tip is given to manicurist,

Thus, the total payment for manicure = Original price of the manicure + 20 % of the original price of the manicure

= 35 + 20 % of 35

=35+\frac{20\times 35}{100}

=35+\frac{700}{100}

=35+7

=42

Hence, Adelaide gave $ 42 to the manicurist.

seropon [69]2 years ago
3 0
<span><u><em>The correct answer is:</em></u>
$42.

<u><em>Explanation:</em></u>
The best way to find a total bill including tip (or tax if that is what you are looking for - it is found the same way), is to multiply the original total by 1 + the percentage of the tip.

Since the percentage is 20%, we add 0.20 to 1 to get 1.20.
Now we multiply that by the original cost to get the final answer.
1.20*35 = 42</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.

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3 years ago
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Answer:

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Step-by-step explanation:

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A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
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Answer:

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