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Citrus2011 [14]
3 years ago
5

$43 dinner; 18% gratuity

Mathematics
2 answers:
Orlov [11]3 years ago
6 0
You multiply 43/1 by 118/100, as this is a percent proportion. once done multiplying, you should get 50.74. this is the total cost after the gratuity is added
anastassius [24]3 years ago
5 0

Answer:

$50.74.

Step-by-step explanation:

We are asked to find the total cost of dinner, when gratuity is 18%.

The total cost of the dinner would be $43 plus 18% of $43.

\text{The total cost of the dinner}=\$43+\frac{18}{100}\times \$43

\text{The total cost of the dinner}=\$43+0.18\times \$43

\text{The total cost of the dinner}=\$43+\$7.74

\text{The total cost of the dinner}=\$50.74

Therefore, the total cost of dinner is $50.74.

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3 years ago
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Robin used 1/4 of a pound of butter to make a cake. Before she started, she had 7/8 of a pound of butter. How much butter did Ro
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4 years ago
Suppose that poaching reduces the population of an endangered animal by
Sedbober [7]

Answer:

38.26 years.

Step-by-step explanation:  

We have been given that the population of an endangered animal by  reduces 8​% per year. the current population of the animal is  1700. When the population of this animal falls below  70​, its extinction is inevitable.  

Let us write the model for population of this animal (y) after x years.

Since we know that an exponential decay function is in form: y=a*(1-r)^x, where,

a= Initial value.

r = Rate in decimal form.

Let us convert our given rate in decimal form.

8\%=\frac{8}{100}=0.08

Upon substituting a= 1700 and r = 0.08 in exponential function, we will get the model of animal population as:

y=1700*(1-0.08)^x

y=1700*(0.92)^x

Let us find, when the animal population will face extinction by substituting y=70 in our function.

70=1700*(0.92)^x  

\frac{70}{1700}=\frac{1700*(0.92)^x}{1700}

0.0411764705882353=0.92^x  

Let us take natural log of both sides of our equation.

ln(0.0411764705882353)=ln(0.92^x)

ln(0.0411764705882353)=x*ln(0.92)

-3.1898882879949483163=x*-0.0833816089390511

x=\frac{-3.1898882879949483163}{-0.0833816089390511}

x=38.2564971890460849445284\approx 38.26

Therefore, the population of the animal will face extinction after 38.26 years.

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4 years ago
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