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2 years ago

15

The bill for a group of eight people at a restaurant came to $196. Because they are a large party, the restaurant also adds an 1

8% tip on top of this. If they decide to equally split the bill, including the tip, how much will each person pay?

1 answer:

Iteru [2.4K]2 years ago

8 0

I did the multiplications and I think it is 1,568

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Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t

Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53 is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

a)

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

so

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

b)

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) = 2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53 is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

6 0

3 years ago

The width of a rectangle is 6 2/3 inches. The length of the rectangle is twice its width. What is the perimeter of the rectangle

hichkok12 [17]

A perimeter of a rectangle is:
$2(l+w)$

They give you the width, but let's convert it to an improper fraction first:
$6 \frac{2}{3} = \frac{20}{3}$

The length is twice the width so it is:
$\frac{20}{3}*2 = \frac{40}{3}$

Now, we are ready to solve, plug in values in the perimeter formula:
$2( \frac{40}{3}+ \frac{20}{3}) = 2(\frac{60}{3}) = \frac{120}{3} = 40$

So, 40 is your answer.

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3 years ago

How many minutes did he/she play in all

Lerok [7]

Add the 3 fractions together.
Mixed fractions: 5 3/4 + 2 2/3 + 10 1/6
Convert to improper fractions and then add. Or simply use a calculator.

Total = 223/12 = 18 7/12

5 0

2 years ago

Read 2 more answers

Please help with this problem. It's very confusing.

Eddi Din [679]

Answer:

9x

Step-by-step explanation:

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2 years ago

Can you help me please

grigory [225]

m is 43

add my instagarm @jessica.letendre

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3 years ago