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dangina [55]
2 years ago
6

When Joseph first starts working at a grocery store, his hourly rate is $ 10 $10dollar sign, 10. For each year he works at the g

rocery store, his hourly rate increases by $ 0.50 $0
Mathematics
1 answer:
VLD [36.1K]2 years ago
7 0

Answer:

y = 10+ 0.50 x

Step-by-step explanation:

Given

Initial = \$10

Increment = \$0.50 -- yearly

Required

Represent as a function (this is the missing part of the question)

The given details show that the question illustrates linear function

i.e.

y = b + mx

In this case, it is:

Current\ Rate = Initial + Increment * Years

Represent the current rate with y and the years with x.

So, we have:

y = Initial + Increment * x

Substitute 10 for Initial and 0.5 for Increment

y = 10+ 0.50 * x

y = 10+ 0.50 x

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3 years ago
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The area of a playground is 2,400 square yards, and the width is 40 yards. What is the length of the playground? PLEASE HELP
Dmitrij [34]
The answer you are looking for is 60 yards!
You can use the formula x*y=z
Making 40*y=2400
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40*60=2400
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5 0
2 years ago
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user100 [1]

Answer:

Direct variation

Step-by-step explanation:

It's not iverse because the line is curved so it's direct variation

6 0
3 years ago
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.

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3 years ago
Vani signed up for a streaming music service that costs $12 per month. The service
ollegr [7]

Answer:

49.5 dollars first part and y=12+1.25x second part

Step-by-step explanation:

7 0
3 years ago
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