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inessss [21]
3 years ago
12

Write a real world situation for the function f(x) = 3(1.06x) + 2. Be sure to identify all key features of the function as what

they represent in your situation.
Mathematics
2 answers:
lord [1]3 years ago
8 0

Answer:

Paul's salary is increased by 6% and John's salary is 2 more than thrice Paul's salary.

Step-by-step explanation:

Paul and John are working in a Company and this month Paul's salary is increased by 6%. John's salary is 2 more than thrice Paul's salary.

If <em>x </em>represents Paul's salary before increment, and <em>y</em> represents John's current salary, find Paul's current salary.

<em>x </em>is Paul's salary before increment.

So, Paul's current salary = <em>x</em> + 6% of <em>x</em>

= <em>x</em> + 0.06<em>x</em>

= 1.06<em>x</em>

John's current salary is 2 more than thrice Paul's salary.

So, John's current salary = 3(1.06<em>x</em>) + 2.

olya-2409 [2.1K]3 years ago
8 0

Answer:

Paul's salary is increased by 6% and John's salary is 2 more than thrice Paul's salary.

Step-by-step explanation:

You might be interested in
Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 2 minutes. When taking
Xelga [282]

Answer:

1 plane

Step-by-step explanation:

Let's suppose the number of planes waiting or on the runway " P "

the number of planes taking off per hour ' P_{takeoff}'

the time for waiting and the runway T_{wr} so:

P = P_{takeoff}   x T_{wr}

P_{takeoff} = 18 airplanes per hour

we know that 1 min = 60s

36s = 36/60 = 0.6 min

Also, 3 min and 30 s = 3 + 30/60 = 3.5 min

Next to find the time for waiting and the runway

∴T_{wr}= 0.6 + 3.5  = 4.1 min/60 (converting into hour)

T_{wr}= 0.068 hour

P = 18x0.068 = 1.23

therefore, there is 1 plane either on the runway or waiting to take off

So, there is 1 plane either on the runway or waiting to take off

Read more on Brainly.com - brainly.com/question/13622877#readmore

5 0
3 years ago
Please answer quickly, I need to get this done. I'll mark brainliest.
worty [1.4K]

J (-4, 1), K (-4, -2), L (-3, -1)

(a) To rotate a point 90° counterclockwise about the origin, multiply the y-coordinate by -1 and then interchange the z- and y- coordinates.

(x, y)'' = (-y, x)

Substitute all of J (-4, 1), K (-4, -2), L (-3, -1) for (x, y)

Solution:

J'' = J (-4, 1) × (x, -1) = (-4, -1)

K'' = K (-4, -2) × (x, -1) = (-4, 2)

L'' = L (-3, -1) × (x, -1) = (-3, 1)

J'' (-1, -4), K'' (2, -4), L'' (1, -3)

Image ▲J"K"L": Look at the first attached picture.

(b) To reflect a point in the y-axis, we multiply its x-coordinate by -1.

Substitute all of J (-4, 1), K (-4, -2), L (-3, -1) for (x, y)

Multiplying by -1:

J'' = J (-4, 1) × (-1, y) = (4, 1)

K'' = K (-4, -2) × (-1, y) = (4, -2)

L'' = L (-3, -1) × (-1, y) = (3, -1)

J'' (4, 1), K'' (4, -2), L'' (3, -1)

Image ▲J"K"L": Look at the second attached picture.



7 0
3 years ago
A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how
Juli2301 [7.4K]

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

6 0
3 years ago
Determine whether the two variables are related in a way that might be described by a function. If the situation could be descri
Ivenika [448]

Answer:

B

Step-by-step explanation:

We can observe relationship between demand and price in the sense that, price of a commodity can influence the demand for such commodity. However, we must understand that price is usually not the only explanatory variable for demand in most cases.

Meanwhile, for this question, demand is the dependent variable because it is a function of price. That is:

==> Demand = f(Price)

And price is the independent variable.

We assume that if price of a commodity increase, the demand will decrease if there is a substitute goods in the market.

But, in a monopoly, any increase in price of the commodity might cause decrease in demand only for a while particularly if such goods is a daily necessities. This is largely due to the fact that, the consumers has no other substitute and the goods is important to their daily needs. Hence, any increase in price will rather cause economic hardship on the consumer in a monopoly market.

In conclusion, price determines demand! Thus, the situation can be described by a function. The dependent variable is the demand and the independent variable is the price.

3 0
3 years ago
AB = 5 units and CD = 5 units, what is the length of your new segment, AD?
pogonyaev

Answer:

New segment AD = 10 units

Step-by-step explanation:

Given:

AB = 5 units

CD = 5 units

Find:

New segment AD.

Computation:

⇒ New segment AD = AB + CD

⇒ New segment AD = 5 units + 5 units

⇒ New segment AD = 10 units

5 0
4 years ago
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