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Black_prince [1.1K]
3 years ago
11

A town has a population of 1000 people at time t equals 0.The population increases by 30 people a year. Write a formula for the

population, upper p, of the town as a function of year t.
Mathematics
1 answer:
anygoal [31]3 years ago
5 0

The given point (t, P) is (0, 1000), and the slope is given as ∆P/∆t = 30. Using the point-slope form of the equation for a line, the equation can be written as

... P = 30t + 1000

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The average age of staff in the maths department is 40.
pashok25 [27]

Answer:

Cerian is 28 years old

Step-by-step explanation:

The given parameters are;

The average age of the staffs in the mathematics department = 40

The number of staffs in the department = 7

The average age of Jill, Nicky and Wendy = 41

The average age of Andy, Alan and Cathy = 43

From the given parameters, we have;

The average age of the staffs in the mathematics department = (The sum total of the ages of the members of the math department)/(The number of staffs in the department)

Therefore;

40 = (The sum total of the ages of the members of the math department)/ (7)

From which we have;

The sum total of the ages of the members of the math department = 40 × 7 = 280

Which gives;

Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age = 280 years

The average age of Jill, Nicky and Wendy = 41

Given that Jill, Nicky, and Wendy make up 3 of the 7 members of staffs, we have;

The average age of Jill, Nicky and Wendy = (The sum total of the ages of Jill, Nicky, and Wendy)/(The number of staff Jill, Nicky, and Wendt make)

Therefore;

The sum total of the ages of Jill, Nicky, and Wendy = 41 × 3 = 123

Which gives;

Jill's age + Nicky's age + Wendy's age = 123 years

Similarly, the sum total of the ages of Andy, Alan, and Cathy = 43 × 3 = 129

Which gives;

Andy's age + Alan's age + Cathy's age = 129 years

Therefore;

Cerian's age = (Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age) - (Jill's age + Nicky's age + Wendy's age) + (Andy's age + Alan's age + Cathy's age)

∴ Cerian's age = 280 years - 123 years - 129 years = 28 years

6 0
3 years ago
Y = 5x +22
Eduardwww [97]
The answer is B. The number 14 represents 14 days, or 2 weeks. Since the equation is solved to get 92, that is how tall it will be then.
7 0
2 years ago
Clayton is at most 2 meters above sea level. Using C for Clayton, which inequality correctly represents this statement?
Nataly [62]

Answer:

C ≤ 2

Step-by-step explanation:

Given that :

Clayton is at most 2 meters above sea level ;

Let Clayton = C

Clayton's distance can be represented by the inequality :

2 meters above sea level is positive, +2

At most 2 meters above sea level means, Clayton could be anywhere between + 2 metwrs but not more than 2 meters

Hence, Clayton's distance can be represented by the inequality :

C ≤ 2

5 0
2 years ago
Jon is looking into a $4,250 vacation package that is offered for 25% off. There is a 9% resort fee added on the total.How much
Charra [1.4K]

Answer:

3,474.4

Step-by-step explanation:

4,250-25%=3187.5

3187.5+9%=3474.4

7 0
3 years ago
Solve by factoring.<br><br> 3q^2+q-14=0
hodyreva [135]
When doing this equation, draw a big X on your paper. At the top of the x you do A times C. At the bottom, you put the B. To factor, you need to find what two numbers MULTIPLY together to equal the A times C, and that add together to get the B.

In all you will get (q+7) (q-6)
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