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3 years ago

Need help with this !!!!!!

Mathematics

1 answer:

SVEN [57.7K]3 years ago

6 0

Answer:

25+7(n-1)

Step-by-step explanation:

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City A's population of 1115000 is decreasing at a rate of 15000 per year. City B's population of 698000 is increasing at a rate

vredina [299]

Answer:

7 years

Step-by-step explanation:

Let x be number of years the populations be equal

City A's population of 1115000 is decreasing at a rate of 15000 per year.

The population is decreasing at a constant rate so we use equation

y= mx + b

where m is the slope(rate), b is the initial population

m= -15000 (decreasing) , b= 1115000

y= -15000 x + 1115000

City B's population of 698000 is increasing at a rate of 45000 per year.

m= 45000 (increasing) , b= 698000

y= 45000 x + 698000

Now we set the equations equal and solve for x

45000 x + 698000 = -15000 x + 1115000

Add 15000 on both sides

60000 x + 698000 = 1115000

Subtract 689000 on both sides

60000 x = 417000

Divide by 60000 on both sides

x= 6.95

So after 7 years the population will be equal.

7 0

3 years ago

Brienne and 3 friends bought tickets to the movies. They spent a total of $27.00 on the tickets. Which equation represents this

Sindrei [870]

Hello!

The equation that represents this situation is A. 3t = 27.

Explanation:

This is because an equation is a "mathematical sentence" and this equation says that if you multiply the costs of the three friends' tickets, the total cost would be $27.

5 0

3 years ago

60.April would like to invest $200 in the bank for one year. Three banks all have a nominal APR of 1.5%, but compound the intere

mojhsa [17]

Answer:

$203.02

Step-by-step explanation:

Since the bank in question compounds interest continuously, the following equation should be used to determine the final balance (B) in April's account:

$B= 200*e^{i*t}$

Where "e" is a mathematical constant approximated as 2.7183, "i" is the interest rate (1.5%) and "t" is the investment time in years (1):

$B= 200*e^{0.015*1}$

$B= 203.02$

April's balance would be $203.02 after one year.

5 0

3 years ago

The cost T, in dollars, of tuition and fees at Addison Technical College is $125 per credit plus an $85 registration fee. How ma

Sladkaya [172]

Answer:

Step-by-step explanation:

1710/125 = 13.68

You need

125 x 13 = 1710

A student could take 13 credits.

8 0

3 years ago

The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability

Marianna [84]

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

3 0

3 years ago