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2 years ago

Solve the system using substitution. Show all work.

Mathematics

1 answer:

Brrunno [24]2 years ago

4 0

Here is the answer I hope it helps

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Suppose a city with population 300 comma 000 has been growing at a rate of 3% per year. If this rate continues, find the popul

viktelen [127]

Answer:

The population of this city in 13 years is 440,550.

Step-by-step explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be $A.$

Population ( $P$ ) = 300,000.

Rate per year ( $r$ ) = 3%.

Time ( $t$ ) = 13 years.

Now, we put formula to get the population of the city in 13 years:

$A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.$

Therefore, the population of this city in 13 years is 440,550.

3 0

2 years ago

Classify each number below as a rational number or an irrational number.

coldgirl [10]

Answer:

Step-by-step explanation:

$\sqrt{29} - Irrational$

$\frac{10}{3} - Rational$

$-2\pi - Irrational$

$-52.(92) - Rational$

$-\sqrt{81} - Rational$

6 0

2 years ago

The cost of highlighters is proportional to the number of highlighters purchased. If a 4-pack of highlighters costs $2.40, what

Kaylis [27]

Answer:

$0.60 per highlighter

Step-by-step explanation:

You just do $2.40/4 and you get $0.60

5 0

2 years ago

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

SOVA2 [1]

For this case we have a function of the form:

$y = A * (b) ^ x$

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

$b = 2$

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

$2 = A * (2) ^ 1$

Clearing A we have:

$2 = A * 2$

$A = \frac{2}{2}\\A = 1$

Then, the function is given by:

$y = 1 * (2) ^ x$

For after 9 hours we have:

$y = 1 * (2) ^ 9\\y = 512$

Answer:

the diameter of the bacteria after 9 hours is:

$y = 512$

6 0

2 years ago

PLEASE HELP Which of the following ordered pairs represents a function?

nordsb [41]

Answer:

The Answer is b, as the X value does not repeat.

Step-by-step explanation:

7 0

2 years ago