Hamburger costs $1.49 for 1/2 pound. How much would the hamburger cost for a whole pound?

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the populatio

Maksim231197 [3]

Answer:

C. 1.8027

Step-by-step explanation:

The exponential population growth model is given by:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.

This means that $P_{0} = 1.65, P(3) = 1.74$

Applying this to the equation, we find r. So

$P(t) = P_{0}e^{rt}$

$1.74 = 1.65e^{3r}$

$e^{3r} = \frac{1.74}{1.65}$

$e^{3r} = 1.0545$

Applying ln to both sides

$\ln{e^{3r}} = \ln{1.0545}$

$3r = \ln{1.0545}$

$r = \frac{\ln{1.0545}}{3}$

$r = 0.0177$

So

$P(t) = 1.65e^{0.0177t}$

What would be the population of the city 5 years after the start of the population study?

This is P(5).

$P(t) = 1.65e^{0.0177t}$

$P(5) = 1.65e^{0.0177*5}$

$P(5) = 1.8027$

So the correct answer is:

C. 1.8027

6 0

4 years ago

(-3,-14) and (0-9) Pls help!!!

andreyandreev [35.5K]

Answer:

y = (5/3)x - 9

Step-by-step explanation:

First, find the slope (rise over run):

m = (-9 - (-14)) / (0 - (-3)) = (-9 + 14) / (0 + 3) = 5/3

Use the point-slope form equation with the given points (-3, -14):

y + 14 = (5/3)(x + 3)

or optionally in slope intercept form:

y = (5/3)x - 9

3 0

3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

koban [17]

Answer:

Rise is a vertical line from 0 to 4

Run is a horizontal line from 0 to 4

Slope of a line is called the gradient.

Additional information:

Gradient =rise/run

= 4/4

= 1

Y=mx +c

Y=1x +4

Y= x+4

But the slope show a negative correlation, so gradient will be negative & it's y = - x + 4.

BTW the rise and run could also be from 4 on the y-axis and down to the 4 on the x-axis.

So, there is two possible triangles you could make.

As a result, the rise is a straight line going up or down ( vertical ) and the run is a straight line going across from left to right (horizontal).

7 0

3 years ago

How many different ways are there to make 30 cents with pennies nickels dimes or quarters?

never [62]

There is 1 way to make 30 cents using only pennies. (i.e. 30 pennies = 30 cents)

There is 1 way to make 30 cents using only nickels. (i.e. 6 nickels = 30 cents)

There is 1 way to make 30 cents using only dimes. (i.e. 3 dimes = 30 cents)

There are 5 ways to make 30 cents using only pennies and nickels. (i.e. 25 pennies + 1 nickel = 30 cents, 20 pennies + 2 nickels = 30 cents . . . )

There are 2 ways of making 30 cents using only pennies and dimes. (i.e. 20 pennies + 1 dime = 30 cents, 10 pennies + 2 dimes = 30 cents)

There is 1 way of making 30 cents using only pennies and quarters. (i.e. 5 pennies + 1 quarter = 30 cents)

There are 2 ways of making 30 cents using only nickels and dimes. (i.e. 4 nickels + 1 dime = 30 cents, 2 nickels + 2 dimes = 30 cents)

There is 1 way of making 30 cents using only nickels and quarters. (i.e. 1 nickel + 1 quarter = 30 cents)

There are 4 ways to make 30 cents using only pennies, nickels and dimes. (i.e. 15 pennies + 1 nickel + 1 dime = 30 cents, 10 pennies + 2 nickels + 1 dime = 30 cents . . . )

Adding all the possible combinations therefore, there are 18 different ways are there to make 30 cents with pennies nickels dimes or quarters.

4 0

4 years ago

2. Liz claimed that the polynomial 4x -12 + 2x is a trinomial because it has three

Nataly [62]

Answer:

see below

Step-by-step explanation:

The first step is to combine like terms

4x -12 + 2x

6x -12

Then determine the number of terms

2 terms so it is a binomial

7 0

4 years ago

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