What is 5339 round to

The cost of renting a private room at a restaurant is $400. There is also a charge of $25 for each person who attends. The total

Alisiya [41]

room=400

Ppl=25p

Total cost=775

775=25p+400 ⟨—— equation

775-400=25p

375/25=p

15=p

15 people attended his party

4 0

3 years ago

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

Patrick bought a Discounted pair of tickets to the Yankees game for 1/4 off the Original price. if the tickets costed $200 how m

Soloha48 [4]

Answer:

$50

Step-by-step explanation:

you multiply 1/4 with 200

this results in 50

1/4= .25

.25 x 200 = 50 !!!

7 0

3 years ago

Read 2 more answers

The graph shows the height of a gold ball driven from a tee box as a function of the horizontal distance that it travels

kondor19780726 [428]

Answer:

Intercept form y=-5/64 (x) (x-160)

Vertex form y = -5/64 (x-80)^2 + 500

Step-by-step explanation:

The equation for a parabola in intercept form is y =a(x-p) (x-q)

where p and q are the intercepts. We know that it intersects the x axis at 0 and 160, so we can substitute these in

y = a(x-0) (x-160)

y = a(x) (x-160)

We have to calculate the value of a.

Using the point (80, 500)

500 = a(80) (80-160)

500 = a (80) *(-80)

500 = a *-6400

Divide each side by -6400

a = -500/6400

a = -5/64

So the equation in intercept form is

y = -5/64 (x) (x-160)

The equation for a parabola in vertex form is

y = a(x-h)^2 +k

We know the vertex is (80,500)

y = a(x-80)^2 + 500

We need to pick a point to solve for a. (0,0)

0 = a(0-80)^2 + 500

Subtract 500 from each side.

-500 = a(-80)^2

-500 = a (6400)

Divide by 6400

-500/6400 = a

-5/64 = a ( Does this look familiar?)

y = -5/64 (x-80)^2 + 500

8 0

4 years ago

If wallpaper border costs $1.25 per foot, how much will it cost to put new border in a room with the dimensions 17 ft long by 16

stepladder [879]

Answer: A. $82.50

Explanation: First, calculate how much wall will be covered. Two sides of the room are 17 ft, and two are 16 ft. That’s a total of 66 ft of wall. (17 + 17 + 16 + 16 = 66.) Now, multiply by the cost of wallpaper. 66 * 1.25 = 82.5.

5 0

3 years ago