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3 years ago

7

The formula c = 5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of

people attending, if Allie's parents are willing to spend $300 for a party how many people can attend?

1 answer:

yarga [219]3 years ago

3 0

Given:
c = cost
p = people
Spent $300

Formula: c=5p+215

Solving for how many people (p)

C=5P+215
(300)=5P+215 (Subtract 215 on both sides)
85=5P (Divide by 5 on both sides)
17=P

The answer is 17. 17 people can afford to host a birthday party.

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the

gladu [14]

Answer:

Part 1) Australia $19,751,012\ people$

Part 2) China $1,319,645,764\ people$

Part 3) Mexico $109,712,539\ people$

Part 4) Zaire $60,534,681\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$P(t)=a(1+r)^t$

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

$a=19,169,000\\r=0.6\%=0.6\100=0.006$

substitute

$P(t)=19,169,000(1+0.006)^t$

$P(t)=19,169,000(1.006)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=19,169,000(1.006)^5=19,751,012\ people$

Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

$P(t)=1,261,832,000(1.009)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=100,350,000(1.018)^5=109,712,539\ people$

Part 4) Zaire

we have

$a=51,965,000\\r=3.1\%=3.1\100=0.031$

substitute

$P(t)=51,965,000(1+0.031)^t$

$P(t)=51,965,000(1.031)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=51,965,000(1.031)^5=60,534,681\ people$

8 0

3 years ago

Can anyone help me with these two questions

lozanna [386]

Hi there!

The linear equation would be y = 3x + 11. This is because the slope is 3, found by using the formula (y2-y1 / x2-x1). Then, we can plug in the slope and a point into y=mx+b form. Next, we can plug in 0 for x and 0 for y to figure out if the line goes through the point (0,0). Doing this, we discover that the line does not go through the point (0,0).

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

8 0

3 years ago

The linear function that is represented by which table has the same slope as the graph? On a coordinate plane, a line goes throu

xeze [42]

Answer: I’m not exactly sure, but I wanna help. So from the Work I’ve done option C is the answer.

Step-by-step explanation:

3 0

3 years ago

What is <br> 1 + 1<br> 2 + 2 <br> 4 + 4<br> 8 + 8<br> 16 + 16<br> Btw chat room for all!!

DENIUS [597]

OH i know this one! i know this one!!

* grabs my notebook and a pencil and lays on the floor* hm... its

2

4

8

16

32

yay!! lol this was me lol

7 0

3 years ago

Read 2 more answers

(2/5,-2/5),(-7/8,-3/5)

Misha Larkins [42]

Answer: (-19/80, -1/2)

Step By Step Explanation:

First you want to do 2/5 - 7/8. Once you get -19/40, you want to divide it by 2. After doing this step, you will get -19/80. Next, you want to do the same thing with the other one. -2/5 -3/5 or 2/5+3/5 except the answer will be negative. Now you get -1/2. Therefore, the answer is (-19/80, -1/2). Sorry if my explanation is trashy.

3 0

3 years ago