Mathematics, 28.02.2021 02:40 mmaglaya1

Ty raised $84 to support the animal shelter, which is 30% of his fundraising goal. What is Ty's fundraising goal?

Answers: 3

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Answers

Answer from: jr294

Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay
Remember the first time we met
You was at the mall wit yo friend
I was scared to approach ya
But then you came closer
Hopin' you would give me a chance
Who would have ever knew
That we would ever be more than friends
We're real worldwide, breakin' all the rules
She like a song played again and again
That girl, like something off a poster
That girl, is a dime they say
That girl, is a gun to my holster
She's running through my mind all day, ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
See you been all around the globe
Not once did you leave my mind
We talk on the phone, from night 'til the morn'
Girl, you really changed my life
Doin' things I never do
I'm in the kitchen cookin' things she likes
We're real worldwide, breakin' all the rules
Someday I wanna make you my wife
That girl, like something off a poster
That girl, is a dime they say (Hey)
That girl, is a gun to my holster
She's running through my mind all day, ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
I can be your melody
Oh, girl, I could write you a symphony
The one that could fill your fantasies
So come baby girl let's sing with me, ay
I can be your melody
Oh, girl, I could write you a symphony
The one that could fill your fantasies
So come baby girl let's sing with me, ay
Na na na na na na na
Na na na na na na
Shawty got me singin'
Na na na na na na na
Na na na na na na
Now she got me singin'
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay

Answer from: sam5952

The answer is 109.20

Answer from: Quest

part a

answer: a reasonable domain is $0 \le n \le 10$ where n is a real number. so n can be between 0 and 10. both endpoints are included.

work shown:

n is the number of days after the experiment starts. the smallest n can be is n = 0 which means that 0 days have gone by, and we're at the start. to find out how large n should be, then replace f(n) with 16.13 and solve for n. use logarithms to isolate the exponent.

f(n) = 12*(1.03)^n

16.13 = 12*(1.03)^n

16.13/12 = (1.03)^n

1.34416666666667 = (1.03)^n

(1.03)^n = 1.34416666666667

log[ (1.03)^n ] = log[ 1.34416666666667 ]

n*log[ 1.03 ] = log[ 1.34416666666667 ]

n = log[ 1.34416666666667 ]/log[ 1.03 ]

n = 10.0062999823929

this rounds to n = 10 which is fairly close but not 100% perfect. so this is the largest n can be.

note: if you plug n = 10 into f(n), you'll get roughly 16.127 which rounds to 16.13 (this comes up again in part c)

=====================================

part b

answer: the y intercept is 12. it represents the starting height of the plant in cm.

work shown:

plug n = 0 into the f(n) function. simplify

f(n) = 12*(1.03)^n

f(0) = 12*(1.03)^0

f(0) = 12*(1)

f(0) = 12

on day n = 0, aka the starting point, the height f(n) is 12 cm

=====================================

part c

answer: the average rate of change is approximately 0.43061036458991 (round however you need to). this represents the average growth rate from day n = 3 to day n = 10. so the plant grew roughly 0.43 cm per day during this timespan, assuming you round to 2 decimal places.

work shown:

compute f(3)

f(n) = 12*(1.03)^n

f(3) = 12*(1.03)^3

f(3) = 13.112724 < we'll use this later

compute f(10)

f(n) = 12*(1.03)^n

f(10) = 12*(1.03)^10

f(10) = 16.1269965521294 < we'll use this later

now use the formula below with a = 3 and b = 10

aroc = average rate of change

aroc = [ f(b) - f(a) ]/[ b - a ]

aroc = [ f(10) - f(3) ]/[ 10 - 3 ]

aroc = (16.1269965521294 - 13.112724)/(10 - 3)

aroc = 3.0142725521294/7

aroc = 0.43061036458991

round this however you need to

note: the plant grew approximately 3.01 cm over 7 days, so roughly 0.43 cm per day is the average growth rate (if you were to round to 2 decimal places).

Answer from: Quest

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation: