01.05.2021

In a local district math competition, three schools compete, and the winner advances to the state competition
After each round, only one-third of the schools remain in the competition to advance to the state competition. A
total of 729 schools start the competition.
How many schools are left after 3 rounds?

. 6

Faq

Mathematics
Step-by-step answer
P Answered by Specialist

f(x) = \dfrac{729}{3^x}

Step-by-step explanation:

We are given the following in the question:

Number of schools in the starting of the competition = 729

Number of schools remaining after each round =

\dfrac{1}{3}\text{ of the school in previous round}

We have to model an exponential function to describe the number of school remaining after x rounds.

F(x) = 729(\dfrac{1}{3})^x\\\\f(x) = \dfrac{729}{3^x}

is the required function, where f(x) gives the number of school remaining after x rounds.

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Try asking the Studen AI a question.

It will provide an instant answer!

FREE