1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina-Kira [14]
3 years ago
7

At a local high school, enrollment in the drama club increases by 5 percent each year. What is the common ratio in this situatio

n?
Mathematics
2 answers:
Dovator [93]3 years ago
7 0

Answer:

common ratio will be 1.05.

Step-by-step explanation:

At a local high school, enrollment in the drama club increases by 5%.

Let initial number of students in high school is 'a'.

so next year increase in students will be = 5% of a

                                                                    = \frac{5}{100} × a

                                                                    = 0.05a

and total number of the students will be  = ( a + 0.05a )

                                                                    = ( 1.05a )

So common ratio of the geometric square formed will be

=  \frac{1.05a}{a}  =  1.05

Therefore, common ratio will be 1.05.

Nitella [24]3 years ago
6 0
(new enrollment) = (old enrollment) +5%*(old enrollment)
.. = (old enrollment)*(1 +5%)
.. = (old enrollment)*1.05

The common ratio is 1.05.
You might be interested in
What is the midpoint of the x-intercepts of f(x)=(x-2)(x-4
NARA [144]
Well, we know that the x-intercepts are (0,2) and (0,4).  That means that the midpoint is just (0,3)

You can also use the midpoint formula:

M=( \frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

If you thought my answer helped and was correct, please label my answer the brainliest for others to see.
7 0
3 years ago
Read 2 more answers
Write the equation of a line that goes through point (0,1) and has a slope of 0
8090 [49]

Answer:

1 = y

Step-by-step explanation:

The y-intercept is [0, 1], so you draw a horizontal line through the line y = 1., which is considered a zero <em>slope</em><em> </em>[<em>rate</em><em> </em><em>of</em><em> </em><em>change</em>].

I am joyous to assist you anytime.

5 0
4 years ago
We have N cars on a circular one-way road; they have the same make, same model, same year and the same fuel economy. The total a
Natasha2012 [34]

Answer: Satisfied for n=1, n=k and n=k+1

Step-by-step explanation:

The induction procedure involves two steps

First is

Basic Step

Here we consider that for the value n=1, there is one car and it will always make the full circle.

Induction Step

Since basic step is satisfied for n=1

Now we do it for n=k+1

Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.

Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.

So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.

8 0
3 years ago
On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.
9966 [12]

Answer:

The correct option is;

No, the distance from (0, 0) to (2, √6) is not 3 units

Step-by-step explanation:

The given parameters of the question are as follows;

Circle center (h, k) = (0, 0)

Point on the circle (x, y) = (3, 0)

We are required to verify whether point (2, √6) lie on the circle

We note that the radius of the circle is given by the equation of the circle as follows;

Distance \, formula = \sqrt{\left (x_{2}-x_{1}  \right )^{2} + \left (y_{2}-y_{1}  \right )^{2}}

Distance² = (x - h)² + (y - k)² = r² which gives;

(3 - 0)² + (0 - 0)² = 3²

Hence r² = 3² and r = 3 units

We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;

\sqrt{\left (x_{2}-x_{1}  \right )^{2} + \left (y_{2}-y_{1}  \right )^{2}} = Distance

Therefore;

(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²

\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10

Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10

Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point  (2, √6), does not lie on the circle.

4 0
3 years ago
Read 2 more answers
What is the measure of x, given that figure ABCD is a rhombus.
dsp73
The answer would be d 
5 0
3 years ago
Other questions:
  • A house was bought 20 years ago for $160,00. Due to inflation, its value had increased by 5% each year.
    14·1 answer
  • If qr=8x+1 and qs=20x-26 than what is rs
    11·1 answer
  • 6 + 3 • 4 evaluate the following numerical exspressions
    10·1 answer
  • Is 6 sqaured a rational number
    9·2 answers
  • How many ways can 8 chairs be arranged?<br> a <br> b 336<br> c 1680<br> d 40320
    8·1 answer
  • The letters that form probability are placed in a bowl, what is the probability of choosing a letter b replacing it and the draw
    12·1 answer
  • Help me please is for an exam
    5·1 answer
  • Plsss i really need help.​
    7·1 answer
  • Need answers nowww
    7·1 answer
  • What is the area of the parallelogram?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!