The function f(x) = 830(1.2)x represents the number of students enrolled at a university x years after it was founded. Each year, the number of students is ____ the number the year before.

Answers

Answer 1

Answer:

1.2 times or 20%

Step-by-step explanation:

Given the function ; f(x) = 830(1.2)^x

This is an exponential function ;

Recall the general form of an exponential function ; f(x) = ab^x ;

Where a = Initial value ; b = growth rate

Hence, b = 1.2

Also, b = 1 + r

1.2 = 1 + r

r = 1.2 - 1

r = 0.2

r = 0.2 * 100% = 20%


Related Questions

A film starts at 19:30 the film lasts 104 minutes at what time does the film end?

Answers

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is 21:14. Split 104 minutes so it will be easier to calculate so it's 60 and 44. 60 minutes is 1 hour so add 1 hour to 19:30 which is 20:30 then there is 44 minutes left. There is 30 minutes left to make it 21:00 so there is 14 minutes left at the end and add that to 21:00 which is 21:14.

hope this helps,have a great day!!

~Pinky~

If a film starts at 19:30 and lasts 104 minutes.

The film will end at 21:14.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. 

Example:

x + y + 2 is an expression.

We have,

Film start time = 19:30

Duration of the film = 104 minutes

1 hour = 60 minutes

Multiply 104/60 on both sides

104/60 x 1 hour = 104/60 x 60 minutes

1.73 hours = 104 minutes

The time the film will end:

= 19:30 + 1.73 hours

= 19:30 + 1 hour + 44 minutes

= 21:14

Thus,

The film will end at 21:14.

Learn more about expressions here:

https://brainly.com/question/10978794

#SPJ2

Expand the following: a)2(x - 1) b) 3(2x + 3) c) 7(x + 5 d) 5(2x - y) o Tyne here to search

Answers

Step-by-step explanation:

a )2x-2

b)6x+9

c)7x+35d

for these type of questions you basically just times the out side number of the brackets by the inside one.

hope this helps u understand:)

The multiplicative inverse of 1
W
is:

Answers

Answer:W

Step-by-step explanation: The multiplicative inverse is the reciprocal of the number

ANSWER QUICK PLEASE

you can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?​

Answers

Answer:

consider x as the number of hours you work

so, the function that would satisfy this equation is

10x

in the given graph of a cubic polynomial, what are the number of real zeros and complex zeros respectively

Answers

Answer:

1 real and 2 complex

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some may be complex.

A cubic is a polynomial of degree 3 , then has 3 zeros.

From the graph

There is a real zero at x = 4

Thus the other 2 must be complex

Please help!!!!!! I’ll give the brainliest !!!!!!!
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 find (8/f)(x)

Answers

Answer:

9x² + 6x - 5

Step-by-step explanation:

If you mean g(f(x))

g(x) = x² - 6

f(x) = 3x + 1

Then, g(f(x)) = g(3x + 1)

but g(x) = x² - 6

g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6

= 9x² + 6x - 5

due today pls help me

Answers

Answer:

BC = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

Hope this helps u !!

what s 464657474+64736825483

Answers

Answer:

Correct answer of 464657474+64736825483 is 65201482957

A washing machine is packaged in a box that is one meter wide, 1.5 meters long and 1.75 meters tall. What is the surface area of the box?

Answers

Answer:

11.75 please give brainliest

Step-by-step explanation:

if log w = (1/2) log x + log y, then w= ?

Answers

Answer:

[tex]w = \sqrt{x} y[/tex]

Step-by-step explanation:

Formula used :

[tex]a \ log\ b = log \ b^a\\\\log a + log b = log \ ab[/tex]

 

[tex]log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y[/tex]

That’s my answer ! I hope it help

Which statement best describes how to determine whether f(x) = x² – X + 8 is an even function?

1. Determine whether -x²-(-x)+8 is equivalent to x²-x+8
2. Determine whether (x)²-x+8 is equivalent to x²-x+8
3. Determine whether -x²(-x)+8 is equivalent to -(x²-x+8)
4. Determine whether (-2)²-(-x)+8 is equivalent to -(x²-x+8)​

Answers

Answer:

Option 1

Step-by-step explanation:

You can tell if a function is even if [tex]f(-x)=f(x)[/tex]:

[tex]f(x)=x^2-x+8[/tex]

[tex]f(-x)=(-x)^2-(-x)+8[/tex]

[tex]f(-x)=x^2+x+8[/tex]

Since [tex]f(-x)\neq f(x)[/tex], the function is not even. Therefore, option 1 is the best option.

Help :( please help

Answers

Answer:

3x + 9

Step-by-step explanation:

it is always equal to its self

Which table shows a proportional relationship between x and y? ​

Answers

Table D shows a proportional relationship. Notice how the difference between x and y is 5. 5/1=5, 10/2=5, 15/3=5...etc
Please Mark BRAINLIEST!

The picture is above I’ll mark as brainliest.

Answers

Answer: B) [tex]25 ft^2[/tex]

Step-by-step explanation:

The figure is 5 blocks high and 5 blocks long.

That is 5x5 which is 25.

Each block is a foot squared so the final answer is [tex]25 ft^2[/tex]

Answer:

Answer is B. 25f squared

Step-by-step explanation:

5 down 5 across, multiply it.

The diameter of a circle is 8 kilometers.
What is the circle's area?


PLEASE HELP

Answers

Answer:

[tex]area = \pi {r}^{2} \\ = \frac{22}{7} \times {( \frac{8}{2} )}^{2} \\ = 50.3 \: {km}^{2} [/tex]

50.24

Explanation :
A= Pi x R^2
Radius is half of diameter
Half of 8= 4
4x4=16
3.14 x 16= 50.24

Chang knows one side of a triangle is 13 cm. Which set of two sides iS possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
• 6 cm and 7 cm 7
O 7 cm and 2 cm
• 8 cm and 9 cm

Answers

Answer:

8 cm and 9 cm by using a>b+c where a, b and c are sides of a triangle

Use an algebraic approach to solve the problem.

Judy bought a coat at a 10% discount sale for $63. What was the original price of the coat?

Answers

Answer:

$70

Step-by-step explanation:

essentially, Judy paid 90% of the original price

therefore you can write this equation where 'x' equals the original price:

.9x = 63

x = 63/.9

x = 70

please help me i have 5 minutes left: )! ill give Brainliest thanks<3

Answers

A, D, and E all work i think
I believe it’s A,D and E

Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpret the rate of change and initial value.

help me please

Answers

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

[tex]y=mx+b[/tex]            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and [tex]m=15[/tex].

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting [tex]x=10,y=200,m=15[/tex] in (i), we get

[tex]200=15(10)+b[/tex]

[tex]200=150+b[/tex]

[tex]200-150=b[/tex]

[tex]50=b[/tex]

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?

0.27 goldfish per cubic foot
3.75 goldfish per cubic foot
33 goldfish per cubic foot
57 goldfish per cubic foot

Answers

Answer:

0.27 goldfish per cubic foot

Step-by-step explanation:

Find the density of the tank by dividing the number of goldfish by the volume of the tank:

12/45

= 0.27

So, the density of the tank is 0.27 goldfish per cubic foot

Answer:

0.27 is the answer

Step-by-step explanation:

I took the test :)

An NBA basketball court is rectangular in shape where the length is 2m less than twice the width. If the perimeter of the court is 86m, what are the dimensions (length and width) of the court?

Answers

Answer:

Length = 28 m

Width = 15 m

Step-by-step explanation:

Court is rectangular in shape.

Now, we are told that;

Length is 2m less than twice the width(W) .

Thus;

Length; L = 2W - 2

We are told the perimeter is 86 m.

Formula for perimeter of a rectangle is;

P = 2(L + W)

Thus;

2((2W - 2) + W) = 86

Divide both sides by 2 to get;

(2W - 2) + W = 43

3W - 2 = 43

3W = 43 + 2

3W = 45

W = 45/3

W = 15 m

Thus; L = 2(15) - 2

L = 30 - 2

L = 28 m

Daily income of 8 workers is Rs. 2400. How many workers will earn Rs.1800

Answers

Answer:

6 workers

Step-by-step explanation:

Number workers to earnings is direct proportion.

8: 2400 :: x : 1800

Product of means = Product of extremes

2400 * x = 8*1800

           [tex]x = \frac{8*1800}{2400}\\\\x=6[/tex]

Answer:

6 workers will earn Rs. 1800.

Step-by-step explanation:

Given :-

Daily income of 8 workers is Rs. 2400.

To find :-

How many workers will earn Rs.1800.

Solution :-

Let

no. of workers will earn Rs. 1800 = x.

We need to write a ratio to solve.

8 = 2400x = 1800

using cross products

8 × 1800 = x × 240014400 = 2400x

Divide each side by 2400

14400/2400 = 2400x/24006 = x

Hence, 6 workers will earn Rs. 1800.

Solve this system to determine the number of solutions 7x + 12 = 2(x + 6)
A) No Solution
B) Infinitely many solutions
C) One solution

Answers

One solution, the answer is x = 0.

a particle travels 24.6km in 30 minutes. find the speed of the particle in km/h​

Answers

Answer:

49.2 km/h

Step-by-step explanation:

30 min times two equal an hour

24.6km times two equal 49.2 km/h

Hope this helps.

Do the side lengths 15,20 and 25 form a right triangle?


PLEASEEEE HELPPPP!!! asap

Answers

Answer: Yes, those sides form a right triangle

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

Work Shown:

a^2+b^2 = c^2

15^2+20^2 = 25^2

225+400 = 625

625 = 625

Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.

Side note: c is always the longest side.

I'm struggling please help!

Answers

Answer:

Calculate the zero of the function.

Step-by-step explanation:

Plot two points, Connect them, Draw a straight line and make sure they line up.

Christine drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles?

Answers

Answer:

13.2 gallons

Step-by-step explanation:

286/260 *12 = 13.2

Answer:

about 13.2 gallons

Step-by-step explanation:

Easy way to calculate.

12 gallons divided by 260 miles

Take that answer and multiply it by 286.

WILL MARK BRANLIEST AND YOULL GET 100 PTS!!!!!!Which two points satisfy y = -x2 + 2x + 4 and x + y = 4?

A. (0, 4) and (4, 0)

B. (0, 4) and (3, 1)

C. (7, -3) and (0, 4)

D. (7, -3) and (4, 0)

Answers

Answer:

It would be D or C.

Step-by-step explanation:

What term describes the process of using the output of one function as the input for another? A. Function mapping B. Function simplification C. Function composition D. Function notation

Answers

Answer:  C. Function composition

Step-by-step explanation:

If we have two functions, we can form a new function by composing one function into the other.  Such functions are known as composite functions.

For example we have two functions f and g and produces a function h such that h(x) = g(f(x)).  

It is generally a function that is written inside another function.

i.e. it is a process of using the output of one function as the input for another.

Thus, the correct option is  C.

The required term:  Function composition

6(b+1)=8
Solve for x

Answers

Answer:

b = 1/3

Step-by-step explanation:

6(b+1)=8

Solving for b

Distribute

6b +6 = 8

Subtract 6 from each side

6b+6-6 = 8-6

6b = 2

Divide by 6

6b/6 = 2/6

b = 1/3

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