Mathematics College

A park started with 12 oak trees, and the number of oak trees increased at a rate of 25% each year. Write the function that models the situation, substituting numerical values for A and r into the expression.


f(x)=A(1+r)X

Answers

Answer 1

Answer:

[tex]f(x) = 12(1.25)^{x}[/tex]

Step-by-step explanation:

The number of oak trees after x years is given by a function in the following format:

[tex]f(x) = A(1+r)^{x}[/tex]

In which A is the initial number of oak trees, and r is the growth rate, as a decimal.

A park started with 12 oak trees

This means that [tex]A = 12[/tex]

The number of oak trees increased at a rate of 25% each year.

This means that [tex]r = 0.25[/tex]

So

[tex]f(x) = A(1+r)^{x}[/tex]

[tex]f(x) = 12(1+0.25)^{x}[/tex]

[tex]f(x) = 12(1.25)^{x}[/tex]

Related Questions

The angle of elevation to an airplane viewed from the control tower at an airport is 15°. The tower is 100 feet high and Pilot Cory reports that the altitude of the airplane is 5100 feet (5000 feet higher than the control tower). How far away (ground distance) from the control tower is the airplane?

Answers

Answer:

Given: Angle of elevation 15°AB (height of tower)=100AE=?CE = 5100 (5000 feet heigher than the tower)

Now,

tan15°=

[tex] \frac{5100}{ae} [/tex]

ae=

[tex] \frac{5100}{tan15} [/tex]

.: ae = 19033.45

.: the aeroplane is 19033.45 m away from the control tower.

A)
lo
Absolute value of 8/7,-8/7

Answers

Answer:

8/7, 8/7

Step-by-step explanation:

The difference of ten and a number

Answers

Answer:

Difference is the result of subtracting one number from another. ... So, difference is what is left of one number when subtracted from another. In a subtraction equation, there are three parts: The minuend (the number being subtracted from) The subtrahend (the number being subtracted)

Step-by-step explanation:

Which choices are common factors of the numerator and denominator of the
fraction below? Check all that apply.
6/24

A.2
B.12
C.3
D.4
E.1
F.6

I need help guys

Answers

Answer:

2, 3, 6, 1

Step-by-step explanation:

common factors of 6 are 1, 2, 3, 6

common factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

so both 6 and 24 have common factors of 1, 2, 3, 6

Frank is going to plant y vegetable seeds in one garden and 2y + 10 vegetable seeds in another.
How many seeds is Frank going to plant?
Frank is going to plant blank seeds.

Answers

Answer:

[tex] 3y + 10 [/tex]

Step-by-step explanation:

The total number of seeds Frank will plant in both gardens all together would be:

[tex] y + 2y + 10 [/tex]

Add like terms together to simplify the expression

[tex] 3y + 10 [/tex]

Frank is going to plant [tex] 3y + 10 [/tex] seeds

Is the relationship linear, exponential, or neither?
Choose one answer.

Answers

Answer:

Linear

Step-by-step explanation:

Both top and bottom are going up at a constant rate

x is going up by 9 and

y is going up by 7

HELP MIDDLE SCHOOL QUESTION

Answers

Answer:

Step-by-step explanation:

21/25

i just had this question a couple days ago lol

Answer:

thx for the points thats what you get for not answering my question properly and stealing points

Step-by-step explanation:

A leaf is falling from the top of a tree. The height of the leaf in feet, y, can be found using the function y = -3.5x + 28, where x is the time in seconds the leaf has been in the air. How many seconds did it take the leaf to reach the ground?​

Answers

Answer:

It took 8 seconds for the leaf to reach the ground.

Step-by-step explanation:

The height of the leaf in feet can be found using the function:

y = -3.5*x + 28

where x is the time in seconds the leaf has been in the air.

You want to know how long it took for the blade to reach the ground. That is, the time it took for the blade to reach a height of 0 feet. So, replacing this value in the expression:

0= -3.5*x + 28

and solving you get:

-28= -3.5*x

(-28)÷ (-3.5)=x

8=x

It took 8 seconds for the leaf to reach the ground.

A 3-foot-wide wood deck will be built around a rectangular-shaped pool that measures 15 feet by 30 feet. The resulting shape is also rectangular. If the lumber costs $10 per square yard, If the lumber costs 10 dollars per square yard, what is the cost of the wood for the deck?

Answers

Answer:

$340

Step-by-step explanation:

We are told that the pool measures 15 feet by 30 feet,

Since the cost of the wood around it is per yards, let's convert this measurement to yards.

15 ft = 5 yards

30 ft = 10 yards

The deck is 3 ft wide. Converting to yards it is 1 yard.

Since the deck is round the pool, it means when we add it to the pool dimensions, we now have a dimension of; width: 7 yards by length: 12 yards

Thus, total area of pool and deck is;

A_t = 7 × 12 = 84 Sq.yds

Area of only pool is;

A_p = 5 × 10 = 50 Sq.yds

Finally, area of the deck will be;

A_d = 84 Sq.yds - 50 Sq.yds = 34 Sq.yds

We are told that the costs of the wood is $10 per Sq.yds

Thus, total cost is;

C = 10 × 34

C = $340

Write the equation of the exponential function using two points. (-3,8)(0,1)​

Answers

Answer:

m= −7/3

(x1,y1)=(−3,8)

(x2,y2)=(0,1)

Use the slope formula:

m=

y2−y1

x2−x1

=

1−8

0−−3

=

−7

3

=

−7

3

which equation is parallel to the line y= -5/7x - 7

Answers

Answer:

5x + 7y = -42

Step-by-step explanation:

This question will be a little easier to answer if we change the form of the original equation from slope intercept to standard form:

[tex]y=(-5/7)x-7\\(5/7)x+y=-7\\5x+7y=-49[/tex]

All parallel lines have the same slope, but what does that mean when our equation's in standard form. Well, slope only depends on the coefficients of the x and y terms, so any equation of a line in standard form with 5x + 7y on the left side will be parallel to the one in the problem. Looking through the possible choices, B. 5x + 7y = -42 is the only one that works.

Using desmos to check our work, we can see that the two lines are actually parallel!

I need help converting 3/5 into a decimal​

Answers

Answer:

0.6

Step-by-step explanation:

oki so to make it easier, you can convert 3/5 to 60/100

60 out of 100 is 0.6

Hope this helps! :D

What is area of circle that has circumference of 12pi

Answers

Answer:

36pi

Step-by-step explanation:

Since the formula for the circumference is C=2*pi*r

12pi=2*pi*r we can divide and get r=6 cm

Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi.

Please look at picture

Answers

6x - 7 = 4x + 7
2x = 14
x = 7

The answer is 7

Which situation is modeled by the graph? PLEASE HELP!

Answers

Answer:

Height of jump rope used over time.

Step-by-step explanation:The Height is stable and even so not an elevator as it goes to multiple floors not just one and is not used frequently after the same amount of time.Not the rest for the same reason.Jump rope as it can be uniform in height and time unlike the rest.

I believe it’s the first one

PLEASE HELP I WILL GIVE BRAINLIEST!!!

5. find the measure of each indicated angle show your work

Answers

Answer: a=126, b=134, c= 110, d=146, e=46

Step-by-step explanation:

so for a you take 180-54 and that gives you A

for b you take 33,70,and A(126) and add them together then subtratct by 360 and you get b for d you take 180-33 and get 146 for c you take 180-70 and get 110 and for e you take 180 - 134(B) and you get tha answer to e

Equation 1:
X-3 = 2-4x
Which of these have the same solution as Equation 1?
Explain your reasoning.
Equation A:
2x-6 = 4-8x
Equation B:
X-5 = -4x
I
Equation C
2(1-2x) = x-3
Equation D:
-3 = 2-5x

Answers

Answer:

since equation 1 says that X= 1

any other equation saying x=1 will be valid!

Equation A

Equation B

Equation C

Equation D

all correct

H(x)= -x^2+8 use (-6)

Answers

Answer:

H=44

Step-by-step explanation:

−(−62)+8=−(−36)+8=36+8=44

Answer:

-28

Step-by-step explanation:

-x^2+8

-(-6)^2 + 8 (-6 to the 2 power)

-36 + 8

-28

"The Kid Laroi"- Rapper-Songwriter


If the area of a rectangle is 30 cm what can the possible length and breadth of the rectangle be?
(Hint: The area of a rectangle = length x breadth)

Answers

Answer:

The length could be 6, 10, or 15 and the breadth; 5, 3 and 2 respectively

This is because, length x breadth = area

6x5=30

10x3=30

15x2=30

What is the slope of the equation y- 5 = -3x?

Answers

Answer:

-3

Step-by-step explanation:

y=mx+b

m is slope

Answer:

-3 would be the correct answer

Cedric lives in an apartment and pays the following expenses each month: electric bill, $33.90; TV streaming service, $24.99; and rent, $538.95. Estimate his total expenses for the month by first rounding each value to the nearest tens place.

Answers

Answer:

Chyba 600,90zł

Step-by-step explanation:

Simplify the expression (10x + 12 - 3x) by combining like terms.

Answers

Answer:

7x+12

Step-by-step explanation:

You do 10x-3x since they both have the x variable they can be combined to make 7x and the 12 is left alone.

Answer:

7x + 12

Step-by-step explanation:

irs gonna go like

10x -3x =7x

and the answer is

7x+12

You have $4.10 and would like to buy some almonds .if a pond costs $8, how many ounces can you buy ?

Answers

Answer:

well- you cant buy any pounds-

Step-by-step explanation:

Pls help this is due in 15 minutes I’ll brainlest for the right answer

Answers

- increase

because 80 is greater than 50.

50 - 80

----------- = 30/50 = 0.6

  50

answer:

- the change is an increase by 60%

Answer:

increase of 60%

Step-by-step explanation

The change from 50 to 80 is an increase of 30

To calculate percentage increase

[tex]\frac{change}{original}[/tex] × 100%

= [tex]\frac{30}{50}[/tex] × 100%

= 60% increase

(4/52) x (3/51) =================

Answers

Answer:

Step-by-step explanation:

4/52 times 3/51=1/221

can someone help me please ​

Answers

Answer:

14c + 21d - 42

Step-by-step explanation:

You have $4.10 and would like to buy some almonds .if a pond costs $8, how many ounces can you buy ?

Answers

Answer:

Step-by-step explanation:

we know that 1 lb=16oz

16 oz almonds = costs 8 dollars , we divide the cost to oz

8/16=0.5 dollars / oz

4.10/0.5=8.2 oz

for 4.10 dollars you buy 8.2 oz

pls ANSWER if you actually know the answer​

Answers

No they are not equivalent

Answer:

The rate's aren't equivalent.

Step-by-step explanation:

If you find a common number of hours between the two expressions such as 24 hours you will see that the pay isn't the same. $24 for 6 hours of work ($4:1hr) can be turned into $96 for 24 hours of work and $36 hours for 8 hours of work ($4.5:1) turns into $108 for 24 hours of work.

2
Select all the correct answers.
HELP PLS! ASAP
Which expressions are equivalent to this exponential expression?








Answers

the 2nd choice is the correct answer

Answer:

A and C

Step-by-step explanation:

Find the inverse of f (x) = x + 2 + 9

Answers

Answer:

y = x - 11

Step-by-step explanation:

First, turn the f(x) into a y:

y = x + 2 + 9

Now, switch the x and y.

x = y + 2 + 9

Add like terms.

2  + 9 = 11

x = y + 11

Now, solve for y. Subtract 11 on both sides.

y = x - 11

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