Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5.7% over the previous year. Write an exponential function, f(x), that models the tons of cherries produced by Cherry Hill Orchards x years after 2012.
A. f(x)=500(1.057)x
B. f(x)=50(1.057)x
C. f(x)=500(0.057)x
D. f(x)=500(1.57)x

Cherry Hill Orchards Produced 500 Tons Of Cherries During Their First Year Of Business, 2012. Since Then,

Answers

Answer 1

Answer:

your answer would be A f(x)=500(1.057)x

Step-by-step explanation:

Answer 2

The required exponential function, f(x), models the tons of cherries produced by Cherry Hill Orchards x years after 2012 is [tex]f(x) = 500(1.057)^x[/tex]. Option A is correct.

What is an exponential function?

An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where a is a constant (called the base of the exponential function) and x is the independent variable. In this function, the base a is raised to the power of x, resulting in an output value that grows or decays rapidly depending on whether the base is greater or less than 1.

Here,
The exponential growth model that can be used to represent the tons of cherries produced by Cherry Hill Orchards x years after 2012 is:

[tex]f(x) = 500(1.057)^x[/tex]

Here, 500 represents the initial tons of cherries produced by the orchard in 2012 and [tex](1.057)^x[/tex] represents the annual increase in production, compounded annually.

Therefore, the correct option is (A) [tex]f(x) = 500(1.057)^x[/tex].

Learn more about exponential function here:

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Related Questions

Gina started with the circle (x−2)2+y2=16. She translated it 4 units left and 1 unit down. Then she reduced the radius by 1 unit. What is the equation of her new circle?

Answers

Answer:

(x + 2)² + (y + 1)² = 9

Step-by-step explanation:

Gina started with a circle with the given equation as,

(x - 2)² + (y - 0)² = 16

Since, standard equation of a circle is,

(x - a)² + (y - b)² = r²

Here (a, b) is the center of the circle and 'r' is the radius.

Therefore, from the given equation of the circle,

Center of the circle → (2, 0)

Radius of the circle → √16 = 4 units

She translated this circle 4 units left and 1 unit down.

Rule for the new center after translation will be,

(x, y) → (x - 4, y - 1)

(2, 0) → (2 - 4, 0 - 1)

         → (-2, -1)

Coordinates of the new center → (-2, -1)

Then she reduced the radius by 1 units.

Therefore, radius of the new circle = 4 - 1 = 3 units

Now we substitute these values in the standard equation of the circle to get the equation of the new circle.

(x + 2)² + (y + 1)² = 3²

(x + 2)² + (y + 1)² = 9

Please help me in this and I’ll mark you BRAINYLEST

Answers

Step-by-step explanation:

Given

[tex]3 {x}^{2} \times 4 {x}^{5} \\ = 12 {x}^{2 + 5} \\ = 12 {x}^{7} [/tex]

Hope it will help :)❤

Answer:

12x^7

Step-by-step explanation:

3x^2(4)x^5

=3*x^2*4*x^5

=12*x^7

=12x^7

Please give brainlist!

Help please thank you!! :)

Answers

Answer:

Area of circle: 1662.57 cm

Circumference of circle: 144.57 cm

Step-by-step explanation:

Formula of area of circle:

pi x r2 or radius x radius

So, it's 22/7 x 23 x 23 = 1662.571429

Formula of circumference of circle:

2 x pi x radius OR

pi x diameter

Let's use the second method, to find diameter it is radius x 2 = 46

So,

46 x 22/7 = 144.5714286

HELLLP MEEEE PLEASE FIND THE HEIGHT

Answers

Answer:

The correct answer is 5 units

the height is 4 because the height is the dashed line inside of the triangle

Kaylee made a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 5 feet. If the backyard deck is 7 inches in the drawing, how wide is the actual deck?

Answers

Answer:

35 feet

Step-by-step explanation:

if 1 inch = 5 feet

if the scale drawing is 7 inches, the width of the deck = 7 x 5 = 35 feet

find the perimeter and area of rectangle JKLM. K(1,5) L(4,2) M(2,0) J(-1,3)

Answers

Answer:

perimeter: 10 units

area: 6 square units

Step-by-step explanation:

within the picture point J and point M seem to be 3 units are.

with this assumption, with can infer that both parallel sides are 3 units giving us 6 units for both sides

we can as well as tell that point J and point K seem to be 2 units apart.

with this info we can infer that both parallel sides will be the congruent lenght. which will add up to 4

thus giving us the equation for the area

6 + 4 = (10 units) for the perimeters

for that area we will then do 3 units by 2 units

(3 units for the assumed length and 2 units for the assumed width)

giving us the equation 3×2 = (6 square units)

hi can someone please help

Answers

Answer:32

Step-by-step explanation:

Given that 1 inch=2.54 cm how many centimeters are there in 6 feet

Answers

Answer:

182.88

Step-by-step explanation:

I hope this helped

algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in picture

Answers

Answer: 7x^2 + x + 3

7x^2+x+3 this is what I got

Pls help me with this text thing i need the answers :O PLS I NEED IT NOW HELP

Answers

Answer:

1. d.9

2.

3.

Step-by-step explanation:

that is the only one I know sorry

emile will use less than 1/2 cup of sugar for a recipe what fraction might emile use?

Answers

Answer:

1/4, 1/8, 1/5, *Actually there are a lot of possibilities.*

Step-by-step explanation:

Answer:

She could use 1/3, 1/4, 1/5...

Step-by-step explanation:

I think the question is asking you for fractions smaller than 1/2, but Im not sure. Sorry if this wasnt the answer you were looking for.

Rmember that the bigger the denominator (bottom number), the smaller the fraction.

Three bags of chips and sodas cost $12.50. Four bags of chips and two sodas cost $10.00. What is the cost of each item? ASAP pls!

Answers

Step-by-step explanation:

3c + 3s = 12.50

4c + 2s = 10.00

3S = 12.50-3c

s = 4.17 - c

4c + 2 (4.17-c) = 10.00

2c + 8.34 = 10.00

2c = 1.66

chips = 0.83

soda = 3.34

Which expression can be used to model the phrase "the sum of three and a number"? O 3 + x O x minus 3 O 3 minus x O x times 3

Answers

Answer:

3 + X

Step-by-step explanation:

Is your aljebra expression.

Answer:

the answer is a

Step-by-step explanation:

An investment of 4,000 earns 2% interest compounded annually. What will be value of the investment in 7 years

Answers

Start with your exponetial growth formula: y = a(1 + r)^t.

Now, a is going to be your initial amount, r is the rate, and t is the time.

So we have y = $4,000(1 + .02)^7.

Now simplify inside the parenthses first.

So we have y = $4,000(1.02)^7.

Simplifying further gives us y = $4,000(1.14868).

Now use a calculator to get y = $4,594.72

Evaluate: -67.8 − 5.72

Answers

This is the answer -73.52

help ASAP ill mark brainliest. The answers are the 4 other images attached

Answers

Answer:

Step-by-step explanation:

The can find this my matching each number of the chart with each diagram

It can't be the first one because the 17-19 isn't on 8, it is on 4

It can't be the second one because the 20-22 isn't on 7, it is on 9

It is the third one because all the number on the chart is matching with the numbers on the diagram

It can't be the fourth one because the 17-19 isn't on 8, it is on 4

Solve for x please and thank you.

Answers

Answer:

x=23.346 hope this helps

Find AC please and thank you.

Answers

Answer:

AC=AB+BC

=3X+1+9

=3X+10

Find the measures of the numbered angles in rhombus ABCD.

Answers

Answer:

∠1 = 66°

∠2 = 24°

∠3 = 24°

∠4 = 90°

Step-by-step explanation:

∠1 = 90 - 24 = 66°

∠2 = 24°

∠3 = 24° because segment DB bisects ∠ABC

∠4 = 90° because it is a right angle

Which best describes the relationship between association and causation?​

Answers

Answer:the existence of an association does not empty a causation

Step-by-step explanation:

a direct casual link cannot be inferred the association merely suggests a hypothesis such as a commom cause but does not offer proof

If 8 bottles of cold drink is Rs.480. Then find a) What will be the cost of 5 bottles of cold drink? B) How many bottles of cold drink can be purchased for Rs.640.

Answers

Answer:

(A) 300

(B) 11

Step-by-step explanation:

8 bottles of drink cost 480

Therefore one bottle will cost

= 480/8

= 60

(A) 5 bottles of cold drink will cost

= 60×5

= Rs300

(B) The bottles of drink that can be purchaseed at Rs640

= 640/60

= 11 bottles

Yo, the grading period is over this Thursday, please answer this I'm really trynna finish my work, and ii really don't understand this. I will give the brainliest to the person who gets the most right answers. Serious answers only please thank you!

Answers

Answer:

Step-by-step explanation:

1

4n<44

n<11

2

n/-3 [tex]\geq[/tex]9

n[tex]\leq[/tex]-27

3

5n>-40

n>-8

4

6n[tex]\geq[/tex]18

n[tex]\geq[/tex]3

I need help ASAP , State whether set of ordered pairs represent a function
{(-13,4) , (7,-15), (-13,9) (6,-12) (-18,0)

Answers

Answer:

No, the given set of pairs does not represent a function

Step-by-step explanation:

For a set of values to be a function, each input must have one and only one output value

Now, for the given set, we can note that:

The input -13 has two output values; 4 and 9

Therefore, this set is not a function

Hope this helps :)

HELP ME PLZ PLZ PLZ

THX

Answers

The answer is D (2,016 square inches)

1/3x^2 by -2/9x divide it ​

Answers

the answer is -3x^3/2

The value of k lies between 2.2 and 2.3.
Select all possible values of k.
1.49
4.8
5
5.04
5.3
6

Answers

Answer:

None of them are possible because none of them lie between 2.2 and 2.3.

Answer:

its 5.04 and 5

Step-by-step explanation:

       

Solve for x in the diagram below.
3x
100°
2

Answers

Answer:

20 degrees

Step-by-step explanation:

The line has a total of 180 degrees. So, x+100+3x=180. Then, we subtract 100 from both sides to get x+3x=80. Then, x+3x=4x. So, 4x=80 degrees, and so divide by 4 on both sides and you get x=20 degrees.

Mr . Oliver purchased 20 baseball cards for $5. a. Find the unit rate per dollar . b. Find the unit rate per card .

Answers

The unit rate per card is 4
a. 4 cards per dollar
b. $0.25 per card

Archer wants to find the average number of the 25,000 passengers on a national airline that check one item of luggage. He
randomly selects 1,000 passengers in his home state of North Carolina who flew in the past year, and he found that 70% of the
passengers checked one item of luggage. What assumption can be made regarding the proportion of all the passengers who check
one item of luggage?

Answers

Answer:

An assumption can be made that 70% of 25000 passengers will check one item of luggage

Step-by-step explanation:

Answer in terms of A and B

Answers

P(0,2b)
S(0,-2b)
Q(a,2b)
R(a,-2b)
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