Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine the percentage rate of growth.An exponential graph has Time in Years on the x-axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma fifteen and passes through four comma seventy-five.a. 1.5%b. 5%c. 50%d. 0.5%

Answers

Answer 1

Applying the points given, it is found that the growth rate of the exponential function is:

c. 50%

An exponential function has the following format:

[tex]y = a(1 + r)^x[/tex]

In which:

a is the initial value, that is, the value of y when x = 0.r is the growth rate, as a decimal.

In this problem:

The curve begins at (0,15), thus a = 15.It passes through (4, 75), which means that when [tex]x = 4, y = 75[/tex], and this is used to find r.

[tex]y = a(1 + r)^x[/tex]

[tex]75 = 15(1 + r)^4[/tex]

[tex](1 + r)^4 = 5[/tex]

[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]

[tex]1 + r = 1.4953[/tex]

[tex]r = 1.4953 - 1[/tex]

[tex]r = 0.4953[/tex]

Thus, approximately 50%, option c.

A similar problem is given at https://brainly.com/question/23416643

Answer 2

Answer:

50% is the correct answer

Step-by-step explanation:

I took the test.


Related Questions

explain step by step please and thanks

Answers

Answer:

B

Step-by-step explanation:

5(h)=w+8. get rid of 5 by multiply

5h=w+8

w=5h-8

helpppppppp plzzzzzzzzzzzzzzzzz (ANSWER ONLY IF YOU KNOW)

Answers

Answer:

1/7 ( a+1 )

Step-by-step explanation:

1/7a + 1/7

1/7 ( a+1 )

The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?

a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm

Answers

Answer:

12cm

Step-by-step explanation:

h = 2b + 4

Area = 168 cm²

b = ?

Area = b*h / 2

168 = b (2b + 4) / 2

168 = 2b² + 4b/ 2

168 = b² + 2b

b² + 2b - 168 = 0

(b + 14) (b - 12) = 0

b = -14

b = 12

The base of a triangle cannot be -ve. So b = 12cm



You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you

want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents

the pre-tax price of a pair of pants that you can afford if you buy the drink? *


X + 0.04x + 1.50 > 60

X + 0.04x + 1.50 2 60

X + 0.04x + 1.50 60

X + 0.04x + 1.50 60

Answers

Answer:

X + 0.04x + 1.50 > 60

Step-by-step explanation:

Write −1.5⎯⎯ as a mixed number in the simplest form.

Answers

Answer:

1 1/2

Step-by-step explanation:

to Express 1.5 as a fraction,we need to write the given decimal number in the x/y form, where c and y are the positive integers

20 oz.
4. The sum of 2 numbers is 40. The ratio of the bigger to the smaller number is 3:2. What is the smaller
number?

Answers

Answer:

16

Step-by-step explanation:

40 = 3:2 x

Then, you know that 3+2 = 5

so, x = 40/5

x=8

Now, you multiply x by 2 to get 16

16

Please help with showing the points in the table

Answers

Answer:

attached

Step-by-step explanation:

Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc

An isosceles triangle is shown. Which two angles must be congruent? A) ∠H ≅ ∠J B) ∠I ≅ ∠J C) ∠I ≅ ∠H D) Cannot be determined

Answers

Answer:

If the triangle has a flat bottom and a pointy top the bottom two angles are congruent

OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help

Answers

Answer:

Step-by-step explanation:

70% or more 70% is most likely a b-

Simple math.
Question 11.

Answers

Answer: By 9.1%

Step-by-step explanation:

Answer:

8.3333....

Step-by-step explanation:

275/300=1/12

1/12=0.083333...

0.083333...=8.3333%

Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480. What was the total cost?

Answers

So you add 480 plus 24 in sales tax then you add 96 for the tip and if you add them all together you should get 600$

The amount of the sales tax and tip is $96 and $24, then the total cost of the dinner will be $600.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480.

Then the cost of the sales tax will be

→ 0.05 × 480 = $24

Then the amount of the tip will be

→ 0.20 × 480 = $96

Then the total cost of the dinner will be

→ $24 + $96 + $480 = $600

More about the percentage link is given below.

https://brainly.com/question/8011401

Select the better deal in the pair. Then give the unit rate for the better deal.

$272/
8 g
or
$369/
9 g

Answers

Answer:

The better deal is $272/ 8 g

369/9=41 per gram

272/8=34 per gram

Allow me to know if this helped by clicking thank you, brainly or rate.

<3 Miss Hawaii

Use a number line to show your work as you find the value of each expression
a. -5 + 3.25
b.3.18+(-7)

Answers

For  -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75

Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82

For the expression -5 + 3.25

The number line contains both negative and positive values. negative numbers are to the left of the line while positive values are to the right of the line

For  -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75

Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82

Learn more here: https://brainly.com/question/15816805

plzzzzzzzzzzzzzzzzzzz helppppp

Answers

Answer:

15

Step-by-step explanation:

I'm not sure, but find out the coordinates of the two points, and then find the slope between them.

Answer is 15 . But this realy not true

Find the unit rate for this situation. Please DO NOT use any extra spaces or

symbols. Simply type in the number amount.

Answers

Please GIVE US the problem you want us to answer

Amanda can jog 181818 miles in 555 hours.
At this rate, how many miles can Amanda jog in 444 hours?

Answers

Answer:

145454.4

Step-by-step explanation:

Divide 181818 by 555, then multiply the answer by 444.

What did I do wrong 1st person answer get brainlist

Answers

Answer: you got the subtracted wrong.

Step-by-step explanation: 115 - 101 = (14)

you said 13

what is 34÷6837 show ur work​

Answers

Answer:

Step-by-step explanation:

  If you're allowed to use a calculator, type in 34, the division symbol, 6837, and finally enter:

  34 / 6837 = 0.00497

Answer:

0.00497294135

Step-by-step explanation:

I need help on this 8th grade math this is due tomorrow.

Answers

Answer:

u²=6.25p²=5

Step-by-step explanation:

Raise 2.5 to the power of 2 =

6.25

Pull terms out from under the radical, assuming positive real numbers =

5

evaluate 2/6 + 1/3 + 1/2 = ?​

Answers

Answer:

2/6 + ⅓ + ½

= (2+2+3)/6

= 7 / 6

= 1⅙

Step-by-step explanation:

brainliest plz

Answer:

1  1/6

Step-by-step explanation:

Find the common denominator for 6, 3, 2

6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.

Convert all the fractions into sixths.

The first fraction is already done.

1/3.....  the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.

1/3 x 2/2 = 2/6

1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.

1/2 x 3/3 = 3/6

Now you have

2/6 + 2/6 + 3/6 = 7/6

Simplify the answer

6/6 = 1  so remove 6/6 from 7/6 and you are left with just 1/6

So your answer will be 1 and 1/6  or  1  1/6

A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every
machine he sells. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.

Answers

Answer:

$40,000 + $300x

Step-by-step explanation:

If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.

Answer: $40,000 + $300x

Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spends, which symbol can be used to complete the inequality below to represent this situation?

18.45 blank 3 + h
>
<
Greater-than-or-equal-to
Less-than-or-equal-to

Answers

Answer:

>

Step-by-step explanation:

28.45 >3+hgydnjsjsjjsjkso

Can you Helppp please

Answers

To have infinite solutions both equations need to be equal

Since they subtract 5 from the right side, subtract 5 from the left side.

X is multiplied by 1/2 on the left , so multiply x by 1/2 on the right side.

1/2x -5 = 1/2x-5

Steve leaves the corner of First and Maple on his bicycle and travels an average speed of 9 mi/hr. Two hours later,his brother leaves from First and Maple, following him on a moped traveling 27 mi/hr. How long will it take him to catch up with steve?

Answers

Answer:

Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.

Step-by-step explanation:

need help pleeeeeeeeeease

Answers

I say try adding all the sides together or multiplying

Answer:

60 square km

Step-by-step explanation:

First, seperate the figure into two as a rectangle and a trapezium by drawing a line from the vertex between the lines which are 8km and 5km long until it reaches the line on the bottom. (11km) Then, find the area of the rectangle by multiplying 8 by 6, which gives an answer of 48 square km. Then, find the area of the trapezium using the equatiuon 1/2 (a+b) h. Here, a and b are the two parallel lines of the trapezium, which are the lines 2km and 6 km long, and h means the perpendicular height which is 3km long (by substracting 8 from 11, you get 3). you get the answer as 12 square km. finally, add up 12 and 48 to get 60 square km.

A cube has an edge length of 21 cm. What is the volume?
o 212 cm3
o 6 x 21 cm
o 213 cm
o 3x21 cm3

Answers

Answer:

Step-by-step explanation:

Volume = 21^3 cm^3.

Little help, please?

Read the following quote from Mark Twain: "It should, it seems to me, be our pleasure and duty to make those
people free, and let them deal with their own domestic questions in their own way. And so I am an anti-imperialist. I
am opposed to having the eagle put its talons on any other land."

In a short paragraph, reflect on how this quote represents the anti-imperialists' point of view. What is the impact of
Twain's use of the metaphor of the eagle and its talon? Type your response in the box below.

Answers

Answer:

Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.

edmentum

Answer:

Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.

Step-by-step explanation:

At town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?

Answers

Answer:

the answer will be 14708

Answer:

14708

Step-by-step explanation:

Apply the formula:

Amount at time t in years =

(Starting amount)(1 + yearly per cent increase)^(Number of years) =

(13,000)(1 + 2.5%)^5 =

13000(1.025)^5 =

14708.3067676 =

14708, to the nearest whole number.

guys pls help me!!!!!

Answers

X should be 54 because of alternate angles
Hope this helps :)
Tell me if I’m wrong

Pls help me I’m so lost

Answers

Answer:

5

Step-by-step explanation:

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