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olya-2409 [2.1K]

3 years ago

7

Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase o

r decrease per time period.
y=100(1.05)^t

Plz help!

1 answer:

MArishka [77]3 years ago

4 0

See also brainly.com/question/8975313

The growth factor is 1.05.

The increase is (1.05 -1)*100% = 5% per period.

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2. A museum has an admission fee of $14 and averages 300 visitors per day. The museum board

dlinn [17]

Answer:

The answer to the questions asked is:

a) The maximum possible income for the museum is $4,840 per day.

b) The increase you must make to obtain the maximum income is $8 per ticket.

c) The income of the museum without increasing the fee is $4200.

Step-by-step explanation:

To solve all the questions asked, we must take into account the provided equation:

<u>R = -10x2 + 160x + 4200 </u>

The first question asks for the maximum income, that is, the maximum amount of money that can be obtained by making increases in the rate, despite the loss of people, so you must replace the X in the equation with values until instead of increase decrease:

R = -10 (1) 2 + 160 (1) + 4200 = 4350
R = -10 (2) 2 + 160 (2) + 4200 = 4480
R = -10 (3) 2 + 160 (3) + 4200 = 4590
R = -10 (4) 2 + 160 (4) + 4200 = 4680
R = -10 (5) 2 + 160 (5) + 4200 = 4750
R = -10 (6) 2 + 160 (6) + 4200 = 4800
R = -10 (7) 2 + 160 (7) + 4200 = 4830
<u>R = -10 (8) 2 + 160 (8) + 4200 = 4840 </u>
R = -10 (9) 2 + 160 (9) + 4200 = 4830

As you can see, when the increase is $9, the income falls, so <u>the maximum income is $4,840, while it can be seen that it occurs with an increase of $8, which answers the second question</u>.

For the third question, that is, the income of the museum without increasing the fee, you must remember that the variable X is the increase in the fee, therefore, if you want to obtain the income without an increase, it must be given a value of zero to the variable inside the equation, with which we obtain:

<u>R = -10 (0) 2 + 160 (0) + 4200 = 4200</u>

3 0

4 years ago

a city ordinance requires that more than 75% of its residents must agree to the construction of new public buildings (using tax

mestny [16]

The value of the standardized test statistic for this significance test is 1.7265

Standardized test statistic

In statistics, the standardized test statistic means a way for you to compare your results to a “normal” population.

Given,

A city ordinance requires that more than 75% of its residents must agree to the construction of new public buildings (using tax dollars) before any such structures can be built. a proposal has been made to build a new recreational facility in the city, and sponsors of the proposal want to conduct a small survey to see if it would be approved if put to an official vote of all residents. a simple random sample of 150 residents revealed that 123 supported a change (and 27 did not).

Here we need to find the value of the standardized test statistic for this significance test.

While we looking into the given question we have identified the following values,

Random samples = 150

Supported values = 123

Not supported = 23

Aggreged percentage = 75%

So, the null and alternative hypotheses were as follows: H0: p = 0.75 and Ha: p ≠ 0.75.

Then the value of Standardized test statistic is calculated as,

=> (150 - 123) / (75 / √23)

=> 1.7265

To know more about Standardized test statistic here

brainly.com/question/16695849

#SPJ4

4 0

1 year ago

Can someone help me (Geometry)

Vesnalui [34]

$x+x+4=72\\\\\Rightarrow2x=68\\\\\Rightarrow x=34$

4 0

3 years ago

Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440

Alborosie

Answer:

<h2>$400</h2>

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

<em>Hence the amount Mr Noel originally borrow is $400</em>

5 0

3 years ago

What is the answer to 12,8,10,6

maw [93]

Q1) From 12 m to 18 m

It is a percentage increase

Percentage change = (18-12)/12 × 100

= 6/12 × 100

= 50%

Q2) From 27 days to 30 days

It is a percentage increase

Percentage change = (30-27)/27 × 100

= 3/27 × 100

= 11.1%

Q3) From $48.50 to $38.80

It is a percentage decrease

Percentage change = ($48.50 - $38.80)/48.50 × 100

= 9.7/48.50 × 100

= 20%

Q4) From 25 lb to 12 lb

It is a percentage decrease.

Percentage change = 25-12/25 ×100

= 13/25 × 100

= 52%

Q5) from 10mm to 3mm

it is a percentage decrease.

Percentage change = (10-3)/10 ×100

= 7/10 × 100

= 70%

Q6) From $875 to $1000

It is a percentage increase.

Percentage change = (1000-875)/875 × 100

= 125/875 ×100

= 14.3%

Q7) from $18.1 to $22.50

It is a percentage increase

Percentage change = (22.50-18.10)/18.10 × 100

= 4.4/18.10 × 100

= 24.3%

Q8) From 32 people to 3040 people

It is a percentage increase.

Percentage change = (3040-32)/32 × 100

= 3008/32 × 100

= 9400%

Q9) From 28 stray cats to 5 stray cats.

It is a percentage decrease.

Percentage change =(28-5)/ 28 × 100

= 23/28 × 100

= 82%

Q10) From 12 words to 90 words.

It is a percentage increase.

Percentage change = (90-12)/12 × 100

= 78/12 ×100

= 650%

Q11) From 47 mph to 35 mph

It is a percentage decrease

percentage change = (47 - 35)/47 × 100

= 13/47 × 100

= 25.5%

Q12) From 8 computers to 15 computers

It is a percentage increase

percentage change = (15-8)/8 × 100

= 7/8 × 100

= 87.5%

4 0

3 years ago