A large company put out an advertisement in a magazine for a job opening. The first day the magazine was published the company got 70 responses, but the responses were declining by 10% each day. Assuming the pattern continued, how many total responses would the company get over the course of the first 23 days after the magazine was published, to the nearest whole number?

Answers

Answer 1

The company would receive around 358 responses in total during this period, assuming the pattern of a 10% decline in responses each day continues.

To determine the total number of responses the company would receive over the course of the first 23 days after the magazine was published, we can use the information that the number of responses is declining by 10% each day.  Let's break down the problem day by day:

Day 1: 70 responses

Day 2: 70 - 10% of 70 = 70 - 7 = 63 responses

Day 3: 63 - 10% of 63 = 63 - 6.3 = 56.7 (rounded to 57) responses

Day 4: 57 - 10% of 57 = 57 - 5.7 = 51.3 (rounded to 51) responses

We can observe that each day, the number of responses is decreasing by approximately 10% of the previous day's responses.

Using this pattern, we can continue the calculations for the remaining days:

Day 5: 51 - 10% of 51 = 51 - 5.1 = 45.9 (rounded to 46) responses

Day 6: 46 - 10% of 46 = 46 - 4.6 = 41.4 (rounded to 41) responses

Day 7: 41 - 10% of 41 = 41 - 4.1 = 36.9 (rounded to 37) responses

We can repeat this process for the remaining days up to Day 23, but it would be time-consuming and tedious. Instead, we can use a formula to calculate the total number of responses.

The sum of a decreasing geometric series can be calculated using the formula:

Sum = a * (1 - r^n) / (1 - r)

Where:

a = the first term (70 in this case)

r = the common ratio (0.9, representing a 10% decrease each day)

n = the number of terms (23 in this case)

Using the formula, we can calculate the sum:

Sum = 70 * (1 - 0.9^23) / (1 - 0.9)

After evaluating the expression, the total number of responses the company would receive over the first 23 days after the magazine was published is approximately 358 (rounded to the nearest whole number).

Therefore, the company would receive around 358 responses in total during this period, assuming the pattern of a 10% decline in responses each day continues.

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Related Questions

find an equation for the paraboloid z=4−(x2 y2) in cylindrical coordinates. (type theta for θ in your answer.)

Answers

The equation of the paraboloid in cylindrical coordinates is equal to z = 4 - r².

How to convert a rectangular equation into a cylindrical equation

In this problem we find the equation of a paraboloid in rectangular coordinates, whose form in cylindrical coordinates must be found. This can be done by means of the following formulas:

f(x, y, z) → f(r, θ, z)

x = r · cos θ, y = r · sin θ, z = z

First, write the equation of the paraboloid:

z = 4 - x² - y²

Second, substitute all variables and simplify the expression:

z = 4 - r² · cos² θ - r² · sin² θ

z = 4 - r²

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Calculate the volume of this prism.
4 cm
10 cm
5 cm
8 cm
12 cm

Calculate the volume of this prism.4 cm10 cm5 cm8 cm12 cm

Answers




Step-by-step explanation:
Separate into two shapes with
then use fomula length * width * height
shape 1: 7*8*10=560cm^3
Shpe 2: 5*8*6 =240cm^3
Add the two shapes 560+240=800cm^3
Calculate the volume of this prism.4 cm10 cm5 cm8 cm12 cm

which of the following null hypothesis statistical tests require calculating degrees of freedom? group of answer choices all of the above two-sample t-test chi-squared one-sample t-test

Answers

The two null hypothesis that are correct answer are two-sample t-test and one-sample t-test.

Among the group of answer choices provided, the tests that require calculating degrees of freedom are the two-sample t-test and the one-sample t-test. Both of these tests belong to the t-test family and involve using degrees of freedom to determine the critical t-value.

In summary:
- Null hypothesis: The assumption that there is no significant difference between the sample and population or between two samples.
- T-test: A statistical test used to determine if there is a significant difference between the means of two groups or between a sample and population mean.
- Degrees of freedom: A value used in statistical tests that represents the number of independent values in a data set, which can affect the outcome of the test.

So answer is: two-sample t-test and one-sample t-test.

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The null hypothesis statistical tests that require calculating degrees of freedom are the two-sample t-test and the one-

sample t-test. The degrees of freedom are necessary to calculate the t-value for these tests. The chi-squared test also

requires degrees of freedom, but it is not a test for a null hypothesis.

The correct answer is: all of the above.

All these tests require calculating degrees of freedom:

1. Two-sample t-test:

Degrees of freedom are calculated using the formula (n1 + n2) - 2, where n1 and n2 are the sample sizes of the two

groups being compared.
2. Chi-squared test:

Degrees of freedom are calculated using the formula (rows - 1) * (columns - 1), where rows and columns represent the

number of categories in the data.
3. One-sample t-test:

Degrees of freedom are calculated using the formula n - 1, where n is the sample size.

The null hypothesis statistical tests that require calculating degrees of freedom are the two-sample t-test and the one-

sample t-test. The degrees of freedom are necessary to calculate the t-value for these tests. The chi-squared test also

requires degrees of freedom, but it is not a test for a null hypothesis.

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x^3+5x^2+3x+15 factor the polynomial

Answers

Answer:

(x+5) (x^2+5)

Step-by-step explanation:

x^3+5x^2+3x+15

Using factoring by grouping

x^3+5x^2     +3x+15

x^2(x+5)   + 3(x+5)

Factor out (x+5)

(x+5) (x^2+5)

Answer:

( x + 5 ) (x² + 3)

Step-by-step explanation:

x³ + 5x² + 3x + 15

factor out x²

x² ( x + 5 ) + 3x + 15

factor out 3

x² ( x + 5 ) + 3 ( x + 5 )

factor out x + 5 from the expression

( x + 5 ) (x² + 3)


Jason earns 5% commission as a salesperson. He sold a lawn mower that cost $90. How
much commission did Jason earn

Answers

Jason earns $4.50 as commission

Elizabeth has one third of her pizza left. She cut it into three equal slices. What is the angle measure of each of the three slices of pizza?

Answers

Answer:

40 degrees.

Step-by-step explanation:

A circle has a total of 360 degrees.

If a third of the circle remains, it will have one third that amount.

360 / 3 = 120

So 120 degrees remain.

If the remaining amount is cut into three slices, each slice will be one third of that amount.

120 / 3 = 40

Each slice has an angle measure of 40 degrees.

Jon bought a car that costs $2150. He paid $750 down and made a payment of $95 at the end of the first month. How much did he still owe? ​

Answers

Answer:

$1,305

Step-by-step explanation:

subtract how much he paid for the car with how much he paid down

2150-750=1400

then subtract that by the 95 dollars he paid off in the first month

1400-95=1,305

He still needs to pay off $1,305.

Hope this helps!!

is the point (-2,3) a solution to y<2x+1?

Answers

Answer:

No it is not

Step-by-step explanation:

Plug it in

3 < 2(-2) + 1

3 < -4 + 1

3 < -3

3 is not less than -3

What does A represent in "BA+AB+AB+CAA"

Answers

Answer:

that looks hard sorry i cant help you good luk .

Analyze the diagram below and complete the instructions that follow.

Find sin ZNOM.

Analyze the diagram below and complete the instructions that follow.Find sin ZNOM.

Answers

Answer:

sin NOM = 3/5

Step-by-step explanation:

sin NOM = opposite/ hypotenuse = MN/OM

OM² = 4² + 3² = 25

OM = √25 = 5

sin NOM = MN/OM = 3/5

Solve the following system of equations by substitution. Show all steps.
f (x) = -x^{2} + 2x +3
g (x) = -2x + 3

Solve the following system of equations by substitution. Show all steps. f (x) = -x^{2} + 2x +3 g (x)

Answers

Answer:

Given system of equations:

\(\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}\)

To solve by substitution, equate the equations and solve for x:

\(\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}\)

Therefore, the x-values of the solution are \(x = 0\) and \(x = 4\).

To find the y-values of the solution, substitute the found values of x into the functions:

\(f(0)=-(0)^2+2(0)+3=3\)

\(g(0)=-2(0)+3=3\)

\(f(4)=-(4)^2+2(4)+3=-5\)

\(g(4)=-2(4)+3=-5\)

Therefore, the solutions to the given system of equations are:

\((0, 3)\) and \((4, -5)\)

What is 2x(3+x2) when x = −2?

Answers

it would be -4 i think

come back and tell me if im wrong

A Chrome book is on sale for 30 % off the original price plus
10% sales tax. If the Chrome book originally price is $360.
What is the final sale price that you will pay for the Chrome
book?

Answers

Answer:

288

Step-by-step explanation:

because 20 percent off is 252 and adding the sales tax which is 36 so you get 288

last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d

Answers

Answer:

E. 1d+0.015d

G. 1.015d

Step-by-step explanation:

A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.

If three farmers share some bags of fertilizers in the ratio 3:4:5.if the smallest share is 18 bags.what is the largest share

Answers

Answer:

30

Step-by-step explanation:

Sum of the ratios = 3 + 4 + 5 = 12

Smallest share = 18 bags

Ratio of the smallest share = 3

Let the largest share = x

From the question

18 ------------ 3

x --------------5

Cross multiply

3x = 18 × 5

Dividing bothsides by 3

X = 18 × 5/ 3

X = 90 / 3

X = 30

Therefore.

The largest share = 30

Pls help I don’t have much time.

Pls help I dont have much time.

Answers

Answer:

Dude dont spend 100 points! This place is scamming people

Step-by-step explanation:

The top of the silo is a hemisphere with a radius of 11 ft. The bottom of the silo is a cylinder with a height of 38 ft. How many cubic feet of grain can the silo hold? Use 3.14 for pi and round your answer to the nearest cubic foot.

Answers

Answer:

17,224 ft^3 to nearest cubic foot.

Step-by-step explanation:

Volume of grain it can hold

= volume of hemisphere + volume of the cylinder

= 1/2 * 4/3 * 3.14 * 11^3 + 3.14 * 11^2 * 38

= 2786.23 + 14437.72

= 17223.95

Which of the following measures is not needed for constructing a box-plot?
A> First quartile
B. 50th percentile
C. 75th percentile
D. 95th percentile

Answers

The answer is D. 95th percentile is not needed for constructing a box-plot.

A box plot, also known as a box-and-whisker plot, provides a visual representation of the distribution of a dataset. It consists of several key measures, including the following:

A. First quartile (Q1): This is the 25th percentile, which marks the lower boundary of the box.

B. 50th percentile: This is the median, which is the middle value of the dataset when it is ordered from smallest to largest. It is represented by a line within the box.

C. 75th percentile (Q3): This is the upper quartile, marking the upper boundary of the box.

D. 95th percentile: This measure is not typically used in constructing a box plot. It provides information about the value below which 95% of the data falls, but it is not necessary for constructing the basic elements of a box plot.

Therefore, the correct answer is D. 95th percentile.

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The number of millions of people in a certain country who lived below the poverty level for the year can be modeled by y=0.008x2 -0.4518+46,888 where x is the number of years after 1990.
a. The vertax of the graph of this function is a:

Answers

The vertex of the graph of function y = 0.008x² - 0.4518 + 46,888 is a point at (0, 46,888). The  function models the number of millions of people in a certain country who lived below the poverty level.

The given function that models the number of millions of people in a certain country who lived below the poverty level for the year is:

y = 0.008x² - 0.4518 + 46,888

where x is the number of years after 1990. To find the vertex of the graph of this function, let us first convert the given function to the vertex form of a quadratic equation:

y = a(x - h)² + kWe

are given the function as:

y = 0.008x² - 0.4518 + 46,888

Comparing with the vertex form of a quadratic equation:

y = a(x - h)² + k

We get: a = 0.008,h = 0 and k = 46,888

Substituting these values in the vertex form of a quadratic equation, we get:

y = 0.008(x - 0)² + 46,888y = 0.008x² + 46,888

Now we can see that the vertex of the graph of the function

y = 0.008x² + 46,888 is at the point (0, 46,888).

Therefore, the answer is: The vertex of the graph of this function is a point at (0, 46,888).

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-2/3 + 0

Answer as soon as possible :))

-2/3 + 0Answer as soon as possible :))

Answers

Answer:

-2/3 + 0

= 2

– — + 0

3 2

Add — 2/3 and 0 to get – —

3

2

= – —

3

= (–1).2/3 = –0.666666667

the answer is = –0.666666667

Step-by-step explanation:

#Carry on learning

What u have to do: rename ads fractions with common denominators and compare by using < or >
Problem: 5/8 ⬜️ 3/4

Answers

Answer:

<

Step-by-step explanation:

First, let's find common denominators:

Multiply 3/4 by 2.

Product is 6/8.

Next, let's compare both fractions:

5/8 ? 6/8

5/8 is less than 6/8.

Therefore 5/8 < 6/8.

An actual distance of 50km corresponds to 4 cm on the map

Answers

Answer:

Incomplete question.

Step-by-step explanation:

4 cm = 50 km

1 cm = 50/4 = 12.5 km

Use above ratio or

50 km = 4 cm

1 km = 4/50 = 0.08 cm

Which equation results from taking the square root of both sides of (x – 9)2 = 81?

Answers

Answer:

equation is 2x - 18 = 81

Step-by-step explanation:

(x - 9)2 = 81

(2x - 18) = 81

taking the square root of both sides

\((\sqrt{2x - 18} ) = \sqrt{81}\)

\((\sqrt{2x - 18})^2 = 81\)

2x - 18 = 81

2x = 81 + 18

2x = 99

x = 99/2

x = 49.5

Thank you guys for helping me. I need help on this one

Thank you guys for helping me. I need help on this one

Answers

Answer: 10 times 8 and 8 times 10

Step-by-step explanation:

those are the first in the multiplication table that have the same digits

Select the correct answer. dudley is biking. he wants to cover 40 miles. if he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours? a. y = -15x â€" 40 b. y = -30x 40 c. y = -15x 40 d. y = 30x â€" 40

Answers

The equation will be y = -15x + 40

Equations help us to understand a particular problem better, they give us possible insights into the situation. Equation Formation is an important aspect of Mathematics. We can form equations on the basis of the information given and then analyze it.

Given:

The biker, Dudley wants to travel 40 miles.

It is given that he travels 30 miles every 2 hours.

Obtaining Equation,

Distance traveled in 2 hours = 30 miles

Then, distance traveled in x hours = \(\frac{30}{2}*x = 15x\)

So, the remaining distance to cover = 40 - 15x

or  y = 15x - 40

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Simon has 160160160 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by
A(x)=-x(x-80)A(x)=−x(x−80)A, left parenthesis, x, right parenthesis, equals, minus, x, left parenthesis, x, minus, 80, right parenthesis
What width will produce the maximum garden area?
meters

Answers

Answer:

its 40

Step-by-step explanation:

took test on kahn

A function assigns values. The width of the rectangle to keep the garden area maximum is 40 meters.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As it is given that the area of Simon's field is given by the function, therefore, to find the maximum of the function we need to differentiate the function and then equate it with zero.

\(A(x)=-x(x-80)\\\\A(x)=-x^2+80x\\\\\dfrac{dA}{dx} = -2x+80\)

Now equating the differentiated function with zero we will get.

\(0=-2x+80\\\\-2x=-80\\\\2x=80\\\\x=40\)

Thus, the width of the field should be zero.

If the width is 40 meters, then the length should also be 40 meters to keep the total fencing as 160 meters. But, if all the sides will be 40 it will be square.

As we know that a square is a form of a rectangle therefore if the width of the rectangle is kept at 40 meters, it will produce the maximum garden area.

Hence, the width of the rectangle to keep the garden area maximum is 40 meters.

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Mckenna was asked to write the following expression in standard form. 3-5(3a 6)3−5(3a 6) ​when writing the expression in standard form, mckenna made a mistake. \begin{array}{rrr}3-5(3a 6)

Answers

The first mistake McKenna made when change the expression to standard form is in step 2.

What is PEMDAS?

PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.

For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.

In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.

You question is incomplete, but most probably your full question was

McKenna was asked to write the following expression in standard form.

3−5(3a+6)

When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)

3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4

McKenna made her first mistake in

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Multiply (0.000302)(1000)

Answers

Answer:

0.302

Step-by-step explanation:

Answer: 0.302

Step-by-step explanation:

jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern. is the correct?why or why not



help me!!​

Answers

Jeremy's claim that the number 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern is false

How to determine the true statement?

The number is given as:

Number = 5.676677666777...

The above number is a decimal number.

The dots (...) at the end of 5.676677666777... implies that the number is a repeating number

Repeating numbers are irrational numbers.

This is so because they cannot be expressed as a fraction of two integers

Hence, Jeremy's claim that the number 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern is false

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3:20 what time will it be in 35 minutes

Answers

Answer: 3:55

Add 20 and 35, to get the number of minutes out of 60.

20 + 35 = 55

The time will be 3:55 35 minutes after 3:20.

Hope this helps you!

Answer:

It will be 3:55 because 20 plus 35 equals 55 making it 3:55 in the next 35 minutes.

Step-by-step explanation:

20+35=55

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Morgan places an advertisement in his car window on 27th July stating:Mercedes Benz G-Wagon excellent condition, one owner $90,000 or nearest offer. Please contact Morgan on 647 xxx xxxx (evenings) or 416 xxx xxxx (during office hours 830-430pm).Mica (Morgans neighbor) on seeing the advert earlier that day, decides to contact Morgan that evening and arranges to inspect the vehicle. After inspecting the vehicle Mica states that he will contact him if he was still interested.On July 30th, Suzan calls Morgans mobile number after inspecting the vehicle (the previous day) and offers $89,500. Morgan is delighted and says, how about $89, 800? Suzan states that she will need to discuss this with her husband, Morgan tells her to call back at 6 pm.Suzan contacts Morgan on his mobile phone at 7.30 pm; however, the phone is switched off. As there is no facility to leave a message, Suzan tries his work number the following day, however, Morgan is at a conference, so she leaves a message on his answering machine, stating that she wants the G-Wagon Range Rover for $89,800. Morgan doesnt return to his desk until late that afternoon and fails to listen to his answering machine that day. Suzan then tries his mobile in the evening, but its still switched off.Vishnu, a dedicated car dealer, contacts Morgan the next day (August 1st), on his mobile phone, stating that hes interested in the vehicle, and arranges to meet Morgan during his lunch break to inspect the vehicle. Morgan meets Vishnu and accepts an offer of $90,500 from Vishnu.Morgan is delighted with the sale and decides to purchase a pair of Gucci shoes. When he enters the shop, he sees a price tag for a pair of Gucci shoes for $189. Hes always wanted a pair but could never afford them, so thinking that the shoes are on sale, attempts to purchase them. 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