# Michelle purchased 25 audio files in january . in February she purchased 40 audio files. what is the percent increase ?

QUESTION POSTED AT 14/12/2019 - 05:03 PM

QUESTION POSTED AT 14/12/2019 - 05:03 PM

So, first: what is the absolute increase?

The absolute increase is: 40-25=15. So the absolute increase is 15.

Now, 15 is what percentage of 25?

we count this as follows:

0.8*100%=80%.

So percent increase is 80%.

The absolute increase is: 40-25=15. So the absolute increase is 15.

Now, 15 is what percentage of 25?

we count this as follows:

0.8*100%=80%.

So percent increase is 80%.

**Answer:**

C. 4.12%

**Step-by-step explanation:**

ANSWERED AT 18/01/2020 - 07:41 AM

QUESTION POSTED AT 18/01/2020 - 07:41 AM

The period of this function ( cos (bx) ):

T =

b=

Maximum tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9

Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1

Answer: D)**f(t)= 4 cos (π/6 t) +5**

T =

b=

Maximum tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9

Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1

Answer: D)

ANSWERED AT 18/01/2020 - 07:40 AM

QUESTION POSTED AT 18/01/2020 - 07:40 AM

The answer is (2,9).

This is because we can increment X by 1, giving us X=2. We can then do:

f(2)=25•(3/5)^2

Which equals:

f(2)=25•(3^2/5^2) because (a/b)^c = a^c/b^c.

We can then calculate the fraction in a simplified form:

f(2)=25•(9/25)=225/25

which fully simplified gives us

f(2)=9/1=9

This is because we can increment X by 1, giving us X=2. We can then do:

f(2)=25•(3/5)^2

Which equals:

f(2)=25•(3^2/5^2) because (a/b)^c = a^c/b^c.

We can then calculate the fraction in a simplified form:

f(2)=25•(9/25)=225/25

which fully simplified gives us

f(2)=9/1=9

ANSWERED AT 18/01/2020 - 07:20 AM

QUESTION POSTED AT 18/01/2020 - 07:20 AM

**Answer:**

Any rational root of f(x) is a factor of -49 divided by a factor of 25.

**Step-by-step explanation:**

**The Rational Root Theorems states that :**

**If the polynomial has any rational roots, then they must be in the form of **

Consider the polynomial

in this case, we have and

**Any Rational root of f(x) is a factor of divided by a factor of **

ANSWERED AT 18/01/2020 - 07:18 AM

QUESTION POSTED AT 18/01/2020 - 07:18 AM

The answer is d 40

by applying the cross product

by applying the cross product

ANSWERED AT 18/01/2020 - 07:16 AM

QUESTION POSTED AT 18/01/2020 - 07:16 AM

The *correct answers* are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

**Explanation**:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same. For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order. The same is true of (4y² + 25)(25 + 4y²).

ANSWERED AT 18/01/2020 - 07:11 AM

QUESTION POSTED AT 18/01/2020 - 07:11 AM

Since they value of the book is decaying, we are going to adapt the standard exponential decay function to solve this.

Exponential decay function:

where

is the final amount remaining after years of decay

is the initial amount

is the decay rate in decimal form

is the time in years

**Now, let's adapt the equation to suit our needs**

Since the value of the book is decaying with the number of owners and not with time, we are going to let be the number of previous owners instead of time. So now will represent the final cost of the book after owners, and will be the initial cost of the book.

Exponential decay function:

where

**is the final cost of the book after** **owners**

**is the initial cost of the book**

is the decay rate in decimal form

**is the number of previous owners**

Now, we know from our problem that the initial cost of the book is $85, so . We also know that the resale value of a textbook decreases by 25% with each previous owner; to convert the decay rate (25%) to decimal form, we are going to divide it by 100%:

We have everything we need so let's replace the values in our exponential decay equation:

We can conclude that the correct answer is** A) f(x) = 85(1 – 0.25)^x **

ANSWERED AT 18/01/2020 - 07:07 AM

QUESTION POSTED AT 18/01/2020 - 07:07 AM

I think the answer will be like this:

36÷(-4)= -9

40÷8=5

-42÷(-7)=6

12÷4=3

so the answer is 36÷(-4)

36÷(-4)= -9

40÷8=5

-42÷(-7)=6

12÷4=3

so the answer is 36÷(-4)

ANSWERED AT 18/01/2020 - 07:05 AM

QUESTION POSTED AT 18/01/2020 - 07:05 AM

Let

x------> the first number

y-----> the second number

Assume

we know that

----> equation A

Multiply by both sides

-----> equation B

Adds equation A and equation B

Find the value of y

therefore

the answer is the option

ANSWERED AT 18/01/2020 - 07:05 AM

QUESTION POSTED AT 18/01/2020 - 07:05 AM

The correct answer is:

Maximum: 35°; minimum: −15°; period: 4 hours

We are given a function f(t) which represent the temperature of a periodic chemical equation as:

Hence, the maximum value of the function is attained when Sine function is maximum and the minimum value is attained when the sine function attains the minimum value.

We know that the Maximum value of sine function=1

and Minimum value of Sine function is: -1

when Sine function=1

we have: f(t)=25+10=35°

Hence, **Maximum value of function= 35°**

Also when Sine function= -1

We have: f(t)= -25+10= -15°

**Minimum value of function= -15°**

Also, we know that period of sine function of the type:

is given by:

Here we have:

Hence,

Hence,** Period=4**

ANSWERED AT 18/01/2020 - 07:03 AM

QUESTION POSTED AT 18/01/2020 - 07:03 AM

An outlier of a set of data is a data value that is too small or too large compared to other values in the set of data.
Range of a set of data is the difference between the largest data value and the smallest data valu in the set of data.
Range of 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 is 78 - 23 = 55
When the outlier 78 is removed, the range of the data set 23, 23, 25, 27, 34, 34, 35, 41, 45, 45 is 45 - 23 = 22
Thus, when the outlier 78 is removed, the range of the data set decreases by 55 - 22 = 33.
Therefore, the correct answer to the question "The outlier, 78, is removed from the data set shown.
23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78
How does this affect the range?" is "The range is decreased by 33." (option D).

ANSWERED AT 18/01/2020 - 07:01 AM

QUESTION POSTED AT 18/01/2020 - 07:01 AM

**Answer: **b. Credit cards can be used to increase our credit score.

**Step-by-step explanation: **Option (a) which tells tells that credit cards increase the likelihood of impulse buying is a disadvantage, since it increases our monthly expenditure which may or may not fall in our budget. Secondly, according to option (c) credit cards come with interest fees and all which is also a kind of disadvantage and option (d) is also a disadvantage as credit cards requires a good maintenance. The only advantage of credit cards amongst the given is option (b) because credit cards are helpful in increasing our credit scores.

Thus, the correct option is (b).

ANSWERED AT 18/01/2020 - 06:59 AM

QUESTION POSTED AT 18/01/2020 - 06:59 AM

From the given data:

Number of items | Probability of being purchased | Average amount spent

--------------------------------------------------------------------------------------------------

2 | 0.35 | $12

3 | 0.17 | $20

4 | 0.33 | $28

5 or more | 0.15 | $36

In a sample space of 100 items being purchased, in a day:

For 2 items: 35 (12) = 420

For 3 items: 17 (20) = 340

For 4 items: 33 (28) = 924

For 5 or more items: 15 (36) = 540

If this sample trend would go on the for the next two weeks, then the transaction with 4 items would most likely bring in the most income during the said transaction period.

Number of items | Probability of being purchased | Average amount spent

--------------------------------------------------------------------------------------------------

2 | 0.35 | $12

3 | 0.17 | $20

4 | 0.33 | $28

5 or more | 0.15 | $36

In a sample space of 100 items being purchased, in a day:

For 2 items: 35 (12) = 420

For 3 items: 17 (20) = 340

For 4 items: 33 (28) = 924

For 5 or more items: 15 (36) = 540

If this sample trend would go on the for the next two weeks, then the transaction with 4 items would most likely bring in the most income during the said transaction period.

ANSWERED AT 18/01/2020 - 06:55 AM

QUESTION POSTED AT 18/01/2020 - 06:55 AM

A is 307.2

b is 6.4 min maybe just a little less

b is 6.4 min maybe just a little less

ANSWERED AT 18/01/2020 - 06:55 AM

QUESTION POSTED AT 18/01/2020 - 06:55 AM

To graph this we find the x- and y-intercepts. The x-intercept would be at 8 and the y-intercept would be at 6.

**Explanation**:

The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:

6x+8(0)=48

6x=48.

Divide both sides by 6:

6x/6=48/6

x=8.

We go to 8 on the x-axis and plot the point.

A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48

0+8y=48

8y=48.

Divide both sides by 8:

8y/8 = 48/8

y=6.

We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.

The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:

6x+8(0)=48

6x=48.

Divide both sides by 6:

6x/6=48/6

x=8.

We go to 8 on the x-axis and plot the point.

A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48

0+8y=48

8y=48.

Divide both sides by 8:

8y/8 = 48/8

y=6.

We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.

ANSWERED AT 18/01/2020 - 06:51 AM

QUESTION POSTED AT 18/01/2020 - 06:51 AM

Let

HA(m) = the height of species A as a function of months m

HB(m) = the height of species B as a function of months m

Assuming that the growth rate of the plants is a linear relationship all throughout the growth stages, we have:

HA(m) = 25 + 3m

and

HB(m) = 10 + 8m

HA(m) = the height of species A as a function of months m

HB(m) = the height of species B as a function of months m

Assuming that the growth rate of the plants is a linear relationship all throughout the growth stages, we have:

HA(m) = 25 + 3m

and

HB(m) = 10 + 8m

ANSWERED AT 18/01/2020 - 06:45 AM

QUESTION POSTED AT 18/01/2020 - 06:45 AM

The best answer to the question that is being stated above would be letter B. Step 2 is the one that is flawed in the double-blind study because it does not specify that the two groups were randomly chosen. It is important to assign the participants randomly so that the results give a non-confounded result.

ANSWERED AT 18/01/2020 - 06:45 AM

QUESTION POSTED AT 18/01/2020 - 06:45 AM

The second choice 16y2 - x2 shows a difference of squares.

factoring the second choice results to (4y-x)(4y+x) which results to the difference between 4y and x.

the first choice also shows a difference in the square however sqrt10 is not a perfect radical.

factoring the second choice results to (4y-x)(4y+x) which results to the difference between 4y and x.

the first choice also shows a difference in the square however sqrt10 is not a perfect radical.

ANSWERED AT 18/01/2020 - 06:43 AM

QUESTION POSTED AT 18/01/2020 - 06:43 AM

The * correct answer* is:

D) Using cash can make it easier to over-spend since you know exactly how much you have.

**Explanation**:

Knowing exactly how much you have on hand will actually help you avoid over-spending.

When using cash, you are aware of exactly how much money you have. With a credit card, this may not be the case; this makes it easier with a credit card to spend more money than you should for your budget. With cash it's easier to avoid this problem.

ANSWERED AT 18/01/2020 - 06:40 AM

QUESTION POSTED AT 18/01/2020 - 06:40 AM

**Answer: **Hello mate!

we have the system of equations

30x + 30y = 450

20x + 25y = 345

where x is the number of square feet of snow that Melinda shovels in one minute, and y is the number of square feet of snow that Paul shovels in one minute.

Let's solve the system of equations, first, isolate one of the therms in the first equation, for example, x.

30x+30y = 450

x + y = 450/30 = 15

x = 15 - y

now we can replace it in the second equation and solve it for y.

20x + 25y = 345

20(15 - y) + 25y = 345

300 - 20y + 25y = 345

5y = 45

y = 45/5 = 9

Paul can shovel 9 square feets of snow in one minute, now replace it in the first equation and solve it for x.

x + y = 450/30 = 15

x + 9 = 15

x = 15 - 9 = 6

so melinda sholves 6 square feet of snow in one minute.

The question is:

How much more can Paul shovel in 1 minute than Melinda?

We need to see the difference y - x = 9 - 6 = 3

this means that paul shovels 3 more square feet per minute than Melinda.

ANSWERED AT 18/01/2020 - 06:36 AM

QUESTION POSTED AT 18/01/2020 - 06:36 AM

TOm earned 173 dollars Last week working for 25 hours.

Now, if you're asking about his earnings, it's 173 dollars.

But if you're asking about his hourly rate.Let's find out:

=> 173 / 25 = 6.92 dollars per hour.

Now, if you're asking about his earnings, it's 173 dollars.

But if you're asking about his hourly rate.Let's find out:

=> 173 / 25 = 6.92 dollars per hour.

ANSWERED AT 18/01/2020 - 06:35 AM

QUESTION POSTED AT 18/01/2020 - 06:35 AM

Card P's balance increased by $3.43 more than Card Q's balance. The accumulated total on Card P over the 4 years is $1080.70 and the accumulated total of Card Q is $1,206.28. Based on the principal outlay however, Card P would have netted a higher interest over Card Q when the principal is subtracted from the accumulated value. (For eg. Card P accumulated value $1080.70 less Principal $726.19 equals $354.51).The interests over the 4 years period would be $354.51 and $351.08 respectively, hence Card P having an increase in balance of $3.43 over Card Q.

ANSWERED AT 18/01/2020 - 06:34 AM

QUESTION POSTED AT 18/01/2020 - 06:34 AM

**Answer:**

The correlation coefficient is:

(B) 1; it represents a perfectly linear positive correlation between x and y

**Step-by-step explanation:**

We are given a table as:

**x ** 1 2 3 4 5 6 7

** y ** 20% 24% 28% 32% 36% 40% 44%

where x represent The number of years after 2000.

and y represents Percentage of people owning homes.

Clearly from the table we could see that the percentage of homes keeps on increasing as the number of years increases.

Hence the relationship is a strong Linear positive relationship.

The best fit line for the given data is this:

y = 0.04 x + 0.16

**Hence, the correlation coefficient is: 1.**

**(B) 1; it represents a perfectly linear positive correlation between x and y**

ANSWERED AT 18/01/2020 - 06:32 AM

QUESTION POSTED AT 18/01/2020 - 06:32 AM

First, arrange the data from lowest to highest

19, 20, 21, 22, 23, 24, 25, 27, 29, 30, 33

Next, find the media or the middle data.

The median is 24.

19, 20, 21, 22, 23, 24 (median), 25, 27, 29, 30, 33

Lastly, look at the data below the median and find the middle of those data. If it's between two numbers, choose the lower number. That's the first quartile.

The first quartile is 21.

19, 20, 21(Q1), 22, 23, 24 (median), 25, 27, 29, 30, 33

19, 20, 21, 22, 23, 24, 25, 27, 29, 30, 33

Next, find the media or the middle data.

The median is 24.

19, 20, 21, 22, 23, 24 (median), 25, 27, 29, 30, 33

Lastly, look at the data below the median and find the middle of those data. If it's between two numbers, choose the lower number. That's the first quartile.

The first quartile is 21.

19, 20, 21(Q1), 22, 23, 24 (median), 25, 27, 29, 30, 33

ANSWERED AT 18/01/2020 - 06:32 AM

QUESTION POSTED AT 18/01/2020 - 06:32 AM

To find out the percentage of made of honor roll, the actual success amount should be divided by whole number then multiply with 100.

(150 / 800) * 100

18.75 percentage

(150 / 800) * 100

18.75 percentage

ANSWERED AT 18/01/2020 - 06:30 AM

QUESTION POSTED AT 18/01/2020 - 06:30 AM

If we want to calculate the percentage of the correct answer, we can use this formula.

(17/20) * 100

85 percentage

(17/20) * 100

85 percentage

ANSWERED AT 18/01/2020 - 06:30 AM

QUESTION POSTED AT 18/01/2020 - 06:30 AM

Percent decrease=(decrease)/(original) converted to percent

change=120 to 52

120-52=68

change or decrease=68

original=120

68/120=0.5666666=56.6666%

about 57%

change=120 to 52

120-52=68

change or decrease=68

original=120

68/120=0.5666666=56.6666%

about 57%

ANSWERED AT 18/01/2020 - 06:29 AM

QUESTION POSTED AT 18/01/2020 - 06:29 AM

ANSWERED AT 18/01/2020 - 06:29 AM

QUESTION POSTED AT 18/01/2020 - 06:29 AM

78 * ( x/100) = 24
78 * x = 24 * 100
78 * x = 2400
X = 2400/28
X = 400/13
X = 30.77%
The percent is 30.77

ANSWERED AT 18/01/2020 - 06:24 AM

QUESTION POSTED AT 18/01/2020 - 06:24 AM