Please answer this correctly I have to finish this today as this is my deadline

Answer:

a. 6% one is better

b. $12,285.95

Step-by-step explanation:

a. For determining which investment earn more first we have to calculate both the investment which are as follows

a. Based on compound quarterly, the amount is find out by using the following formula

[tex]Amount = {Present\ value\times (1 + interest\ rate)} ^{number\ of\ years}[/tex]

where,

Present value is $50,000

Interest rate is = [tex]\frac{0.06}{4}[/tex] = 0.015

And, the number of years is

= [tex]4\times4[/tex]

= 16

So, the amount is

[tex]= \$50,000 \times (1 + 0.015)^{16}[/tex]

= $63,449.28

And, based on compounded continuously, the amount is determined by using the following formula

[tex]Amount = Present\ value\times e^{rt}[/tex]

[tex]= \$50,000 \times e.^{0575(4)}[/tex]

= $51,163.33

Therefore, The the investment at 6% is better

b. Now the difference in earning is

= $63,449.28 - $51,163.33

= $12,285.95

Answer:

A and B

Step-by-step explanation:

1) Distance to the focus

From (x,y) to the focus(2,-4) {using distance formula}

=√(x-2)²+(y+4)²

2) Distance to the directrix

Is, y+p where P here is (-6)

So

d2 = y+p

= y+(-6)

= y-6

Answer:

2/5

Step-by-step explanation:

First you want to find the least common denominator, which in this case would be 15. If you multiply 2/5 by 3, you get 6/15 which is less than 7/15

Answer:

2/5

Step-by-step explanation:

Answer:

Answers below

Step-by-step explanation:

a. What was the sample size for this poll?

b. Are the data categorical or quantitative?

c. Would it make more sense to use averages or percentages as a summary of the data for this question?

d. Of the respondents, 67% said Yes, they would want it to pass. How many individuals provided this response?

Answer:

x=-3

Step-by-step explanation:

The vertex is at x = -3

The axis of symmetry is along the vertex

x=-3

Answer:

x=-3

Step-by-step explanation:

To find the axis of symmetry, you just need to find the x-coordinate of the vertex using this formula: -b/2a=x  

*Only when provided a three variable quadratic equation.

For looking at a graph, you find the center of the parabola in which when you reflect it over itself, it will be symmetrical.

According to the graph, x=-3 is the line which you can draw to fold over to the other side and it can fit perfectly.

Answer:

She drove 8 miles each day.

Step-by-step explanation:

Given that she drove equal number of miles in 5 days. So in order to find the number of miles in each days, you have to divide it by 5,

[tex]5days = 40miles[/tex]

[tex]1day = 40 \div 5[/tex]

[tex]1day = 8miles[/tex]

Answer:

  $48.53

Step-by-step explanation:

The purchases can be written in equation form as ...

  4v +5f = 352.65

  2v +4f = 249.12

Doubling the second equation and subtracting the first gives ...

  2(2v +4f) -(4v +5f) = 2(249.12) -(352.65)

  3f = 145.59 . . . . simplify

  f = 48.53 . . . . . . divide by 3

The price of each football was $48.53.

Answer:

150 miles

Step-by-step explanation:

If the distance between Seattle and Boise is 400 miles and the image illustrates 4", then there must be a proportionate between the two values. Therefore, if the distance between Seattle and Portland is 1.5", then the real distance must be 150 miles.

Answer:

5 / (x+4)      x ≠2 x≠-4

Step-by-step explanation:

5(x-2)/(x-2)(x+4)

The denominator cannot be zero so x ≠2 x≠-4

Cancel like terms in the numerator and denominator

5 / (x+4)      x ≠2 x≠-4

Answer:

250

Step-by-step explanation:

if x=50

5(x)=5*50=250

Hope it helps..Pls mark as Brainliest!!

Answer:

The probability that both the male and female student are non-smokers is 0.72.

Step-by-step explanation:

The complete question is:

At a local college,178 of the male students are smokers and 712 are non-smokers. Of the female students,80 are smokers and 720 are nonsmokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are non-smokers?

Solution:

Let, X denote the number of non-smoker male students and Y denote the number of non-smoker female students.

It is provided that:

X' = 178

X = 712

Tx = 890

Y' = 80

Y = 720

Ty = 800

Compute the probability of selecting a non-smoker male student as follows:

[tex]P (\text{Non-smoker Male student})=\frac{712}{890}=0.80[/tex]

Compute the probability of selecting a non-smoker female student as follows:

[tex]P (\text{Non-smoker Female student})=\frac{720}{800}=0.90[/tex]

Compute the probability that both the male and female student are non-smokers as follows:[tex]P(\text{Non-smoker Male and Female})=P(\text{Non-smoker Male})\times P(\text{Non-smoker Female})[/tex]The event of any female student being a non-smoker is independent of the male students.

[tex]P(\text{Non-smoker Male and Female})=0.80\times 0.90[/tex]

                                                 [tex]=0.72[/tex]

Thus, the probability that both the male and female student are non-smokers is 0.72.

Answer:

2cm

Step-by-step explanation:

h=v/(l)w

h=24/(6)2

h=24/12

h=2cm or 2cm²

uhh there is no such thing because -1 isn't a perfect square.

Answer:

x=-1/39

Step-by-step explanation:

Answer:

2±√13

Step-by-step explanation:

9/x=x-4

x² -4x - 9=0

x² -4x +4- 13=0

(x -2)²=13

x-2= ±√13

x= 2±√13

Answer:

A. it would be shifted up

Step-by-step explanation:

Y=MX+B

B is the Y-intercept.

Answer:

a. it would be shifted up

Step-by-step explanation:

the difference between the original and the new function is that the b value is changed from -6 to +8, meaning the y-intercept value has increased. this would shift the graph up by 14.

Answer:

15, 33

(if I'm not wrong, it should work this way)

Answer:

d = 4

Step-by-step explanation:

Using the formula

A=pq/2

Dont for get to click THANKS

John's average on all three tests, assuming a score of S on the third test, would be

(82 + 98 + S)/3

He wants the average to be at least 88, so solve the inequality:

(82 + 98 + S)/3 ≥ 88

82 + 98 + S ≥ 264

180 + S ≥ 264

S ≥ 84

So John needs to obtain a grade of at least 84 on the third test to get the average he wants.

The score on his third test is 84 so that his average is at least 88 given first two grades 82 and 98. This can be obtained by using the formula to find average.

Average of observations is the ratio of sum of observations to total number of observations.

Grade of first test=82

Grade of second test = 98

let grade of third test be x

Average of the grades = [tex]\frac{82+98+x}{3}[/tex] ≥ 88

[tex]\frac{180+x}{3}[/tex] ≥ 88 ⇒ x ≥ 246-180 ⇒ x ≥ 84

Hence we can say that the score on his third test is 84 so that his average is at least 88 given first two grades 82 and 98.

Learn more about averages here:

brainly.com/question/19004665

#SPJ2

Answer:

5

Step-by-step explanation:

[tex]\frac{7+x}{9-x}=3\\ 7+x = 3(9-x)\\7+x=27-3x\\x+3x=27-7\\4x=20\\x=5[/tex]

Answer:

1: Glide

2: Reflection

3: Reflection

Step-by-step explanation:

1): The first one is glide because you are just moving the triangle and not changing anything to the angle and the size.

2): The second one is a reflection because you are reflecting across an invisable line. Basicly think of it as a mirror. In the picture below, you can see the line of reflection.

3): The third one is also a reflection for the same reason as the second, (view attached image below for line of reflection.

Answer:

The GCF is going to be 32

Answer:

32x^2

Step-by-step explanation:

B on edge

Answer: idk

Step-by-step explanation:

idk

Answer:

P(50.1 < X < 51.1) = 0.5

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula:

[tex]P(c < X < d) = \frac{d - c}{b - a}[/tex]

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that [tex]a = 50, b = 52[/tex]

So

[tex]P(50.1 < X < 51.1) = \frac{51.1 - 50.1}{52 - 50} = 0.5[/tex]

Answer:

6.75 min

Step-by-step explanation:

100 facts/4.5 min = 150 facts/x min

x=(150*4.5)/100=6.75

Answer:

"According to the 68-95-99.7 rule, we expect 95% [95.45%] of head breadths to be" between 4.1 inches and 8.9 inches.

Step-by-step explanation:

According to the 68-95-99.7 rule, approximately:

Then, if we have--from the question--that:

We have to remember that two parameters characterize a normal distribution: the population's mean and the population's standard deviation. So, mathematically, the distribution we have from question is [tex] \\ N(6.5, 1.2)[/tex].

For 95% (95.45%) of the head breadths, we expect that they are two standard deviations below and above the population's mean.

For solving this, we need to use the cumulative standard normal distribution (in case we need to find probabilities) and also use standardized values or z-scores:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

A z-score "tells us" the distance from the mean in standard deviations units. If the z-score is positive, it is above the mean. If it is negative, it is below the mean.

Since 95% (95.45%) of the head breadths are two standard deviations (above and below the mean), we have (using [1]):

[tex] \\ \pm2 = \frac{x - \mu}{\sigma}[/tex]

But we already know that [tex] \\ \mu=6.5[/tex] inches and [tex] \\ \sigma=1.2[/tex] inches.

Thus (without using units) for values above the population's mean:

[tex] \\ 2 = \frac{x - 6.5}{1.2}[/tex]

Solving the equation for x, we multiply by 1.2 at each side of [1] :

[tex] \\ 2 * 1.2 = \frac{x - 6.5}{1.2} * 1.2[/tex]

[tex] \\ 2 * 1.2 = (x - 6.5)\frac{1.2}{1.2}[/tex]

[tex] \\ 2 * 1.2 = (x - 6.5)\frac{1.2}{1.2}[/tex]

[tex] \\ 2 * 1.2 = (x - 6.5)*1[/tex]

[tex] \\ 2 * 1.2 = x - 6.5[/tex]

Adding 6.5 at each side of the previous equation:

[tex] \\ (2 * 1.2) + 6.5 = x - 6.5 + 6.5[/tex]

[tex] \\ (2 * 1.2) + 6.5 = x + 0[/tex]

[tex] \\ (2 * 1.2) + 6.5 = x[/tex]

Therefore, the raw value, x, in the distribution that is two standard deviations above the population's mean is:

[tex] \\ x = (2 * 1.2) + 6.5[/tex]

[tex] \\ x = 2.4 + 6.5[/tex]

[tex] \\ x = 8.9[/tex] inches.

For two standard deviations below the mean, we proceed in the same way:

[tex] \\ -2 = \frac{x - 6.5}{1.2}[/tex]

[tex] \\ -2*1.2 = x - 6.5[/tex]

[tex] \\ (-2*1.2) + 6.5 = x[/tex]

[tex] \\ x = (-2*1.2) + 6.5[/tex]

[tex] \\ x = -2.4 + 6.5[/tex]

[tex] \\ x = 4.1[/tex] inches

Therefore, "according to the 68-95-99.7 rule, we expect 95% [95.45%] of head breadths to be" between 4.1 inches and 8.9 inches.

The graph below shows these values, and the shaded area represents 95% of the data, or, to be more precise, 95.45% (0.954499).  

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

[tex]f(t)=\left \{ {{0 ,\-t<0 }\atop {\frac{e^{-t/\mu}}{\mu}},t\geq0} \right. \\[/tex]

Consider the second function:

[tex]f(t)=\frac{e^{-t/\mu}}{\mu}\\[/tex]

Where Average waiting time = μ = 2.5

The function f(t) becomes

[tex]f(t)=0.4e^{-0.4t}[/tex]

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

[tex]\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt[/tex]

which is equal to 0.01

Solve the equation for x

[tex]\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01[/tex]

Take natural log on both sides

[tex]ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53[/tex]

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

Answer:

give $20 to each person

Step-by-step explanation: