Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?​

Answer:

I am pretty sure it is

y >_ 20(0.061)^t

t >_ 0

Step-by-step explanation:

Answer:-1.2 Degree Fahrenheit.

Step-by-step explanation:

Since,

The average daily changes,   total changes/number of days

Here,

The total changes = - 16.8° F ( - sign shows the decreasing )

And, the number of days = 14

Hence,

⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.

-16.8 / 14 = - 1.2 per day

Answer: Each towel costs $1.90

Step-by-step explanation:

$15.20 divided by 8 = $1.90

9514 1404 393

Answer:

  367.92

Step-by-step explanation:

72 = 9·8

In order for the total cost to be divisible by both 8 and 9, it must meet a couple of requirements:

In order for the sum of digits to be divisible by 9, the first and last digits must total 5 or 14. (The total of existing digits is 22. The sum needs to be 27 or 36.)

In order for the last three digits to be divisible by 8, the last digit must be 2*. So, the first digit must be 5-2=3.

The first digit is 3; the last digit is 2.

The total cost is 367.92. Each item price is 367.92/72 = $5.11.

_____

* 790/8 = 98.75, so (790 + 2)/8 will be 99. 792 is the only number starting with 79 that is divisible by 8.

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

Answer:

K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = [tex]-5x^2[/tex]

first Determine the value of F'(x)

F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x)  [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]

 K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

Answer:

B- 44

Step-by-step explanation:

87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.

hope this helped! -brooke :))

Answer:  A)    4x -8 = 128  

Step-by-step explanation:

We will represent the amount that the normal bus carries by   n= x  

We will represent  the amount that the large bus carries by  l = 2x  

We will also represent the amount that the small bus carries by  s = x-8  

Now add them to equal to 128.

x + 2x + x -8 = 128    

    4x -8 = 128  

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

Answer:

120 different ways

Step-by-step explanation:

So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.

To do that, we have to split into sets.

Set A: 4 Theme Parks

Set B: 6 Passes

Set C: 5 Food Options

Now we have to multiply the sets.

4 x 6 x 5 = 120

Therefore, the answer is 120 different ways.

Answer:

The answer is D 14^10

Answer:

A

Step-by-step explanation:

Answer:

10 Minutes

Step-by-step explanation:

At&t = 3x+35

Verizon = 2x+45

2x+45=3x+35

-2x       -2x

45=x+35

-35   -35

x=10

Answer:

17*21 = 357

Step-by-step explanation:

Firstly, set up your equation.

x*(x+4)=357

Multiply X by (x+4)

x^2+4x=357

You then subtract 357 from both sides

x^2+4x-357=0

Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.

[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]

Answer:

1.41

Step-by-step explanation:

Answer:

positive 9

Step-by-step explanation:

Answer:

the answer is positive 9

Step-by-step explanation:

just positive 9

Answer:

<3, <2 or <6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i had it in usatestprep

Answer:

55 + 45 = 90

90 divided by  45 = 2

90 divided by 9 = 10

Step-by-step explanation:

Answer:

y = -3x + 3

Step-by-step explanation:

Slope = -3

y-intercept = 3

Substitute values into slope intercept form :

y=mx + b

Where :

m= Slope

b = y-intercept

[tex]y = - 3x + 3[/tex]

Answer:

the answer is 4800

Answer:

What is mental math?

Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?

It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.

Is mental math useful?

Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.

Step-by-step explanation:

Answer:

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

A linear graph is represented by a straight line

The true options are:

The points on the graph are:

[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]

[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]

The slope (m) of the graph is:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]

[tex]\mathbf{m = \frac{16.50}{6}}[/tex]

[tex]\mathbf{m = 2.75}[/tex]

The above means that: 1 pound of blueberries costs $2.75

Hence, (a) is true, and (b) is false

Multiply 2.75 by 5, to get the cost of 5 blueberries

[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]

This means that: (c) is false

Multiply 2.75 by 12, to get the cost of 12 blueberries

[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]

This means that: (d) is true

(e) is false, because:

[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]

Hence, the true options are: (a) and (d)

Read more about linear graphs at:

https://brainly.com/question/11804653

Answer:

FV= $5,325.8

Step-by-step explanation:

Giving the following information:

Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.

To calculate the future value, we need to use the following formula:

FV= (P*r*t) + P

P= $5,000

r= 0.0434/12= 0.00362

t= 18

FV= [(5,000*0.00362)*18] + 5,000

FV= $5,325.8

The value of the CD at the end of its term is $39,060

Given:

Time = 18 month

Principal = $5000

Interest rate = 434%

Future value = ?

Future value = Principal × Rate × Time

= 5,000 × 434% × 18

= 5000 × 434/100 × 18

= 5000 × 4.34 × 18

= 39,060

Therefore, the value of the CD at the end of its term is $39,060

Read more:

https://brainly.com/question/12164462

the first thing we must do is define variables.

We have then:

n: number of cans that each student must bring.

We know that:

The teacher will bring 5 cans

There are 20 students in the class

At least 105 cans must be brought, but no more than 205 cans

Therefore the inequation of the problem is given by:

105 < 20n + 5 <205

Answer:

the possible numbers n of cans that each student should bring in is:               105 < 20n + 5 < 205

Answer:

-7 (Not here)

Step-by-step explanation:

1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14

2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"

Answer:

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

Step-by-step explanation:

y 63 53 77 53 38 43 34 20 13

x1 45 42 40 37 27 24 20 14 12

x2 74 62 80 53 42 48 35 16 13

x3 H H L M H M L L M

For regression analysis : all variables must be quantitative ;

X3 variable may be represented as thus;

L = 1 ; M = 2 ; H = 3

Hence ;

X3 = 3 3 1 2 1 2 1 1 2

y= ____ + (____)x2+ (____)x3 + (____)x4

Using the online multiple regression calculator :

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

From the general formular of a linear model:

y = w1x1 + w2x2 +... + wnxn + c = 0

Where c = intercept

w1,.. wn = weight of explanatory variable

Hence, the weights of x2 = 0.2068

Weight of x3 = 0.7995

Weight of x4 = - 3.607

Intercept = 6.6406

Answers:

[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]

Based on the limit comparison test, the series is convergent

========================================================

Explanation:

As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.

In other words,

[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]

That -2 doesn't really play a role when n gets very large.

This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.

So,

[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]

[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]

Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.

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

If we plug n = 2 into the [tex]b_n[/tex] sequence, we get

[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]

The first term is a = 1/9

If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]

This shows that the common ratio is r = 1/3

Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.

Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.

We've shown that the b series converges, so the 'a' series must converge as well.

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2

Answer:

-3

Step-by-step explanation:

-9t-4=23

-9t=27

t=-3

Answer:

B.

Step-by-step explanation:

I think its B because the Y comes before the slope

Answer:

y equals 5x + 20

Answer:1.7 x 10 ^ -5

Step-by-step explanation:

Answer:1.7 x 10-5

hope this helps