Problem 16-05 To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3300, and the average first-year commission for each new account opened is $5100. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin’s profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar. Profit = (New Accounts Opened × $ 5100 ) – $ 3300 What type of random variable is the number of new accounts opened
Answer:
1) The equation for computing Gustin's profit per seminar is given as follows;
The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost
2) The number of new accounts is a continuous random variable
Step-by-step explanation:
1) The number of individuals that attend each of Gustin's seminar = 25 individuals
The cost of each seminar = $3,300
On average the commission on the first-year for each opened account = $5,100
The probability of opening an account by an attendee of each seminar = 0.01
The profit = Revenue - The cost of each seminar
The revenue = (The number of Newly Opened Accounts) × (Commission on each account)
∴ The revenue = (The number of Newly Opened Accounts) × $5100
Therefore, the equation for finding Gustin's profit per seminar is given as follows;
The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost
The profit = (The number of Newly Opened Accounts) × $5100 - $3,300
The number of Newly Opened Accounts = (The number of attendee) × (The probability of an attendee opening an account)
The number of Newly Opened Accounts = 25 × 0.01 = 0.25
The number of Newly Opened Accounts = 0.25
The profit = 0.25 × $5100 - $3,300
The revenue = 0.25 × $5100 = $1,275
The profit = $1,275 - $5,100 = -$3,825 = ($3,825)
2) The number of Newly Opened Accounts = 0.25 which gives, that Gustin has to conduct 4 seminars to be sure of 1 new account, which represents a probabilistic variable which is the definition of a continuous random variable.
Therefore, the number of new accounts is a continuous random variable.
Choose the true statement.
-2 > -3
-2 < -3
-2 = -3
Answer:
The True answer is -2>-3
The longer leg of the right triangle is 8 more than the shorter leg. The hypotonuse is 8 more than the longer leg. FInd all 3 sides
Answer:
4[tex]\sqrt{13}[/tex]
4[tex]\sqrt{13}[/tex] + 8
4[tex]\sqrt{13}[/tex] + 16
Step-by-step explanation:
as per the given information:
shorter leg = x
longer leg = x + 8
hypotonuse = x + 8 + 8
remember the Pythagorean theorem, which states
x^2 + y^2 = n^2
where x and y are the legs and n is the hypotenuse
so now one can set up an equation:
x^2 + ( x + 8 )^2 = ( x + 16 ) ^2
simplify and solve using inverse operations:
first preform the square
x^2 + x^2 + 16x + 64 = x^2 + 32x + 256
then preform inverse opertations and simplify
2x^2 + 16x + 64 = x^2 + 32x + 256
-x^2 -x^2
x^2 + 16x + 64 = 32x + 256
-16x -16x
x^2 + 64 = 16x + 256
- 64 -64
x^2 = 16x + 192
-16x -16x
x^2 - 16 = 192
x^2 -4^2 = 192
remember the differnt ways of writing a special square
(x - 4) (x + 4) = 192
x = 4[tex]\sqrt{13}[/tex]
now add 8 to find the longer leg
4[tex]\sqrt{13}[/tex] + 8
an add another 8 to find the hypotenuse
4[tex]\sqrt{13}[/tex] + 8 + 8
4[tex]\sqrt{13}[/tex] + 16
7/8 divided by 3/4.
What property is shown in the statement?
a + (b + 12) = (b + 12) + a
Answer:
Commutative
Step-by-step explanation:
Commutative is moving the numbers around. In the equation, the a moved.
I need help in solving this problem. I need it to be factored by the GCF. I know the answer is (x-3)(5x-1), but I need the work.
5x^2-16x+3
I also have 2x^2+7x+5 and the answer to it is (2x+5)(x+1), but I also need to work too.
Answer:
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
Oh(x) = x + 4
Oh(x) = x - 4
h(x) = x
Oh(x) = = x
Answer:
y = x/4
Step-by-step explanation:
First, replace f(x) with y, so it's easier to find the inverse:
y = 4x
To find the inverse of this function, you would replace all the y's with x's and all the x's with y's, and then solve for y. That would be:
x = 4y
y = x/4
Therefore, the inverse function of y = 4x is y = x/4.
PLEASE HELP!!! 45 POINTS!!!
I know this is hard I'm sorry ;-;
Answer:
A
Step-by-step explanation:
hi! this is modus ponens. modus ponens is a form of assumption, and modus tollens denies the initial statement. modus ponens is like saying if A, then B occurs as well. if A is proven to be true, B must also be true. this makes sense in this situation because it says if an animal is a dog, then it barks (if A, then B). the animal barks, so it is a dog (A is true, so B must also be true).
hope this helps!
-9.5 - (-8) -6.5
helppppppppppp
Answer:
-8
Step-by-step explanation:
-4b+ 5(1 - 6b) = 243
Can somebody helpp ???
Answer:
I think 4
Step-by-step explanation:
If FG = 2 and EF looks very similar, EG would be 4 and EH=8, 8-4=4
Explain how to make this an expression
176.3- 15.75
Answer:
I have that same question on my extra credit!
Step-by-step explanation:
I know the answer its 160.55 but I don't know what i should do for the problem. This is my questions:
Mina asked four friends to explain how each one solved the expression . Here are their explanations Please comment if these are the same:
Ivy’s explanation: I lined up the numbers to subtract.
176.3
- 15.75
18.8
Hannah’s explanation: I lined up the two decimals according to place value. I put a 0 in the hundredths place to make it easier for me to subtract.
176.30
- 15.75_
161.45
Jose’s explanation: I lined up the two decimals according to place value.
176.3
- 15.75
161.45
An’s explanation: I counted up from 15.75 to 176.3 to find the difference. I underlined each number I added on each line.
15.75 + 0.25 = 16
16 + 4 = 20
20 + 150 = 170
170 + 6 = 176
176 + 0.3 = 176.3
I rearranged the underlined numbers to make them easier to add: .
150 + 6 + 3 + 0.25 = 163.25
Explain each student’s mistake and solve the problem correctly.
Show your work.
Match each property to its example.
1. Commutative Property of Multiplication 0 x 3=0 2. Associative Property of Multiplication 4x 1 = 4 3. Identity Property of Multiplication 7 x 3=3x7 4. Zero Property of Multiplication (6 x 2) * 5 = 6 * (2 * 5)
Answer:
twyeyeueuu62772737 and that is what you would have
Answer:
0 x 3=0 :Zero Property of Multiplication4 x 1=4 : Identity Property of Multiplication7 x 3=3x 7 :Associative Property of Multiplication (6 x 2) *5=6* (2 * 5) : Commutative Property of MultiplicationStep-by-step explanation:
Using the distributive property, an expression equivalent to 34 + 16 is
A.2(17+ 8)
B.17(2+8)
C. 34+ (4) (4)
D. (2)(17) + (4) (4)
Answer:
A. 2(17+8)
Step-by-step explanation:
distribute and you get 2x17=34 and 2x8=16
Explain how you can use equivalent fractions to find the quotient of 2÷3÷4.
Answer:
Just to let you know this is from another user on brainly i found before THIS IS NOT MT INFO
Step-by-step explanation:
2/3 ÷ 4
¨We use copy dot flip
The flip means make a reciprocal of the second number
2/3 * 1/4
Multiply the numerators
2*1 = 2
Multiply the denominators
3*4 =12
Put the numerator over the denominator
2/12
Simplify
1/6¨
Answer:
1/6
Step-by-step explanation:
You find a fraction that is equal 2/3 and has a multiple of 4 for the numerator. Then you have to multiply the numerator and the denominator by 2 then you get 4/6 divided by 4, since 2/3 is equal to 4/6. So the answer is 1/6.
- I wrote this myself so don't worry and I know this is the right answer! :)
Help the picture is above I’ll mark you as the brainliest please show the work too.
Answer:
b
Step-by-step explanation:
I used the graph and figured out the answer
Hope this helps :)
Brainest pls?
Barbara, Becky and Beth dressed up as princesses for
Halloween. One was Snow White. One was Sleeping
Beauty. One was Cinderella. Becky is not Sleeping
Beauty and she went trick-or-treating with Snow White.
Beth and Sleeping Beauty are sisters. Who is Snow
White?
Answer:
The answer is Beth.
Step-by-step explanation:
It states "Becky is not Sleeping Beauty and went trick-or-treating with Snow White" so we know that its not Becky. It also states "Beth and Sleeping Beauty are sisters" so we know that Beth is not Sleeping Beauty and we know that Becky is not Sleeping Beauty or Snow White. So it means that Barbara is Sleeping Beauty, Becky is Cinderella and Beth is Snow White.
PLEASE GIVE BRAINLIEST
Can someone help me with this? I’m genuinely confused it’s been three hours and no one helped me :(
Answer:
wddfgfgjgfccvnjjxcvbfx bff
Answer:
as attached image shows
Step-by-step explanation:
A coordinate grid with 2 lines. The first line is labeled f(x) and passes through (negative 4, 3), (0, 3) and (4, 3). The second line is labeled g(x) and passes through the points (negative 2, negative 5), (0, negative 2), and (2, 1)
Determine the input value for which the statement
f(x) = g(x) is true.
From the graph, the input value is approximately (2) (2.5) (3.5) or (4)
.
f(x) = 3 and g(x) = 3/2x – 2
3 = 3/2x – 2
5 = 3/2x
The x-value at which the two functions’ values are equal is (2/3) (3/2) (5/3) or (10/3)
.
Answer:
3.5 and 10/3
Step-by-step explanation:
just took the quiz
Answer: C.) 3.5 and D.) 10/3
Step-by-step explanation: i hope this helps :)
5+5-5-5+10. Gggggffggvgv
Answer:
10
Step-by-step explanation:
thanks
Which is better to buy 4.20 for 6 cans or 8.00 for 10 cans
Answer:
4.20 for 6 cans is better
Step-by-step explanation:
4.20 / 6 = 0.70 per can
8.00 / 10 = 0.80 per can
0.70 per can is cheaper/less expensive than 0.80 per can.
Show work, and find the product.
−4x5(11x3+2x2+9x+1)
Answer:
-44x⁸–8x⁷–36x⁶–4x⁵
Step-by-step explanation:
when you expand problems like these you need to multiple the number in front of the variable the the other numbers in front of the variables and add the exponentslike this-4•11= -44 | 5+3=8 I -44x⁸-4•2= -8 | 2+5=7 | -8x⁷-4•9= -36 | 1+5=6 | -36x⁶-4•1= -4 | 0+5=5 | -4x⁵put it all together and you get -44x⁸–8x⁷–36x⁶–4x⁵if my explanation is confusing I'm sorry feel free to ask questions
CONSTANT TERMS
7k-8k
Answer:
1k
Step-by-step explanation:
If you can explain it a little better I could give you a better response. If it is multiple choice please provide the answer choices.
Pls help i don't want to fail
Answer:
27/50
Step-by-step explanation:
Just do 9/10/3/5
Answer:If the question is asking for 9/10/3/5 the answer is 3/50; however, if the question is asking for (9/10) / (3/5), the answer should be 3/2.
Step-by-step explanation: The 3/50 answer comes from 9/10 which equals .9, dividing that by 3. That equates to .3, and then dividing by 5 which measures up to .06. From there you can turn .06 into a fraction being 3/50.
You get the 3/2 by dividing (9/10) by (3/5). .9/.6 is 1.5. When converted to a fraction 1.5=3/2. Hope this could help.
NEED HELP! PLEASE! ASAP! 55 POINTS!
Tell whether the given order pairs are solutions of the inequality.
y ≥ - 2x + 4 ; (0,4) (-1,8)
Answer:
both
Step-by-step explanation:
hi! let's plug in the ordered pairs into the equation. the x-coordinate is substituted for x in the equation, while the y-coordinate is substituted for y.
y≥-2x+4
(0,4)
4≥-2(0)+4
4≥0+4
4≥4
this is correct since 4 is equal to 4.
(-1,8)
8≥-2(-1)+4
8≥2+4
8≥6
this is also correct since 6 is less than 8.
therefore, both ordered pairs are solutions of the inequality.
what is 5(-x) equal to?
Answer:
?
Step-by-step explanation:
where are the options?
need help with 3 easy math problems
Answer:
p=9 m=21 x= - 30
Step-by-step explanation:
p=9
m=21
x= - 30
Step-by-step explanation:
1) 3p + 5 = 14
3p = 14 - 5
3p = 9
p = 9/3
⇢ p = 3
2)
m/7 - 3 = 0
m/7 = 3
m = 3 × 7
⇢ m = 21
3) 8 + x/2 = -7
x/2 = -7 - 8
x/2 = - 15
⇢ x = -30
The formula for the volume, v, of a cone having the radius,r, and the height is shown below v=1/2 πr2h write the formula to calculate the height, h
Answer:
h= 2v / πr²
Step-by-step explanation:
height of a cone is twice of it's volume divided by π and square of radius
Step-by-step explanation:
v = 1/2 πr²h
v / 1/2 πr² = 1/2 πr²h / 1/2 πr² (Divide both sides of the equation by 1/2 πr² to find the formula for height (h).
v / 1/2 πr² = h or h = 2v / πr²
What is the equation to Pi in math?
By definition, pi is the ratio of the circumference of a circle to its diameter. In other words, pi equals the circumference divided by the diameter (π = c/d). Conversely, the circumference of a circle is equal to pi times the diameter (c = πd).
please help... thank you.
Answer:
5
Step-by-step explanation:
nearest whole number for 24 16/17= 25, nearest whole number for 4 8/9= 5, 25/5=5