Answer:
Step-by-step explanation:
The answer is $27.23 for the commission
Work out problem:
495×5.5%=27.225
So you round that off to 27.23
When working with a problem with percentages, you always multiple to figure out how you got your and what is your answer.
Find the equation of the tangent line. y=(x^2+x-2)^2 at (-1,4)
Compute the derivative of y = (x² + x - 2)² using the chain rule:
dy/dx = 2 (x² + x - 2) d/dx [x² + x - 2]
dy/dx = 2 (x² + x - 2) (2x + 1)
Evaluate the derivative at x = -1 :
dy/dx (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
y - 4 = 4 (x - (-1)) → y = 4x + 8
3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.
Answer:
well you could do 26 groups of 6 people
Step-by-step explanation:
The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele
Answer:
1001 m/s
300 [tex]m/s^2[/tex]
0.299.
Step-by-step explanation:
Given that:
[tex]D=f(t)=t^3+1[/tex]
[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].
[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]
To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.
Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:
[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]
[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]
Relative rate of change:
[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]
Sydney has $150 in her bank account. She buys a bike for $200. What is Sydney´s account balance now?
pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)
HOW MANY WOULD BE IN EACH GROUP?
Answer:
carrot
Step-by-step explanation:
give me brainlyist i never got it pls bt i have snap if you want im a girl
For a science project, Daniel planted 51 flower seeds. Of those seeds, 12 did not grow at all. Of the seeds that did grow, 2/3 of them grew green tomatoes. How many green tomatoes grew?
a) 12
b) 8
c) 26
d) 13
Answer:
C. 26
Step-by-step explanation:
According to the question,
Daniel planted 51 seeds.
12 seeds did not grow at all,
Therefore, the number of seeds that grew are 51-12= 39
Then, from the 39 seeds that grew, 2/3 of them are green tomatoes.
So, to find out how many green tomatoes grew, we solve
2/3 * 39= 26.
Therefore, the amount of green tomatoes are 26.
How do you multiple 14.5×6.5×6.5?
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{How\ do\ you\ multiply\ 14.5\times6.5\times6.5?}[/tex]
[tex]\bullet\ \textsf{First you have to line up your decimals (If its easier for you break down the equation)}[/tex]
[tex]\mathsf{14.5\times6.5\times6.5}\\\mathsf{14.5\times6.5=\underline{94.25}}\\\mathsf{94.25\times6.5=\underline{612.625}}\\\\\boxed{\boxed{\mathsf{Thus, your\ answer\ is: \boxed{\boxed{\huge\text{\bf{612.625}}}}}}}\checkmark[/tex]
[tex]\mathsf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
To attend the football game, it costs $8 for parking plus $59 per ticket. If Bryan paid $362, how many tickets did he purchase?
Answer:6 tickets
Step-by-step explanation:
X= number of tickets
59x+8= 362
59x= 362-8
59x= 354
X= 354/59
X= 6
Bryan bought six tickets, hope this helps!!!!
The weights, in pounds, of the cats in an animal adoption center are normally distributed. If a random sample of cats is taken and the confidence interval is (7.9,12.7), what is the margin of error?
Give a numerical response for your answer. For example, if you found that the margin of error was 2, you would enter 2.
Answer:
2.4
Step-by-step explanation:
Given that :
The confidence interval = ( 7.9 , 12.7 )
The Margin of error M.O.E = Interval width/2
where;
The interval width = UCL - LCL
The interval width = 12.7 - 7.9
The interval width = 4.8
∴
The Margin of error M.O.E = 4.8/2
The Margin of error M.O.E = 2.4
I need help for this
Answer:
not sure
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]a = \frac{cde}{b} \\ [/tex]
[tex]c = \frac{ab}{de} \\ [/tex]
[tex] \frac{ab}{e} = cd \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)
Answer:
The value is [tex]E(X) = \$ 421.6[/tex]
Step-by-step explanation:
From the question we are told that
The probability that a 22 year old female in US will die within one year is p= 0.00044
The outcome if she dies within one year is that the company losses $30,000
Generally the probability that a 22 year old female in US will live more than one year is
[tex]q = 1 -p[/tex]
=> [tex]q = 1 -0.00044[/tex]
=> [tex]q = 0.99956[/tex]
The outcome if she lives more than one year is that the company gains $435
Generally the the company's expectation is mathematically represented as
[tex]E(X) = -30000 * p + 435 * q[/tex]
The negative sign shows that the company is loosing the fund
So
[tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]
=> [tex]E(X) = \$ 421.6[/tex]
Which linear inequality is represented by the graph?
PLEAe help
Answer:
The answer to your problem is the last option
Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).
Answer:The other endpoint is at ( − 4 , 3 )
Explanation:
The line segment passing through ( − 4 , 9 ) and ( − 4 , 6 )
is a vertical line with the midpoint 3
units below the first point.
The other endpoint must be 3
further units below the midpoint i.e. at ( − 4 , ( 6 − 3 )
Step-by-step explanation:
the length of a rectangular sign is 4 times it's width. if the sign's perimeter is 30 inches, what is the area?
Answer:
36
Step-by-step explanation:
Width = x
Length = 4x
Perimeter = Width + Width + Length + Length (Because there are four sides; two sides are the widgth and two sides are the length)
30 (because 30 is given as the perimeter) = x + x + 4x + 4x
30 = 10x
x = 3
Width = 3
Length = 4(3) = 12
Area = Width * Length
Area = 3 * 12 = 36
The area of the rectangular sign is equal to 36 square inches, if its perimeter is 30 inches.
Let the length of the rectangular sign be L.Let the width of the rectangular sign be W.Given the following data:
Perimeter of rectangular sign = 30 inches.Translating the word problem into an algebraic equation, we have;
[tex]L = 4W[/tex]
Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P = 2(L+W)\\\\30 = 2(4W + W)\\\\30 = 2(5W)\\\\30 = 10W\\\\W = \frac{30}{10}[/tex]
Width, W = 3 inches
For its length:
[tex]L = 4W\\\\L = 4(3)[/tex]
Length, L = 12 inches.
Now, we can determine the area of the rectangular sign by using the formula:
[tex]Area = LW\\\\Area = 12(3)[/tex]
Area = 36 square inches.
Therefore, the area of the rectangular sign is equal to 36 square inches.
Find more information: brainly.com/question/897975
ratio of 5 to 2 total number of servers and cooks is 42 how many servers
Answer:
30
Step-by-step explanation:
5 x 6 = 30
2 x 6 = 12
30+12 = 42
Divide the binomial by the monomial to find the quotient.
Answer:
9x²-36[tex]y^{5}[/tex]
Step-by-step explanation:
division time :)
and i'm stuck with this.
Answer:
Step-by-step explanation:
I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.
What is the percent?
32/80 = %/100
Answer: 40% OUT OF 100
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
9514 1404 393
Answer:
a = 6b = 22.5Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
help on picture 15 points
Answer:
2/3
Step-by-step explanation:
HELP ME ANSWER THIS PLEASEEE!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Apply the fraction rule,
Divide the Numbers,
Factor the Number, then cancel the common factor!
please help me :((((
Which of the following points are on the line 2x + 3y = 15?
a. (3, 3)
b. (9, -1)
c. (2.5, 3.5)
d. (-10.5, 12)
Answer:
A and B
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
I made a graph using “D e s m o s”
You can go on there too
Basically anything on the line would be the answer.
Sally is selling strawberries at the farmer’s market. She sells 5 boxes in the morning, and then sells half of the remaining boxes of strawberries by the end of the day. If Sally ended up with 9 boxes of strawberries left at the end of the day, how many boxes did she start with
Answer:
23 boxes
Step-by-step explanation:
x=5+9*2
Answer:
23
Step-by-step explanation:
I did this backwards.
Since we know that Sally ended up with 9 boxes of strawberries, and sold half of the remaining strawberries, she must've had 18 boxes. Adding the 5 boxes from the beginning gets us 18+5=23
You also could've wrote an equation.
x=boxes of strawberries
x the total amount of boxes in the beginning of the day
x-5 the 5 boxes she sold
(x-5)/2 half of the remaining boxes sold
(x-5)/2=9 the amount left
What is the value of z in the equation 5(2z+4)
Answer: z = -2
Step-by-step explanation:
5(2z + 4) = 0
10z + 20 = 0 [distributive property]
10z = -20 [carry over the 20]
z = -2 [divide]
Each day at the bakery, Jack bakes cakes and helps out at the counter.
What does the y-intercept of a trend line for this data represent?
Group of answer choices
total time spent baking cakes
average number of cakes per hour Jack can bake
average time it takes to bake one cake
average number of hours Jack works each day
Answer: i might be wrong but i think it would be 261. sorry if i made a mistake
whats5666778877 x 81 + 1
Answer: 459009089038
Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...
HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.
Explain how to find the slope of the line. And explain answer
Answer:
by using the slope incercept form: y=mx+b
this one is m=7/3 (m is the letter we use for the word slope btw) :)
Step-by-step explanation:
A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
A:
A)
17 inches
B)
2.4 inches
o
2.9 inches
D)
3.1 inches
Answer:
B) 2.4 inches
Step-by-step explanation:
The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in one month you need to divide the total by the amount of months. 28.8/12 = 2.4
.............helppppppppppppppppppp
Answer:
what????????????????
Answer: I think its A
Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.