Given:
A local carpenter uses the function f(x) to determine the amount earned after selling x number of book cases.
[tex]f(x)=180x[/tex]
He has to sell between 5 and 10 bookcases each month in order to meet his sales goal.
To find:
The domain for this situation.
Solution:
We have,
[tex]f(x)=180x[/tex]
where, f(x) is the amount earned be carpenter after selling x number of book cases.
Domain is the set of input values.
Here, input values are number of books he has to sell, which can be a fraction value.
Since, he has to sell between 5 and 10 bookcases each month in order to meet his sales goal, therefore the x values must be integers between 5 and 10.
Therefore, the domain for this situation is set of integers between 5 and 10, i.e., {5,6,7,8,9,10}.
Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)
Answer:
Step-by-step explanation:
a. If you want a return of 17 percent, how much will you pay for the stock?
The price of the stock can be calculated as:
= dividend next year/(required return - growth rate)
= 4.4/(17% - 5%)
= 4.4/12%
= 4.4/0.12
= 36.67
b. If you want a return of 10 percent, how much will you pay for the stock?
At 10%
= 4.4/(10% - 5%)
= 4.4/5%
= 4.4/0.05
= 88
1.
p: you pass the class
q: you go to the next grade
p -> ~q:_______________________________
~p->~q:_______________________________
Answer:
P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.
Step-by-step explanation:
In order to got to the next grade, you need to pass the class.
or
If you pass the class, you go to the next grade.
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. List the facts. * 4c + 5 = 27
Step-by-step explanation:
Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as
4c+5 = 27
From the equation, the constant value of 5 represents the calories in grams of the rest of the ingredients present in the bite.
Let us calculate the value of c from the equation
4c+5 = 27
4c + 5- 5 = 27-5
4c = 22
c = 22/4
c = 5.5
This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate
Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.
The measure of one angle of a linear pair is 80°. If the
measure of the other angle is 4x°, what is x?
4r – 4s+ 4 = - 4
4r + s - 2t=5
- 3r - 3s - 41= -16
Help please
Answer:
r=-2.00000
s=2.00000
The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server?
Answer:
12.8$
Step-by-step explanation:
20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.
Solve the inequality:
2x−9≥17
Select one:
x≤13
x≥3
x≤3
x≥13
Answer:
x≥13
Step-by-step explanation:
add 9 to both sides
2x≥26
divide both sides by 2
x≥13
0.333 repeating times 15. Please help me out and answer this question.
Answer:
4.995
Step-by-step explanation:
What is 4 divided by 3/5
Answer:
20/3 or 6 2/3
Step-by-step explanation: 4/1 times 5/3 multiply and you get 20/3
Answer:
6 2/3
Step-by-step explanation:
i can type 39 words 36 secs at this rate how many words will i type in one minute.
Answer:
65
Step-by-step explanation:
You can write it as a ratio. 39:36. You then have x:60. You can divide 36 by 60 and then divide 39 by that number (0.6)
Answer:
65 words perminute
Step-by-step explanation:
36/ 36=1
39/36= 13/12=1 1/12
1 1/12 x 60=65
Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?
Answer:
E. 120
Step-by-step explanation:
A. 40
B. 72
C. 80
D. 100
E. 120
Let
x = the intended distance
y = length of the pool
She covers one fifth of her intended distance
Distance covered = 1/5 of x
= x/5
After swimming six more lengths of the pool she had covered one quarter of her intended distance
x/5 + 6y = 1/4 of x
x/5 + 6y = x/4
Collect like terms
6y = x/4 - x/5
6y = 5x - 4x/20
6y = x/20
x = 20 * 6y
= 120y
x = 120y
The intended distance Rebecca wants to cover = 120
50+ POINTS I NEED HELP
Answer:
21 yard line
Step-by-step explanation:
Ok we start out on the 20 yard line, we need to add the yards together.
We add the 6 to the 20:
20+6=26
Then we subtract the 8 yards from our new 26:
26-8=18
Then we add the 18 by 3:
18+3=21
Therefore,
The Answer is 21 Yard Line.
Hope I could help, If you need some more assistance ask me!
Answer:
2 yard
Step-by-step explanation:
hola soy dora
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?
Answer:
0.55x = $27
Step-by-step explanation:
Let the price of the painting = x
x - 45% of x = $27
x - 0.45x = $27
0.55x = $27
Divide both sides by 0.55
0.55x/0.55 = $27/0.55
x = $49.09
Jill jumped 6 1 3feet in the long-jump event. Jill’s best friend jumped 6 5 7feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem
Answer:
Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.
Given m||n, find the value of x.
+
m
(2x+6)º(x+9)
Someone please help?
Answer:
x=55
Step-by-step explanation:
(2x+6)+(x+9)=3x+15
3x+15=180
3x=165
x=55
The length of the rectangle is four times it’s width. The rectangle has an area of 1024cm2. What is the width of the rectangle
Answer:
Length = 4 times width
Area = length * width
=(4w)w
=4w²
So 4w²=1024 cm² (given)
w²=1024/4=256
w=√(256 cm²)
=16 cm (reject negative value of square-root)
Step-by-step explanation:
Hope this helps you
Crown me as brainliest:)
Select all polynomials that are divisible by (x-1)(x−1)left parenthesis, x, minus, 1, right parenthesis. Choose all answers that apply: Choose all answers that apply: (Choice A) A A(x)=3x^3+2x^2-xA(x)=3x 3 +2x 2 −xA, left parenthesis, x, right parenthesis, equals, 3, x, cubed, plus, 2, x, squared, minus, x (Choice B) B B(x)=5x^3-4x^2-xB(x)=5x 3 −4x 2 −xB, left parenthesis, x, right parenthesis, equals, 5, x, cubed, minus, 4, x, squared, minus, x (Choice C) C C(x)=2x^3-3x^2+2x-1C(x)=2x 3 −3x 2 +2x−1C, left parenthesis, x, right parenthesis, equals, 2, x, cubed, minus, 3, x, squared, plus, 2, x, minus, 1 (Choice D) D D(x)=x^3+2x^2+3x+2D(x)=x 3 +2x 2 +3x+2
Answer:
Step-by-step explanation:
For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.
Since x-1 is a factor, we can get the value of x
x-1 = 0
x =0+1
x = 1
Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero
For A(x)=3x^3+2x^2-x
A(1) = 3(1)^3+2(1)^2-(1)
A(1) = 3+2-(1)
A(1) = 5-1
A(1) = 4
Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.
For B(x)=5x^3-4x^2-x
B(1)=5(1)^3-4(1)^2-1
B(1)=5-4-1
B(1)=1-1 = 0
Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x
For the polynomial C(x)= 2x^3-3x^2+2x-1
C(1)=2(1)^3-3(1)^2+2(1)-1
C(1)=2-3+2-1
C(1)= -1+1
C(1)= 0
Since C(1) = 0, hence x-1 is divisible by the
For the polynomial D(x)=x^3+2x^2+3x+2
D(1)=1^3+2(1)^2+3(1)+2
D(1)=1+2+3+2
D(x) = 8
Hence the polynomial D(x) is not divisible by x-1
Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1
Answer:
B(x) and C(x)
Step-by-step explanation:
The total amount of Keira's cell phone bill, b, varies directly with the number of text messages she sends, m. Which of the following equations best models the amount of money Keira must pay for her cell phone bill?
Victor is making recipes for smoothies. His first recipe calls for 2 cups of strawberries and 7 cups of other ingredients. His second recipe says that 3 cups of strawberries are combined with 9 cups of other ingredients. Which smoothie recipe has more strawberries compared to other ingredients?
Answer:
The second smoothie recipe has more strawberries compared to other ingredients
Step-by-step explanation:
Recipe 1:
2 cups of strawberries : 7 cups of other ingredients
= 2/7
= 0.29
Recipe 2:
3 cups of strawberries : 9 cups of other ingredients.
= 3/9
= 1/3
= 0.33
The second smoothie recipe has more strawberries compared to other ingredients
x/-8 = -3
help!!! needed urgently
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
DUE 10 MIN PLEASE HELP
show work
Answer:
10
Step-by-step explanation:
i just need some help on a few math questions. i'm very bad at math sorry :(
Answer:
Q1) D
Q2) A
Q3) A
Q4) I'm sorry I can't figure this one out
Q5)2.7
Step-by-step explanation:
HELPPPPP
Area between two points
You might need: Calculator, Z table
A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation
of 4 points.
What proportion of exam scores are bęween 82 and 85.6 points?
You may round your answer to four decimal places,
Show Calculator
Stuck? Watch a video or use a hint.
Report a problem
Answer:
0.2379
Step-by-step explanation:
Answer:
0.2379
Step-by-step explanation:
Khan
What is the measure of angle F?
A. Cannot be determined
B. 65°
C. 55°
D. 75°
Answer:
65 degrees since both opposite sides are 10
Answer:
65 degrees
Step-by-step explanation:
Just took the test
Round the factors and estimate the products.
a.
656 x 106 -
น
b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out
Answer:
a. 70,000
b. 24,000,000
c. 3,600,000
Step-by-step explanation:
You round all the numbers and multiply the rounded numbers.
So...
a. 656 = 700
106 = 100
7000*100= 70,000
b. 3108 = 3000
7942 = 8000
3000*8000= 24,000,000
c. 425 = 400
9311 = 9000
400*9000= 3,600,000
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!
Answer:
Step-by-step explanation:
Ist method - Area of the triangle + Area of the trapezium
Area of triangle = 1/2 × b × h
here, b = 8 cm but h is not given
so we will find h by pythagoras theorem
AC^2 = AB^2 + BC^2
10^2 = 8^2 + BC^2
100 = 64 + BC^2
BC^2 = 36
BC = √36
BC = 6
∴ h = 6cm
area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm^2
Area of trapezium = 1/2 ( a + b ) h
Here a = 13cm
b = 25 - 8 = 17 cm
h = 6 cm
So area = 1/2 ( a + b ) h
= 1/2 ( 13 + 17 ) 6
= 90 cm^2
So total area = Area of the triangle + Area of the trapezium
= 24 cm^2 + 90 cm^2 = 114 cm^2
2nd method - Area of the entire figure
Since the figure is a trapezium,
Area of trapezium = 1/2 ( a + b ) h
here, a = 13cm
b = 25 cm
h = 6 cm
Area of trapezium = 1/2 ( a + b ) h
= 1/2 ( 13 + 25 ) 6
= 114 cm^2
Hope this helps
plz mark as brainliest!!!!!!!!!!
answer:
not a very clear diagram sorry luv but i just cant really see the question <3
step-by-step explanation:
if 3n-4=8 then what is the value of 5n-3
Answer:
17
Step-by-step explanation:
Given
3n - 4 = 8 ( add 4 to both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Thus
5n - 3 = 5(4) - 3 = 20 - 3 = 17
HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6
A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90
8/15 = x/6
Using cross multiplication let us find the value of x .
= 15 × x = 6 × 8
= 15x = 48= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )
= x = 3.2
Therefore , the equation that can be used to solve the proportion :-
B. 15x = 48Answer:
its B
Step-by-step explanation: