Answer: $96,220
Step-by-step explanation:
From the questionwe are we informed that Daniel is a very good television salesperson and that his annual sales average at $187,400 and his commission on sales is 30% while his annual base salary is $40,000.
His annual gross income will be his annual base salary plus commission annually. This will be:
= $40,000 + (30% × $187,400)
= $40,000 + (0.3 × $187,400)
= $40,000 + $56,220
= $96,220
What is the reason for statement 3 in this proof?
Answer:
d
Step-by-step explanation:
Answer: E definition of midpoint
Step-by-step explanation:
Correct on Plato
Anybody can I know is this the working and the answer are right? If any wrong plssss tell me..
Answer:
[tex]\boxed{Domain = \{3,6,9\}}[/tex]
[tex]\boxed{Range = \{9,18\}}[/tex]
Step-by-step explanation:
The relation is:
=> {(3,9)(3,18)(6,18)(9,18)}
Domain => x inputs of the ordered pair
Domain = {3,6,9}
Range => y inputs of the ordered pair
Range = {9,18}
14
Select the correct answer
Which equation describes the line graphed above?
OA y = -41 - 5
OB. y = -x - 4
oc y = -51 - 4
Answer:
Option B
Step-by-step explanation:
Hope it is right
The value of equation describes the line graphed is,
⇒ y = -1/5x - 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, -4) and (5, -5).
Now,
Since, The equation of line passes through the points (0, -4) and (5, -5).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 5 - (-4)) / (5 - 0)
m = - 1 / 5
Thus, The equation of line with slope - 1/5 is,
⇒ y - (-4) = -1/5 (x - 0)
⇒ y + 4 = -1/5x
⇒ y = -1/5x - 4
Therefore, The equation of line passes through the points (0, -4) and
(5, -5). will be;
⇒ y = -1/5x - 4
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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What are the three prime numbers between 40 and 50
Answer:
41, 43, and 47
Step-by-step explanation:
The numbers between 40 and 50 are:
41, 42, 43, 44, 45, 46, 47, 48, and 49
Prime numbers are numbers that have only 2 factors, 1 and themselves.
So from the numbers above we are now able to find the prime numbers.
1 * 41 = 41
1 * 43 = 43
1* 47 = 47
41, 43, and 47 have only 2 factors, 1 and themselves.
Hope this helps!!
The percent of a country's households with broadband Internet access can be modeled by the function f left parenthesis x right parenthesisequalsnegative 0.11 x squared plus 6.51 x plus 3, where f left parenthesis x right parenthesis is the projected percent of households with broadband Internet access and x is the number of years since 2000.
a. Will this function have a maximum or a minimum? How can you tell?
b. According to this model, in what year will the percent of homes with broadband Internet access be at its maximum or minimum?
c. What is the predicted maximum/minimum percent of homes with broadband Internet access?
Answer:
a) The function has a maximum at x = 29,59
b) 99,32 %
Step-by-step explanation:
f(x) = -0,11*x² + 6,51*x + 3
Then:
f´(x) = -0,22*x + 6,51
If f´(x) = 0 then - 0,22*x + 6,51 = 0
0,22*x = 6,51
x = 6,51/0,22 ⇒ x = 29,59
if we get the second derivative
f´´(x) = - 0,22 f´´(x) < 0 then we have a maximun at x = 29,59
a) the function has a maximum
b) 29,59 years after 2000 ( in 2030 )
c) f(x) = - 0,11*x² + 6,51*x + 3
f(29,59) = - (0,11)* (29,59)² + 6,51*29,59 + 3
f(29,59) = 99,32 %
A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?
Answer:
Height is 5.3 inches.
Step-by-step explanation:
2* base + 2*height = 35.8
2*12.6 + 2h = 35.8
h = (35.8 - 2(12.6) / 2
= (35.8 - 25.2) /2
= 10.6 / 2
= 5.3 inches.
Answer:
5.3inStep-by-step explanation:
The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
l - length
w - width
We have
[tex]P=35.8in\\l=12.6in[/tex]
Substitute:
[tex]35.8=2(12.6+w)[/tex] divide both sides by 2
[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]
[tex]17.9=12.6+w[/tex] subtract 12.6 from both sides
[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]
What will be the sign of the product if we multiply together 199 negative and 10 positive integers?
Two adjacent sides of a parallelogram
are 3473' and 4822', respectively. The
angle between these two sides is 72.23º.
Find the length of the longer diagonal.
D
4822
3473
b
a
A
72.23
C
B
Round to the nearest foot.
Enter
Answer:
6748'
Step-by-step explanation:
The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.
a^2 = b^2 +c^2 -2bc·cos(A)
a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)
a^2 = 45,535,553.83
a ≈ 6748.004
The longer diagonal is about 6758 feet long.
The art club is planning a meeting. They are planning to serve cookies and brownie bites and want to have one dessert per person. They expect an attendance of a total of 75 people. Cupcakes (c), come in packs of 6 each, and the brownie bites (b) come in packages of 15. (here is the equation > 6c+15b=75).
Question #1) If the treasurer buys 1 package of brownie bites, how many packages of cupcakes are needed according to this equation? Question #2) If the treasurer buys 7 packages of brownie bites, how many packages of cupcakes are needed according to this equation?
Answer:
see explanation
Step-by-step explanation:
1) 6c + 15(1) = 75
6c = 60
c = 10 packs of cupcakes
2) 6c + 15(7) = 75
6c + 105 = 75
6c = -30
c = -5, since he bought more brownies than needed, he does not need to buy any cupcakes.
Answer:
6c+15b=75
1)If the treasurer buys 1 package of brownie bites
6(1)+15b=75
15b=75-6
b=69/15=4.6 ( means the treasure needs to buy 5 packages).
2): If the treasurer buys 7 packages of brownie bites,
6c+15(7)=75
6c+105=75
c=-30/6=-5( you can not buy negative amount)
the treasure does not need to buy, because brownies are enough and more.
g(x)=x2+4 make a table of values
Answer:
Step-by-step explanation:
You can make a table of values by plugging in values to x^2+4.
If x=1 the answer is 5
If x=2 the answer is 8
If x=3 the answer is 13
If x=4 the answer is 20
If x=5 the answer is 25.
And we have a table of values!
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer: A
Step-by-step explanation:
The slope which is also known as gradient can be Mathematically defined as change in dependent variable divide by the change in independent variable.
Slope can rate of increase when it is positive. And rate of decrease when it is negative.
Since the slope of the line through the points is 2. Which is positive, the correct option that describes how the slope relates to the height of the water in the pool is therefore;
The height of the water increases 2 inches per minute. Which is option A
What is the smallest value of x that satisfies the equation 8x^2 - 38x + 35 = 0? Express your answer as a decimal.
Answer:
1.25
Step-by-step explanation:
8x² -38x + 35 = 0
8x² - 10x - 28x + 35 = 0
2x(4x - 5)-7(4x - 5) = 0
(4x−5)(2x−7) = 0
4x - 5 = 0 or 2x - 7 = 0
x = 5/4 or x = 7/2
x = 1.25 or 3.5
Smallest value being = 1.25
Describe each polynomial expression by type and components based on the example
shown.
3x² + 2x
2x²–5x+3
• 6x
Answer:
The first 3x^2 + 2x is a second degree polynomial, so it's a quadratic binomial (2 terms). The second 2x^2 - 5x + 3 is a second degree trinomial (3 terms), and the third is a monomial (1 term). Not sure if that's what you were looking for.
Step-by-step explantion:
Answer with steps!... Thanks
Answer:
A) False
B) True
Step-by-step explanation:
For A) First let's do x/11 = 15. If you solved it by now, you will know that the answer is 0.7333333. So now you just do 11x15. Because the answer is different then the answer we got when doing the division, the answer for A is false
For B) B is definitely true because equation are any mathematical sentences that have an equation symbol. So it's like saying 8x3=24 and 6x4=24. These two equations end up with the same answer so B is true.
I hope this helped you find out the rest :)
What is the surface area of the box if it is scaled up by a factor of 10? Boxes Dimensions 7in Height 6in Length 2in Width
Answer:
13,600 [tex]in^{2}[/tex]
Step-by-step explanation:
(h = 7, l = 6, w = 2) 10
70, 60, 20
2(h × w) + 2(h × l) + 2(w × l)
= 2(70 × 20) + 2(70 × 60) + 2(20 × 60)
= 2(1400) + 2(4200) + 2(1200)
= 2800 + 8400 + 2400
= 13,600
commander wished to arrange his 8,000 soldiers in the form of a square how many more will be required to complete the square
Answer:
100
Step-by-step explanation:
Hello,
We are looking for the surrounding perfect squares.
[tex]\sqrt{8000}=89.44272...[/tex]
so
[tex]7921=89^2< 8000<90^2=8100[/tex]
So we need 100 more soldiers to form a perfect square.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
noint value are on the test
Let X be the number of questions worth 5 points, and let Y be the number of questions worth 2 points
(Answers are in the picture)
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Has 29 problems
then
x + y = 29
x be the number of worth 5 points questions:
5x
y be the number of worth 2 points questions
2y
the total both worth is 100 points
then:
5x + 2y = 100
Answer:
x + y = 29 5x + 2y = 100
Answer:
answer in picture
Step-by-step explanation:
Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%.
7
What was the cost of the bonds?
What was the total annual interest?
What is the yield?
Answer:
if he bought 6 bonds at $1,000 each, then 6*1000
Step-by-step explanation:
if the interest is 6.5%, then the annual interst is also 6.5%
Answer:
6.5% should be the answer of annual
Determine how many litres of water will fit inside the following container. Round answer and all calculations to the nearest whole number.
Answer:
[tex]\approx[/tex] 11 litres of water will fit inside the container.
Step-by-step explanation:
As per the given figure, we have a container formed with combination of a right angled cone placed at the top of a right cylinder.
Given:
Height of cylinder, [tex]h_1[/tex] = 15 cm
Diameter of cylinder/ cone, D = 26 cm
Slant height of cone, l = 20 cm
Here, we need to find the volume of container.[tex]\\Volume_{Container} = Volume_{Cylinder}+Volume_{Cone}\\\Rightarrow Volume_{Container} = \pi r_1^2 h_1+\dfrac{1}{3}\pi r_2^2 h_2[/tex]
Here,
[tex]r_1=r_2 = \dfrac{Diameter}{2} = \dfrac{26}{2} =13\ cm[/tex]
To find the Height of Cylinder, we can use the following formula:
[tex]l^2 = r_2^2+h_2^2\\\Rightarrow h_2^2 = 20^2-13^2\\\Rightarrow h_2^2 = 400-169\\\Rightarrow h_2^2 = 231\\\Rightarrow h_2=15.2\ cm \approx 15\ cm[/tex]
Now, putting the values to find the volume of container:
[tex]Volume_{Container} = \pi \times 13^2 \times 15+\dfrac{1}{3}\pi \times 13^2 \times 15\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 15+\pi \times 13^2 \times 5\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 20\\\Rightarrow Volume_{Container} = 10613.2 \approx 10613\ cm^3[/tex]
Converting [tex]cm^{3 }[/tex] to litres:
[tex]10613 cm^3 = 10.613\ litres \approx 11\ litres[/tex]
[tex]\approx[/tex] 11 litres of water will fit inside the container.
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answer:
x= -5
Step-by-step explanation:
The solution of f(x) = g(x) is where both functions intercept
they intercept in x = -5
Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)? 2x – 8(x + 2y) + (y – 7x) 2x – 3 – 5(3y – 6x) 2x – 3x – 6y – 5y + 35x 2x + 3x + 6y + 5y – 35x
Answer:
2x - 3x -6y - 5y +35x
Step-by-step explanation:
-3 multiplied by x is -3x
-3 multiplied by +2y is -6y
-5 multiplied by y is -5y
-5 multiplied by -7x is +35x
2x remains the same.
Answer:
c. 2x – 3x – 6y – 5y + 35x
Step-by-step explanation:
edge 2021
(:
Please Help!! Only Anwser If You Know It!!!
Answer:
It will be compressed vertically
Step-by-step explanation:
y = Cf(x) 0 < C < 1 compresses it in the y-direction
Since we are multiplying by 1/4 it will compress it by 1/4 in the y direction
Answer:
When you multiply the whole function by a constant, which can be identified as "C", you can have the following situations:
- If the function is stretched.
- - If the function is compressed.
You have that 0<1/4<1
Therefore, you can conclude that be compressed vertically.
Step-by-step explanation:
The given function is f (x) = x²
The new function is f 1 (x) = 1/4 x².
The general function of the form is f(x) = a · x²
i) If |a| < 1 the graph is compressed vertically by a factor of a.
ii) If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/4 < 1
a circular garden has a diameter of 6 yards.What is the area of the garden. Use 3.14
Answer:
28.26 yd^2
Step-by-step explanation:
A = 3.14 • r^2
Radius is half of the diameter, so 3.
A = 3.14 • 3^2
A = 3.15 • 9
A = 28.26 yd^2
Answer: The area of the garden is 28.26
Step-by-step explanation:
1. Divide the diameter in half, that gives you the radius, in this case: 3
2. Use the formula for finding the area with the radius: A= π r², and use 3.14 instead of pi. Multiply 3.14 by 3²
3. You should get 28.26 as your answer.
What is 50 + 30(0) - 30?
Answer:
20
Step-by-step explanation:
30(0)
= 0
50 + 0 - 30
= 50 - 30
= 20
Answer:
20
Step-by-step explanation:
We know that 30 × 0 = 0. Next, we can take 50 and add 0 which is still 50. Now, we take 50 - 30 which equals to 20.
the diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part
Answer:
[tex]71.63 \: \: \mathrm{cm^2 }[/tex]
Step-by-step explanation:
Once we know the diameter of the circle, we can figure out the problem.
The diameter of the circle = The diagonal of the rectangle inscribed in the circle
To find the diagonal of the rectangle, we can use a formula.
[tex]d=\sqrt{w^2 + l^2}[/tex]
The width is 10 cm and the length is 12 cm.
[tex]d=\sqrt{10^2 + 12^2}[/tex]
[tex]d \approx 15.62[/tex]
The diagonal of the rectangle inscribed in the circle is 15.62 cm.
The diameter of the circle is 15.62 cm.
Find the area of the whole circle.
[tex]A=\pi r^2[/tex]
The [tex]r[/tex] is the radius of the circle, to find radius from diameter we can divide the value by 2.
[tex]r = \frac{d}{2}[/tex]
[tex]r=\frac{15.62}{2}[/tex]
[tex]r=7.81[/tex]
Let’s find the area now.
[tex]A=\pi (7.81)^2[/tex]
[tex]A \approx 191.625[/tex]
Find the area of rectangle.
[tex]A=lw[/tex]
Length × Width.
[tex]A = 12 \times 10[/tex]
[tex]A=120[/tex]
Subtract the area of the whole circle with the area of rectangle to find area of shaded part.
[tex]191.625-120[/tex]
[tex]71.625 \approx 71.63[/tex]
determine the area and the circumference of the flat shape
Answer:
Hey there!
Circumference: [tex]2\pi r+95+95[/tex]
Area: [tex]\pi r^2+70(95)[/tex]
r=35
Circumference: 410
Area: 10498.
Hope this helps :)
Answer:
Area= 10498.5 cm²
Step-by-step explanation:
Area of rectangle= l x w
= 95 x 70 = 6650
Area of circle = πr²
= π x 35²
= 1225π
=3838.5 cm²
Area of shape: 6650 + 3848.5 = 10498.5 cm²
How many seconds will elapse between seeing lightning and hearing the thunder if the lightning strikes 5.0 mi (26,400 ft) away and the air temperature is 83.6°F?
Answer:
Time taken = 23.10 sec (Approx)
Step-by-step explanation:
Given:
Distance of lighting = 5 mi = 26,400 ft
Air temperature =83.6°F = 28.67°FC
Computation:
Speed of the sound
V = 331 + 0.61 × T
V = 331 + 0.6 × 28.67
V = 348.202 m/s
Distance = 5 mi = 8,046.72 m
Time taken = Distance / Speed
Time taken = 8,046.72 / 348.202
Time taken = 23.10 sec (Approx)
TRUE OF FALSE : -2 > 6
Answer: False for sure
Answer:
[tex]\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex]-2<6[/tex]
-2 is less than 6.
6 is a greater value than -2.
which of the following rational functions is graphed below?
Answer:
[tex]\textbf{A. }F(x)=\dfrac{1}{(x-3)^2}[/tex]
Step-by-step explanation:
The parent function 1/x² is shifted 3 units to the right. That means x has been replaced by x-3:
F(x) = 1/(x -3)²
How many prime positive integers are divisors of 555?
Answer:
1,3,5,15,37,111,185,555
Step-by-step explanation:
8 total
Answer:Answer: Did you get helped on this one?
Step-by-step explanation:okay yup yup have a good ONE