Answer:
Colleen pays more sales tax. She pays $0.22 more sales tax than Brad.
Step-by-step explanation:
convert the percentage to a decimal and multiply by the amount paid to find sales tax
$32*0.09= $2.88
$38*0.07= $2.66
2.88-2.66= $0.22
hope this helps, crown if u can pls <3
give the simplest ratio for 56 :7
Answer and Step-by-step explanation:
The simplest ration would be 8 : 1, because both numbers are divisible by 7.
56 divided by 7 is 8, and 7 divided by 7 equals 1.
#teamtrees #PAW (Plant And Water)
Grade 12 Number Patterns:
The first, third and thirteenth terms of an arithmetic sequence are the first 3 terms of a geometric sequence. If the first term of both sequences is 1, determine:
1.) the first three terms of the geometric sequence if r > 1
2.) the sum of 7 terms of the geometric sequence if the sequence is 1, 5, 25
Answer:
1. The first three terms of the geometric sequence are 1, 5, 25
2. Sum of the 7th terms of the geometric sequence is 19531
Step-by-step explanation:
We'll begin by calculating the common ratio (r). This can be obtained as follow:
For Arthmetic sequence:
First term (a) = 1
3rd term (T₃) = a + 2d
3rd term (T₃) = 1 + 2d
13th term (T₁₃) = a + 12d
13th term (T₁₃) = 1 + 12d
For Geometric sequence:
First term (a) = 1
2nd term (T₂) = ar
2nd term (T₂) = 1 × r
2nd term (T₂) = r
3rd term (T₃) = ar²
3rd term (T₃) = 1 × r²
3rd term (T₃) = r²
From the question given above,
The first term of the arithmetic sequence is also the first term of the geometric sequence.
The 3rd term of the arithmetic sequence is the 2nd term of the geometric sequence i.e
3rd term (T₃) = 2nd term (T₂)
1 + 2d = r
The 13th term of arithmetic sequence is the 3rd term of the geometric sequence i.e
13th term (T₁₃) = 3rd term (T₃)
1 + 12d = r²
SUMMARY:
1 + 2d = r .... (1)
1 + 12d = r²..... (2)
Substitute value of r from equation 1 into equation 2
1 + 12d = (1 + 2d)²
1 + 12d = 1 + 2d + 2d + 4d²
1 + 12d = 1 + 4d + 4d²
Rearrange
1 – 1 + 4d – 12d + 4d² = 0
–8d + 4d² = 0
4d² – 8d = 0
4d(d – 2) = 0
d = 0 or 2
Since the common difference (d) can not be 0, thus, is 2
Substitute the value of d into equation 1
1 + 2d = r
d = 2
1 + 2(2) = r
1 + 4 = r
r = 5
Thus, the common ratio (r) is 5
1. Determination of the first three terms of the geometric sequence.
First term (a) = 1
Common ratio (r) = 5
2nd term (T₂) = ar
2nd term (T₂) = 1 × 5
2nd term (T₂) = 5
3rd term (T₃) = ar²
3rd term (T₃) = 1 × 5²
3rd term (T₃) = 1 × 25
3rd term (T₃) = 25
Thus, the first three terms of the geometric sequence are 1, 5, 25
2. Determination of the sum of 7th terms of the geometric sequence .
1, 5, 25
First term (a) = 1
Common ratio (r) = 5
Number of term (n) = 7
Sum of the 7th term (S₇) =?
Sₙ = a[rⁿ – 1]/r – 1
S₇ = 1[5⁷ – 1]/5 – 1
S₇ = [78125 – 1]/4
S₇ = 78124 / 4
S₇ = 19531
Thus, sum of the 7th terms of the geometric sequence is 19531
Whoever solves this correctly will get the brainiest
Answer:
43
Step-by-step explanation:
The IRS wants to develop a method for detecting whether or not individuals have overstated their deductions for charitable contributions on their tax returns. To assist in this effort, the IRS supplied data found in the file IRS.xlsx that accompanies this book listing the adjusted gross income (AGI) and charitable contributions for 11 taxpayers whose returns were audited and found to be correct.
Required:
a. Prepare a scatter plot of the data. Does there appear to be a linear relationship between these variables?
b. Develop a simple linear regression model that can be used to predict the level of charitable contributions from a return's AGI. What is the estimated regression equation?
c. Interpret the value of R2.
d. How might the IRS use the regression results to identify returns with unusually high charitable contributions?
Answer:
ŷ = 195.698X - 6169.941 ;
R² = 0.9224 ; About 92% variation in the value of Charitable contribution can be explained by the best fit line.
Step-by-step explanation:
The excel data:
AGI: (X) :
55
58
63
67
74
78
83
88
92
98
105
Charitable contribution Y:
4200
4800
6329
8017
7400
8600
12290
10406
11820
12090
14675
The scatter plot can b found in the picture attached below.
The estimated regression equation obtained is :
ŷ = 195.698X - 6169.941
Where ;
slope of the regression line = 195.698 ;
Intercept = - 6169.941
The R² value is called the Coefficient of determination which gives the proportion of variation due to the best fit line. Using the Coefficient determination calculator ; R² = 0.9224
About 92% variation in the value of Charitable contribution can be explained by the best fit line.
Å container of height 30cm has a capacity of 1.5 litres.What is the capacity of a similar container of height 3.0cm
Answer:
0.15 litre
Step-by-step explanation:
(3/30)(1.5) = 0.15 litre
Find the area of the parallelogram below by decomposing into two triangles. The figure is not drawn to scale.
Answer:
Step-by-step explanation:
area of a triangle = (½)(base)(height)
You can divide the parallelogram into two congruent triangles with base = 8 mi and height = 10 mi.
area of each triangle = (½)(8)(10) = 40 mi²
area of parallelogram = 2(40) = 80 mi²
The table shows several points for function f(x).
A 2-column table with 8 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4, 6, 8, 10. Column 2 is labeled f (x) with entries 19, 15, 11, negative 6, negative 7, negative 8, negative 10, negative 14.
Which statement correctly identifies a point on the graph of f–1(x)?
A. The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).
B. The point (–2, 15) is on the graph of f(x), so the point (2, –15) will be on the graph of f–1(x).
C. The point (–4, 19) is on the graph of f(x), so the point (–4, –19) will be on the graph of f–1(x).
D. The point (10, –14) is on the graph of f(x), so the point (–14, 10) will be on the graph of f–1(x).
Answer:
The answer is D.
Step-by-step explanation:
Just took the test. Got 100%.
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef
wants to make 200 milliliters of a dressing that is 9% vinegar. How much of each brand should she use?
Answer:
The chef will use 120 milliliters of 11% vinegar, and 80 milliliters of 6% vinegar.
Step-by-step explanation:
Since a chef is going to use a mixture of two brands of Italian dressing, and the first brand contains 6% vinegar, and the second brand contains 11% vinegar, and the chef wants to make 200 milliliters of a dressing that is 9% vinegar, to determine how much of each brand should she use the following calculation must be performed:
100 x 0.11 + 0 x 0.06 = 11
90 x 0.11 + 10 x 0.06 = 10.5
80 x 0.11 + 20 x 0.06 = 10
70 x 0.11 + 30 x 0.06 = 9.5
60 x 0.11 + 40 x 0.06 = 9
200 x 0.6 = 120
200 x 0.4 = 80
Thus, the chef will use 120 milliliters of 11% vinegar, and 80 milliliters of 6% vinegar.
Find the distance d. Assume that the ratio of d to 60 ft is the same as the ratio of 40 ft to 30 ft.
Answer:
If [tex]\frac{d}{60} = \frac{40}{30}[/tex] then [tex]d = 2\cdot40 = \boxed{80}[/tex].
Hope this helps!
solve for x please help
Answer:
x is 22
Step-by-step explanation:
because it is
when comparing data quickly, it’s best to use a
A. bar graph
B. pie graph
C. line graph
D. scatter plot
Answer:
line graph
Step-by-step explanation:
usa testprep
An airplane is 12,000 ft above sea level, and there's a submarine that is 2,000 ft below sea level. What is the distance between the airplane and submarine?
Answer:
14,000 feet
Step-by-step explanation:
hope this helps :)
Which expression is equal to x−5x2+3−x2−x+4x2+3 ?
the third option. I think
A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 27 subs today. How many of each kind
did they sell?
Answer:
4+5=9
27÷9=3
they sold 3 types of each because if you do 3×5=15 and 3×4=12 and add 12 and 15 you get 27.
An escalator lifts people to the second floor of a building, 21 ft above the first floor. The escalator rises at a 30° angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answer:
42
Step-by-step explanation:
Sin 30=21/H
H=21/sin 30
H= 42
please hurry.-. and if u can give all answers to the lesson
The lengths of the sides of a triangle are 12,6 V3 and 6. Classify this triangle,
A)
right, scalene triangle
B)
acute, scalene triangle
o
obtuse, scalene triangle
D)
right, isosceles triangle
Answer:
right,scalene triangle
Which equation could have been used to create the function table?
Answer:
y=x+6
if im not mistaken
Step-by-step explanation:
use y=m×+b
so get ur two points (2,8) (5,11)
then divide them where they supposed to be the y-coordinates on the top and the x-coordinates on the bottom so like
8-11/2-5 and that equals 1
sense you have ur M well ur slope use y=m×+b
so its going to be (8=(1(2)+b) which equals 6 so ur b will be 6
1. How would you describe your ability to apply rules for dividing powers ?
Need answer for edge
Answer:
i, I believe since √-1 = 0
Answer:
-i
Step-by-step explanation:
it means i * i * i
when you square i you get -1 so, -1 * i = -i
hope this helped, feel free to ask more questions :)
Which is the graph of the function f(x) = x2 + 2x + 3? On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3). On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3). AAAAAAA
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Work out m and c for the line:
y = 2 x + 1
Answer:
m=2
c=1
Step-by-step explanation:
y=mx+c
m=slope
c=y-intercept
y=2x+1
4 1/10=
simplify? improper fraction?
Answer:
41/10
Step-by-step explanation:
Popper Jackie decides her map of the youth center is too small.
She draws a new map of the youth center that is 3 times larger.
What is the scale of the new map?
I in.: 12 ft
I mi : 15 Ft
1 in. : 4 ft
1 in. : 36 Ft
Old Map
New Map
18 in.
Actual: 72 ft
6 in.
scale = 1 in. : 12 ft
Answer:
Step-by-step explanation:
Help ASAP plzzzz I need help
Answer:
The answer is about 43.9 and if you have to round 44.
Step-by-step explanation:
To find circumference, you need the equasion [tex]2\pi r[/tex]. To break it down, 2 multiplied by pi then multiplied by the radius. The radius is 7in because the length line on the side goes from the middle, then to the edge. This matches the description of radius. So we take the radius, then multiply it by pi then multiply it by 2.
The question is in the graph. Please help.
Answer:
A I think
Step-by-step explanation:
because if you add them up.
Answer:
Aprox. 216 days
Step-by-step explanation:
Add the counts of the green bar(5-10mm) and the brown bar (0-5mm).
The brown is roughly 130 and the green is roughly 80, which is approx 216 days.
If i helped, a brainliest answer would be greatly appreciated!
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
47.2
Step-by-step explanation:
Multiply X and Y, then add Z
Answer:
xy + z = 47.2
Step-by-step explanation:
Ok so you are given that x = 2, y = 18, and z = 11.2. You will plug these number in the equation in order to find the answer. :-
x = 2, y = 18, z = 11.2
xy + z
2(18) + 11.2
36 + 11.2
47.2
Hope this helps, thank you :) !!
I take a picture the Letter D because cant see it so i take a picture so can see help pls.
Answer:
D
Step-by-step explanation:
can someone one example please?
Answer:
A. 4 and 5
Step-by-step explanation:
You know that 4^2 is 16 and 5^2 is 25. [tex]\sqrt{16}[/tex] is 4 and [tex]\sqrt{25}[/tex] is 5, so [tex]\sqrt{20}[/tex] must be somewhere in between 4 and 5.
What is the slope of the line that contains these
points?
X=
-1 1
3
5
у=
10
2
-6
-14
Answer:
The slops is -4
Step-by-step explanation:
Given
x: -1 1 3 5
y: 10 2 -6 -14
Required
The slope
Pick any pair of x and y
[tex](x_1,y_1) = (-1,10)[/tex]
[tex](x_2,y_2) = (1,2)[/tex]
The slope is:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{2 -10}{1 --1}[/tex]
[tex]m = \frac{-8}{2}[/tex]
[tex]m = -4[/tex]
