Mrs. Davis earns $100 per week plus 6% commission on all of her sales. If she sells a house this month worth $120,000, what is her total income for the month (Assume 4 weeks = 1 month)?
Answer:
$7600
Step-by-step explanation:
total income = 120,000(.06)+100(4)
total income= 7200+400
total income = 7600
.
The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420)) gave the accompanying data on
y= maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and
x= squawfish length, both in mm.
Use the following statistics to give the equation of the least squares regression line.
x=524.880,
y=413.975,sx=12.251,sy=12.300,
r=0.9562
options:
a) ^y=0.960xâ89.910
b) ^y=0.960x+89.910
c) ^y=â89.910x+0.960
d) ^y=0.952x+89.910
e) ^y=0.952xâ89.910
f) None of the above
Answer:
the correct answer is not there. here it is:
^y = 0.960x - 89.910
Step-by-step explanation:
we have regression line equation as:
^y = a+bx
we have the following details available
x = 524.88
y = 413.975
Sx = 12.251
Sy = 12.300
r = 0.9562
we have to find values of a and b
b = rSy/Sx
= 0.9562(12.3)/12.251
= 11.76126/12.251
= 0.960
a = y - intercept
= 413.975-0.96(524.88)
= 413.975-503.8848
= - 89.9098
a = -89.910
putting these values into the equation, we have:
^y = -89.910 + 0.9600x
which is also
^y = 0.960x - 89.910
T-shirts
$7.50
Shorts
$9.00
Windbreakers
$12.25
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
$958.75
$973.75
$1,021.25
$1,038.75
Answer:
$973.75
Step-by-step explanation:
7.50x35=262.5
45x9.00=405
25x12.25=306.25
If you add all the sums together you would get $973.75
For each equation below, determine if the given value is a solution or not. 12- x= x, x = 3
Answer:
no that is not a solution
Step-by-step explanation:
12-x=x or 12-3=3 is not a solution because the answer doesnt make the equation
If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price.
Answer:
hope it helps...
Step-by-step explanation:
25/100 x 79
= 19.75
= 79 - 19.75
= $59.25 (before tax)
7/100 x 59.25
= 414.75/100
= 4.15
= 59.25 + 4.15
= $63.4 (after adding tax)
First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.
Grayson wrote 1.47 divided by 7 = 2.1.
Why is his thinking incorrect?
Answer: he needs to put the decimal in front of the 2 so it can be 0.21
Step-by-step explanation:
Answer:
he has to put the decimal point in front of the 2
hope this helps
Solve each problem as indicated.
(-26) (10) =
please help! will mark brainliest!
Answer:
I'd say the second answer.
Step-by-step explanation:
Find the sigma notation of the following sum:
[tex][(\frac{2}{n})^3-\frac{2}{n} ](\frac{2}{n} )+...+[(\frac{2n}{n} )^3-\frac{2n}{n} ](\frac{2}{n} )[/tex]
Answer:
[tex]\displaystyle \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]
Step-by-step explanation:
We have the sum:
[tex]\displaystyle \left[\left(\frac{2}{n}\right)}^3-\frac{2}{n}\right]\left(\frac{2}{n}\right)+...+\left[ \left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\left(\frac{2}{n}\right)[/tex]
And we want to find the sigma notation that represents the sum.
Note that the leftmost term is the first term while the rightmost term is the last term.
n is the number of terms. Therefore, (2 / n) will stay constant. Hence, we can factor it out of the series:
[tex]\displaystyle =\frac{2}{n}\left(\left[\left(\frac{2}{n}\right)^3-\frac{2}{n}\right]+...+\left[\left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\right)[/tex]
Notice the differences between the first term and the last term. The first term is given by [tex]\displaystyle \left(\frac{2}{n}\right)^3- \frac{2}{n}[/tex]. The last term is given by [tex]\displaystyle \left(\frac{2n}{n}\right)^3- \frac{2n}{n}[/tex]. Because at the last term, our initial term i is equal to n, we can replace the extra n with i for our summation.
Therefore, we can write the following summation:
[tex]=\displaystyle \sum_{i=1}^{n} \frac{2}{n}\left(\left[\left(\frac{2i}{n}\right)^3-\frac{2i}{n}\right]\right)[/tex]
And since (2 / n) is constant:
[tex]\displaystyle = \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]
An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is programmed to go on at a randomly selected time after the subject clicks "Start." The density curve models the amount of time the subject has to wait for the light to flash. a. What height must the density curve have? Justify your answer. b. About what percent of the time will the light flash more than 3.75 seconds after the subject clicks "Start"? c. Calculate and interpret the 38th percentile of this distribution.
Using the uniform distribution, it is found that:
a) The height of the density curve is of 0.25.
b) 31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".
c) The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.
Uniform distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, uniform between 1 and 5, hence [tex]a = 1, b = 5[/tex]
Item a:
The height of the uniform distribution is:
[tex]h = \frac{1}{b - a}[/tex]
Hence:
[tex]h = \frac{1}{5 - 1} = 0.25[/tex]
Item b:
[tex]P(X > 3.75) = \frac{5 - 3.75}{5 - 1} = 0.3125[/tex]
0.3125 x 100% = 31.25%
31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".
Item c:
The 38% percentile is x for which P(X < x) = 0.38, hence:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.38 = \frac{x - 1}{4}[/tex]
[tex]x - 1 = 4(0.38)[/tex]
[tex]x = 2.52[/tex]
The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.
A similar problem is given at https://brainly.com/question/15855314
A cylinder has a radius of 1 inch and height of 1 inch.
What is the approximate volume of the cylinder? Round to the nearest hundredth. Use 3.14 for π.
1.05 cubic inches
1.57 cubic inches
3.14 cubic inches
6.28 cubic inches
Answer:
3.14, confirmed on Edge
Step-by-step explanation:
Since this cylinder has a radius of 1 inch, its volume is equal to 3.14 cubic inches.
Given the following data:
Radius of cylinder = 1 inch.
Height of can = 1 inch.
[tex]\pi =3.14[/tex]How to calculate the volume.Mathematically, the volume of a cylinder is given by this formula:
[tex]V = \pi r^2h[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V = 3.14 \times 1^2 \times 1\\\\V=3.14 \times 1[/tex]
V = 3.14 cubic inches.
Read more on cylinder here: brainly.com/question/21367171
write and equation to solve for x your only writing the equation will mark brainiest I've got five more questions to go if anybody can help me I give high points 3x +10 3x-28 there's 2 answers 3x+10=3x-28 or 3x+10+3x-28=180 please help 3 questions left
Answer:
3x + 10 + 3x - 28 = 180Step-by-step explanation:
the equation is 3x + 10 + 3x - 28 = 180
In triangle ABC, it is given that A = 70 degree, B = 52 degree, BO and CO are the bisectors of angle B and angle C
respectively. Find angle OCB andangle BOC.
Answer:
Angle OCB= 35 degrees and Angle BOC= 119
Step-by-step explanation:
ANGLE OCB= 1/2 C (Construction of bisector)
= 1/2 70
= 35
ANGLE OBC= 1/2 B (Construction of bisector)
= 1/2 52
= 26
Therefore, in triangle BOC,
180 degree= ANGLE OBC+ANGLE BOC+ANGLE OCB
180= 35+26+ANGLE BOC
180= 61+ANGLE BOC
ANGLE BOC= 180-61
ANGLE BOC= 119
Answer:
angle ocb=58°
angleboc=96°
Step-by-step explanation:
first get the measure of angle acb which is 58°
this is becoz the total angles in a triangle add up to 180°
angle cbo =26° and angle bco=58°
therefore to get the remaining angle boc ,u add 58 &26 ,then minus from 180
the answer is 96°
What does B x h stand for?
Sketch 9 red counters and 4 yellow counters. How many zero pairs can you make ? How many counters do you have after you remobe the zero pira ? What do they represent ?
Answer:
You have 5 yellow counters left because you can make 4 zero pairs, the zero pairs represent the even amount that when they get added together they cancel out
Step-by-step explanation:
Yellow-1,2,3,4,
Red-1,2,3,4,5,6,7,8,9
Cancel out-1,2,3,4
Left with-5,6,7,8,9
9x-(-2y)-8x-(-12y) simplify
Answer:
x+14y
Step-by-step explanation:
9x+2y-8x+12y
x+14y
(1/5) ^ 3 * (1/5) ^ 4 * (1/5) =
9514 1404 393
Answer:
(1/5)^8
Step-by-step explanation:
The applicable rules of exponents are ...
a = a^1
(a^b)(a^c) = a^(b+c)
__
(1/5)^3 · (1/5)^4 · (1/5) = (1/5)^(3+4+1) = (1/5)^8
= 1/390625
What is the expression -7(3z + 5t - 3g) in simplest form?
Answer:
-3z-5t+3g
Step-by-step explanation:
-7(3z+5t-3g)
= -7×3z +( -7×5t)( -7×-3g)
= -21z-35t+21g
divide all elements by 7
= -21÷7 -35÷7+21÷7
= -3z-5t+3g
IF YOU CAN HELP ME I WILL LITERALLY BE SO HAPPY AND ILL FAV U TO GET SO MANY POINTS
THE WATER COMPANY INSTALLED A 40 YARD DIAGONAL BRACE ON A WATER TOWER BETWEEN TWO VERTICAL BEAMS THAT ARE 12 YARDS APART. DETERMINE THE HEIGHT OF EACH VERTICAL BEAM.
Answer:
120 yatds
Step-by-step explanation:
The height of each vertical beam is approximately 38.16 yards.
Becka borrowed $460 from her cousin at the rate of 8.5% per year. If the inflation rate was 2.7% that year, what is her cousin's actual rate of return on the loan?
Answer:4%
Step-by-step explanation:
6%-2%=4%
You are playing a video game. For each diamond you collect, you earn 100 points. You also earn 75 bonus points by completing the level in less than 2 minutes. You need to earn more than 1575 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
The data that we have is:
For each diamond, you earn 100 points.
If you complete the level in less than 2 minutes, you earn a bonus of 75 points.
You want to earn more than 1575 points.
Now, assuming that you want to write and solve n inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Because you end in less than 2 minutes, then you have the bonus of 75 points.
Then the number of points as a function of d, the number of diamonds, is:
P(d) = 100*d + 75
And you want that:
P(d) > 1575
100*d + 75 > 1575
Now we can solve this for d.
100d > 1575 - 75
100d > 1500
d > 1500/100
d > 15
You must collect more than 15 diamonds.
Factor the trinomial
3n²-8n+4
Answer:
(3n-2)(n-2)
Step-by-step explanation:
Help me ASAP!!pls I don’t get it:(
Would someone help me to understand this math. Thank you
LINES & LINE SEGMENTS ASSIGNMENT
Plot the following points on the number line below:
A: -25 B: -17 C: -13
D: -1 E: 4 F: 11
G: 16 H: 23 I: 25
Using the points and number line from the problem above, find each of the following. The first one is done for you.
a) BD = | -17 – (-1) | = | -17 + 1 | = | -16 | = 16
b) AE
c) EF
d) GI
e) CH
f) BG
g) CF
h) AC
Answer:
16, 29, 7, 9, 36, 33, 24, 12
Step-by-step explanation:
The distance between two points on a number line is the magnitude of the difference between their coordinates. In general, that means you can subtract the coordinate of the left point from the coordinate of the right point to find the distance.
Here, the points are in alphabetical order on the number line, left-to-right, as are the letters in the segment names. So you subtract the coordinate of the first point of the name from the coordinate of the last point in the name.
This is 8 simple subtraction problems.
a) D - B = -1 -(-17) = 16
b) E - A = 4 -(-25) = 29
c) F - E = 11 -4 = 7
d) I - G = 25 -16 = 9
e) H - C = 23 -(-13) = 36
f) G - B = 16 -(-17) = 33
g) F - C = 11 -(-13) = 24
h) C - A = -13 -(-25) = 12
_____
If you think of it as mileposts on a highway, it should be no surprise that the distance between milepost 4 and milepost 11 is 11 - 4 = 7 miles.
The distance an object travels is determined by how fast it goes and for how long it moves. If an object’s speed remains constant, the formula is d = r • t, where d is the distance, r is the speed, and t is the time.
If you drive at 50 miles per hour for 5 hours, how far will you have traveled?
a. 200 miles
b. 10 miles
c. 250 miles
d. 300 miles
Whats the InversE of Y=3x+2
Can anyone help with these? I appreciate and I will award 5 stars and brainliest
Graph 1
coordinates : (0,-5) (-6,-2)
m = (y2-y1)/(x2-x1)
m = (-2-(-5))/(-6-0)
m = 3/-6 = -1/2
Substitute the values,
y = mx + c
-2 = (-1/2)(-6) + c
-2 = 3 + c
c = -5
Thus, equation is y = -1/2x -5
Graph 2
coordinates : ( 4,-2) (-5,3)
m = (y2-y1)/(x2-x1)
m = (3-(-2))/(-5-4)
m = 5/-9
Substitute the values,
y = mx + c
-2 = (-5/9)(4) + c
-2 = -20/9 + c
c = 2/9
Thus, the equation is y = -5/9 + (2/9)
Hope it helps :)
The ratio of Green marbles to total marbles in a bag is 2 to 9. The ratio of red marbles to total marbles in th same bag is 1 to 3 which of the following statements is true
A 2 gallon container of laundry detergent costs $21.36. What is the price per quart?
✩ Answer:
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[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Turn your information into a fraction by inputting [tex]21.36[/tex] as the numerator and [tex]2[/tex] as the denominator:
[tex]\frac{21.36}{2}[/tex]✺ Expand [tex]\frac{21.36}{2}[/tex] by multiplying both numerator and the denominator by [tex]100[/tex]:
[tex]\frac{2136}{200}[/tex]✺ Reduce the fraction [tex]\frac{2136}{200}[/tex] to lowest terms by canceling out the common factor, [tex]8[/tex]:
[tex]\frac{267}{25}[/tex]✺ Divide the numerator by the denominator:
[tex]\boxed{\bold{10.68}}[/tex]
[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
"ටᆼට"
I need help plzz What is m
50*
35*
130*
95*
Answer:
50
Step-by-step explanation:
The measure of the angle ∠A will be 50°. The correct option is A.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
Given that the two angles are 85 and 145. The internal angles will be calculated as,
180 - 85 = 95
180 - 145 = 35
The angle A will be calculated as below,
∠A = 180 - 35 - 95
∠A = 50°
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