Answer:
Total earning Kanica wants to make is at least $750
The commission she gets is 7.5 % Therefore to find the sales she should make we use :
(Total earnings * 100% )/ Commission
= (100 * 750) / 7.5
=75000/7.5
= $ 10,000
The minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Kanica wants to earn at least $750 this week in commission.
Let x be the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells.
The value of x can be found as follows:
x = 750/(7.5%)
x = (750/7.5)x100
x = $10,000
Thus, the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
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Loto begins at his back door and walk 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?
If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.
First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.
So let's assume that Loto begins at the point (0, 0).
Then:
He moves 8 yards east, to: (8yd, 0)He moves 6 yards north, to: (8yd, 6yd)He moves 12 yards east, to: (20yd, 6yd)He moves 5 yards north, to: (20yd, 11yd)So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd
So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:
[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]
So, if he could walk directly he would only walk 22.8 ft
The difference is:
33yd - 22.8yd = 10.2 yd.
He would walk 10.2 yards less if he could walk directly from the back door to the barn door.
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For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?
Answer:
Price of book is [tex]9\$[/tex]
Step-by-step explanation:
Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]
We have
[tex]2x=3y[/tex]
We also have
[tex]4x+4y=60[/tex]
[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]
Price of book is [tex]9\$[/tex]
I need Help ASAP
Please
Please!!!
Answer:
3/4
Step-by-step explanation:
A linear function and an exponential function are shown below.
Over which interval does the growth rate of the exponential function exceed the growth rate of the linear function?
Answer:
x >2
Step-by-step explanation:
*The exponential function gets steeper when x is greater than 2
Answer:
D. x>2 is the answer got it right
Express the following exponential functions in logarithmic form.
1. 10^8 = 100, 000, 000
2. 10^-4 = 0.0001
Answer:
see explanation
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
(1)
[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )
[tex]log_{10}[/tex] (100,000,000) = 8
(2)
[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )
[tex]log_{10}[/tex] (0.0001) = - 4
-8=-9 + √2x - 1
find a h and k
Answer:
x=2?
Step-by-step explanation:
Assume running consumes 93 calories per mile. If you run 8 - minute miles, what is your average power output, in watts?
Average power output, in watts = 0.8103 watts
What is average power?The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.
It can be expressed by the following relation:
P=E/T
Given,
Energy consumed per mile = 93 calories
Time taken to cover 1 mile = 8 minutes
Energy consumed per minute = 93/8 calories
Average power = 93/8 = 11.625 calorie per minute
1 calorie per minute = 0.0697 watt
Average power output in watts = 11.625 × 0.0697
= 0.8103 watt
Hence, 0.8103 watt is the average power output in watt.
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What is the value of x + 2x when x=2/3?
Answer:
2
Step-by-step explanation:
2/3+2(2/3)
2/3+2×2/3
2/3+4/3
2+4/3
6/3
=2
Adelle starts a savings account with $250. If the interest rate is 3%, find the total amount in the account after 2 years.
Answer:
265
Step-by-step explanation:
Find the distance between the two points (1,1) and (3,-4)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(3-1)^2+(-4-1)^2}\implies d=\sqrt{2^2+(-5)^2}\implies d = \sqrt{29}[/tex]
Rewrite the following equation in slope-intercept form. 17x − 4y = 20
Step-by-step explanation:
-4y= -17x+20
4y=17x-20
y= 4.25x-5
Slope intercept form
y=mx+b[tex]\\ \tt\Rrightarrow 17x-4y=20[/tex]
[tex]\\ \tt\Rrightarrow 17x-20=4y[/tex]
[tex]\\ \tt\Rrightarrow y=17/4x-5[/tex]
Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?
A. Three fourths of the fish he caught were larger than 22 pounds.
B. The average weight of the fish he caught was 40 pounds.
C. Three fourths of the fish he caught were less than 22 pounds.
D. The largest fish he caught was 63 pounds.
The 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.
Recall:
In a Box-and-Whisker Plot, about 25% of the data will be below the first quartile while 75% will be above the first quartile, that is Three fourths of the data will be above the first quartile and one-fourths will be below the first quartile.Thus, the given Box-and-Whisker Plot as shown in the diagram below shows that the first quartile is 22 pounds.
Therefore, the 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.
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Answer: A...
Step-by-step explanation:I trust the guy above me....
A bath tub drained at a constant rate. The table shows the number of gallons of water left in the tub after being drained for two amounts of time
The rate at which the water was drained from the tank is 6 gallons of water per minute (option A)
To know the speed at which the tank was drained, we must carry out the following operations:
Taking into account the information provided by the table we establish how much water has been drained from the tank in 20 minutes.
450 gallons - 330 gallons = 120 gallons.
Subsequently, we must divide the amount of water (120 gallons) that was drained by the time it was drained (20 minutes).
120 gallons ÷ 20 minutes = 6 gallons / minute.
According to the above, we can establish that the bath drain rate is 6 gallons / minute (option A).
Note: This question is incomplete because there is some missing information. Here is the complete information:
What is the rate at which the water was drained from the tank?
6 gallons of water per minute. 11 gallons of water per minute. 45 gallons of water per minute. 120 gallons of water per minute.
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A ramp is at an angle of elevation of 15°. The distance from the top of the ramp to the ground is 20 feet. What is the length of the ramp? Round to the nearest tenth.
Sami has a bag full of 4900 marbles of three different colors which include blue, green and black in the ratio 16:13:20. Find the number of each colored marbles in her bag.
Answer:
See the calculation below
Step-by-step explanation:
[tex]16 + 13 + 20 = 49[/tex]
[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]
[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]
[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]
Ivy is graphing how much money she earns for each hour of babysitting. She finds that the data tends to be linear and draws a line that passes through the points (2, 17) and (5, 42.50). About how much does Ivy earn per hour? A. $42.50 B. $17 C. $25.50 D. $8.50
Answer: 8.5
Step-by-step explanation: (42.50 - 17) ÷ (5 - 2)
= 25.50 ÷ 3
= 8.5
Thank me later
24,761 divided by 24
Answer:
1031.70833333
Step-by-step explanation:
Charlie surveyed his class to determine favorite colors. By examining his results in this chart, which numbered choice represents the fraction of the class that
Color
Number of
Students
red
9
white
4
blue
10
green
8
listed blue as their favorite color.
If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______
Answer:
Step-by-step explanation:
r=60/100=0.6<1
[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]
PLEASE I NEED FAST CLEAR ANSWERS
Answer:
A, B and C
Step-by-step explanation:
They all can mirror to overlap perfectly with the other side of the shape.
D and E can not
I hope this helps :)
Answer:
A C B
Step-by-step explanation:
those are the right answers i just did it hope it helps
Image attached giving 25 points please help
Answer:
Step-by-step explanation:
Rational number ,because it can be written as 37 which is a ratio
One hundred voters were asked whether they supported a bill that had
The question is cut off.
You flip a coin 8 times and get tails 6 times. Based on this experiment, what is the probability of flipping a coin and getting heads?
Answer:
1/4
Step-by-step explanation:
If you get 6 tails, then that means you got 2 heads. 8-6=2.
probability= 2/8=1/4 based on this experiment.
Help please , need answer ASAP
Answer:
(fg)(9) = 948
Step-by-step explanation:
(fg)(9) = f(9)×g(9) = (9 +3)(9^2 -2) = (12)(79)
(fg)(9) = 948
Find the sum 35 + 36 + 37 + 38 + ... + 109 + 110.
.
The sum is
Answer:
327
Step-by-step explanation:
Answer:
The empty space in the equation doesn't make sense. We could answer this question if it gave us the sum and we solved for x. But, for the sake of the question let's get rid of the periods. The question would now be 35 + 36 + 37 + 38 + 109 + 110. When we solved the equation we would get 365.
Step-by-step explanation:
how much time should be allowed for a 392-km car trip if the car will be traveling at 120km/h
Answer:3hrs 16min
Step-by-step explanation:
392/120 = 49/15 hours = 3 hours + 4/15 hours = 3 hours + 4/15 x 60 min = 3 hours + 16 min
In a parking lot,there are 16 silver cars, 8 blue cars ,and 10 red cars . A car leaves the parking lot. What is the probability that it is
a: a silver car?
b: a blue car?
c: a red car?
d: suppose that the first car that leaves is a silver car . What is the probability that the second car that leaves is not a silver car?
Answer:
a) 8/17
b) 4/17
c) 5/17
d) 48/187
Step-by-step explanation:
a) P(silver) = 16/34 = 8/17
b) P(blue) = 4/17
c) P(red) = 5/17
d) P(silver, not silver) = 8/17 × 18/33 = 144/561 = 48/187
The probability for each event are -
[A] - 8/34
[B] - 16/34
[C] - 10/34
[D] - 18/33
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes
We have 16 silver cars, 8 blue cars and 10 red cars in a parking lot.
[A] -
P{silver} = 8/(16 + 8 + 10) = 8/34
[B] -
P{blue} = 16/(16 + 8 + 10) = 16/34
{C} -
P{red} = 10/(16 + 8 + 10) = 10/34
D) -
P{not silver} = 1 - 15/33 = 18/33
Therefore, the probability for each event are -
[A] - 8/34
[B] - 16/34
[C] - 10/34
[D] - 18/33
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Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.
Answer:
a)Perimeter= 2(8+2x+4)
=(24+4x)ft
b)Area= 8(2x+4)
=(16x+32)square ft
c)16x+32=80
x=3
width= 2x+4 = 2(3)+4 =10ft
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 515 randomly selected adults showed that 55% of them would erase all of their personal information online if they could. Find the value of the test statistic.
The value of the test statistic is______
Answer:
257.5 of the 515
Step-by-step explanation:
simplify [tex]y^{-3}[/tex]