Answers
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
Related Questions
what is 50 divided by 6. explain
Answers
Answer:
8.333333333 repeating
Step-by-step explanation:
do the equation for 50/6 and you will get 8.3333 repeating
The quotient is 50 ÷ 6 = 8 1/3, which represents 50 divided by 6 equals 8 remainders 3 or written as a mixed number, 8 1/3.
To calculate 50 divided by 6, we perform a division operation to determine how many times 6 can be evenly divided into 50.
When dividing, we start with the largest possible quotient, which is 8 in this case (as 8 * 6 = 48).
We subtract 48 from 50, resulting in a remainder of 2. Since the remainder is not zero, we need to continue the division.
Now, we bring down the next digit, which is 0, making the dividend 20. We divide 20 by 6, which gives us a quotient of 3 with no remainder.
Therefore, 50 divided by 6 equals 8 remainders 3, or written as a mixed number, 8 1/3.
The quotient represents the number of times 6 can be evenly divided into 50, and the remainder represents the amount left over.
To learn more about the division operation click here :
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Help me please! I need help ASAP.
Answers
Answer:
the answer is B
Step-by-step explanation:
63.9 x 7.0
Help plz
Answers
Answer:
447.3
Step-by-step explanation:
Answer:
447.3
Step-by-step explanation:
63.9
x 7.0
_____
447.3
Find the Unit Rate.
216 diving students to 12 instructors
Answers
Answer: 216 diving students to 12 instructors = 18 students per instructor.
Step-by-step explanation:
I really need help real quick !
Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram has two pairs of adjacent sides that are congruent.
Answers
The mentioned parallelogram is a rhombus.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
A parallelogram is a square and a rhombus is a square.
However, not all parallelograms are rhombuses, and not all rhombuses are squares.
A parallelogram has two pairs of adjacent sides that are congruent.
The adjacent sides of a parallelogram must be equal, and the angles formed by the four sides must be 90 degrees for a rhombus to be a square.
We are aware that the adjacent sides are equal in the context of the statement, but we are unsure of whether or not the angle formed by the sides is 90 degrees.
Hence, the mentioned parallelogram is a rhombus, which we can state with certainty, but it may or may not be a square.
Learn more about parallelogram here:
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0.047 rewrite as percentage
Answers
Answer:
.05 %
Step-by-step explanation:
Hi! I believe your answer is 4.7%. Simply move the decimal two places to the right. I hope this helps you! Good luck and have a great day. ❤️✨
Find the equation for a line in slope-intercept form that goes through the points (-3, -2) and (3, 16)
Answers
Answer:
y = 3x+7
Step-by-step explanation:
The standard form of equation in slope-intercept form is:
y = mx+c
m is the slope
c is the intercept
Given the coordinates (-3, -2) and (3, 16)
Get the slope;
Slope = ∆y/∆x
Slope = y2-y1/x2-x1
Slope = 16-(-2)/3-(-3)
Slope = 16+2/3+3
Slope = 18/6
Slope = 3
Get the Intercept
Substitute one of the points in the formula:
Using the coordinate (-3, -2)
y = mx+c
-2 = 3(-3)+c
-2 = -9 + C
c = -2+9
c = 7
Get the equation of the line by substituting m and c into the equation y = mx+c
y = 3x+7
Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do lists, reporting the news and weather, and interacting with other smart devices in the home. In , the Amazon Alexa app was downloaded some 2800 times per day from the Google Play store (AppBrain website). Assume that the number of downloads per day of the Amazon Alexa app is normally distributed with a mean of 2800 and standard deviation of 860. What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)? Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?
Answers
Step-by-step explanation:
What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)?
First, find the z-score.
z = (x − μ) / σ
z = (2000 − 2800) / 860
z = -0.930
Use a chart or calculator to find the probability.
P(Z < -0.930) = 0.1761
What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)?
Find both z-scores.
z = (x − μ) / σ
z₁ = (1500 − 2800) / 860
z₁ = -1.512
z₂ = (2500 − 2800) / 860
z₂ = -0.349
Use a chart or calculator to find the probability.
P(-1.512 < Z < -0.349) = P(Z < -0.349) − P(Z < -1.512)
P(-1.512 < Z < -0.349) = 0.3636 − 0.0653
P(-1.512 < Z < -0.349) = 0.2983
What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)?
Find the z-score.
z = (x − μ) / σ
z = (3000 − 2800) / 860
z = 0.233
Use a chart or calculator to find the probability.
P(Z > 0.233) = 1 − P(Z < 0.233)
P(Z > 0.233) = 1 − 0.5919
P(Z > 0.233) = 0.4081
Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?
Use a chart or calculator to find the z-score given the probability.
P(Z > z) = 0.01
P(Z < z) = 0.99
z = 2.3263
Now find the corresponding number for that z-score.
z = (x − μ) / σ
2.3263 = (x − 2800) / 860
x = 4801
Using the binomial probability principle, the probability values for the number of downloads are :
P(X ≤ 2000) = 0.1762 P(1500 ≤ X ≤ 2500) = 0.2981P(X > 3000) = 0.4081Maximum number of downloads = 4800Given the Parameters :
Mean, μ = 2800Standard deviation, σ = 860The Zscore formula ::
Zscore = (X - μ) / σ1.) Probability of 2000 or fewer downloads :
P(X ≤ 2000) = P(Z ≤ (2000 - 2800)/860)) = -0.930
Using a normal distribution table :
P(Z ≤ - 0.930) = 0.1762
2.) Probability of between 1500 and 2000 downloads :
P(1500 ≤ X ≤ 2500) = P(Z ≤ (2500 - 2800)/860) - P(Z ≤ (1500 - 2800)/860)
P(1500 ≤ X ≤ 2500) = P(Z ≤ - 0.349) - P(Z ≤ - 1.511)
P(1500 ≤ X ≤ 2500) = 0.3635 - 0.0654
P(1500 ≤ X ≤ 2500) = 0.2981
3.) Probability of more than 3000 downloads :
P(X > 3000) = P(Z > (3000 - 2800) / 860)) = 0.2325
P(Z > 0.2325) = 1 - P(Z < 0.2325)
Using a normal distribution table :
P(Z > 0.2325) = 1 - 0.5919 = 0.4081
4.) Number of downloads given a probability of 0.01
P(X > 0.01) ;
Using a normal distribution table :
The Z score corresponding to P(Z > 0.01) is 2.326
Using the Zscore formula to calculate the number of downloads, X ;
Zscore = (X - μ) / σ
2.326 = (X - 2800) / 860
2.326 × 860 = X - 2800
2000.36 = X - 2800
X = 2000.36 + 2800
X = 4800.36
Therefore, maximum daily download system is designed to handle 4800.
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Factor completely n2+3n+2
Answers
The 2 on the right has factors of 2 and 1, which can also add together to get three. We will use these numbers to factor.
We are left with:
(n+2)(n+1)
This is it’s factored form. Good luck!
find m ABC (2x) (5x+5)
Answers
Answer:
=130
Step-by-step explanation:
(2x) (5x+5) = 180
7x + 5 = 180
7x = 175
x = 25
5(25) + 5 = 125 + 5 = 130
Hope this helps (:
Steven earns extra money babysitting. He charges $34.50 for 6 hours and $46.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answers
Answer:
y = 5.25x + 4
Step-by-step explanation:
(hours, money)
(6, 34.50)
(8, 46.00)
Slope: change in y/change in x
11.5/2
5.25
Y - intercept: b
46 = 5.25(8) + b
46 = 42 + b
4 = b
Put it all together
Find the area and perimeter of a rectangle whose sides are √2 + 3 √5 + 2
Answers
Answer:
√10 + 2√2 + 3√5 + 6
2√2 + 2√5 + 10
Step-by-step explanation:
Given parameters:
Dimensions of the rectangle:
√2 + 3 and √5 + 2
Unknown:
Area and Perimeter of the rectangle = ?
Solution:
Area of a rectangle = L x W
Perimeter of a rectangle = 2 (L + W)
Input the parameters and solve;
Area = (√2 + 3)(√5 + 2)
= √10 + 2√2 + 3√5 + 6
Perimeter of a rectangle = 2(√2 + 3 + √5 + 2)
= 2√2 + 6 + 2√5 + 4
= 2√2 + 2√5 + 10
help with this immediatey please
Answers
Answer:
100 degrees
Step-by-step explanation:
60+40 makes the whole angle ABC
ANSWER
B.
STEP BY STEP
Can someone tell me what to write of how I found the answer please?
Answers
Answer:
-16.22
Step-by-step explanation:
You take both numbers and subtract normally because adding a negative number and a positive number is the same as subtracting them without the signs so you do 22.45-6.23 and you get 16.22 and then you just put the negative sign in front and you get 16.22.
Could I please have BRAINLIEST?
Ronald and Tim both did there laundry today Ronald does laundry laundry every 6 days and Tim does laundry every 9 days how many days will it be until Ronald and Tim both do there laundry on the same day again
Answers
Answer: 18 brainiest plz
Step-by-step explanation:
First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18
Then 9,18 so 18 days
Answer:
18
Step-by-step explanation:
Please I need some answers a few is fine
Answers
On A 36 comes before 4 but 36 is greater than 4 so it can’t be A
On B 19 comes before 15 so it can’t be B
On C 81 is bigger than 11 but 81 comes first
So that leaves D. I may be wrong but from process of elimination it leaves D
Evaluate each expression for a= -2, b = -4.1, and c=5.
1) a - b + c
2) -c + b - a
3) -a + ( -c)
Answers
Answers:
1) 7.1
2) -7.1
3) -3
Plug in the numbers
is 1/4 a repeating decimal
Answers
Answer:
Yes
Step-by-step explanation:
PLZ HELP !!
Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?
Answers
Answer:
The final balance is $1,692.94.
The total compound interest is $392.94.
Step-by-step explanation:
1,300 x 0.045=___ x 6
An athlete eats 75 g of protein per day while training. How much protein will she eat during 21 days of training? Write your answer in kilograms.
Answers
Answer:
1.575 kg
Step-by-step explanation:
75g x 21
1575 g
convert to kg
1.575 kg
Brainliest Appreciated!
The Fashion Store has $6000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately 1000 women will see each newspaper ad, 800 will hear each radio ad, and 14,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?
Answers
9514 1404 393
Answer:
7 TV ads4 radio adsStep-by-step explanation:
The audience per dollar is ...
Newspaper: 1000/$200 = 5/$
Radio: 800/$100 = 8/$
TV: 14000/$800 = 17.5/$
So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...
(7 ads)($800/ad) = $5600
With $5600 spent on TV ads, the remaining advertising budget is ...
$6000 -5600 = $400
The next most cost-effective medium is radio. The remaining $400 budget allows for ...
$400/($100/ad) = 4 ads
__
To maximize exposure, the advertising budget should be spent this way:
TV: 7 ads for $5600, exposure of 98000Radio: 4 ads for $400, exposure of 32004x = 7y + 5 what is the slope
Answers
Step-by-step explanation:
7y=4x-5
y=(4/7)x-5/7
slope is equal to m where m is
y=mx+b
in this case m is 4/7
so slope =4/7
Hoped I can help!
what is 37737332732.83838-388733883.6 equal?
Answers
Answer:
4838388.34?
Step-by-step explanation:
a b c d or d helpp pleas!
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The rates of b, c, d make sense in relation to each other. A is the only one dealing with decimal points; whilst the other numbers are dealing with the same x and y values just different sized graphs.
Help Please! Will mark brainliest and all of that
THX :)
(which one is from LEAST to GREATEST)
Answers
Answer:B.
Step-by-step explanation:
-16 is the least. It is behind zero. 3 is near zero but it is still greater. 47 is way past zero.
(5/9)^2
Order of operation
Answers
Answer:
Use PEMDAS.
Parenthesis.
(5 times 9) That's 45.
Exponents.
45^2
45x45
2025
The answer is 2025.
On Joe's bookshelf are: • 8 fiction books 3 non-fiction books • 4 historical drama books Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book? A)0.267 B)0.8 C)0.2 D)0.533
Answers
Answer:
There is a 0.2 chance or 20% change that he will choose a nonfiction book. PLease mark as helpful if it is! thanks
Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?
Answers
Answer:
The greatest common factor (GCF) of the two numbers is 330.
Step-by-step explanation:
Given;
prime factors of the two numbers = 2, 3, 5, and 11
The greatest common factor (GCF) of the two numbers is given as;
Greatest Common Factor (GCF) = 2 x 3 x 5 x 11
Greatest Common Factor (GCF) = 330
Therefore, the greatest common factor (GCF) of the two numbers is 330.
Answer:
330
Step-by-step explanation:
what is the slope of the linear function represented in the table?
Answers
Answer:-7 I think
Step-by-step explanation:
A bug starts at the origin of the coordinate plane. The bug moves One-fourth units right and One-fourth units down to point A. Which graph shows the location of point A?
Answers
Answer:
the answer would be d
Step-by-step explanation:
i took the test on edge2020
Answer:
D
Step-by-step explanation:
Edg 2020