Ian suffered a loss of 10% when his watch was sold at $90. How much should he have sold his watch if he wanted to make a gain of 20%?
Explanation:
This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.
PLEASE HELP 50 BRAINLY POINTS IF YOU ANSWER THIS QUESTION CORRECTLY
A probability value is listed at the top of each column. Determine the probability for each situation, then drag and drop each situation into the column under its correct probability.
The list of all probabilities from first to last are 0.5, 0.5, 0.2, 0.4, 0.5,
and 0.2.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
There are a total of 6 possibilities when rolling a die and of which three are even numbers.
P(rolling an even number is) = 3/6 = 1/2 0.5.
There are two possibilities when flipping a coin,
∴ The probability of getting a head is (1/2) = 0.5.
There are a total of (1 + 1 + 3) = 5 possibilities of choosing a block out of which one is red, therefore the probability of choosing a red is = (1/5) = 0.2.
Total 10 marbles and 4 blue marbles, hence the probability of choosing a blue marble is (4/10) = 2/5 = 0.4.
There are a total of 8 balls out of which 4 are soccer balls, hence the probability of choosing a soccer ball is = 4/8 = 1/2 = 0.5.
Total 15 balls out of which 3 tennis balls hence the probability of choosing a tennis ball is = 3/15 = 0.2.
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Help please confused
Answer:
A = 25
B = 27
C = 5
D = 15
E = 7
Step-by-step explanation:
The question states that all rows, columns, and diagonals have the same sum. With this assumption, we can add up 6, 16, and 26 to know that each row/column/diagnol adds up to 48. With this in mind, you can fill in the numbers needed to make all the rows add up to 48.
Example: A + 17 + 6 = 48, so A = 25
The more numbers you solve, the more knowledge you have to solve for the rest of the numbers.
If you were to cover a pizza with cheese, how much area, rounded to the nearest whole number, would you need to cover with cheese if the pizza had a circumference of 31.4 inches?
Answer:
79 square inches
Step-by-step explanation:
First, let's find the diameter given the circumference.
\(C=\pi d\) \(d=\frac{C}{\pi }\) \(d= 31.4/3.14\) \(d=10\)Next, we know the the radius is half the diameter, so the radius is 5 inches. Now, we can solve the area of the circle.
\(3.14 * 5^2\) \(3.14 * 25\) \(78.5\) 78.5 ≈ 79 square inchesTherefore, the answer is 79 square inches.
plz help me math work question in photo
the answer is C.
the exponent of 10 is -2, so the decimal point will move to the left two spaces which makes .0254 mm
1) Convert 2-7i to trigonometric form
2) Use the n-th roots theorem to find the requested roots of the given complex number.
Find the cube roots of 125
Answer:
1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)
2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)
Step-by-step explanation:
Problem 1
\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)
Problem 2
\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)
\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)
\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)
Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)
A truck driver drove 13 hours and earned $520. What is the hourly rate?
Answer:
$40
Step-by-step explanation:
520/13=40
Answer:
Step-by-step explanation:
\(\frac{\$ 520}{13hr}=\$40/hr\)
Help pls also show work if needed!
Answer:
(4,18); (6,22); (8,26)
Step-by-step explanation:
Plug in the numbers 4, 6, and 8, in for d using the equation.
c=2d+10
c=2(4)+10
c=8+10
c=18
(4,18)
c=2d+10
c=2(6)+10
c=12+10
c=22
(6,22)
c=2d+10
c=2(8)+10
c=16+10
c=26
(8,26)
Answer:
14
18
22
26
Step-by-step explanation:
c = 2d + 10
1st one: substitute 2 for d
c = 2 x 2 + 10
c = 14
2nd one: substitute 4 for d
c = 2 x 4 + 10
c = 18
3rd one: substitute 6 for d
c = 2 x 6 + 10
c = 22
4th one: substitute 8 for d
c = 2 x 8 + 10
c = 26
Identify which of the following symbols should replace the? in this statement: 989 ? 1,002.
Answer:
depending on what you're referring to, it should be < or 995.5
Step-by-step explanation:
1. What is the probability that someone likes tea?
a) 26/62
b) 16/62
c) 24/62
d) 27/62
Answer:
D) 27/62
Step-by-step explanation:
Since the question does not ask for a person that ONLY likes tea, you would use all the numbers within the tea circle. So, you would add 16, 2, 8, and 1 together to get the answer of 27/62.
How much would you have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would
earn?
Round to 2 decimal places and do not include the $
symbol.
Answer:
To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:
PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)
where:
- PV is the present value of the annuity due (the amount you would have to deposit today)
- PMT is the monthly payment ($75)
- r is the annual interest rate (3.5%)
- n is the number of times interest is compounded per year (12 for monthly compounding)
- t is the number of years (10)
PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**
Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.
...................
Answer:
easey, sub them
(x,y)
see if true
(0,1), 2(0)+1>-4, 1>-4, true
(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false
(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true
(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true
(-3,0), 2(-3)+0>-4, -6>-4, false
answers are
(0,1)
(5,-12)
(-1,-1)
Hopefully that helped you a little bit :)
PLEASEEEEE HELPPP!!!!!!
Which integer represents Deposit of $75
A: -75
B: 75
C: -57
D: 57
Answer:
B: 75
Step-by-step explanation:
Its B:75 because if you deposit $75 into your bank account, that means you're ADDING 75 dollars to your account which would be positive. If you make a withdrawal, it would be negative because you're taking money OUT of the account.
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Use the properties to rewrite logarithm expressions as a single logarithm
log subscript 4 7 plus space log subscript 4 10
The logarithm expression as a single logarithm is log 4 70.
Logarithm expression of Log 4 7 + log 4 10 = log 4 70.
Log 4 7 + log 4 10
The properties of logarithm is product rule.
Log 4 7 + log 4 10 = Log 4 7 * 10
= log 4 70
It should be noted that logarithm, is the exponent or power to which a base must be raised to get a given number.
We can apply the quotient rule to find the differentiation of a function.
In this case, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.
Hence, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.
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can someone explain the absolute value of |
6-x|=x/2+9|
Answer:
Yes!
Step-by-step explanation:
Okay so the absolute vaule of ANY number is posive of the same number so like having I-1I the absolute vaulse is I1I.
the absoulte vaule of I-xI= x so anything that is negitive goes to positive and if Positive it stays positive. If you need help find x let me know and make sure you have the write equation.
This week, total sales at the farm market you manage were $3,900. Of the total sales, $235 were in the dairy
department. Approximately what percent of the total sales were in the dairy department?
O 0.06%
O 0.6%
O 6%
O 16%
60%
Intro
Done
Answer:
6%
Step-by-step explanation:
\( \frac{235}{3900} = .06 = 6\%\)
235/3900 is approximately .0603, or approximately 6.03% (6%).
A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many
children are there in the room?"
Let c represent the number of children.
Which expression represents the number of parents?
1)C + 9
2)C - 9
3)c:9
4)9 - C
Which statement must be true?
Answer:b
Step-by-step explanation:
Last week Ted ran 30 miles more than Julio. Ted ran 41 miles. How many miles did Julio run?
Answer:
Step-by-step explanation:
Let's assume that Julio ran x miles last week.
According to the problem, Ted ran 30 miles more than Julio, which means Ted ran x + 30 miles.
The problem also tells us that Ted ran 41 miles. So, we can set up the equation:
x + 30 = 41
Now, we can solve for x by subtracting 30 from both sides:
x = 41 - 30
x = 11
Therefore, Julio ran 11 miles last week.
Given below
p = number of miles that Julio ran
p + 30 = number of miles that Ted ran = 41
p + 30 = 41
p = 41 - 30 = 11
Hence, Julio ran 11 miles.
How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?
Answer:
5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.
Step-by-step explanation:
Help please!!!
Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. what is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
Answer:
27 stalls
Step-by-step explanation:
111 / 4 = 27.75
So he can fill at most 27 stalls completely
Factor completely: 1/4x^2−8x+64
You have saved $14,000 for a down payment on a house. Your bank requires a minimum down payment of 17%. What is the maximum price you can offer for a home in order to have enough money for the down payment? (Round your answer to two decimal places.)
The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.
To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.
Let's assume the maximum price you can offer for the home is P dollars.
According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:
\(0.17P = $14,000\)
To solve for P, divide both sides of the equation by 0.17:
P = $14,000 / 0.17
Calculating this expression, we find:
P ≈ $82,352.94
Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.
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Hi hello it’s me again this is kinda weird but this do I give someone brainliest I will literally give the person who says it first brainliest so yep and like I don’t know 15 points and uh yep it’s not an emergency so don’t worry about me go help others first
Answer:
Give the other guy brainliest he earns it
Step-by-step explanation:
Felicia is deciding on her schedule for next semester. She must take each of the following classes: English 102, Spanish 102, History 102, and College Algebra. If there are 15 sections of English 102, 9 sections of Spanish 102, 12 sections of History 102, and 13 sections of College Algebra, how many different possible schedules are there for Felicia to choose from? Assume there are no time conflicts between the different classes.
Okay, here are the steps to solve this problem:
* There are 15 sections of English 102 to choose from
* There are 9 sections of Spanish 102 to choose from
* There are 12 sections of History 102 to choose from
* There are 13 sections of College Algebra to choose from
So for English 102 Felicia has 15 options, for Spanish 102 she has 9 options, for History 102 she has 12 options, and for College Algebra she has 13 options.
By the Fundamental Principle of Counting, the total number of possible schedules is:
15 * 9 * 12 * 13 = 16,920
Therefore, the total number of possible schedules for Felicia is 16,920
what is 29% as a fraction in simplest form and as a decimal to the nearest hundredtgh
The percentage as a fraction is 29/100 and 0.29 as decimal
How to express as a fraction and as decmalFrom the question, we have the following parameters that can be used in our computation:
Number = 29%
Multiply the expression by 1
So, we have the following representation
Number = 29% * 1
Express 1 as 100/100
Number = 29% * 100/100
So, we have
Number = 29 * 1/100
This gives
Number = 29/100
Divide the expression
Decimal = 0.29
Hence, the fraction is 29/100
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How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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Look at the graph below. Is it a function or not a function? Explain your reasoning.
ASAP please helppp
Answer:
1.3
Step-by-step explanation:
Raise/run = slope aka distance in this situation
8/6 = 1.3
Answer:
10 units
Step-by-step explanation:
use the distance formula as thought in school