Answers
Related Questions
1.The sales tax rate in a certain state is 8%. How much would you pay in total for a taxable item that costs $25.25?
2.Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
3.Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
4.An auctioneer sold items totaling $42,000. If her rate of commission was 7%, what was her income from commissions?
5.At a local hardware store, Ms. Jones learned that 1 would cost her $.50, 12 would cost $1.00, and the price of 144 would be $1.50. What was Ms. Jones buying?
6.People sometimes use credit cards to purchase items they can’t afford to pay for at the moment of purchase. If you’re one of these people, you should know that the monthly finance charge on credit purchases is based on percent. Let’s say you have an outstanding balance of $800 on your credit card. The credit card company charges 1.6% per month. What finance charge will you have to pay for one month?
Answers
P = r x b
where: P = Percentage (Portion)
r = rate
b = base amount
1. Your given for number 1 is as follows:
rate = 8%
Base amount = $25.25
You are looking for how much you would pay in total. First you need to find out how much your going to pay in taxes, based on the base amount. To get that, you need to convert the rate in its decimal form by dividing it by 100.
rate = 8/100 = 0.08
Next you need to find how much you will pay in taxes, you can do that by using the formula:
P = r x b
= 0.08 x $25.25
= $2.02 This is how much you will pay in taxes.
To get the total amount you will pay, just add it to the original price:
$25.25 + $2.02 = $27.27
2. Your given will be:
p = 20
b = 25
r = ?
All you have to do is input what you know in the formula:
P = r x b
20 = r x 25
Transpose the 25 to the other side of the equation to get the rate and divide:
20/25 = r
0.8 = r
For this case it is asking for the rate in percent, all you need to do is multiply your computed rate by 100% and you will get 80%.
3. If your given would be:
P = $42.00
r = 70%
b = ?
Base is the unknown here, because you are looking for the original price. So we put this into our equation again:
$42.00 = 0.70 x b
Transpose the 0.70 to the other side of the equation again and divide:
$42.00/0.70 = $60.00
The original price was $60.00
4. The given would be:
P = ?
r = 7% or 0.07
b = $42,000
We are looking for how much he got, or the portion he got, so we are looking for the percentage. Input what you know into our formula:
P = 0.04 x $42,000
= $2,940.00
6. Your given would be as follows:
P = ?
r = 1.6% or 0.016
b = $800
You are looking for how much you would pay in finance charge, or the portion that will be added, based on your base amount so you will be looking for the percentage. Input your given into the formula:
P = 0.016 x $800
= $12.80
As for number 5, that is a trick question. The prices are different and no matter what formula you will use, you will not come up with a mathematical sound answer. Consider the situation, what can you buy in local hardware store that has 1, 12, and 144? The answer is HOUSE NUMBERS.
2. 80%
3. $60
4. $2,940
5. Ms. Jones was buying house numbers. Her house number was 112144. Each separate number would cost $.50. Therefore, the number 1 would cost $.50, the numbers 1 and 2 (12) would cost $1.00, and the numbers 1, 4, and 4 (144) would cost $1.50.
6. $12.80
a triangle has two sides of lengths 4 and 15. what value could the length of the third side be?
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4+15 = 19; 4 + 19 = 23; 15 + 19 = 34.
19 is a possible answer.
4 + 15 = 19; 15 + 15 = 30
15 is a possible answer.
4 + 15 = 19; 4 + 13 = 17; 15 + 13 = 28
13 is a possible answer.
4 + 12 = 16; 4 + 15 = 19; 15 + 12 = 27
12 is a possible answer.
4 + 11 = 15; 4 + 15 = 19; 11 + 15 = 26
11 is a possible answer.
15 + 4 = 19; 4 + 4 = 8
4 is NOT a possible answer because 4 + 4 is less than 15.
Hope this helps =)
Answer: The answers are 12, 15, 13
Step-by-step explanation:
Create a system of linear equations that has the solution (3,5)?
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Answer:
x + 2y = 133x - y = 4Step-by-step explanation:
I find it easiest to write the equations in standard form, as above. You just need to pick numbers for the x- and y-coefficients, then see what the left-side evaluates to. I wanted the x-coefficients to be different, and one of the y-coefficients to be negative. (The x-coefficients need to be positive when the equation is written in standard form.)
_____
Check
3 +2·5 = 3 +10 = 13 . . . first equation works
3·3 -5 = 9 -5 = 4 . . . . . second equation works
a blank is a number that uses place value and a decimal point to show a value less than 1 search as tenths and hundredths
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scientific notation?
If there is a sphere with a volume of 1761.1 meters cubed, what is the radius?
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Find the first four terms of this geometric sequence a1 = 5 And r = 6
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a(n)=a(1)×r^(n-1)
a1=5
a2=5×6=30
a3=5×6²=180
a4=5×6³=1080
Find the locus of the point (x,y) which is a distance 3 from the point (-2, 1)
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1. rule: Circle is the locus of the points which are on the same distance from the given point. Common view of the equation is: (x-a)²+(y-b)²=r², where r - the distance from the given point to the described locus, a&b - coordinates of the given point.
2. using item 1:
(x+2)²+(y-1)²=3² or (x+2)²+(y-1)²=9.
In which situation is the original price bigger? (A) after a 5% discount the price was $190; (B) after a 10% discount the price was $180; (C) after a 20% discount the price was $170; (D) after a 30% discount the price was $140.
Answers
Answer:
C
Step-by-step explanation:
Calculate each one of them to see which one is highest:
a)190/.95 = 200
b) 180/.9 = 200
c)170/.8 = 212.5
d)140/.7 = 200
which ingredient does Ramon use the greater amount of, buttermilk or cream cheese? Explain how you found your answer.
( 5/8 cup buttermilk , 1/2cup cream cheese)
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1/2 is equal to 4/8
5/8 is greater than 4/8
50%= 1/2
so 5/8 is more
Four bottles of powerade cost $3.88. Find the unit price of each bottle
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i think
In adding 4/5 + 18/100 the least common denominator is:
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4/5+9/50
the least common denominator is 50.
The least common denominator of the given denominators 5 and 100 is 100.
Given that, 4/5 + 18/100.
What is least common denominator?When two or more fractions have the same denominators, they are termed as the common denominators. The least common denominator (LCD) refers to the smallest number that is a common denominator for a given set of fractions.
Here, two different denominators are 5 and 100.
The least common denominator of 5 and 100 is 100.
So, 80/100 + 18/100
= 98/100
= 49/50
Therefore, the least common denominator of the given denominators 5 and 100 is 100.
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which expressions are polynomials
A) 20x^2
B)20x^2/y
C)20x^2+y^1/2
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The explanation is shown below:
1. The polynomials can't have:
- Fractional exponents.
- Variables in the denominator.
2. As you can see, the option B) 20x^2/y has the variable "y" in the denominator, Therefore, it is not a polynomial.
3. The option C) 20x^2+y^1/2 has a fractional exponent, so it is not a polynomial.
The answers are : 20x^2 and 20x^2 + y^1/2
I just took the test I promise those are the correct answers.
PLEASE HELP 30 POINTS!!!!!!!!
Without graphing the lines to the equations, given any two linear equations explain how you can tell if the lines of the two equations are parallel.
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A smartphone originally worth $790 loses value at a rate of $175 each year.Write an equation to represent the value of the phone, then find value of the phone after 4years.Identify your variables
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take 175 and multiply it by 4 which gives you 700
Then subtract 700 from 790 and you get $90 after 4 years.
Your variables are 175 and 4
Final answer:
The value of the smartphone after 4 years is calculated using the linear equation V = 790 - 175t, resulting in a value of $90.
Explanation:
The smartphone's value decreases by $175 each year. To represent the value of the phone after a certain number of years, we can use a linear equation. Let V be the value of the smartphone after t years, where V is in dollars and t is the number of years.
The original value of the smartphone is $790, so the equation to represent the value over time is:
V = 790 - 175t
After 4 years, the value of the smartphone would be:
V = 790 - 175(4)
V = 790 - 700
V = $90
Therefore, the value of the smartphone after 4 years is $90.
which word phrase represents the following expression r ÷ 6 ?
Answers
Answer : The correct phrase used is, r is divided by 6.
Step-by-step explanation :
We are given an expression :
r ÷ 6
The word used for subtraction operation is 'less'.
The word used for multiplication operation is 'times'.
The word used for division operation is 'divided by'.
Thus, the verbal sentence for given equation is, r is divided by 6.
What is the slope of a line that is parallel to the line represented by the equation?
y= -2/5x + 4/5
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Answer:
y= -2/5x + 4/5
The slope is -2/5
Select the statements that are true for the graph of y = −(x−0.5)^2+9
1. The graph has a minimum.
2. The graph has a maximum.
3. The vertex is (0.5, 9) .
4. The vertex is (−0.5, 9)
I NEED THIS DONE BY 1:30 2/22/2018 THANK YOU! (:
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The true statements are
2. The graph has a maximum.3. The vertex is (0.5, 9) How to determine the true statement?The equation of the function is given as:
[tex]y = -(x - 0.5)^2 + 9[/tex]
Because the leading term is negative, then the equation has a maximum
This is represented by the first minus sign in [tex]y = -(x - 0.5)^2 + 9[/tex]
The function can also be represented as:
[tex]y = a(x - h)^2 + k[/tex]
Where:
Vertex = (h,k)
So, we have:
Vertex = (0.5,9)
Hence, the true statements are (2) and (3)
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The line plots show the number of hours two different age groups of teenagers spent online the previous week.
Two line plots, both are labeled from twelve to thirty six going by ones underneath the line plot. The top line represents Hours spent online parenthesis ages thirteen to fifteen parenthesis. There are three Xs over twenty eight, two Xs over twenty seven and one X over twenty one, twenty four, twenty six, thirty one and thirty four. The bottom line represents Minutes spent online parenthesis ages sixteen to eighteen years old parenthesis. There are four Xs over twenty eight and one X over twelve, twenty one, twenty seven, thirty point five, thirty four, thirty five and thirty six.
Select from the drop-down menus to complete each statement.
The range is . The mean
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The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
[tex]\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4[/tex]
The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12. 36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
[tex]\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95[/tex]
Answer:
Step-by-step explanation:
The range is greater for data set 1 ( 13- to 15-year old ).
The mean is the same for both data sets.
The percentage of high school students who drink and drive stood at 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011.† (a) find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 20
Answers
1) The linear function : f(t) = -0.72t + 17.5
2) When t = 14 the value is 7.42
Part A
For this case we have the following information given:
t= 2001 (0) f(0)= 17.5%
t= 2011 (10) f(10)= 10.3
Slope= [tex]\frac{10.3-17.5}{10-0}[/tex]
10.3 = -0.72*10 +b
b= 10.3 +10*0.72
= 17.5
Then the equation is:
f(t) = -0.72t + 17.5
Part B
For 2015 the value of t = 2015-2001
= 14
Substitute in function,
f(14)= -0.72×14 + 17.5
= 7.42
Know more about linear functions,
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Complete question:
The percentage of high school students who drink and drive was 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011.†(a) Find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 2001.f(t) = (b) If the trend continued, what was the percentage of high school students who drank and drove at the beginning of 2015? %
To find the linear function that represents the percentage of high school students who drink and drive in a given year, we can use the slope-intercept form of a linear equation. We can determine the slope and y-intercept by using the given data points. The linear function is f(t) = -0.82%t + 17.5%.
Explanation:To find a linear function f(t) giving the percentage of high school students who drink and drive in year t, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, y represents the percentage of students who drink and drive, and t represents the year. We know that at the beginning of 2001 (t=0), the percentage was 17.5%, and at the beginning of 2011 (t=10), the percentage was 10.3%. Using this information, we can find the slope (m) and the y-intercept (b) of the linear function.
Step 1: Calculate the slope (m):
m = (y2 - y1) / (t2 - t1) = (10.3% - 17.5%) / (10 - 0) = -0.82% per year.
Step 2: Substitute one of the points and the slope into the slope-intercept form to find the y-intercept (b). Using the point (0, 17.5%):
17.5% = -0.82%(0) + b
b = 17.5%.
Therefore, the linear function f(t) is: f(t) = -0.82%t + 17.5%.
Name the digits of pi. At least 50
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The first 50 digits of pi are 3.14159265358979323846264338327950288419716939937510.
The digits of pi (π) extend infinitely and do not repeat in any known pattern, which makes this number a mathematical constant and an irrational number. Pi is crucial in various mathematical formulas, including those used to calculate the area and circumference of a circle.
Here are the digits of pi to 50 decimal places: 3.14159265358979323846264338327950288419716939937510.
last year, marys vegetable garden was a rectangle that measured 6 ft by 8 ft. If she wants to increase the size this year by a scale factor of 2. the measurements should be ____ ft by 16 ft
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preschool buys paint in bulk then divides the paint into smaller pirtions for use in the clasrooms. today they bought 4 2/3 gallons of green paint and divided it equally among 4 classrooms. how much green paint did each classroom get?
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A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the vase?
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the Volume of the cone=(1/3)*B*h
B= area of the base
h= height of the pyramid------> 45 cm
then
B=pi*r²=pi*12²=452.16 cm²
V=(1/3)*[452.16*45]=6782.4 cm³
the answer is 6782.4 cm³
Answer:
6782.4 π cm³
Step-by-step explanation:
I took the test and got it right!
If the APY of a savings account is 3.2%, and if the principal in the savings account was $2400 for an entire year, what will the balance of the savings account be after all the interest is paid for the year?A. $2400
B. $2406.24
C. $2600
D. $2476.80
Answers
Answer:
The answer is $2476.80 Apex
Step-by-step explanation:
Given the functions, and g(x) = 3x 2 + 2, perform the indicated operation. f(g(x))
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I believe the answer is 6x-13. But I'm not 100% posititive.
Which Number produces a rational number when added to 0.25
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Any number that is rational when added to 0.25 will result in a rational number, as 0.25 is a rational number itself. Examples include adding integers or other fractions to 0.25.
Explanation:Any number added to 0.25 will produce a rational number since 0.25 itself is a rational number. Rational numbers include integers, fractions, and finite or repeating decimals. When adding a number to 0.25, if the second number is rational, the result will surely be rational. For instance, adding an integer like 2 to 0.25 gives 2.25, which is rational. Similarly, adding a fraction like 1/2, which is 0.5 in decimal form, results in 0.75, also a rational number.
When considering common denominators in fractions for addition or subtraction, the denominator of the resulting number is a product of the denominators of the numbers being added. This is because, to add fractions effectively (or subtract them), we convert each number to an equivalent fraction with the same denominator. Then we add (or subtract) the numerators while the denominator remains constant.
In summary, any number that can be expressed as a fraction with a finite number of digits or a repeating pattern after the decimal point, being a rational number when added to 0.25, will result in another rational number.
To find a number that, when added to 0.25, produces a rational number, we can subtract the decimal part of 0.25 from 0.25 itself. The number that satisfies this condition is -1/4.
Explanation:To find a number that produces a rational number when added to 0.25, we need to understand that a rational number is one that can be expressed as a fraction. So we are looking for a number that, when added to 0.25, results in a fraction.
Let's call the number we're looking for 'x'. To make the addition result in a fraction, 'x' needs to be the negative of the decimal part of 0.25. Since 0.25 is equal to the fraction 1/4, the negative of the decimal part is -(1/4) = -1/4.
Therefore, the number that produces a rational number when added to 0.25 is -1/4.
the average airspeed velocity of an unladen European swallow is approximately 24 miles per hour at this rate how many hours will it take to swallow to fly from Appin to Glen Coe about 18 Miles??
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[tex]x = \frac{18}{24} = 0.75 [/tex]
So, it would take him:
[tex]0.75(60) = 45[/tex]
So, it will be 45 mins.
Write the time another way. 18 minutes before 11
Answers
There are 60 minutes in an hour.
18 minutes before 11 can be written as:
10:42
Vicki started jogging. The first time she ran she ran 3/16 mile. The second time, she ran 3/8 Mile, and the third time, she ran 9/16 mile. If she continue this pattern, when was the first time she ran more than one mile explain
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Answer: So the pattern is 3/16, 3/8, 9/16
here you can write 3/8 = 6/16 multiplying numerator and denominator by 2.
Then the sequence is 3/16, 6/16, 9/16....
you can see that is an arithmetic sequence, where in every step you are adding 3/16 to the previous number.
So the next time (the fourth) she will ran (9 +3)/16 = 12/16 mile
the fifth time: (12 + 3)/16 = 15/16 mile
the sixth time : (15 + 3)/16 = 18/16 = 16/16 + 2/16 = (1 + 1/8) miles
So the sixth time she will ran more than one mile.
Kellie called six friends with each call lasting 8 1/2 minutes. how long was Kellie on the phone
Answers
8 1/2 = 8.5 as a decimal
Multiply the number of friends Kellie called (6) by how long each call lasted (8.5 minutes):
8.5 * 6 = 51
A N S W E R:
Kallie was on the phone for 51 minutes.