The original price of a vest for sale at a department store is $80. The store is having a 20%-off sale, and you have a coupon that gives you an additional discount of 20% off the lowest sale price. What is the final selling price of the vest?The original price of a vest for sale at a department store is $80. The store is having a 20%-off sale, and you have a coupon that gives you an additional discount of 20% off the lowest sale price. What is the final selling price of the vest?
Answer:
The final selling price would be $51.20
20% of 80 gives you 16
80-16= 64
20% of the 64 which is from the coupons gives you 12.5
64-12.5 =51.20
Answer:
person above me is correct
Step-by-step explanation:
just put what they put
Using the digits 0-9, at most only one time each, fill in the boxes to
Answer:
2 * 3 + 4 * 5 = 26
5 * 7 + 1 * 8 = 43
Step-by-step explanation:
Given
_ * _ + _ * _ = _ _
Required
Fill in the boxes with digits 0 to 9
From the question we understand that the result must be two digits i.e. _ _
To solve this, we'll make use of trial by error method:
Fill the first two boxes wit 2 and 3: _ * _ becomes 2 * 3
Fill the next two boxes with 4 and 5: _ * _ becomes 4 * 5
So,we have
2 * 3 + 4 * 5
6 + 20
26
Hence, the first combination is 2 * 3 + 4 * 5 = 26
Another possible combination is:
Fill the first two boxes wit 5 and 7: _ * _ becomes 5 * 7
Fill the next two boxes with 1 and 8: _ * _ becomes 1 * 8
So,we have
5 * 7 + 1 * 8
35 + 8
43
Hence, another combination is 5 * 7 + 1 * 8 = 43
Note that; there are more possible combinations
Bruno had a gross income of $4925 during each pay period last year. If he got
paid monthly, how much of his yearly pay was deducted for FICA?
A. $4521.15
B. $3250.50
C. $3871.05
D. $3841.50
The amount of Bruno's yearly pay deducted for FICA is approximately
A. $4,524.15. The closest option provided is A. $4521.15.
To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.
As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.
Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:
Yearly gross income = $4925 * 12 = $59,100
To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:
Social Security deduction = $59,100 * 6.2% = $3,667.20
Medicare deduction = $59,100 * 1.45% = $856.95
Adding these two deductions together:
FICA deduction = $3,667.20 + $856.95 = $4,524.15
Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.
The closest option provided is A. $4521.15.
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ling and Subtracting Rational Expressions Find the least common multiple of the pair of polynomials. 3z^(2)-75 and z+5
The least common multiple of 3z² - 75 and z + 5 is 3z² - 45.
The least common multiple of 3z² - 75 and z + 5, we first need to factor each polynomial:
3z² - 75 = 3(z² - 25)
= 3(z - 5)(z + 5)
z + 5 = 1(z + 5)
Next, we identify the common factors between the two polynomials and take the highest power of each:
3(z - 5)(z + 5) has factors of 3, (z - 5), and (z + 5)
1(z + 5) has factors of 1 and (z + 5)
The least common multiple of these two polynomials is the product of the highest powers of each factor.
The least common multiple is:
LCM = 3(z - 5)(z + 5)
= 3z² - 45
We must first factor each polynomial to get the least common multiple of 3z² - 75 and z + 5.
Z + 5 = 1(z + 5)
= 3z² - 75
= 3(z² - 25)
= 3(z - 5)(z + 5)
The greatest power of each polynomial is then selected after determining the elements that the two polynomials have in common:
3(z - 5) Factors of (z + 5) include 3, (z - 5), and (z + 5).
The components of 1(z + 5) are 1 and (z + 5).
The sum of the greatest powers of each factor produces the least frequent multiple of these two polynomials.
This is the least frequent multiple:
LCM is equal to 3(z - 5)(z + 5) = 3z² - 45.
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Hank made payments of $219 per month at the end of each month for 30 years to purchase a piece of property. He promptly sold it for $195,258. What interest rate, compounded monthly, would he need to earn on an ordinary annuity for a comparable rate of return?
To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.
To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.
First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.
Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.
Using the formula for the present value of an ordinary annuity, we have:
PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.
Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.
Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.
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Last year at a certain high school, there were 96 boys on the honor roll and 85 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
22.7
Step-by-step explanation:
ok so, First we need to find new values:
96( 1 + 0.25) =120
85( 1+0.2)= 102
Boys last year girls last year total this year
96 85 181
Boys this year girls this year total this year
120 102 222
Find the overall increase:
181( 1+r)= 1.226519
THEN U SUBTRACT 1
r=0.226519
Multiply by 100 and round to nearest 10th
22.7%
Final Answer: 22.7%
HOPED IT HELPED:)
express 30.725 correct to one decimal place
Answer:
30.7
Step-by-step explanation:
30.725 to one decimal place is 30.7. To round/correct to one decimal place, it would be the tenths. So, look at the hundredths place number (2), and if its greater than 5, add 1 to the tenths place (7 changes to 8), and if its less than 5, don't do anything (7 stays as 7).
Hope this helps! :)
Answer:
The value corrected to one decimal place is 30.7
Step-by-step explanation:
The value 30.725 has three decimal places. The number 7 is in the one's place, the number 2 is in the tenth place, and the number 5 is in the hundredth place.
To round off, if the value in a place is equal to or above 5, the previous place number is increased by one; else it remains the same. In this case, the hundredth place is 5, so we add 1 to the tenth place. This gives us 2 + 1 = 3. Therefore, the number is expressed with two decimal places as 30.73.
To express it as one decimal place, we look at the value in the tenth place, which is 3. As 3 is less than 5, the one's place remains the same.
Thus, the value is 30.7 when expressed with one decimal place.
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Craig went bowling with $25 to spend. He rented shoes for $5.00 and paid $4.00 for each game. What was the greatest number of games Craig could have played?
Answer:
5 games
Step-by-step explanation:
Answer:
6 games.
Step-by-step explanation:
25 - 5 = 20 {We subtract 5 from 25 because craig has 25$ to spend, and are renting shoes for 5$. The rest of the money is going towards the cost PER game, shown in step 2.}
20 divided by 4 = 6. {4$ is the cost of each game. Therefore, divide 20 by 4.}
hope this helped! Have a great day/night!! :')
Nineteen less than twice a number is greater than the number added by four
Answer:
2x - 19 + x + 4
Step-by-step explanation:
2x - 19 + x + 4
It’s my final and I haven’t paid attention
Answer:
f(x)= (1/2)x-3
Step-by-step explanation:
which graph is the graph of f(x) = 2 + 2?
on a number line what is the distance between 18 and 36
Answer:
17
Step-by-step explanation:
18, 19, 20, 21, 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
The shaded part of the model represents a fraction. Another fraction was subtracted from the first fraction.
Which expression is represented by the model?
1. 2/7 - 6/13
2. 13/21 - 2/7
3. 13/21 - 6/13
4. 6/13 - 2/7
Please help me with this question!
The expression represented by the model is 4. 6/13 - 2/7.
What is expression?Expression in math is a combination of numbers, symbols, and operators, such as variables and constants, used to represent a mathematical relationship. It can be used to represent the solution of a problem or the evaluation of a function. Expressions are used in algebra, calculus, and other branches of mathematics to describe the relationships between different elements.
This expression can be seen by looking at the model; the shaded portion represents the fraction 6/13 and the portion that was subtracted from it is 2/7. Thus, the expression represented by the model is 6/13 - 2/7.
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solve for unknown in 2x^3+6x^2-20x=0
The solution of x is x = 0, x =2 and x = -5
How to solve for the unknown?The equation is given as:
2x^3+6x^2-20x=0
Factor out x
x(2x^2+6x-20)=0
Split the equation
x = 0 or 2x^2+6x - 20=0
Solve for x in 2x^2+6x - 20=0
Expand the equation
2x^2 + 10x - 4x - 20 = 0
Factorize the equation
(2x - 4)(x +5) = 0
Split the equation
2x - 4 = 0 and x + 5 = 0
Solve for x
x =2 and x = -5
Hence, the solution of x is x = 0, x =2 and x = -5
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√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method
PLS HELP ME FAST
Step-by-step explanation:
√2x² + 7x +√2=0
2x + 7x + √ 2 =0
√2=9x
x = o.15713484
Nolan drew a pre-image of a trapezoid using a dashed line. Which shows an isometric transformation of his pre-
image??
Answer:
C
Step-by-step explanation:
i just guessed but it was correct
2 + 2. what is the sum
Answer: 4
Step-by-step explanation:
Answer:4
2+2=4 if I have two apples and pick up two more I now have 4 total
5. If a triangular figure is in the shape of an
isosceles right triangle, what is the measure
of each base angle?
Answer: each base angle in an isosceles right triangle measures 45 degrees.
Step-by-step explanation:
In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).
Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.
To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:
x + x + 90 = 180
Simplifying the equation:
2x + 90 = 180
Subtracting 90 from both sides:
2x = 90
Dividing both sides by 2:
x = 45
Someone help so lost I didn’t understand the course and now I’m stuck please help a girl out
Answer:
the answer is b. you are basically multiplying them
Find an irrational number that is between 5.2 and 5.5
Answer:
answer is 5.3 cuz I am smart I learned this so I'm here to help
helpppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:f(x) = 1/4x
Step-by-step explanation:
Assuming this is a linear equation, we simply use the two points given to find the slope (or gradient depending on where you’re from), to find the equation. So just do rise over run:
Edited: I divided backwards, apologies!
-3 - (-2)/-8 - (-12) = -5/-20 = 1/4x.
Solve the following equation: k - 13 = 15
Answer:
k = 28
Step-by-step explanation:
Answer: k = 28
Step-by-step explanation:
1. Add 13 to both sides -
k = 15 + 13
2. Combine like terms -
k = 28
please help please help
Answer:
i read the question but i really don't know the answer
Shana and Clara bought identical chocolate bars after school. Shana ate 3 8 of her chocolate bar and Clara ate 3 4 of hers. If Clara gave the rest of her chocolate bar to Shana, how much chocolate would Shana have all together?
Answer:
10/8
Step-by-step explanation:
Laurent is preparing a fruit salad. She wants the total carbohydrates from pineapple and watermelon to equal 24 g. Pineapple has 3 g of carbohydrates per ounce and watermelon has 2 g of carbohydrates per ounce. Write and graph an equation to model this situation.
Answer:
3x+2y=24
Step-by-step explanation:
I made the x value be the pineapples and the y value be the watermelon. And it said in the problem that it should equal 24g so I made it equal 24. Next You would need to find the x and y intercepts in order to graph it.
2y=24 and 3x=24, so x=8 and y=12. Now unfortunately I can't add a graph here but if you input those intercepts in an app like desmos or photomath, you'll get a graph. Hope this helps!
what percent of 132 grams is 43.2 grams ??
Write each fraction as a decimal. Use bar notation if necessary odds only
Answer:number one=0.4667 and two is 0.44444444444
Step-by-step explanation:
The decimal form of the fractions is written below,
7 / 15 = 0.46
8 / 18 = 0.45
-8/12 = -0.67
-6 / 7 = 0.85
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated.
The given fractions in the form of decimal numbers can be written below,
Divide the number 7 by 15,
7 / 15 = 0.46
Divide the number 8 by 18,
8 / 18 = 0.45
Divide the number -8 by 12,
-8/12 = -0.67
Divide the number -6 by 7,
-6 / 7 = 0.85
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Please hurry! I have no idea what to do lol
ok
under the -4 is a 16
under the 0 is a 4
under the 8 is a -20
Your Welcome
Aladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall
Answer:
3.3m
Step-by-step explanation:
The data below shows the money Paritosh spends on a weekend. What will be the central angles of each of these categories?with the numbers 40 100 50 50
The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.
To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:
Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.
Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).
Central angle for the first category: (40/240) * 360 = 60 degrees.
Central angle for the second category: (100/240) * 360 = 150 degrees.
Central angle for the third category: (50/240) * 360 = 75 degrees.
Central angle for the fourth category: (50/240) * 360 = 75 degrees.
The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.
These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.
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