Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
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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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100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
The similar triangles for this problem are given as follows:
RST and VUT.
Then the measure VT is given as follows:
VT = 5.4 units.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Hence the similar triangles for this problem are given as follows:
RST and VUT.
The proportional relationship for the side lengths is given as follows:
6/14 = (x + 2)/(4x - 1).
Applying cross multiplication, the value of x is obtained as follows:
14(x + 2) = 6(4x - 1)
14x + 28 = 24x - 6
10x = 3.4
x = 3.4.
Then the length VT is given as follows:
VT = 3.4 + 2
VT = 5.4 units.
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If the nth term of a number sequence is 3n²
find the first 3 terms and the 10th term.
Answer:
Step-by-step explanation:
3(1)^2 = 3
3(2)^2 = 12
3(3)^2 = 27
3(10)^2 = 300
You need a 40\% alcohol solution. On hand, you have a 150 mL of a 20% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?
Answer:
You need to add 200 mL of the 55% to obtain the desired solution
Step-by-step explanation:
x=mixture you need to add
20% * 150 + 55% x = 40%(x + 150)
0.20 * 150 + 0.55x = 0.40(x + 150)
30+0.55x=60+0.40x
0.15x = 30
x=200 mL
A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Look at each drink mix. Does each drink mix follow the recipe? A 4 cups of fruit juice and 10 cups of water Yes No B 0.5 cup of fruit juice and 1 cup of water Yes No C 1 cup of fruit juice and 2.5 cups of water Yes No D 7 cups of fruit juice and 17 cups of water
Answer:
A and CStep-by-step explanation:
A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water.
The ratio of fruit juice / water is:
2/5Options, compare the ratios with 2/5:
A) 4 cups of fruit juice and 10 cups of water
4/10 = 2/5 YesB) 0.5 cup of fruit juice and 1 cup of water
0.5/1 = 1/2 NoC) 1 cup of fruit juice and 2.5 cups of water
1 / 2.5 = 2/ 5 YesD) 7 cups of fruit juice and 17 cups of water
7/17 NoGiven :
A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water.To find :-
To choose between yes or no .Solution :-
According to the Question ,
Ratio of juice : water = 2:5 .Convert all the given ratios in the options to their simplest form .
A) 4 cups of fruit juice and 10 cups of water - Yes
Simplest ratio = 4 : 10 Simplest ratio = 2:5B) 0.5 cup of fruit juice and 1 cup of water - No
Simplest ratio = 0.5 : 1 Simplest ratio = 1/2 : 1 Simplest ratio = 1:2C) 1 cup of fruit juice and 2.5 cups of water - Yes
Simplest ratio = 1: 2.5 Simplest ratio = 1: 5/2 Simplest ratio = 2 :5D) 7 cups of fruit juice and 17 cups of water - No
Simplest ratio = 7:17A total of 5000 tickets were sold for a raffle. the prizes are $1000, $500, $200, and $100. what price should be charged so there is a 60% profit per ticket?
Answer: $0.576
Step-by-step explanation:
The total amount in prizes is $1800.
For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).
Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)
Need help ASAP... 10 points!!
Answer:
I'm 89.73% sure that the answer is 90 degrees
Step-by-step explanation:
because you are on a right angle
The double number lines show the ratio of cups to gallons. How many cups are in 333 gallons? _____ cups
Answer:
5328 cups.
Step-by-step explanation:
Given that 333 gallons
We know that
1 gallons = 16 cups
1 cups = 0.0625 gallons
Therefore,from the above conversion we can say that
Now by putting the values in the above conversion
333 gallons = 16 x 333 cups
333 gallons = 5328 cups
So , we can say that 333 gallons is equal to 5328 cups.
Thus the answer will be 5328 cups.
Answer:
48 cups(BTW he meant 33 galons, IVE had this before). lol you need to put the double number line image. first u have to divide 64/4 to get 16, Then it says "How many cups are in 3 gallons". There fore, U multiply 16 to 3 to get ur answer "48".
Find the equation of the exponential function that goes through the points (0,3) and (3,375).
The equation of the exponential function that goes through the points (0,3) and (3,375) is y = 5(3)^x
Exponential equationThe standard form of an exponential equation is given as y = ab^x
Using the coordinate points on the graph (0,3) and (3,375).
The equivalent equations are;
375 = ab^3
3 = ab^0
From equation2;
a= 3
Substitute into equation 1;
375 = 3b^3
b^3 = 375/3
b^3 = 125
b = 5
Determine the equation
y = 3ab^x
y = 3(5)^x
This gives the required exponential equation
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Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
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Andrea spent 5/9 of her money buying a guitar if she had €296 left how much had she had first
Answer:
kkk
Step-by-step explanation:
What is invariant under a dilation?
Answer:
pls look at photo attached
What is 48% of 159 express your answer rounded correctly to one decimal place
Answer:
.48 * 159 = 76.32
Step-by-step explanation:
The electrical resistance varies directly as the square of the voltage (V
) and inversely as the electric power (P
). If the voltage is 20
volts and the electric power is 5
watts, then the electrical resistance is 80
ohms.
The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.
In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.
The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.
According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms
Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.
Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
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can somebody please help me i’ll gift you 40 points
Answer:
B and D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
she got 35 is positive 35
she bought something for 15 and something for 7 is negative 15 and 7
she got 10 is positive 10
+35 + (-15) + (-7) + 10
35-15-7+10
Solve by using elimination. Express your answer as an Ordered pair (-x +2y=3 3x-2y=7
Answer:
(5,4)
Step-by-step explanation:
-x+2y=3
3x-2y=7
Add the like terms( 2y and -2y)(-x and 3x)(3 and 7) together. Do this vertically. 2y and -2y cancel eachother out.
2x=10Divide both sides by 2
x=5To find y, substitute x in for y in one of the equations
-5+2y=3add 5 to both sides
2y=8Divide both sides by 2
y=4Check:
-5+2(4)=33=3Robby took his dog Shaggy to the groomer. The grooming service was $30. If he wants to leave a 25% tip for the groomer. How much will his total charge on his debit card be for the grooming service and the tip?
Answer:
37.5
Step-by-step explanation:
HELP, ILL GIVE BRAINLIEST BUT HELP ASAP WITH THIS!!
Answer:
proportional
Step-by-step explanation:
Someone plzz help you get 10 points.
Jason wants to solve the following system using the elimination method:
x + 3y = 10
2x + y = 5
What number should the equation 2x + y = 5 be multiplied by to eliminate y?
a. 2
b. -3
c. -2
d. 3
Answer:
No single Correct answer. Both b and d will work
Step-by-step explanation:
You want to get rid of y.
The first equation has a 3 in front of the y
Therefore you would have to multiply the second equation by 3 or - 3
If you use -3 you would add the two equations
If you use 3 you would subtract the two equations.
It is either b or d. Both will give you the same answer.
- Three
x + 3y = 10
-6x - 3y = - 15 Add
-5x = - 5 Divide by - 5
x = -5/-5
x = 1
+ Three
x + 3y = 10
6x + 3y = 15 Subtract
-5x = - 5
x = -5/-5
x = 1 Same thing.
how to get from 4 to 4/3
Which of the following is a list that follows this pattern with its numbers: prime, prime, prime, composite, prime, prime 1, 5, 7, 9, 11, 13 1, 2, 5, 7, 9, 15 2, 4, 6, 8, 10, 12 11, 9, 3, 2, 5, 4, 8
The correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.
What are prime and composite numbers?Prime numbers:-
The prime number is defined as the number which is divided by 1 and itself.
Composite numbers:-
The number is defined as the composite number when the number is divided by 1 itself and any other numbers also.
From the given options we need to choose the pattern of the series { prime, prime, prime, composite, prime, prime } so we can see that in option A correct pattern is followed.
Pattern { 1, 5, 7, 9, 11, 13 }
1 → prime
5 → prime
7 → prime
9 → composite
11 → prime
13 → prime
Therefore the correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.
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A bag contains 10 red marbles .15 yellow marbles, 5 Green marbles and 20 blue marbles. Five marbles are drawn from the bag. what is the approximate probability that exactly 2 of the five are blue?
Answer:
c
Step-by-step explanation:
A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.
The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).
As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.
Here we have to calculate the probability that the number landing face up will be less than 3.
The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6
(1, 2, 3, 4, 5, 6)
Favorable number of faces of a die = 2
(1, 2)
Since the number landing faces up will be less than 3.
Therefore the probability that the number landing face up will be less than 3
\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)
\(& =\frac{2}{6} \\\)
\(& =\frac{1}{3}\)
Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)
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The long-run relative frequency of a number less than 3 landing face up is 2/3.
The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.
For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.
For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.
Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.
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6 X (22 + 9) = 6 x 22 + 6 x 9
This is an example of ______
property.
Answer:Distributive property
Step-by-step explanation:
6 X (22 + 9) = 6 x 22 + 6 x 9 is an example of the distributive property where you can distribute the multiplication to each term inside the parentheses.
The distributive property states that when you multiply a number by the sum of two or more numbers, you can distribute the multiplication to each term inside the parentheses. Mathematically, it can be expressed as:
a x (b + c) = (a x b) + (a x c)
In the given equation, we have:
6 x (22 + 9) = 6 x 22 + 6 x 9
By applying the distributive property, we distribute the multiplication of 6 to each term inside the parentheses:
6 x 22 + 6 x 9
This simplifies to:
132 + 54
Therefore, the distributive property allows us to break down the multiplication of a number by the sum of two or more numbers into separate multiplications, resulting in the same outcome.
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Select the correct answer from each drop-down menu.
What type of risk applies to an investment in Treasury bonds?
The risk that the value of the Treasury bond will diminish over time if the value of the dollar decreases, or buys less than it used to, is
called
government to repay the bond.
v risk. Treasury bonds are seen to have no
vrisk because theyre backed by the promise of the US
Answer:
The first drop down is Inflationary and the second drop down is Credit.
Step-by-step explanation:
Solve 3x-1=10
011/3
3/11
O
3
Answer:
3/11 because the other guy said it
A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
It also has a perpendicular height of 12 cm.
The volume of the pyramid is 96 cm³.
Given that the volume of a pyramid is one third of the area of the base
multiplied by the perpendicular height, find the dimensions of the base
of the pyramid.
what is the width and length?
Answer:
Step-by-step explanation: sending you a photo .
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = x + 11
Step-by-step explanation:
The table is showing 4 x and y values. With the question of which equation gives the rule of the table.
To solve, all we have to do is plug in x with the correspondant equation, same goes with y.
y = x + 11 will be the only one that fits mainly because all the other ones gives a higher result.
Answer:
y = x + 11
Step-by-step explanation:
y + 11 = 11
1 + 11 = 12
2 + 11 = 13
3+ 11 = 14
4+ 11 = 15
y is the first row, 1,2,3,and 4
11 is 11 (lol)
x is the answer
your answer is y=x+11