Answer: 12-(15/3)-3 = 4
Step-by-step explanation:
12-(15/3)-3 = 4
The disposable income from your part-time job in 2019 was $17,000. In 2018, you borrowed $560 at 15 percent interest. You repaid
your loan with interest in 2019. How much would you have available for spending in 2019? (Do not round intermediate calculations.)
Spending amount available in 2019
If my disposable income from a part-time job in 2019 was $17,000, and I repaid a loan of $560 at 15 percent interest, borrowed in 2018 from my income of 2019, then I will have $ available for spending in 2019.
As per the question statement, my disposable income from a part-time job in 2019 was $17,000, and I repaid a loan of $560 at 15 percent interest, borrowed in 2018 from it.
We are required to calculate the amount I will be left with, to spend in 2019.
To solve this question, first, let us calculate the amount we had to pay to close our loan of 2018, along with it's 1 year's interest.
Since the loan was repaid in a year, hence, it does not matter if the interest was simple or compound as the magnitude of simple and compound interest on the same principle and at same rate of interest for a year is equal.
Let us proceed with the consideration that the interest was compounded annually at the rate of 15% per annum.
As per the basic formula of Compound Interest,
[tex]A=[P*(1+\frac{R}{100})^n][/tex]
Where, A = Final Amount i.e., (Principle + Interest).
P = Principle on which Interest in compounded
R = Rate of Compound Interest per annum
n = Time period of interest .
Here, (P = $560), (R = 15%) and (n = 1).
Therefore, total amount to be repaid to close the loan in 2019
[tex]=[560*(1+\frac{15}{100})^1]\\\\=[560*(1+\frac{3}{20})]\\=[560*(\frac{20+3}{20})]\\ =(560*\frac{23}{20})\\ =(28*23)\\=644[/tex]
Hence, my left-over balance after paying $644 from my disposable income of $17,000 which I earned from a part time job in 2019, will be $(17000 - 644) = $16356.
Loan: In Business, a loan is a lended a sum of money that is expected to be paid back with interest.Interest: Interest is the amount, paid regularly at a particular rate of the main principle borrowed, for the use of money lent, or for delaying the repayment of a debt.To learn more about Loans and Interest, click on the link below.
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Joyce saved $180 on an item that was 40
%
off. What was the original price?
Write answer to the nearest cent.
Answer: 450
Step-by-step explanation:
x is the original price.
40 percent times x = 180
or [tex]\frac{40}{100}[/tex] times x= 180
multiplying both sides by 100 and dividing by 40
x=180 times [tex]\frac{100}{40}[/tex]
now just do 180 times 100 divided by 40
which gives you 450
convert this rational number to its decimal form and round to the nearest thousandth 6/7 (its 8th grade math but I don't know how to change it)
The fraction 6/7 converted to decimal and rounded to thousands place is 0.8571.
What is a decimal?A decimal is a dot that separates the whole part and the fractional part of a given number.
To convert this proper fraction 6/7 into the decimal form we first have to divide 6 by 7 which is 0.8571428571.
Now, we have to round this number 0.8571428571 to thousands place so we will look at the digit ten thousand places which is 4 and less than 5 so we will make every digit after thousands place to zeroes which is 0.8571000000 and zeroes after decimal place is meaning less, therefore, this number will be 0.8571.
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What are the values of A, B & C?
The value of the AB is 47 and the C is 5.
According to the statement
We have to find that the value of the A,B,C.
So, For this purpose, we know that the
Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
From the given information:
The equations are:
AB+C = 52
And
AB+10C = 97
And now compare it then
AB+C = 52
AB+10C = 97
After that it become
-9C = -45
C = 5
Then
The equation become :
AB+C = 52
AB+5 = 52
AB = 47
The value of the AB is 47.
So, The value of the AB is 47 and the C is 5.
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The amount an individual is required to pay in taxes is known as _____.
Answer: The amount an individual is required to pay in taxes is known as alternative minimum tax (AMT).
Step-by-step explanation:
Define Tax :
An amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.
Some important Direct taxes include:
Income tax.Wealth tax.Gift tax.Capital Gains tax.Securities Transaction tax.Corporate tax.So,
People who have benefited greatly from tax breaks due to their high economic income are subject to the alternative minimum tax.
This tax acts as a corrective measure to ensure that person pays the least amount of tax possible.
The excess of a purported minimal tax above a regular tax is known as an alternative minimum tax. The income of a person, deductions, and exemptions are taken into account while determining the alleged minimum tax, and then the alternative minimum tax rate is applied.
It is then compared to the standard tax after receiving the purported minimum tax. The person is subject to alternative minimum tax if it is higher than the ordinary tax.
The alternative minimum tax may apply to taxpayers who have a lot of itemized deductions and tax preference items (AMT).
Therefore,
The amount an individual is required to pay in taxes is known as alternative minimum tax (AMT).
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Pls help me
find the midpoint of the segment with the given endpoints.
(2,-6) and (-4,-4)
Answer:
Midpoint: (-1,-5)
Step-by-step explanation:
g(x)=5x+2, find g(-4)g(−4).
The value of g(-4) is (-18)
What is function?A function is defined as a relation between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given function:
g(x)=5x+2
So, the value of g(-4)
g(-4) = 5(-4) +2
g(-4) = -20+2
g(-4) = -18
Hence, the value of g(-4) is -18.
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The product of apositive number
and itself is 3 1/6what is the
number
"
number?
The product of positive number with itself found as 361/36.
What is termed as the square number?The result of multiplying an integer by itself is recognized as its square number.Square numbers always have the digits 0, 1, 4, 5, 6, and 9 at the end. For instance, 25, 49, 81, 100, and so on are perfect square numbers, whereas 37, 48, 22, and so on are not.A square number always has an even number of zeros at the end. This means that if a number ends with an odd number of zeros, it is not a square number.For the stated question;
The given number is 3 1/6, which is in mixed fraction.
Write the number in proper fraction.
3 1/6 = 19/6
Squaring the number means, multiplying the number with itself.
(19/6)² = (19/6) × (19/6)
(19/6)² = 361/36
Thus, the product of positive number itself found as 361/36.
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The sum of two consecutive integers is 87
Answer:
43 and 44
Step-by-step explanation:
x + (x + 1) = 87
2x + 1 = 87
-1 -1
2x = 86
÷2 ÷2
x = 43
43 + (43 + 1) = 87
43 + 44 = 87
87 = 87
I hope this helps!
i need help asap !!!
Answer:
so do i
Step-by-step explanation:
doesnt everybody
Solve the compound inequality. 1/2x -4< 3 and 7≤ 3x +5
In Compound inequality the value of the x is 1/14 < x and 2/3≤ x.
According to the statement
We have to find that the value of the compound inequality.
So, For this purpose, we know that the
A compound inequality consists of two inequalities that are joined together by the word "and" or the word "or".
From the given information:
The equations are:
1/2x -4< 3 and 7≤ 3x +5
Now solve these equations then
1/2x -4< 3
1/2x < 3+4
1/2x < 7
1 < 14x
The value becomes 1/14 < x.
And then take second equation:
7≤ 3x +5
7-5 ≤ 3x
2≤ 3x
The value becomes 2/3≤ x.
So, In Compound inequality the value of the x is 1/14 < x and 2/3≤ x.
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find the negative integers. see picture above^^^
Answer:
i need help with this too let me know when you find out
Step-by-step explanation:
Step-by-step explanation:
all you have to do is remember that -28 is smaller than -26. this is the whole trap here, that you think that analog to the positive integers, where 26 is smaller than 28, that also -26 is the smaller number. but no.
smaller value : -28
larger value : -26
other than that they must be the same absolute value as the positive integers, because the square makes them equal. so, there cannot be any other values involved.
Write the slope-intercept form of the equation that goes with the following chart:
40123
V
6
18
30
42
Answer:
The slope intercept of a line is given by y=mx+c, where:
m=slope, c=y-intercept.
Thus the slope-intercept form of our equation will be:
-6+2y≤42
adding 6 in both sides we get:
-6+6+2y≤42+6
2y≤6
dividing both sides by 2 we get:
(2y)/2≤6/2
y≤3
the answer is y≤3
Step-by-step explanation:
Show that the number is rational by writing
it as a quotient of two integers: 3
The expression 3 as a quotient of two integers can be represented by the expression 6/2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to rewrite the expression as a quotient of two integers:?The expression is given as
3
Next, we multiply 3 by 1
So, we have
3 = 3 x 1
Next, we express 1 as a fraction where the numerator and the denominator are the same e.g. 2/2, 3/3, 4/4...
So, we have
3 = 3 x 2/2
Evaluate the product of 3 and 2
So, we have
3 = 6/2
Hence, the expression 3 as a quotient of two integers can be represented by the expression 6/2
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8.2 part 2 PLEASEEEEEE HELP ME! 3 different questions here guys please help with all 3.
1. Find the measure of the arc or angle indicated.
Applying the inscribed angle theorem, the measures of the angles indicated are:
a. m<EDF = 53°
b. m<BCD = 92°
c. m<SWV = 37°
What is the Inscribed Angle Theorem?The inscribed angle theorem is a circle theorem that explains the relationship between the measure of an inscribed angle and the measure of the intercepted arc in a circle. It states that:
the measure of the inscribed angle = 1/2(the measure of intercepted arc).
Use the inscribed angle theorem to find the arc and angle measures indicated:
a. m<EDF = 1/2(106)
m<EDF = 53°
b. m<BCD = 180 - 88 (opposite angles in a cyclic quadrilateral have a sum of 180 degrees)
m<BCD = 92°
c. m<SWV = 1/2(74)
m<SWV = 37°
Therefore, applying the inscribed angle theorem, the measures of the angles indicated are:
a. m<EDF = 53°
b. m<BCD = 92°
c. m<SWV = 37°
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Help pretty please it’s algebra 2
[tex]m=6n^2+1\hspace{5em}L=\sqrt{m-7} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{L=\sqrt{(6n^2+1)-7}} \implies L=\sqrt{6n^2 -6} \\\\[-0.35em] ~\dotfill\\\\ \textit{when n = 2, what is "L"?}\qquad L=\sqrt{6(2)^2 -6} \\\\\\ L=\sqrt{6(4)-6}\implies \boxed{L=\sqrt{18}} \\\\[-0.35em] ~\dotfill\\\\ \textit{when L = 6, what is "n"?}\qquad 6=\sqrt{6n^2 -6}\implies 6^2=6n^2 -6 \\\\\\ 36=6n^2-6\implies 42=6n^2\implies \cfrac{42}{6}=n^2\implies 7=n^2\implies \boxed{\sqrt{7}=n}[/tex]
how much for 9.3 gallons of gas at $3.30 a gallon
Answer:
Step-by-step explanation:
If you add you will get 9.90 but thats not what you want so you have to divide I think in order to get your answer.
Answer:
30.69
Step-by-step explanation:
9.3 x 3.30=30.69
Divide. 2/5÷5/6 Express your answer in simplest form. Enter your answer in the box.
Answer:
Fraction-12/25 Decimal-0.48
Step-by-step explanation:
To divide fractions, we have the use the term, Keep, Change, Flip.
In this case, the two fractions are 2/5 and 5/6.
First, we Keep the 2/5.
Now, we Change the division sign by a multiplication sign.
So it would look like 2/5x5/6.
Now, for the final step, we Flip the second fraction.
Now, the question would look something like this.
2/5x6/5.
Now, we multiply.
2x6=12, and 5x5=25.
The answer would be 12/25.
In decimal form, it would be 0.48.
Hope that helped! :D
b-2. If long-term financing at 12 percent had been utilized throughout the six months, would the total-dollar interest payments be larger or smaller than with the short-term financing plan?
a) The total dollar interest payments for the six months using the short-term financing interest rates is $377.73.
b.1) The total dollar interest payments for the six months using the long-term financing interest rate is $442.00.
b.2) If long-term financing at 12 percent had been utilized throughout the six months, the total-dollar interest payments would be larger than with the short-term financing plan by $64.27.
Data and Calculations:Month Amount Interest Rate Interest Long-Term
Annual Month Amount Rate Amount
January $9,700 6% 0.50% $48.50 1% $97.00
February $3,700 7% 0.58% 21.46 1% 37.00
March $4,700 10% 0.83% 39.01 1% 47.00
April $9,700 13% 1.08% 104.76 1% 97.00
May $10,700 12% 1.00% 107.00 1% 107.00
June $5,700 12% 1.00% 57.00 1% 57.00
Total interest amount = $377.73 $442.00
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Question Completion:Carmen's Beauty Salon has estimated monthly financial requirements for the next six months as follows:
Month Amount Interest Rate
January $9,700 6%
February $3,700 7%
March $4,700 10%
April $9,700 13%
May $10,700 12%
June $5,700 12%
a) Compute total dollar interest payments for the six months.
b.1) Compute the total dollar interest payments if the long-term financing at 12% had been used throughout the six months.
Which answer is a solution the equation: 2|x+5|=2 Responses x=6x is equal to 6 x=4x is equal to 4 x=1 and x=2x=1 and x=2 x=−6 and x=−4x=−6 and x=−4
Answer:
-6, -4
Step-by-step explanation:
[tex]2|x+5|=2 \\ \\ |x+5|=1 \\ \\ x+5=\pm 1 \\ \\ x=-5 \pm 1 \\ \\ x=-6, -4[/tex]
Help Please!
-2/5x-1 1/4
Answer:
Option D) 1/2Step-by-step explanation:
Simplification in steps:
[tex]-\cfrac{2}{5}*-1\cfrac{1}{4} =[/tex] Two negatives cancel when multiplied[tex]\cfrac{2}{5}*\cfrac{5}{4} =[/tex] Two 5's cancel[tex]\cfrac{2}{4} =[/tex] Simplification by dividing both numbers by 2[tex]\cfrac{1}{2}[/tex] AnswerThe solution of the expression -2/5 x -1 1/4 is 1/2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution of the expression?The expression is given as
-2/5 x -1 1/4
Express the fractions as improper fraction
So, we have
-2/5 x -1 1/4 = -2/5 x -5/4
Evaluate the product
So, we have
-2/5 x -1 1/4 = 10/20
Divide the fraction
So, we have
-2/5 x -1 1/4 = 1/2
Hence, the solution of the expression -2/5 x -1 1/4 is 1/2
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expand: z(5z+3) what is this guys ???
Answer:
[tex]5z^2+3z[/tex]
Step-by-step explanation:
[tex]z\left(5z+3\right)=z\cdot \:5z+z\cdot \:3\\z\cdot \:5z+z\cdot \:3\\z \cdot 3 = 3(z)[/tex]
5z becomes squared
[tex]z\cdot \:5z\\= 5z^2[/tex]
z • z = z²
Remove parentheses
[tex]3(z)\\= 3z\\= 5z^2 + 3z[/tex]
Hope this helps.
All of the following expressions have a value of 3 except _____. -3(4 - 5) |-2| + 1(3 - 2) -8 ÷ -4 + 1 6 - 5 · 3
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
The expression 6 - 5 x 3 does not have the value 3.
6 - 5 x 3 = - 9
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
The math operation can be addition, subtraction, multiplication, or division.
We have,
-3( 4 - 5 )
= -3 x -1
[minus x minus = positive]
= 3
|-2| + 1 ( 3 - 2)
The modulus of any value is always positive.
= 2 + 1 x 1
= 2 + 1
= 3
-8 ÷ -4 + 1
Minus gets canceled after division.
= -8/-4 + 1
= 2 + 1
= 3
6 - 5. 3
= 6 - 15
= -9
Thus all the expressions have a value of 3 except the expression
6 - 5 x 3.
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. A set of positive integers is
A set of positive integers is typically represented as Z+.
It implies all the integers are greater than 0.
When writing a set of positive integers it would look like {1, 2, 3, 4, 5, 6, 7, etc.}
Answer:
anything that is a whole number more than 0
Step-by-step explanation:
Jasmine is saving money to buy a pair of Airpod Pros. The Airpods have a total cost of $250 and she has already saved $70. If she is able to save $30 a week, how many weeks will it take until she is able to purchase the Airpod Pros?
guys im timed
Answer:
a. 250
b. 70
c. 3
Step-by-step explanation:
w = weeks
70 + 3w = 250
3w = 250 - 70
w = (250 - 70) / 3
Step-by-step explanation:
got u bro
airpods=250
her saving=70
30 per week=30x6=180
180+70=250
so she have 6 weeks till she buys the airpods pro
A company started the year with no supplies. During the year they bought $200 worth of supplies on account and later paid $150 of this debt .If there were $40 worth of supplies left at the end of the year what is the supply expense for the period?
The amount of supply (in inventory) expense of the company during the year is $160
How can the supply expense be calculated?The amount of supplies at the start of the year = No supplies
Amount of supplies bought during the year = $200
The amount paid for the supply = $150
Amount of supplies left at the end of the year = $40
Required: The supply expense for the period
Solution:
Supply expense = Amount bought on credit - Amount remaining
Therefore;
Supply expense = $200 - $40 = $160
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Does this set of ordered pairs form a function?
{(60, 108), (62, 102), (64, 130), (65, 130), (66, 143), (67, 128), (69, 147), (70, 148), (70, 166), (71, 162), (73, 165), (73,174), (74, 178)}
yes or no
Solve. 3|x+2| - 7=14
Answer:
X= 5, -9
Step-by-step explanation:
1. Move all terms not containing |x+2| to the right side of the equation.
3|x+2|=21
2. Divide each term in 3|x+2|=21 by 3 and simplify
|x+2|=7
3. Remove the absolute value term. This creates a ± on the right side of the equation because |x| = ±x
x+2= ±7
4. The complete solution is the result of both the positive and negative portions of the solution
x= 5, -9
-Rocketgamer360
What is the value of x that makes the given equation true?
4x-3-12x + 13
0x=-3
Ox=0
OX= 1
O x = 16
Answer:
Only the value of (x = 1) makes the above-mentioned equation (4x - 3) = (-12x + 13) true.
Step-by-step explanation:
In this question we are given an equation (4x - 3) = (-12x + 13), in which we need to put different values for x given below for which the equation will become true.
The given values of x to put in to the equation to make it true are;
x = 13,0,1,16
Now, let us put the value of (x = -3) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(-3) - 3 = -12(-3) + 13
=> -12 - 3 = 36 + 13
=> -15 = 49
Thus, the value of (x = -3) does not make the above-mentioned equation true.
Now, let us put the value of (x = 0) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(0) - 3 = -12(0) + 13
=> -3 = 13
Thus, the value of (x = 0) does not make the above-mentioned equation true.
Now, let us put the value of (x = 1) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(1) - 3 = -12(1) + 13
=> 1 = 1
Thus, the value of (x = 1) makes the above-mentioned equation true.
Now, let us put the value of (x = 16) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(16) - 3 = -12(16) + 13
=> 64 - 3 = -192 + 13
=> 61 = -179
Thus, the value of (x = 16) does not make the above-mentioned equation true.
Therefore, only the value of (x = 1) makes the above-mentioned equation (4x - 3) = (-12x + 13) true.
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A bicycle is traveling at 22 miles per hour. How many feet will it cover in 40 seconds? Round your answer to the nearest tenth of a foot.