Answer:
The amount of a check issued for an 08/11 invoice, would depend on when the invoice is paid.
If it's paid within 13 days, there's a 3% discount . which will be calculated as
648.50 x 3% = $19.455 discount
If it's paid within 11 - 15 days, there's a 2% discount.
648.50 x 2% = $12.97 discount
If it's paid within 16 - 30 days, there is no discount
If it's paid after 30 days, 5% APR is added to the bill
The check would be for the invoice amount of $648.50 plus a late fee of $2.67, totaling $651.17. The late fee is applied since the payment was made 3 days after the 30-day period from the invoice date and calculated using a daily rate derived from the 5% APR.
Explanation:The invoice has specific payment terms: 3/10, 2/15, N30. These are discounts offered for early payment. The first part '3/10' means that the payer gets a 3% discount if they pay within 10 days. The second part '2/15' offers a 2% discount if the payer pays within 15 days. 'N30' means that the full amount due needs to be paid within 30 days from invoice date. Additionally, there is a 5% APR (annual percentage rate) charge for late payments.
The invoice was issued on 08/11, and the payment was made on 09/13, which is 33 days after the invoice date. Therefore, there aren't any discounts for the payment because it's not within the 10 or 15 days period. However, it's slightly over the 30 days, so there will be a late fee applied. The late fee is commonly calculated based on a daily rate. The daily rate is the APR divided by 365 (5%/365=0.0137%). Multiply the daily rate by the number of late days (33-30=3) and the invoice amount ($648.50).
So the late fee is 648.50*0.0137%*3=$2.67. The amount of the check would be the original invoice amount $648.50 plus late fee $2.67, so the total is $651.17.
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Find x (Show work to get brainliest)
(-2x + 5) + (5x + 3) = 5
(-2x + 5) + (5x + 3) = 5
3x + 8 = 5
3x = -3
x = -1
(Combine Like Terms)
(−2x+5x)+(5+3)=5 ----> 3x+8=5
Subtract 8 from both sides.
3x + 8 − 8 = 5 − 8 -------> 3x = − 3
Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{-3}{3}[/tex]
x = −1
A glass of cold water is removed from a refrigerator whose interior temperature is 39°F into a room maintained at 72°F. One minute later the temperature of the water is 43°F. What is the temperature of the water after 9 minutes? (Round your answers to two decimal places.)
°F
What is the temperature of the water after 28 minutes?
°F
what is 28.40 times 0.87
Answer:
24.708
Step-by-step explanation:
What is a equivalent expression of -3(2b-7)
Answer:
-6b+21
Step-by-step explanation:
What is the positive solution to the quadratic function x² - 4x = 0?
Answer:
x = 4
Step-by-step explanation:
from the given expression, factorise to have;
x (x - 4) = 0
Thus, X = 0 or x - 4 = 0
x - 4 = 0
x = 4
Thus, x = 0 or x = 4
Therefore the positive solution to the quadratic function is 4.
A bank offers 2.12 interest compounded annually for investing money in a savings account, you open an account with $300. How much money in interest big you leave it for 10 years
Answer:
[tex]\large \boxed{\$70.02}[/tex]
Step-by-step explanation:
The compound interest formula is
[tex]A = P\left(1 + \dfrac{r}{n}\right)^{nt}[/tex]
Data:
P = 300
r = 2.12 % = 0.0212
t = 10 yr
n = 1 calculation per year
1. Accrued amount:
A = 300(1+ 0.0212)¹⁰
= 300 × 1.0212¹⁰
= 300 × 1.233 41
= 370.02
2. Interest
I = A - P = 370.02 - 300.00 = 70.02
[tex]\text{The interest is $\large \boxed{\mathbf{\$70.02}}$}[/tex]
Final answer:
Using the compound interest formula, investing $300 at an annual interest rate of 2.12% compounded annually for 10 years will result in approximately $70.37 in interest, totaling $370.37.
Explanation:
A bank offers 2.12% interest compounded annually for investing money in a savings account, and you open an account with $300. How much money in interest will you earn if you leave it for 10 years?
To calculate the amount of money you will have after 10 years, including interest, you can use the formula for compound interest: [tex]A = P(1 + r/n)^{(nt)[/tex], where:
P = principal amount (initial investment) is $300,r = annual interest rate in decimal form, which is 0.0212 for 2.12%,n = number of times the interest is compounded per year, which is 1 since it's compounded annually,t = time the money is invested for in years, which is 10 years.Plugging these values into the formula gives us: [tex]A = $300(1 + 0.0212/1)^{(1*10)[/tex] = [tex]$300(1 + 0.0212)^{10[/tex] = [tex]$300(1.0212)^{10.[/tex]
Calculating this, we get A = $300(1.234567), which equals approximately $370.37. Therefore, the total interest earned over 10 years is approximately $70.37.
A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units.
What is the value of x?
Divide the perimeter by 4 to get the length of a side:
112/4= 28
Now solve for x:
X + 4 = 28
Subtract 4 from both sides:
X = 24
In a week Mike ran 8 km farther than Bill, while Pete ran
1 km less than 3 times as far as Bill. If Pete ran 15 km
farther than Mike, how many kilometers did Bill run?
Answer:
12 km
Step-by-step explanation:
m = b + 8
p = 3b - 1
p = m + 15
p = m + 15....and m = b + 8....so we are gonna sub
p = b + 8 + 15
p = b + 23
b + 23 = 3b - 1
23 + 1 = 3b - b
24 = 2b
24/2 = b
b = 12 <==== Bill ran 12 km
m = b + 8
m = 12 + 8
m = 20 km....this is what mike ran
p = m + 15
p = 20 + 15
p = 35 km....this is what pete ran
Bill ran a distance of 12 kilometers. This was determined through algebraic calculations, taking into account the given information about the distances run by Mike, Pete, and the relationships between their distances.
Let's use algebra to solve this problem. We'll denote the distances run by each person:Bill's distance: B kmMike's distance: B + 8 km (Mike ran 8 km farther than Bill)Pete's distance: 3B - 1 km (Pete ran 1 km less than 3 times as far as Bill)Now, we're given that Pete ran 15 km farther than Mike:Pete's distance (3B - 1) = Mike's distance (B + 8) + 15Now, let's set up this equation:3B - 1 = B + 8 + 15Now, solve for B:3B - 1 = B + 23Subtract B from both sides:2B - 1 = 23Add 1 to both sides:2B = 24Now, divide by 2:B = 24 / 2B = 12So, Bill ran 12 km.For more questions on algebraic calculations -
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find the measure of one interior angle of a regular undecagon (11 sided)
Answer:
147.27 degrees.
Step-by-step explanation:
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above)... And there are eleven angles... So, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.
The solution is, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.
What is the polygon?A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
we know that,
All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above)...
And there are eleven angles...
So, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.
Hence, The solution is, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.
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Pythagorus' Theroem
A rope is tied to the top of the 6m wall of a tent and tied to a peg in the ground. The peg is 2m from the bottom of the tent. How long is the rope, correct to 2d.p
Roz started with 50 berries in her basket, and then picked another 75 berries every 15 minutes. Which representation matches this scenario?
How to work out the problem 491 divided by 8
Answer:
61.375
Step-by-step explanation:
Given : [tex]\frac{491}{8}[/tex]
The fraction is not dividing by a common number in numerator and denominator to simplify, So dividing the numerator directly by 8.
Gives [tex]\frac{491}{8}= 61.375[/tex]
So, 61.375 is the answer of the above problem.
Determine the quotient
2 3/8 / -2 1/2
Answer:
-19/20
Step-by-step explanation:
[tex]2 \frac{3}{8} \div - 2 \frac{1}{2} [/tex]
[tex] \frac{19}{8} \div - \frac{5}{2} [/tex]
Keep Change Flip
[tex] \frac{19}{8} \times - \frac{2}{5} [/tex]
[tex] - \frac{38}{40} = - \frac{19}{20} [/tex]
Question 1 (10 points)
A summary of selected ledger accounts appear below for S. Ball for the current calendar year.
Answer questions 1 through 4 based on this information.
S. Ball. Capital
S Ball. Withdrawals
12/31 6,500 1 1 27,000
331 2,000 1231 6.000
12 31 4.250
10/31 3,000
S. Bo
123
1.000
12 22
Income Summary
1231 12.750 1231 17,000
12 31 4.250
1. What was the total amount of withdrawals for the year?
A)$6500
B)$1000
C)"O$3000
D)$6000
Answer:
Question 1 10 / 10 points
A summary of selected ledger accounts appear below for S. Ball for the current calendar year.
Answer questions 1 through 4 based on this information.
1. What was the total amount of withdrawals for the year?
$6000
Question 2
2.What was the net income?
$4250
Question 3
3.What was the total revenue?
$17,000
4.What were the total expenses?
$12.750
5.
__2__
Unearned Revenue
__5__
Brandon Jones, Capital
__1__
Cash
__3__
Equipment
__4__
Mortgage
1.
Current Assets
2.
Current Liabilities
3.
Fixed Assets
4.
Long-term Liability
5.
Equity
Question 6
At the end of the closing process, Income Summary will hold a balance.
Question options:
b) False
Step-by-step explanation:
I just took this quiz and got a 100%
The total amount of withdrawals for the year is $7,250.
Explanation:The total amount of withdrawals for the year can be found by adding up the amounts in the S. Ball Withdrawals ledger account. Looking at the provided information, we can see that the withdrawals were as follows: $2,000 on 10/31, $4,250 on 12/31, and $1,000 on 12/22. Adding these amounts together, the total amount of withdrawals for the year is $7,250.
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ASAP PLEASE ANSWER THIS WILL GIVE BRAINLIEST
The rectangle shown has a perimeter of 86 cm and the given area. Its length is 7 more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle.

A= 306cm squared
A is the rectangle
Answer:
Therefore,
The Dimensions are,
[tex]Length = 34\ cm\\\\Width = 9\ cm[/tex]
Step-by-step explanation:
Given:
Perimeter of a rectangle,
Perimeter = 86 cm
let "x" be the width of rectangle,
Width = x
then according to the given condition,
length will be given as,
[tex]Length = 3x+7[/tex]
To Find:
Length =?
Width =?
Solution:
Perimeter of rectangle is given by,
[tex]\textrm{Perimeter of Rectangle}=2(Length+Width)[/tex]
Substituting the values we get
[tex]86=2(3x+7+x)\\\\86=2(4x+7).........Equation\\\\86=8x+14\\\\8x=86-14=72\\\\x=\dfrac{72}{8}=9\ cm[/tex]
Substituting "x" in Length we get
[tex]Length = 3\times 9 +7=34[/tex]
Also Area Of Rectangle is given by
[tex]\textrm{Areaof Rectangle}=(Length\times Width)=34\times 9=306\ cm^{2}[/tex]
Therefore,
The Dimensions are,
[tex]Length = 34\ cm\\\\Width = 9\ cm[/tex]
Final answer:
The dimensions of the rectangle with an area of 306 cm squared and a perimeter of 86 cm, where the length is 7 more than three times the width, are 9 cm by 34 cm.
Explanation:
To solve for the dimensions of the rectangle with an area of 306 cm squared and a perimeter of 86 cm, where the length (L) is 7 more than three times the width (W), we will set up a system of equations. First, express the given relationships:
Perimeter (P) = 2W + 2L = 86 cm
Area (A) = W * L = 306 cm squared
L = 3W + 7
Next, substitute the expression for L into the perimeter equation:
2W + 2(3W + 7) = 86
2W + 6W + 14 = 86
8W + 14 = 86
8W = 72
W = 9 cm
Now, plug the value of W back into the equation for L:
L = 3(9) + 7 = 34 cm
Thus, the dimensions of the rectangle are 9 cm by 34 cm.
Order the absolute values of the temperatures from least to greatest. -22, -6, 15, -13, 18
Answer:
6 13 15 18 22
Step-by-step explanation:
absolute value just makes it positive unless it is a negative absolute value-|n|
Which equation best represents the line of best fit for the scatterplot?
A) y = x + 6
B) y = 2x + 6
C) y = -x + 6
D) y = -2x + 6
Answer:
The answer for this problem is
C) y = -x + 6
Step-by-step explanation:
I know this because I just did the test
Omar has 8 cups of cornmeal how many batches of corn muffins can he make
How many cups in a batch of batter??
Answer:
16 corn muffins made.
Step-by-step explanation:
Since there is 8 cups of cornmeal, and corn muffins need 1/2 cornmeal per batch. We need to divide.
Equation: 8 divided by 1/2 = M
Then in order to divide fractions. We have to use the kcf.(Keep, change, flip)
8 is 8,(Keep) division turns into multiplication(change) and then 1/2 is 2/1 (flip).
Then multiply 8 x 2.(Since 2/1 is 2)
Your answer is 16!
The Pet-Agree Co. buys dog collars from a manufacturer for $1.19 each. Pet-Agree marks-up each collar 356% of cost. What is the amount of mark-up?
The amount of mark-up is $4.25
Step-by-step explanation:
To find the mark-up cost of each dog collar, increase $1.19 by 356 %
Lets take that 100% = $1.19
So the 356% =?
Perform cross-product as;
(356*1.19)/100 = $4.25
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Answer:
4.25
Step-by-step explanation:
I did the quiz
--- Find each missing length to the nearest tenth. ----
Answer:
the answer missing length is 7.6 and yes i rounded it to the nearest tenth.
Step-by-step explanation:
Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell.
98 small cups of lemonade and 57 large cups of lemonade were sold by Harold.
Step-by-step explanation:
Given,
Cost of small cup of lemonade = $1.25
Cost of large cup of lemonade = $2.50
Total cups sold = 155
Total worth of cups = $265
Let,
x be the number of small cups sold
y be the number of large cups sold
According to given statement;
x+y=155 Eqn 1
1.25x+2.50y=265 Eqn 2
Multiplying Eqn 1 by 1.25
[tex]1.25(x+y=155)\\1.25x+1.25y=193.75\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](1.25x+2.50y)-(1.25x+1.25y)=265-193.75\\1.25x+2.50y-1.25x-1.25y=71.25\\1.25y=71.25[/tex]
Dividing both sides by 1.25
[tex]\frac{1.25y}{1.25}=\frac{71.25}{1.25}\\y=57[/tex]
Putting y=57 in Eqn 1
[tex]x+57=155\\x=155-57\\x=98[/tex]
98 small cups of lemonade and 57 large cups of lemonade were sold by Harold.
Keywords: linear equation, elimination method
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Determine the following angle measures.
mZM=
mXL =
Angle measures are ∠M = 90° and ∠L = 24°
Step-by-step explanation:
Step 1: In the figure, LM is a tangent to the circle N at point M.Tangents create right angles at the point of contact with a circle.
So ∠M = 90°
Step 2: Sum of angles in a triangle is equal to 180°⇒ ∠L = 180° - (∠M + ∠N) = 180° - (90° + 66°)
= 180° - 156° = 24°
Answer:
m= 90 degrees and L= 24 degrees
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the red
graph?
HELP
Answer:
The Graph below have the same shape.Equation of the red graph
Step-by-step explanation:
The graph is shifted up 1 unit. That's equivalent to adding 1 to all points:
In other words:
G(x) = F(x) + 1
Plugging in F(x) = 3 - x^4:
G(x) = 3 - x^4 + 1
G(x) = 4 - x^4
Answer:
A. G(x) = 4 - x^4
Micah left for school with 4 boxes of pencils. Each box had 8 pencils.
At school, he gave away 4 pencils from one box.
Which number sentence below can be used to find the total number of pencils that Micah kept ?
A. 4×8-4=x
B. 3×8+4=x
C. 4×8+4=x
D. 3×8-4=x
Answer:
A
Step-by-step explanation:
4/5 divided by 1/4 as a mixed number
To divide 4/5 by 1/4, multiply by the reciprocal of the second fraction to get 16/5, which converts to the mixed number 3 1/5.
Explanation:Dividing Fractions and Conversion to Mixed NumberTo divide two fractions, you multiply the first fraction by the reciprocal of the second fraction. In the case of 4/5 divided by 1/4, you would flip 1/4 to get its reciprocal, which is 4/1, and then multiply it by 4/5.
Step-by-step:
Write the problem as 4/5 × 4/1.Multiply the numerators: 4 × 4 = 16.Multiply the denominators: 5 × 1 = 5.The result of the multiplication is 16/5.To convert to a mixed number, see how many times 5 goes into 16, which is 3 times with a remainder of 1.The mixed number is 3 1/5.Therefore, 4/5 divided by 1/4 as a mixed number is 3 1/5.
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48 guests are attending a super bowl party. Sixth-eighths of them attended the party last year. How many guests are attending the party for the first time?
Answer:
[tex]Guests\ attending\ the\ party\ first\ time=12[/tex]
Step-by-step explanation:
[tex]Total\ guests=48\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\ of\ total\ guests\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\ of\ 48\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\times 48\\\\Guests\ attended\ the\ party\ last\ year=6\times 6\\\\Guests\ attended\ the\ party\ last\ year=36\\\\Guests\ attending\ the\ party\ first\ time=Total\ guests-Guests\ attended\ the\ party\ last\ year\\\\Guests\ attending\ the\ party\ first\ time=48-36\\\\[/tex]
[tex]Guests\ attending\ the\ party\ first\ time=12[/tex]
What is the surface area of this triangular prism rounded to the nearest tenth?
A) 133.5 ft2
B) 145.3 ft2
C) 152.6 ft2
D) 163.7 ft2
Answer:
The surface area of the triangular prism is [tex]145.3[/tex] [tex]ft^2[/tex]
Step-by-step explanation:
Step 1: Finding the two area of two triangles
Area of the triangle = [tex]\frac{1}{2} (base \times height})[/tex]
Area of the triangle = [tex]\frac{1}{2} (9.8\times 5.33})[/tex]
Area of the triangle = 26.117
Area of 2 triangles = [tex]52.234[/tex]
Step 2: Finding the area of the side rectangles
Area of the rectangle = [tex]length \times breadth[/tex]
Area of the rectangle 1 = [tex]6.2 \times 3.8[/tex] = 23.56 [tex]ft^2[/tex]
Area of the rectangle 2 = [tex]8.5 \times 3.8[/tex] = 32.3 [tex]ft^2[/tex]
Area of the rectangle 3 = [tex]9.8 \times 3.8[/tex] = 37.24 [tex]ft^2[/tex]
Step 3: surface area of the triangular prism.
Surface area of the triangular prism = 52.234 + 23.56 + 32.3 + 37.24
Surface area of the triangular prism = 145.334 [tex]ft^2[/tex]
Answer:
B. 145.3 ft2
Step-by-step explanations:
A one-cup serving of orange juice Contains 4 mg less than four times the amount of vitamin C as a one cup serving of pineapple juice. Servings of two juices contain a total of 121 mg of vitamin C. How many milligrams of vitamin C are in a serving of each type of juice?
Answer:
The milligrams of vitamin C in a serving of orange juice is 96 and the milligrams of vitamin C in a serving of pineapple juice is 25
Step-by-step explanation:
Let
x ----> the milligrams of vitamin C in a serving of orange juice
y ----> the milligrams of vitamin C in a serving of pineapple juice
we know that
Servings of two juices contain a total of 121 mg of vitamin C
so
[tex]x+y=121[/tex] -----> equation A
A one-cup serving of orange juice contains 4 mg less than four times the amount of vitamin C as a one cup serving of pineapple juice
so
[tex]x=4y-4[/tex] ----> equation B
substitute equation B in equation A
[tex]4y-4+y=121[/tex]
solve for y
[tex]5y=121+4\\5y=125\\y=25\ mg[/tex]
Find the value of x
[tex]x=4(25)-4=96\ mg[/tex]
therefore
The milligrams of vitamin C in a serving of orange juice is 96 and the milligrams of vitamin C in a serving of pineapple juice is 25
What is the reciprocals of the fraction 37/74
Step-by-step explanation:
We have,
[tex]\dfrac{37}{74}[/tex]
To find, the reciprocals of the fraction [tex]\dfrac{37}{74}[/tex] = ?
∴ [tex]\dfrac{37}{74}[/tex]
Dividing numerator and denominator by 37, we get
= [tex]\dfrac{1}{2}[/tex]
= [tex]\dfrac{37}{74}[/tex] or, [tex]\dfrac{1}{2}[/tex]
We know that,
The reciprocals of the fraction [tex]\dfrac{x}{y} =\dfrac{y}{x}[/tex]
The reciprocals of the fraction [tex]\dfrac{37}{74}[/tex] = [tex]\dfrac{74}{37}[/tex] or [tex]\dfrac{2}{1}[/tex]
= [tex]\dfrac{74}{37}[/tex] or 2
Thus, the reciprocals of the fraction [tex]\dfrac{37}{74}[/tex] = [tex]\dfrac{74}{37}[/tex] or 2.
Why is 4r + 5 = 3 not an algebraic expression?
4r + 5 = 3 is not an algebraic expression because expressions are basically equations but WITHOUT answers. In this equation, 3 is shown as the answer, which makes it an equation, not an expression.
Hope this helps! Please correct me if I'm wrong! :D
4r + 5 = 3 is not an algebraic expression because it contains an equals sign making it an equation rather than an algebraic expression. Algebraic expressions are mathematical phrases lacking an equals sign.
Explanation:The equation 4r + 5 = 3 is not an algebraic expression because it is, in fact, an equation. The distinction between these two lies in the presence of the equals sign (=).
An algebraic expression is a mathematical phrase that can contain numbers, variables, and operators (like +, -, ×, ÷), but it does not have an equals sign. For example, 4r + 5 is an algebraic expression. However, when there is an equals sign present, as is the case in 4r + 5 = 3, the resulting mathematical phrase is an equation, which is a statement that two algebraic expressions are equal.
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