The completion of the inventory table is as follows:
A = $48
B = $264
C = $420
D = $304.
What are the inventory methods?The above inventory table is completed using some of the inventory methods including:
FIFO (First-in, First-out) assumes that the physical flow of goods sold follows the chronological order of acquisition.
LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.
The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.
Specification Identification does not base allocating the costs of goods sold and ending inventory on any assumptions. Instead, it uses specific costs.
Inventory Table:Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 8 $6.00 $48 ($6 x 8)
Apri. 11 Purchases 24 $11.00 $264 ($11 x 24)
May 17 Purchases 30 $14.00 $420 ($14 x 30)
Dec. 5 Purchases 19 $16.00 $304 ($16 x 19)
Total 81 $1,036
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A road has a speed limit sign at the beginning that is noticed by 84 % of people. 95 % of people who didn't notice the sign speed on the road. Of those who notice the sign, 75 % follow the speed limit.
How many percent of people speeding on this road noticed the sign? In other words, how many people on this road speed on purpose. Give your answer in percentage.
The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given,
Percentage of people who notice the speed limit = 84%
The percentage of people who notice the sign and follow the speed limit is 75%.
Therefore, 84% - 75% = 9% are the percentage speeding and noticed.
Hence "The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%".
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Use I=PRT
p=12,000
r=4%
t=3year
find I
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$12000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (12000)(0.04)(3) \implies I = 1440[/tex]
A medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total, how many tongue depressors and Band-Aids are there?
The total number of tongue depressors and Band-Aids are 56 and 128 respectively.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that, a medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total,
Let the number of wrapped tongue depressors be w and that of Band-Aids be b,
Therefore,
w+b= 184
0.04w+0.08b = 12.48
w+2b = 312
On solving the equation, by elimination method, we get,
b = 128
Therefore, w+128 = 184
w = 56
Hence, the total number of tongue depressors and Band-Aids are 56 and 128 respectively.
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Find the volume of the rectangular prism.
8 m
8 m
8 m
Answer:
Step-by-step explanation:
I believe that the volume of the rectangular prism is 512.
Explanation: V = whl = 8 · 8 · 8 = 512
V=Volume
W= Width
H= Height
L= Length
Type in only your numerical answer to the given problem if G(x)=x^2-5, then g(3)=?
Andrew solved the following inequality, and his work is shown below:
−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≤ 9
What mistake did Andrew make in solving the inequality?
Answer:
Andrew failed to change the direction of the inequality
Step-by-step explanation:
You want to know the mistake in Anderw's work solving the inequality ...
−4(x + 8) + 25 ≤ −2 + 1(x − 50)
Solution−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≥ 9
Andrew's mistake was failing to reverse the inequality symbol when dividing by a negative number (-5) at the last step.
__
Additional comment
The last steps of the solution could be written ...
-5x ≤ -45
45 ≤ 5x . . . . . . . add 5x+45 to both sides
9 ≤ x . . . . . . . . . divide by 5 (no reversal of ≤ is needed)
Pls help me, giving brainliest 50 POINTS!
Pls show your work and not only your answers pls
If the sales tax rate is 5% in Texas, then how much sales tax would you pay in Houston for a $52 bag of dog food?
Please answer quickly!
Thank you ^^
The cost of the sales tax in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sales tax percentage in Texas = 5 %
= 5 / 100
= 0.05
The cost of 1 bag of dog food in Houston = $ 52
Now ,
The sales tax cost is calculated by the equation ,
The sales tax cost =
Sales tax percentage in Texas x cost of 1 bag of dog food in Houston
The sales tax cost = $ 52 x 0.05
= $ 2.60
And , the total cost of 1 bag of dog food = cost of 1 bag of dog food in Houston + sales tax cost
Total cost of 1 bag of dog food = $ 52 + $ 2.60
= $ 54.60
Therefore , the sales tax cost is $ 2.60
Hence , the sales tax cost to pay in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60
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Sam is driving on the highway. He begins the trip with 12 gallons of gas in his car. The car uses up one gallon of gas every 35 miles.
Let G represent the number of gallons of gas he has left in his tank, and let D represent the total distance (in miles) he has
traveled. Write an equation relating G to D, and then graph your equation using the axes below.
equation and graph attached
Part A: Use the Pythagorean Theorem to derive the standard equation of the circle, with center at (a, b) and a point on the circle at (x, y). Show all necessary math work.
Part B: If (a, b) = (5, –2) and c = 10, determine the domain and range of the circle.
Part C: Is the point (10, 2) inside the border of the circle if (a, b) = (5, –2) and c = 10? Explain using mathematical evidence.
The distance to the point is less than c=10, so the point is inside the circle.
Given that, (a, b) = (5, –2) and c = 10.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
Part A:
Use of the Pythagorean theorem gets you to the equation for a circle in essentially one step:
Sum of squares of sides = square of hypotenuse
(x -a)²+(y -b)² = c² circle centered on (a, b) with radius c.
Part B:
The circle will be defined for values of x in the domain f ± c, and for values of y in the range b ± c.
domain: 5 ± 10 = [5, -5]
Range: -2 ±10 = [8, -11]
Part C:
The distance from point (10, 2) to (a, b)=(5, -2) is
c² = (10-5)² +(-2-2)²
c² = 25+16
c² = 41
c=√41
c=6.4
The distance to the point is less than c=10, so the point is inside the circle.
Therefore, the distance to the point is less than c=10, so the point is inside the circle.
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Question content area top
Part 1
A new bank customer with $ wants to open a money market account. The bank is offering a simple interest rate of %.
a. How much interest will the customer earn in years?
Find the missing number in the following puzzle.
Given the polynomial f(x) = 2x3 + 7x2 + x − 10, which of the following is true?
a (x + 2) is a factor since f(2) = 0.
b (x − 2) is a factor since f(2) = 0.
c (x + 2) is a factor since f(−2) = 0.
d (x − 2) is a factor since f(−2) = 0.
Answer:
Step-by-step explanation:
Given:
2[tex]x^{3}[/tex]+7[tex]x^{2}[/tex]+x-10
factor it
I used MatLab roots(x) to find these so I kinda cheated :P
-2.5, -2 , 1
so we know -2 is a factor and, then
x+2=0 is a factor
so the "x+2" answer C)
Maria deposits $1,400 into the Park Avenue Bank. The account pays 2.5% annual interest compounded semi-annually. What is her ending balance after 3
years? Round to the nearest cent (2 digits after the decimal point).
The ending balance is
The ending balance after 3 years is $1508.34
What is compound interest?
The interest that is paid on both the initial principal and the accumulated past interest is known as compound interest.
The compound amount and compound interest are calculated by:
Compound amount, [tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Compound interest, [tex]I = A - P[/tex]
where, P is the principal amount
r is the rate of interest(in decimal)
n is the number of times the interest is compounded annually
t is the time.
Given, Principal amount, P = $1400
rate of interest, r = 2.5% = 0.025
n = 2 (compounded semi-annually)
t = 3 years
Then, the compound amount is calculated by:
[tex]A=1400(1+\frac{0.025}{2} )^{2*3}\\[/tex]
or, [tex]A=1400(1+0.0125 )^{6}\\[/tex]
or, [tex]A=1400(1.0125 )^{6}\\[/tex]
or, [tex]A=1508.34[/tex]
Therefore, the ending balance is $1508.34
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Between which two consecutive integers is [tex]\sqrt{201}[/tex]
Answer:
14 and 15
Step-by-step explanation:
[tex]196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15[/tex]
Please Help 2
If a runner traveled a distance of d(h)=/16h4 in time t(h) = 3h4 - 3h3 -5h2 what is the runner's speed?
The runner's speed If a runner traveled a distance of d(h)=/16h4 in time t(h) = 3h^4 - 3h^3 -5h^2 is 4 /3h^2 - 3h -5h.
How can the speed be calculated?The concept that will be used to calculate this is the concept of speed which is the ratio of the distance per time which can be expressed as
speed = distance/time
Then we were given distance as d(h)=/16h^4
time as t(h) = 3h^4 - 3h^3 -5h^2
Speed = [tex]\sqrt{16h^4} /3h^4 - 3h^3 -5h^2[/tex]
Then we will have 4h^2 /3h^4 - 3h^3 -5h^2
then take h^2 from both the numerator and denominator and then cancel them , then we will have
= 4 /3h^2 - 3h -5h.
Therefore, the first option is correct.
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litterly help asap
The retail price of a golf club is $342. If the golf store has marked up the price by $42, what is the markup rate?
A golf club costs $342 at retail. The markup rate is 71.4% if the golf store has increased the price by $42.
What is meant by markup rate?The markup percentage is the difference between what an item costs the seller and what the customer pays. The greater the markup, expressed as a percentage of the cost, the greater the profit. While there is no "ideal" markup percentage, most businesses set it at 50%. A 50 percent markup, also known as a "keystone," means you are charging a price that is 50% higher than the cost of the good or service. Both terms are used to help determine profitability, but they are not the same! The markup is the percentage difference between a product's selling price and its cost.Given,
The difference in prices is $342 - $42 = $300
So, we need to find what percentage of 42 is 300
We do this by dividing: 300/42 = 7.14
which is 71.4 %.
So, the markup is 71.4 %.
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Find the solution set of 12x-31 + 1 = 6.
x = 1 or x=-1
x = 4 or x = -1
x = 5 orx = -2
x=4 or x = -4
Kurt spen $96.39 over 4(1)/(4) months on movie streaming services. If he spent the same amount of money each month, how much money in dollars, did Kurt spend per month on movie streaming services?
Kurt spent a total amount of $22.68 a month on movie streaming services.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, or operations such as multiplication and division.
These operations are used from the unit rates, as when we have an amount over some time, then the amount per unit of time is the total amount divided by the total time.
We have been given the important parameters are;
The total amount = is $96.39.
The time is a mixed number, 4 and 1/4 months, hence it will be 4.25 months,
Therefore, his monthly spending is given by the unit rate as;
96.39/4.25 = $22.68 a month.
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The Americans with Disabilities Act (ADA) gives businesses and cities requirements, rules, for making sure that people in wheelchairs and scooters can use slopes. The ADA requires a 1:12 slope for wheelchairs and scooters. (This means that for every one unit of vertical distance, the ramp must have 12 units of horizontal distance.) Mrs. Giles has a small business. She wants to make sure she builds the entrance to her building correctly. The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store. According to the ADA rules, how long (horizontal distance) does the ramp need to be, in feet?
The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.
What is ratio?Comparing one quantity to another is what it is. For instance, the weight ratio is 1:3 if you weigh 30 kg and your father weighs 90 kg.
Given:
The ratio of vertical and horizontal distance = 1:12,
The vertical distance of Mrs. Giles's business = 28 inches,
If for every one unit of vertical distance, the ramp must have 12 units of horizontal distance, so or 28 inches vertical distance the horizontal distance would be = 28 × 12 = 336 inches,
([tex]1 feet = 12inches[/tex])
= 336 / 12 = 28 feet
Therefore, The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.
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Simone and Harper go canoeing. Simone sees 12 storks. Simone seeks 4 times as many storks as harper. How many storks does Harper see?
Answer:48
Step-by-step explanation:12x4=48
If T is the midpoint of RS and V lies between R and T, which statement must be true?
The statement which must be true given the premise that; T is the midpoint of RS and V lies between R and T is; Choice A; RV + VT = TS.
Which answer choice represents a true statement?It follows from the task content that the answer choice which represents a true statement regarding the given description be identified.
Since it is given that T is the midpoint of RS, it follows that;
RT = TS.
Also, it is given that point V lies between R and T; it therefore obviously follows that the equation which is true about RV and VT is;
RV + VT = RT.
Therefore, since segments RT and TS are equal;
It follows from the substitution property of equality that;
RV + VT = TS.
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What are the factors of 4x2 - 4x - 15?
Select TWO correct answers.
2x-5
4x + 5
2x + 3
2x-3
x-3
2x + 5
2x+3 x-3 those are correct
A Not secure admin248 acellus.com/StudentFunctions/interface/acell
Parallel Lines
Inear Functions and Systems
A line is parallel to y = -2x - 3 and
intersects the point (5, 4). What is
the equation of this parallel line?
Start by entering this into point-slope form.
y -4 = -2(x-[?])
Solve the inequality and enter your solution as an inequality comparing the
variable to the solution.
-18+x< 16
Answer here
Solution of the given inequality -18 + x < 16 is equal to x < 34.
As given in the question,
Given inequality is equal to :
-18 + x < 16
Get the value of the variable x by adding 18 both the side of the inequality we get,
-18 + x + 18 < 16 + 18
Collect all like terms together we get,
⇒ x + (-18 + 18 ) < 34
⇒ x + 0 < 34
Solution of the inequality -18 + x < 16 is given by
⇒ x < 34
For the given inequality -18 + x < 16 the value of variable x is less than 34.
Therefore, solution of the given inequality -18 + x < 16 is x < 34.
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Please help I'm currently very desperate.
A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a reflection across the line x = -3 followed by a reflection across the line y = x.
What is the explanation of the above transformation?Given that both triangles are congruent, we can infer or deduce that there were no dilations or contractions. Hence, since we are moving in a clockwise direction, we can submit that this was not a rotation but a reflection.
Hence the first sequence of reflection was such that:
∆ABC reflects onto ∆A′B′C′ across the line x = -3; followed by
a reflection across the line y = x.
Note that in geometry, reflection refers to the mirror image of an image. The line through which an image reflects is called the line of reflection.
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Helppp it’s due tomorrow…
Estimate 6769 x 925 by first rounding each number so that it has only 1 nonzero digit.
The resulting value of the the expression 6769 x 925 by first rounding each number so that it has only 1 nonzero digit is 63,000
Round off
Round off refers a number is made simpler by keeping its value intact but closer to the next number. And it is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
Given,
Here we need to estimate 6769 x 925 by first rounding each number so that it has only 1 nonzero digit.
Here we have to take individual terms to round off then we get,
By rounding 6799 so that it has only one non-zero digit is rounding it to nearest thousand.
6769 rounds to nearest thousand as 7000 as hundreds digit 7 > 5.
Similarly, by rounding 925 so that it has only one non-zero digit is rounding it to nearest hundred.
925 rounds to nearest hundred as 900 as tens digit 2 < 5.
Now, the estimated value after rounding each number so that it has only one non-zero digit is
=> 7000 x 900
=> 63000.
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What value is equivalent to (8+2) + (6 − 4) × 3?
Answer:
16
Step-by-step explanation:
(8+2) + (6 − 4) × 3
= 10+6
=16
X+6=3x we just learned how to do this math today I need help
Answer:
x=3
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
First, you need to subtract x and x by itself, and do the same with the 3x. Your equation should now look like 6 = 2x. Now, divide each side of the equation with 2, and now your equation should look like 3 = x!
-----------------------
So, to double check, replace the x's with 3. The equation should be 3 + 6 = 3(3). If you do the math, it equals 9 = 9!
