Answer:
A convenient formula to use is
S = ((1 + i)^n - 1) / i where S is the value of 1$ deposited for n periods at an interest rate of i
in this case n = 12 * 28 = 336 periods of deposit at an interest rate of
.0021 / 12 = .00175 = i
S = (1.00175^336 - 1) / .00175 = 456.8338 the value of 1$ after 336 periods
350 * 456.8338 = 159891.81 the value of 350 deposited monthly
Note that 350 * 336 would be 117,600
One must be careful to distinguish the above formula from
(1 - (1 + i)^-n) / i which gives the value of 1$ when the borrower is "paying" an interest rate of i - this would be the case for a mortgage - or what is the value of 1$ paid for n periods when paying an interest rate of i
Two factory plants are making tv panels yesterday plant A produced 3000 panels. Ten percent of the panels from plant A were defective and Three percent from plant B were defective. How many panels did plant be produce if the overall percentage of defective panels from the two plants was 6%. Thanks for the help
Answer: Plant B produced 4000 panels
Step-by-step explanation: Let the number of panels produced by plant A = a and the number of panels produced by plant B = x. In total, we have 3000 + x. Now for the defective panels. 10% of plant a + 3% of plant b = 6% of both a and b. 300 + 3/100(x) = 6/100(3000 + x). 300 + 0.03x = 180 + 0.06x. Now, we simplify. 300 - 180 = 0.06x = 0.03x. So, 120 = 0.03x and 40 = 1% of x. This means x = 4000. So, therefore, Plant B produced 4000 panels. We can check our work by using the value of x we got. 4000 + 3000 = 7000. 6% of 7000 = 420. 120 = 3% of 4000. 120 + 300 = 420 so the answer we got is correct. Hope this helped
Each outcome or a collections of outcomes in a experiment is called as?
Answer:
event
What is an event?
An event can be described as an individual or set of outcomes of an experiment.
Events are a subset of the experiment's sample space.
What is sample space?The sample space of an experiment is the complete set of possible outcomes of that experiment.
A project is expected to provide cash flows of and over the next four years , respectively . At a required return of 8.5 percent , the project has a profitability Index of .898 . For this to be true , what is the project's cost at Time ? \$12.150,\$12.600,\$15.700,; \$10.200
Project's cost at time 0 is $46,272.84
What is profitability index?
Profitability index is the present value of future cash flows divided by the project cost at time 0.
The present value of each future cash flow can be determined using the present value formula of a single cash flow as below;
PV=FV/(1+r)^N
FV=future cash inflows in years 1-4
r=discount rate=8.5%
N=the year of cash flows, 1 for year 1 , 2 for year 2, 3 for year 3 and 4 for year 4.
PV of future cash flows=$12,150/(1+8.5%)^1+$12,600/(1+8.5%)^2+$15,700/(1+8.5%)^3+$10,200/(1+8.5%)^4
PV of future cash flow=$41,553.01
Profitability index=PV of future cash flows/Project cost
Profitability index= .898
Project cost=unknown(assume it is X)
.898=$41,553.01 /X
X=$41,553.01/ .898
X=project's cost=$46,272.84
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need heeeelp please
Step-by-step explanation:
y = -f(x)
so, everything is mirrored around the x-axis.
what was below the x-axis, is now above the x-axis, what was above is now below. and what was on the x-axis, is still on the x-axis.
pick the corner points of f(x), their x-values stay the same, their y-values flip the sign. the points on the x-axis (y = 0) stay the same of course.
and then connect the points, so that the curve is upside-down to the original.
anna bought a sweater at 40% off the original price. if she paid $12 what was the original price of the sweater?
Answer:
The original price was $30
Step-by-step explanation:
40% = 40/100 = 0.4
[tex]\frac{12}{0.4} =30[/tex]
Hope this helps
A $8,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for the year is $405, then how much is invested in each account?
The amount invested in the first account is $1,500 and $6,500 was invested in the second account.
What is simple interest?
Simple interest is determined as the principal multiplied by the interest rate ,then multiplied by the duration of the investment.
The formula for simple interest on an investment is as shown below:
I=PRT
P=principal=$8,000
R=interest rates= 1% and 6%
T=duration of investment=1 year
Let assume that X was invested at 1% and that the remaining of $8000-X is invested at 6%.
Interest on the first account=X*1%*1
Interest on the first account=0.01X
Interest on second account=($8000-X)*6%*1
Interest on second account=480-0.06X
Total interest=0.01X+480-0.06X
Total interest=480-0.05X
Total interest=$405
405=480-0.05X
0.05X=480-405
0.05X=75
X=75/0.05
X=amount invested in the first account=$1,500
Amount invested in the second account=$8000-X
Amount invested in the second account=$8,000-$1,500
Amount invested in the second account=$6,500
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Which of the following tables represents a proportional relationship?
Input
Input Output
7
21
35
49
1357
Input Output
5
42
10
75
15
110
20
145
Input Output
18
46
74
102
26
10
14
Input Output
30
4567
37
44
51
Answer:
The top left answer is correct.
Step-by-step explanation:
If you take each ordered pair and put them in the form y/x. The top left corner is the only one where all of the equations are equivalent.
7/1 = 21/3 = 35/5 = 49/7
2. This month Tania saved
6 times as much money
as last month. Last
month she saved $24.
How much did Tania
save this month?
3.
Answer:
144
Step-by-step explanation:
24*6
Because this month she saved 6 times as MUCH money compared to last month
What is the length of each leg of the triangle below?
Answer:
C
Step-by-step explanation:
32/sqrt(2) = 32sqrt(2)/2 = 16sqrt2
Answer:
C.
Step-by-step explanation:
It is a right triangle with hypotenuse c = 12, also for having two equal angles is an isosceles triangle, the missing sides (catethus) are equal (a and b)
a = b = the legs
Apply the Pythagorean theorem
[tex]c^{2}=a^{2} +b^{2} \\c^{2} =2a^{2}[/tex]
[tex]a^{2} =\frac{c^{2} }{2}=\frac{(32)^{2} }{2} =512[/tex]
[tex]a=\sqrt{512} =\sqrt{256(2)} =16\sqrt{2}[/tex]
Hope this helps
Income Statements under Absorption Costing and Variable Costing
The demand for aloe vera hand lotion, one of numerous products manufactured by Smooth Skin Care Products Inc., has dropped sharply because of recent competition from a similar product. The company's chemists are currently completing tests of various new formulas, and it is anticipated that the manufacture of a superior product can be started on December 1, one month in the future. No changes will be needed in the present production facilities to manufacture the new product because only the mixture of the various materials will be changed.
The controller has been asked by the president of the company for advice on whether to continue production during November or to suspend the manufacture of aloe vera hand lotion until December 1. The controller has assembled the following pertinent data:
Smooth Skin Care Products Inc.
Income Statement—Aloe Vera Hand Lotion
For the Month Ended October 31
Sales (400,000 units) $32,000,000
Cost of goods sold 28,330,000
Gross profit $3,670,000
Selling and administrative expenses 4,270,000
Loss from operations $(600,000)
The production costs and selling and administrative expenses, based on production of 400,000 units in October, are as follows:
Direct materials $15 per unit
Direct labor 17 per unit
Variable manufacturing cost 35 per unit
Variable selling and administrative expenses 10 per unit
Fixed manufacturing cost $1,530,000 for October
Fixed selling and administrative expenses 270,000 for October
Sales for November are expected to drop about 20% below those of the preceding month. No significant changes are anticipated in the fixed costs or variable costs per unit. No extra costs will be incurred in discontinuing operations in the portion of the plant associated with aloe vera hand lotion. The inventory of aloe vera hand lotion at the beginning and end of November is expected to be inconsequential.
Required:
Question Content Area
1. Prepare an estimated income statement in absorption costing form for November for aloe vera hand lotion, assuming that production continues during the month.
Smooth Skin Care Products Inc.
Estimated Income Statement—Absorption Costing—Aloe Vera Hand Lotion
For the Month Ending November 30
Sales
$Sales
32,000,000
Cost of goods sold:
Direct materials
$Direct materials
Direct labor
Direct labor
- Select -
- Select -
- Select -
$- Select -
Selling and administrative expenses:
$- Select -
- Select -
blank
blank - Select -
$- Select -
Question Content Area
2. Prepare an estimated income statement in variable costing form for November for aloe vera hand lotion, assuming that production continues during the month.
Smooth Skin Care Products Inc.
Estimated Income Statement—Variable Costing—Aloe Vera Hand Lotion
For the Month Ending November 30
$- Select -
Variable cost of goods sold:
$- Select -
- Select -
- Select -
blank
blank - Select -
$- Select -
- Select -
$- Select -
Fixed costs:
$- Select -
- Select -
blank
blank - Select -
$- Select -
The estimated income statement for the month shows a loss of $840000.
How to illustrate the income statement?The estimated income statement for the month will be:
Sales = $25,600,000
Less: Cost of goods sold
Direct materials (320000 × 15) = $4,800,000
Direct labor (320000 × 17) = $5,440,000
Variable costing (320000 × 15) = $11,200,000
Fixed manufacturing cost = $1,530,000
Total cost of goods sold = $22970000
Gross profit = $25,600,000 - $22970000 = $2,630,000
Gross profit = $2,630,000
Less:
Variable selling and administrative expense = $3200000
Fixed selling and administrative = $270000
Loss from operations = $840000
Therefore, the estimated income statement for the month shows a loss of $840000.
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Using the standard form of the equation in question 1, what are the length of the radius and the coordinates of the center for this particular circle? Watch your signs for the variables h and k. 12pt
The coordinates of the center is at (1, 0) and the length of the radius is 4 units.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard form of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and r is the radius.
The coordinates of the center is at (1, 0) and the length of the radius is 4 units.
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A cone has a height of 10cm. The base radius is 2.5cm. Calculate the volume of the cone.
Answer:
65.41 u³Step-by-step explanation:
A cone has a height of 10cm. The base radius is 2.5cm. Calculate the volume of the cone.
The formula for the volume of a cone is ⅓ r²h cubic units, where r is the radius of the circular base and h is the height of the cone.
1/3π2.5²×10 =
1/3π6.25×10 =
1/3π62.5 =
1/3×196.25 =
196.25:3 =
65.41 u³
What is the mean of 13, 7, 8 and 4
Answer:
16
Step-by-step explanation:
Mean is same as average. To find the average, add all items and divide the sum by the number of items in the list.
Avg = (13 + 7 + 8 + 4) / 2 = 32 / 2 = 16
Hi there,
please see below for solution steps :
‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗
To find the mean you first need to add all numbers and divide by how many there are :
[tex]\sf{\dfrac{13+7+8+4}{4}}[/tex]
⨠ simplify
[tex]\sf{\dfrac{32}{4}}[/tex]
[tex]\boxed{\sf 8}[/tex] [tex]\tiny\pmb{\sf{Frozen \ melody}}[/tex]
‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗
Graph this system of inequalities. Identify the solution region on the graph.
y<-x+4, y>-x 2
The system of inequalities y < -x+4 and y >-x 2 do not have a solution
What are inequalities?Inequalities are expressions that have unequal values when compared or evaluated
How to determine the solution to the system?The system of inequalities is given as
y < -x+4
y >-x 2
Next, we plot the inequalities on a graphing tool
See attachment for the graph
From the attached graph, the lines of the inequalities do not intersect
This means that the system of inequalities do not have a solution
Hence, the system of inequalities y < -x+4 and y >-x 2 do not have a solution
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PQR has the vertical P(0,4), Q(4,5), and R(4,1). Determine if PQR is the right triangle.
Answer:
no
Step-by-step explanation:
no it is not a right triangle
two angles share the same x but no angles share the same y
you can see this clearly when graphed
the answer is no
A stamp collection consisting of 23 stamps includes 4¢ stamps and 9¢ stamps. The total value of the stamps is $1.27. Find the number of each type of stamp in the collection.
A simultaneous equation is a set of equations that has to be solved in relation to each other at the same time. Thus the required number of stamps are:
4¢ stamps = 16
5¢ stamps = 7
A simultaneous equation is a set of equations that has to be solved in relation to each other at the same time. This process is required so as to determine the values of two unknowns e.g x and y.
From the given question, let the number of 4¢ stamps be represented by n, and that of the 9¢ stamp be represented by m.
So that,
n + m = 23 ............ 1
But 100¢ = $1, so that;
4¢ = x
x = [tex]\frac{4}{100}[/tex]
= $0.04
also,
9¢ = x
x = [tex]\frac{9}{100}[/tex]
= $0.09
Thus, we have;
0.04n + 0.09m = 1.27 ......... 2
From equation 1, make n the subject of the formula, such that;
n = 23 - m ........... 3
Substitute equation 3 into equation 2
0.04(23 - m) + 0.09m = 1.27
0.92 - 0.04m + 0.09m = 1.27
collect like terms to have;
0.05m = 1.27 - 0.92
= 0.35
m = [tex]\frac{0.35}{0.05}[/tex]
m = 7
Now substitute the value of m into equation 3
n = 23 - m ........... 3
= 23 - 7
n = 16
Therefore the number of 4¢ stamps is 16, while that of the 5¢ stamps is 7.
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What is the answer?im having trouble
Answer:
130
Step-by-step explanation:
let the inside value be,x
x+30°+20°=180°(Being sum of interior angle of triangle)
or,x+50°=180°
or,x=180°-50°
or,x=130°
Now,
let the exterior angle be,a
a=x(VOA)
a=130°
Therefore the value of a is 130°.
m∠1 =
✔ 131
degrees
m∠2 =
✔ 49
degrees
m∠3 =
✔ 112
degrees
Answer:
what is the question show the pic
If m = 4 and n = -7, what is the value of m + n?
The answer is -3.
If m = 4 and n = -7, we can evaluate the expression by substitution.
m + n
4 + (-7)
-3
❄ H there,
evaluate this expression by substituting the provided parameters –
[tex]\sf{m+n} \ | \ m=4 \ \& \ n=-7 \ | 4+(-7)=4-7=-3}[/tex]
That's it!
❄
What are the leading coefficient and degree of the polynomial?
2+18u^4+9u-u^8
Leading coefficient:
Degree:
Answer:
-1 and degree 8
Step-by-step explanation:
the highest degree carry the leading coefficient, and the highest power take the highest degree
For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
Find the constant of variation when one exists and write it in simplest form.
The equation 15x + 5y = 0 is a direct variation and the constant of variation is -3 while the equation -5x + 8y = 3 is neither a direct variation nor an inverse variation
How to categorize the type of each equation?As a general rule, we have the following forms of equation:
Direct variation: y =kx
Inverse variation: y = k/x
Where k represents the constant of variation
The equations 15x + 5y = 0 can be rewritten as:
5y = -15x
Divide by 5
y = -3x
The above equation take the form y = kx
This means that k = -3
Hence, the equation 15x + 5y = 0 is a direct variation and the constant of variation is -3
However, the equation -5x + 8y = 3 do not take any of the given forms
Hence, the equation -5x + 8y = 3 is neither a direct variation nor an inverse variation
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Find the surface area of the figure. For calculations involving pi , give both the exact value and an approximation to the nearest hundredth of a unit. Let r=10 and h = 3.
Answer:
exact: SA = 260π in.²
approximate: SA = 816.81 in.²
Step-by-step explanation:
SA = 2πr² + 2πrh
r = 10 in.
h = 3 in.
SA = 2πr(r + h)
SA = 2π(10 in.)(10 in. + 3 in.)
SA = 260π in.²
SA = 816.81 in.²
For a segment of a radio show, a disc jockey can play 7 records. If there are 13 records to select from, in how many ways can the program for this segment be arranged?
The number of ways the program can be arranged for this segment is 8, 648, 640 ways
What is permutation?It is important to note that the formula for finding the permutation or arrangement of a set of dats is given as;
Permutation = [tex]\frac{n!}{(n-r)!}[/tex]
where
n = number to select from = 13r = number of objects selected = 7Let's substitute the values into the formula for permutation, we have
Permutation = [tex]\frac{13!}{13 - 7!}[/tex]
Find the difference of the denominator
Permutation = [tex]\frac{13!}{6!}[/tex]
Find the factorial of the values
Permutation = [tex]\frac{6,227,020,800}{720}[/tex]
Divide the numerator by the denominator
Permutation = 8, 648, 640 ways
Thus, the number of ways the program can be arranged for this segment is 8, 648, 640 ways
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(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
(5x – 3)(
x +
)
Answer:
(4x+5)
Step-by-step explanation:
4x(5x-3)+5(5x-3)
collecting like terms, first part is (5x-3) hence second part of the equation is (4x+5) from the equation above.
Answer:
Step-by-step explanation:
(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
(( (5x – 3)(4x +5) ))
Suppose follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of so that the following is true.
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
Answer:
c = 2.25
Step-by-step explanation:
The normal distribution function is symmetrical, so the area not in the central zone is split evenly between the lower and upper tails.
SolutionWe can find -c from ...
P(x < -c) = (1 - 0.9756)/2 . . . . . the area in the lower tail
The calculator tells us -c = -2.25.
c = 2.25
What is the measure of RCP?
Answer:
84
Step-by-step explanation:
15+15+27+27
At Indianapolis Motor Speedway, one lap is 2.5 miles in length. The average speed of an Indy racing car is 190 miles per hour.
15. Find the length of one lap in yards.
16. How many seconds would it take to complete one lap?
Answer:
15. 4400 yards
16. 47.4 seconds
Step-by-step explanation:
15. 1 mile = 1760 yards
2.5 miles:
2.5(1760) = 4400 yards
16. t = 2.5/190 = 0.013150 h
1 hour = (60)(60) = 3600 seconds
Then 1 lap take
=(0.013150)(3600) = 47.4 seconds
Hope this helps
One hundred dollars less
than twice last year's
income?
Answer:
2y - 100
Step-by-step explanation:
Last year's income = y
2y-100
Create a linear equation based on an experience in your everyday life. In this experience, a variable should depend on at least one other variable (the independent variable(s)). If your equation has 2 variables, graph it on the coordinate plane.
The equation that represent the total salary that I earn for working x hours in a week is y = 10x
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Let y represent the total salary earned by working x hours, hence, if I earn $10 per hour:
y = 10x
The equation that represent the total salary that I earn for working x hours in a week is y = 10x
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Find y'' y = 3 cot x/8
If y = 3 cot x/8, the double differentiation of y gives,
y'' = (3/32) (cosec x/8)(cot x/8)
Given value of y is,
y = 3 cot x/8
Differentiation of the above equation will give us the following,
y' = d(3 cot x/8) / dx
y' = 3d(cot x/8) / dx ........... (1)
Now, we know that the differentiation of cot x is -cosec²x
Therefore, d(cot x/8) / dx = -(cosec²x/8)/8
Thus, equation (1) transforms as follows,
y' = -3(cosec²x/8)/8
Taking differentiation of the above equation, we get,
y'' = -3d((cosec²x/8)/ 8dx
y'' = -6d(cosec x/8) / 8dx [Using chain rule] .......... (2)
As we know, the differentiation of cosec x is -(cosec x)(cot x),
d(cosec x/8) / dx = -(cosec x/8)(cot x/8) / 8 [Using chain rule]
Therefore, equation (2) can be written as,
y'' = -(-6(cosec x/8)(cot x/8) / (8×8)
∴ y '' = 3(cosec x/8)(cot x/8) / 32
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