Answer:
$7000
Step-by-step explanation:
1. Approach
To solve this problem, one must first find the amount of interest paid in (1) year, then set up a proportion to find out the amount of money that was taken out in the loan. It is given that the interest rate is (4%), and the interest paid after (3) years is ($840).
2.Find the amount paid in 1 year
First, one must find the interest paid in (1) year, this can be done by dividing the interest paid in (3) years by (3).
840 ÷ 3 = 280
3.Find the original amount in the loan
Now set up the proportion, remember, the general format for a proportion is the following,
[tex]\frac{part}{whole}=\frac{percent}{100}[/tex]
Substitute in the given parameters,
[tex]\frac{intereset}{loan}=\frac{rate}{100}[/tex]
Substitute in the values of the parameters,
[tex]\frac{280}{loan}=\frac{4}{100}[/tex]
Cross products,
[tex]28000=4(loan)[/tex]
Inverse operations,
[tex]7000=loan[/tex]
Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as high-grade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high-grade pairs of shoes per day. Suppose the operation makes a profit of Birr 2.00 per a pair of shoes on high-grade shoes and Birr 1.00 per pairs of shoes on low-grade shoes. How many pairs of shoes of each type should be produced for maximum profit? Hint: Let x denote the number of high-grade shoes. Let y denote the number of low-grade shoes.
but can you make it clear more please
The total number of pairs of shoes produced should be 500 (the maximum possible production). The profit per day should be maximized, so we need to solve the following system of equations:
2x + 1y ≥ 100 (the number of high-grade shoes should be at least 100)
x + y = 500 (the total number of pairs of shoes produced should be 500)
Solving for x and y, we get:
x = 400 (high-grade shoes)
y = 100 (low-grade shoes)
Therefore, the factory should produce 400 pairs of high-grade shoes and 100 pairs of low-grade shoes for maximum profit.
How to optimize a factory’s production process to maximize profit?To optimize a factory's production process to maximize profit, the factory should focus on increasing efficiency and reducing costs. This can be done by streamlining processes, automating tasks, and utilizing data-driven decision making. Additionally, the factory should focus on reducing waste, lowering overhead costs, and developing cost-saving strategies. Finally, the factory should focus on finding new markets and expanding its customer base to increase revenue.
How to calculate the break-even point for a factory?The break-even point for a factory is the point where total revenue equals total costs. This can be calculated by subtracting the total variable costs (costs that change with production, such as raw materials and labor) from the total fixed costs (costs that are not affected by production, such as rent, insurance, and equipment). The difference is the break-even point, which is the total revenue needed to cover all costs and generate a profit.
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The number of left-handed people in the world is one-tenth the number of right-handed people. The percent of right-handed people is nine times the percent of left-handed people and ambidextrous people combined. What percent of people are ambidextrous
According to question we can say that 1% percent of people are ambidextrous.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Let 'x' represent the percentage of left-handed people.
Let y represent the percentage of right-handed people.
Let z represent the percentage of ambidextrous people.
x = y/100
100x = y
y/100 = 9( x/100 + z/100)
y = 9x + 9Z
10x = 9x + 9z
x = 9z
x+y+z = 100
11x + x/9 = 100
100x/9 = 100
x = 9
z = 1%
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The number 1341 can be written as the sum of three consecutive positive integers. What is the largest of these integers
x = 448, which is the greatest of these integers.
What are integers ?Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers.
All whole numbers and negative numbers are considered integers.
This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.
According to our question-
added together =1341
x + x-1 + x-2 =1341
3x-3 = 1341
3x = 1344
x = 448
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How many 1/3 ounce cups can be taken from a 30 ounce box of cereal?
Answer:
90 cups
Step-by-step explanation:
Number of cups needed = 30 / (1/3) cups
= 90 cups
Thought process:
1 cup -> 1/3 ounce
3 cups -> 1 ounce
? cups -> 30 ounce
Hence, ? = 30 x 3
= 90
6. A train travels 283. 8km in 4. 4 hours; how far does it travel in
(a) 1 hour
(b) 2. 5 hour
If a train travels 283. 8km in 4. 4 hours, the train travels 71km in 1 hour and the train travels 114.5km in 2.5 hours.
Based on the assumption that the train is traveling at a constant speed throughout its journey.
To find the speed the train travels , we divide the total distance by the total time:
speed = 283.8km/ 4.4 hours
speed = 64.5 km/h
To find the distance the train travels , we multiply the speed of the train by the total time:
Distance travelled in 1 hour = 64.5 km/ hour × 1 hour
Distance travelled in 1 hour = 64.5 km
Distance travelled in 2.5 hours = 64.5 km/hour x 2.5 hours
Distance travelled in 2.5 hours = 161.25km
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Round your answer to the nearest hundredth.
B
?
65
А
7.
How do you explain 2 3?
This is a coordinate pair of a point. 2 and 3 denotes X and Y coordinate respectively.
What is coordinate system?The system that is used to represent the location of points in the space is termed as coordinate system. There are two types of coordinate system such as polar and cartesian. In case system there are two reference axes which are perpendicular to each other.
In the cartesian system points are represented with respect to a vertical axis named Y axis and a horizontal axis named X axis.
How do we explain 2 3?We stated earlier that in the cartesian system a location of a point is identified by a pair of numerical terms.
So, 2, 3 indicates a pair of numerical terms. 2 denotes the X coordinate of the point and 3 denotes the Y coordinate of that point.
In the next, the distance of the point from X axis is 3 unit and distance from Y axis is 2 unit.
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Complete question is: In the point (2,3) which point denotes the y-coordinate.
Use the Pythagorean theorem to find the length of the line
Answer:
This is one of my specialties so sit back, relax while I work on this for 5 mins :)
Step-by-step explanation:
The formula is a^2 + B^2 = c^2
Sooo
7^2 + 5^2 = c^2
49 + 25 = 74
√74 = √c^2
8.60232526 = c
8.60232526 rounded to the nearest tenth is 8.6
So there you go. Hope it helps!!
Don’t know need help
Answer:
37?
I am SO sorry if this is wrong
Geometry - Should be pretty easy
Answer:
DQR
Step-by-step explanation:
DEF is complentary to DQR
Answer:
∆DQR
Step-by-step explanation:
You want the similarity statement if the triangles shown are similar.
SimilarityTriangles will be similar if they have congruent corresponding angles, or proportional corresponding sides.
No angles are shown in the figure, but side lengths are given.
We expect that if the triangles are similar that the corresponding sides will be ...
DE ⇔ DQEF ⇔ QRFD ⇔ RDProportionThe attached calculator display shows the ratios of these side lengths are the same: 14/3. That means ...
∆DEF ~ ∆DQR
<95141404393>
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television
The brand-name television's measurements are 32 inches by 64 inches, so answer (C) is accurate.
How to find the television's measurements Calculation?Given: The generic version was created based on the brand name and was three eighths the size of the brand name.
12 inches by 24 inches is the size of the standard television set.
Allowing for x by y as the brand name's measurements
12 inches divided by three eighths
8/3 x = 12
x = 12 * 8 / 3 = 32 inch
and y=3/8 inches equals 24 inches
8/3 y = 24
y = 24 * 8 / 3 = 64 inch
As a result, the brand-name television has the following measurements: 32 by 64 inches.
Therefore, choice (C) is the appropriate response.
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The complete question is: Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?
a) 7.5 inches by 15 inches
b) 28 inches by 56 inches
c) 32 inches by 64 inches
d) 4.5 inches by 9 inches
1 point
Find the length/distance between points (1,3) and (3,15).
Answer:
12.165525 is the answer
Point E is located at -12 on the number line.Point F is located at point 9 on the number line. What is the distance between Point F on the number line?
Answer:
21 points
Step-by-step explanation:
Point E is located at -12 that is 12 points less than zero. And Point F is located at point 9 which means that is 9 points after zero.
So the total distance will be 12+9= 21 points between the two locations Point E and Point F.
We add the total difference from the point zero to get the total distance between the two points.
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
( 8 + 27) + 52 and 8 + (27 + 52)
Which one is correct
yes, it uses the Commutative Property
yes, it uses the Identity Property
yes, it uses the Associative Property
no they are not equivalent
Answer:
yes, it uses the Associative Property
Step-by-step explanation:
The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.
What is the solution of the equation x 3y 6 and 2x 3y 12?
The solution of the equation is x = 6, y = 0.
1. Subtract the two equations:
x3y6 - 2x3y12 = 0
2. Simplify both sides of the equation:
x3y - 2x3y = 0
3. Simplify further calculations:
x3(y - 2y) = 0
4. Factorize the expression:
x(y - 2y) = 0
5. Solve for x:
x = 0
6. Substitute x = 0 into either equation:
3y = 6
7. Solve for y:
y = 2
8. Substitute y = 2 into either equation given above:
x = 6
The solution of the equation is x = 6, y = 2.
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help is very much needed
Answer:
-972
Step-by-step explanation:
The next number in the sequence would be the previous number multiplied by 3.
-4*3 = -12
-12*3 = -36
-36*3 = -108
-108*3 = -324
-324*3= -972
Hope this helps! :)
find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 3
The Volume of largest Right Circular Cylinder that can be inscribed in Sphere of radius 3 cm is 65.3 cm³ .
Let the half height of of the cylinder be = h ;
we use h instead of [tex]\frac{h}{2}[/tex] for easier simplification ,
In order to find the Volume of cylinder , we multiply the area of top with the total height of cylinder .
So , Volume = [tex]\pi \times (Radius Of Cylinder)^{2}\times (Height Of Cylinder)[/tex]
Volume = [tex]\pi \times (\sqrt{r^{2} -h^{2} } )^{2}\times (2h)[/tex];
Volume [tex]= 2\pi h(r^{2} -h^{2} )[/tex]
Now , we need the derivative of volume function and equate to 0. If we move the h inside parenthesis, we only need to use power rule to get derivative.
So , we get , V = [tex]2\pi (r^{2} h-h^{3} )[/tex] ,
On simplifying further ,
we have ,
Volume of Largest Right Circular Cylinder ⇒ [tex]\frac{4\sqrt{3} \pi r^{3} }{9}[/tex] ;
it is given that radius of sphere is = 3 cm ,
Substituting value of radius in Volume formula ,
we get ,
V = [tex]\frac{4\sqrt{3} \times 3.14\times 3^{3} }{9}[/tex] ;
V = 65.2636 cm³
V ≈ 65.3 cm³.
Therefore , the volume of the largest right circular cylinder is 65.3 cm³.
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Please help asap people kept giving me wrong answers. Due tonight in a couple hours +25pts
ES = ___ units
Round your answer to the nearest tenth.
The value of ES will be;
⇒ ES = 10.63 units
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate of E = (- 3, - 4)
The coordinate of S = (4, 4)
Now,
Since, The coordinate of E = (- 3, - 4)
The coordinate of S = (4, 4)
Hence, The value of ES is find as;
⇒ ES = √ (4 - (-3))² + (4 - (-4))²
= √ 7² + 8²
= √ 49 + 64
= √ 113
= 10.63
Thus, The value of ES = 10.63 units
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Check all the equations that apply to meet the Segment Addition Postulate in segment PB. PO=7x+6, OB=3x+6 and PB=38 select all that apply
7x-26=-3x
7x+6-3x-6=38
10x+12=38
10x=50
38+3x+6=7x+6
10x=26
you get 100 pts if you answer so pls help me :c
Answer:
these two apply:
10x + 12 = 38 and
10x = 26
Step-by-step explanation:
7x+6+3x+6 = 38
10x + 12 = 38
10x = 26
x = 2.6
When two lines make an angle of 90 degree is known as?
When the two lines makes angle of 90 degree , then the lines are known as Perpendicular Lines .
What are Perpendicular Lines ?
Two lines are said to be perpendicular to each other if the straight line makes an angle of 90 degree with another line. 90 degree is also called a Right Angle and is represented by a little square between two perpendicular lines .
when the two lines intersect at a right angle, they are said to be perpendicular to each other.
For Example : In a football field all the four corners of a football field are perpendicular to each other.
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What is the opposite 27?
The opposite of number 27 is -27
We know that the opposite of a number is nothing but the number which is at the same distance from 0 but in the opposite direction on a number line.
Here we have been givena number 27
Let a number 'p' be the opposite of number 27
If we plot 27 on the number line then we can observe that it is located to the right of 0 on the number line.
So, from the definition of opposite of a number p would be at the same distance from 0 i.e., 27 units but in the opposite direction on a number line.
so, the number p would be -27
Therefore, -27 is opposite of 27
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A base of 4 inches , height of 8 inches , the volume is 112 , Whts the length of the entire figure ?
Answer:
3.5
Step-by-step explanation:
To find a variable in volume with 2 lengths and the total, you divide the volume by the 2 lengths.
4x8=32
112/32=3.5
DOUBLE CHECK:
3.5x4=14
14x8=112
---
hope it helps
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
B
Step-by-step explanation:
c=a^2+b^2=9^2+40^2=41
I need help with this. It’s for geometry!
Step-by-step explanation:
Find angle W first:
37 + 93 + W = 180 ---> W = 50°
Use sine law to find the length w:
w/(sin 50) = 31/(sin 37)
w = 31(sin 50/sin 37)
= 39.5
image below if ur able to answer it u r a math god
Answer:
B 20 is the Q2 of the set shown above
Answer:
thx
Step-by-step explanation:
David wants to purchase a new fish tank. His current tank is 36 in. long, 12 in. wide, and 18 in. high. His new tank
will be 4 inches longer, 3 inches wider, and 6 inches higher. What will be the volume of his new tank?
Answer:
It should be 14400 square inches. Sorry if i'm wrong
Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges $39 for the initial consultation and then $42 per session. For another plan, he charges $54 for the consultation and $39 per session. Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Answer:
5
Step-by-step explanation:
I just did it
The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m
Answer:
all this for five points, you're not serious
during a lunch seminar chocolate caramel and strawberry toppings were available how many two-topping
There are 3 two topping sundaes possible.
How many two toppings are possible?It is not crucial to choose the toppings in any particular sequence. For instance, a caramel and strawberry topping is the same as a chocolate and caramel topping. To answer this question, we thus apply the combinations formula.
Mixtures Formula:
C,n,x is the amount of various ways there are to combine x items from a set of n components, as determined by the formula below.
Cn,x = n! / x!(n-x)!
sundaes with two toppings are possible
2 of a set of 3 toppings (chocolate, caramel and strawberry). So
C3,2 = 3! / 2! (3 - 2)! = 3.
Three two-topping sundae combinations are conceivable.
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Find the area of the following
parallelogram:
3 cm
5 cm
4.5 cm
A= [?] cm
Enter the exact answer as a decimal.
Answer:
The answer is 13.5
Step-by-step explanation: