Answer:
To solve 5(98) =___(100-2) using the distributive property, we can distribute the 5 to both the 100 and the -2:
5(98) = 5(100 - 2)
Now, we can use the distributive property to simplify the right side:
5(98) = 5(100) - 5(2)
Multiplying, we get:
490 = 500 - 10
Simplifying further, we get:
490 = 490
Therefore, the equation is true, and we have verified the distributive property.
Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five-year period. His annual pay raises are determined by his division’s return on investment (ROI), which has exceeded 22% each of the last three years. He has computed the cost and revenue estimates for each product as follows:
Product A Product B
Initial investment:
Cost of equipment (zero salvage value) $ 340,000 $ 540,000
Annual revenues and costs:
Sales revenues $ 380,000 $ 460,000
Variable expenses $ 170,000 $ 206,000
Depreciation expense $ 68,000 $ 108,000
Fixed out-of-pocket operating costs $ 86,000 $ 66,000
The company’s discount rate is 20%.
Required:
1. Calculate the payback period for each product.
2. Calculate the net present value for each product.
3. Calculate the internal rate of return for each product.
4. Calculate the profitability index for each product.
5. Calculate the simple rate of return for each product.
6a. For each measure, identify whether Product A or Product B is preferred.
6b. Based on the simple rate of return, which of the two products should Lou’s division accept?
The payback period for Product A is 2.21 years and the payback period for Product B is 1.85 years, NPV of A = $21,215 and NPV of B = -$50,256. Product A: IRR = 28.28%, Product B: IRR = 29.58%, A: PI = 1.00, B: PI = 0.91, A: SRR = 0.49 or 49%, B: SRR = 0.44 or 44%.
What is payback period?Payback period is a financial metric used to evaluate the time required to recover the initial investment made in a project or investment opportunity.
According to given information:To calculate the payback period, we need to find out how long it takes for the initial investment to be recovered by the annual cash inflows. We calculate the cumulative cash inflows for each year and determine in which year the cumulative cash inflows exceed the initial investment.
Product A:
Year 1: $380,000 - $170,000 - $68,000 - $86,000 = $56,000
Year 2: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $56,000 = $112,000
Year 3: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $112,000 = $168,000
Year 4: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $168,000 = $224,000
Year 5: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $224,000 = $280,000
The payback period for Product A is 2.21 years (rounded to two decimal places).
Product B:
Year 1: $460,000 - $206,000 - $108,000 - $66,000 = $80,000
Year 2: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $80,000 = $160,000
Year 3: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $160,000 = $240,000
Year 4: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $240,000 = $320,000
Year 5: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $320,000 = $400,000
The payback period for Product B is 1.85 years (rounded to two decimal places).
To calculate the net present value (NPV), we need to discount the cash inflows and outflows using the company’s discount rate of 20% and then subtract the initial investment.
Product A:
[tex]NPV = -$340,000 + ($56,000/(1+0.20)^1) + ($112,000/(1+0.20)^2) + ($168,000/(1+0.20)^3) + ($224,000/(1+0.20)^4) + ($280,000/(1+0.20)^5)[/tex]
NPV = -$340,000 + $38,611 + $64,357 + $79,396 + $81,193 + $77,658
NPV = $21,215
Product B:
[tex]NPV = -$540,000 + ($80,000/(1+0.20)^1) + ($160,000/(1+0.20)^2) + ($240,000/(1+0.20)^3) + ($320,000/(1+0.20)^4) + ($400,000/(1+0.20)^5)[/tex]
NPV = -$540,000 + $66,667 + $111,111 + $114,882 + $99,425 + $97,659
NPV = -$50,256
To calculate the internal rate of return (IRR), we need to find the discount rate that makes the NPV of the cash inflows and outflows equal to zero. We can use a financial calculator or spreadsheet software to solve for the IRR.
Product A: IRR = 28.28%
Product B: IRR = 29.58%
To calculate the profitability index (PI), we divide the present value of the future cash inflows by the initial investment.
Product A:
PV of future cash inflows = $38,611 + $64,357 + $79,396 + $81,193 + $77,658 = $341,215
PI = $341,215/$340,000
PI = 1.00
Product B:
PV of future cash inflows = $66,667 + $111,111 + $114,882 + $99,425 + $97,659 = $489,744
PI = $489,744/$540,000
PI = 0.91
To calculate the simple rate of return (SRR), we divide the average annual cash inflow by the initial investment.
Product A:
Average annual cash inflow = ($56,000 + $112,000 + $168,000 + $224,000 + $280,000)/5 = $168,000
SRR = $168,000/$340,000
SRR = 0.49 or 49%
Product B:
Average annual cash inflow = ($80,000 + $160,000 + $240,000 + $320,000 + $400,000)/5 = $240,000
SRR = $240,000/$540,000
SRR = 0.44 or 44%
6a.
Based on the payback period, Product B is preferred because it has a shorter payback period of 1.85 years compared to Product A’s payback period of 2.21 years.
Based on the net present value, Product A is preferred because it has a positive NPV of $21,215 compared to Product B’s negative NPV of -$50,256.
Based on the internal rate of return, Product B is preferred because it has a higher IRR of 29.58% compared to Product A’s IRR of 28.28%.
Based on the profitability index, Product A is preferred because it has a PI of 1.00, indicating that for every dollar invested, we receive one dollar in return. Product B has a PI of 0.91, indicating that for every dollar invested, we receive only $0.91 in return.
Based on the simple rate of return, Product A is preferred because it has a higher SRR of 49% compared to Product B’s SRR of 44%.
6b. Based on the simple rate of return, Lou’s division should accept Product A because it has a higher SRR of 49% compared to Product B’s SRR of 44%. However, other measures such as the net present value and internal rate of return suggest that Product A may not be the best choice.
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Approximate the area of the circle segment bounded by DE and arc DE if r =20 and theta=47°. Photo Attached
Answer: 1256.63706
Step-by-step explanation: A=(π20)2
The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.
To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:
Area = (1/2) * r^2 * (θ - sinθ)
Where:
r is the radius of the circle (r = 20 in your case).
θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).
Let's calculate it:
θ = 47° * (π / 180) ≈ 0.8203 radians
Now, plug these values into the formula:
Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))
Area ≈ (1/2) * 400 * (0.8203 - 0.7317)
Area ≈ (1/2) * 400 * 0.0886
Area ≈ 17.72 square units
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Real-life Problems Question 10
Answer :
a) It is given that
Everyday a machine makes 500000 staples and puts them into the boxes.
The machine need 170 staples to fill a box
One box contans = 170 staples.
Total number of staples = 500000
Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.
[tex] \: :\implies [/tex] 500000 /170
[tex] :\implies \: [/tex] 2941 (approx)
Therefore, 2941 boxes are required to fill with 500000 staples.
b) It is given that,
Each staple is made of 0.21 g of metal .
Total weight of metal = 1 kg = 1000 g
1 staple = 0.21 g
Number of staples = weight of metal/ Weight of 1 staple.
[tex] \: :\implies [/tex] 1000/0.21
[tex] \: :\implies [/tex] 4761 (approximately)
Therefore, 4761 staples can be made from 1 kg of the metal.
A new truck was purchased for $58,000. Each year after the truck was purchased, its value decreased by approximately seven-eighths. What is the value of the truck 12 years after
purchase?
Answer:
Therefore, the value of the truck 12 years after it was purchased is approximately $1,624.
Step-by-step explanation:
To find the value of the truck after 12 years, we need to apply the seven-eighths decrease to the original value each year. Let's set up an equation:
Value after 12 years = $58,000 x (7/8)^12
Simplifying, we get:
Value after 12 years = $58,000 x 0.028
Value after 12 years = $1,624
Therefore, the value of the truck 12 years after it was purchased is approximately $1,624.
1. A bag contains 10 red balls and 6 white balls, all with the same size. Randomly choose two balls one after the other without replacement. Find the probability that both are red balls.
2. Is the event likely or unlikely to occur? Explain why or why not?
Answer: 1. the probability of both balls being red is 3/8 or 0.375. 2.unlikely to occur
Step-by-step explanation:
Answer:
62.50
Step-by-step explanation:
The event is more likely to occur because there are 4 more red balls than white balls. The probability of 2 white balls selected are 37.50, which means that the probability of 2 red balls selected are 62.50.
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The solution of the logarithmic equation is v = 0.00137
How to solve the logarithmic equation?Here we want to solve the logarithmic equation:
log₃(v) = -6
Remember that:
logₐ(x) = ln(c)/ln(a)
Then we can rewrite the equation as follows:
log₃(v) = -6
ln(v)/ln(3) = -6
ln(v) = -6*ln(3)
Now we can apply the exponential equation in both sides, we will get.
exp(ln(v)) = exp(-6*ln(3))
v = exp(-6*ln(3))
v = 0.00137
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A farmer wants to make a rectangular field with a total area of 3000 square meters. It is surrounded by a fence. It is divided into 3 equal areas by fences as shown. Express the total length L of all the fence required in terms of the length x of one of the fences which divide the field.
Compute the required rate of return on two stocks with beta values of 0.5 and 2 respectively assuming the risk-
free rate of 5% and the market return of 10% using the capital asset pricing model. Please show work. Thank you.
The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.
What is Rate of return?Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.
What is stock?A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.
According to the given information:
The Capital Asset Pricing Model (CAPM) is expressed as:
R = Rf + beta*(Rm - Rf)
Where:
R = Required rate of return
Rf = Risk-free rate of return
beta = Beta coefficient (systematic risk)
Rm = Expected market return
Using the given values, we can compute the required rate of return for each stock:
Stock with beta of 0.5:
R = 5% + 0.5*(10% - 5%)
R = 7.5%
Stock with beta of 2:
R = 5% + 2*(10% - 5%)
R = 15%
Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.
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rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
[tex]A(t)=P(1+r/n)^n^t[/tex], where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
[tex]5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t[/tex]
A boat traveled 189 miles downstream and back. The trip downstream took 9 hours. The trip back took 63 hours. Find the speed of the boat in still water and the speed of the current
The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.
To find the speed of the boat in still water and the speed of the current, let's follow these steps:
Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).
Step 2: Use the formula distance = time × speed to write two equations based on the given information.
Downstream: 9(x + y) = 189
Upstream: 63(x - y) = 189
Step 3: Simplify both equations:
Downstream: x + y = 21 (divide both sides by 9)
Upstream: x - y = 3 (divide both sides by 63)
Step 4: Solve the system of equations by adding the two simplified equations:
2x = 24
x = 12
Step 5: Plug the value of x back into either equation to solve for y:
12 + y = 21
y = 9
So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.
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What is the value of z in this triangle?
Enter your answer in the box.
z =
Answer:
z = 23
Step-by-step explanation:
62 + 95 = 157
180 - 157 = 23
Please answer the following question.
The cross product of (a - b) and (a + b) is: [-8, -8, -2].
How to solve the vectorGiven the vectors a = (3, 4, -7) and b = (4, 5, 8), you want to compute the cross product of (a - b) and (a + b).
First, let's compute the vectors (a - b) and (a + b):
a - b = (3 - 4, 4 - 5, -7 - 8) = (-1, -1, -15)
a + b = (3 + 4, 4 + 5, -7 + 8) = (7, 9, 1)
Now, let's compute the cross product of the two vectors:
(-1, -1, -15) × (7, 9, 1) = [(-1)(9) - (-1)(1), (-15)(1) - (-1)(7), (-1)(7) - (-1)(9)] = [-8, -8, -2]
So, the cross product of (a - b) and (a + b) is: [-8, -8, -2].
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¿Cuál es la tangente de la siguiente derivada:
f’(x) = 6x^2 - 6x - 12
Esta es la pendiente de la recta tangente a la curva f(x) en el punto x = a.
Que es derivado?La tangente de una derivada no es una operación matemática bien definida. Supongo que lo que se quiere encontrar es la pendiente de la recta tangente a la curva representada por la función f(x) cuya derivada es f'(x) = 6x^2 - 6x - 12 en algún punto x = a.
La pendiente de la recta tangente a la curva f(x) en el punto x = a está dada por la derivada de f(x) evaluada en ese punto, es decir:
m = f'(a)
Entonces, para encontrar la pendiente de la recta tangente a la curva de la función f(x) en el punto x = a, tenemos que evaluar f'(x) en x = a:
m = f'(a) = 6a^2 - 6a - 12
donde f(a) es el valor de la función en el punto x = a.
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what shape is a concave hexagon with two pairs of congruent sides
The shape that is a concave hexagon with two pairs of congruent sides is an irregular hexagon.
What is a hexagon?A hexagon is defined as the type of polygon that is made up of six sides and six angles that sums up to 720° and also have 6 vertices.
A hexagon can be of various irregular shapes such as concave, convex and complex irregular shapes.
The properties of irregular hexagon include the following:
They have sides of different lengths andThey have angles of varying measures.The concave irregular hexagon has two pairs of congruent sides that are equal in measurement.
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Line G passes through the point (7,11) and is parallel to the line given by y = 4(3x + 2). What is the equation of line G? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.
Answer:
y = 12x - 73
Step-by-step explanation:
Pre-SolvingWe are given the line y=4(3x+2).
We want to find the equation of line G, which contains the point (7,11), and is parallel to y=4(3x+2) in the form y=mx+c. m is the slope, and c is the value of y at the y-intercept.
Parallel lines have the same slopes. So, we should start by finding the slope of y=4(3x+2).
SolvingWe can do the distributive property to distribute the 4 to both terms on the right side.
y=4(3x+2) => y=12x + 8
Notice how this equation is written in the form y=mx+c. As 12 is written in the place where m is, the slope of this line is 12.
It is also the slope of line G.
We can replace m in y=mx+c with 12 for line G. We'll get:
y=12x + c
Now, we need to find c.
We can use the point (7,11) to help us find c.
Substitute 7 for x and 11 for y.
11 = 12(7) + c
Multiply.
11 = 84 + c
Subtract 84 from both sides
-73 = c
Substitute -73 as c.
y = 12x - 73
Antonio has a 1 gallon of milk. He wants to make a recipe for Mexican rice pudding the calls for 1 quart of milk if he tripled the recipe how many cups of milk will Antonio have left over
At the end, Antonio has 4 cups of milk leftover.
How many cups of milk will Antonio have left over?We know that Antonio has 1 gallon of mil, and he needs to use 3 quarts of milk for the recipe.
Then we need to perform a change of units, we know that:
1 gallon = 4 quarts.
Then after he uses 3 quarts, he will have 1 quart remaining, and now we want to know how many cups is that, we know that:
1 quart = 4 cups.
So Antonio has 4 cups leftover.
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PLEASE ANSWER THIS ILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
The equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.The price for t-shirts = $12 eachThe price for the sweatshirt = $15 eachLet's suppose x number of t-shirts and y number of sweatshirts bought.Then,12x + 15y = 120The equation represents the total number of t-shirts and sweatshirts bought if spend $120Thus, the equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120
Question is below ⬇️.
Answer:
b.59
Step-by-step explanation:
this is the answer of whats you want
Please help!! You don’t have to answer #2 but I’d appreciate it if you did.
We can use factorization method to solve quadratic equation.
And, The value of solution of the quadratic equation is,
⇒ x = 2, 6
We have to given that;
Quadratic equation is,
⇒ x² - 8x = - 12
Now, We can simplify as;
⇒ x² - 8x = - 12
⇒ x² - 8x + 12 = 0
Factorized it as;
⇒ x² - (6 + 2)x + 12 = 0
⇒ x² - 6x - 2x + 12 = 0
⇒ x (x - 6) - 2 (x - 6) = 0
⇒ (x - 2) (x - 6) = 0
⇒ x = 2, 6
Thus, We can use factorization method to solve quadratic equation.
And, The solution is,
⇒ x = 2, 6
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10
11
How many 4-digit numbers can you make using only 7, 2, and 6 if a 7 must
be in the tens place? You can repeat digits 7, 2, and 6. You can draw a
possibility tree.
Answer:
10
Step-by-step explanation:
I do not know how to make a possibility tree, but I can explain it in words. the possibilities could be at lost, 10
Doug has 8 square pieces of wood. Each piece of wood has a side length of s centimeters. The total area of all eight pieces of wood is 200 square centimeters. Create a quadratic equation Dounfg can use to find the side length of each piece of wood.
Answer:
The area of a square is given by the formula A = s^2, where s is the side length. If Doug has 8 square pieces of wood, each with a side length of s centimeters, the total area of all the pieces can be expressed as:
8s^2 = 200
To solve for s, we can simplify the equation by dividing both sides by 8:
s^2 = 25
Now we can create a quadratic equation by subtracting 25 from both sides:
s^2 - 25 = 0
This is a quadratic equation in standard form, where the coefficient of the squared term is 1, the coefficient of the linear term is 0, and the constant term is -25. Doug can use this equation to find the side length of each piece of wood by solving for s using methods such as factoring, completing the square, or using the quadratic formula.
How are quarts and gallons related?
Answer:A quart contains 4 cups or 2 pints while a gallon contains 16 cups or 8 pints. Hence, a liquid gallon is equal to 4 liquid quarts.
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If every 2 cm on a scale drawing is equal to 7 feet in real life, which lines on the drawing would be greater than 21 feet in real life? Select all that apply. A) 7 cm B) 5 cm C) 9 cm D) 12 cm
The correct answers are A) 7cm, C) 9cm and D) 12cm
Define the Conversion of units?The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.
If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.
Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:
⇒ [tex]\frac{2cm}{7 feet} = \frac{x cm }{yfeet}[/tex]
where y is the length of the line in real life. Solving for y, we get:
⇒ [tex]y = \frac{7 feet} {2cm} *x[/tex]
⇒ [tex]y = 3.5 x feet[/tex]
If we put x = 2cm (given) then, y = 7 feet
For y = 21 feet, the value of x = 6cm.
Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.
So, the lines on the drawing that are greater than 21 feet in real life are:
A) 7cm, C) 9cm, D) 12cm
Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm
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PLEASE HELP ON THIS MATH QUESTION WORTH 20 POINTS WILL GIVE YOU A GOOD SCORE FOR HELPING
Answer: 64
Step-by-step explanation:
First you do, 237+192+179 which is 608.
Then you do, 800-608 which is 192.
Lastly, you do 192 divided by 3 which gives you 64 as your final answer. So you have to do 192/3 for the 3 7th grade classes to get an equal amount of the prize money.
[tex]192/3=64 \dollars[/tex]
Hope this helps!
a circle has a circumerence of 6. it has a arc length of 1. what is the central angle of the arc
the central angle of the arc is π/3 radians.
What is circumference of a circle?
Circumference or perimeter of a circle refers to the measuring of its limits. Contrarily, a circle's radius influences the amount of space it takes up. If a circle is opened up and represented by a straight line, its circumference is equal to its length. It is usually measured in units like centimetres or metres. While utilising the formula, the radius of the circle is taken into account when calculating the circle's circumference. Therefore, we need to know the radius or diameter value to determine the circle's perimeter.
Central angle (in radians) = arc length / radius
In this case, we are not given the radius of the circle directly, but we know that the circumference of the circle is 6. We can use the formula for circumference to find the radius:
Circumference = 2 * pi * radius
6 = 2 * pi * radius
radius = 3 / pi
Now we can use the formula for the central angle:
Central angle (in radians) = arc length / radius
Central angle = 1 / (3/pi) = pi/3
Therefore, the central angle of the arc is π/3 radians.
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If a-1/a=7 what find the value of a4+1/a4
HELP PLEASE ILL GLADLY APPRECIATE IT.
The number line that shows the position of each country is added as an attachment
Completing the number lineFrom the question, we have the following parameters to create the number line
Panama = 4 * 10⁶Peru = 3.2 * 10⁷Thailand = 7 * 10⁷See attachment for the label of each tick as a multiple of the power of 10⁷
Next, we represent each country on the number line
See attachment for the completed number line
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A rectangular prism shaped shipping container is 1014 inches wide, 1512 inches long, and 2012 inches tall.
What is the volume of the shipping container in cubic inches?
Responses
4614 in³
46 and 1 fourth, in³
15878 in³
158 and 7 eighths, in³
3000116 in³
3000 and 1 sixteenth, in³
32561516 in³
The volume of shipping container is calculated as:
c. 3000116 in³ 3000 and 1 sixteenth, in³
How to Find the Volume if Rectangular Prism Shipping Container?The shipping container in this problem has a shape of rectangular prism. To find it's volume, we will apply the formula for the volume of a rectangular prism which is given as:
Volume = length × width × height.
Given the parameters of the shipping container as:
Length = 1512 inches
Width = 1014 inches
height = 2012 inches
Plug in the values:
volume of shipping container = 1512 × 1014 × 2012
= 3.08473402e9 cubic inches.
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translate the sentence into an equation.
Three less than the product of 2 and a number is 4 .
Use the variable x for the unknown number.
The answer of the given question based on the the sentence into an equation is , 2x - 3 = 4.
What is Equation?In mathematics, equation is statement that asserts equality of the two mathematical expressions. It typically contains variables, constants, and mathematical operations like addition, subtraction, multiplication, division, exponentiation, and logarithm. An equation usually consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The values of the variables that satisfy the equation are called its solutions.
The sentence be translated into equation are as follows:
2x - 3 = 4
where x is the unknown number.
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