Answers
9 inches = 14 yard
Formula: divide the value in inches by 36 because 1 yard equals 36 inches. So, 9 inches = 936 = 14 or 0.25 yard.
Answer:
4 yards
Step-by-step explanation:
Use a ratio and then cross multiply
120 yd x yd
--------- = ---------
270 in 9 in
270x = 1080
x= 1080 / 270
x = 4 yd
Related Questions
You deposit $9000 in an account that pays 5% interest compounded quarterly.
A. Find the value of one year
B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)
Answers
Step-by-step explanation:
Given:
Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4A. Find the value of one year
[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]B. Use the future value formula for simple interest to determine the effective annual yield
[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%Answer:
A) $9458.51
B) 5.09% (2 d.p.)
Step-by-step explanation:
Part ACompound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]
[tex]\implies \sf A=9000(1.0125)^4[/tex]
[tex]\implies \sf A=9458.508032...[/tex]
Therefore, the value of the account after 1 year is $9458.51.
Part BSimple Interest Formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $9458.51P = $9000t = 1 yearSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]
[tex]\implies \sf 9458.51=9000(1+r)[/tex]
[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]
[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]
[tex]\implies \sf r=0.050945...[/tex]
[tex]\implies \sf r=5.0945... \%[/tex]
Therefore, the effective annual yield is 5.09% (2 d.p.).
The scale drawing at right shows the first slope of a house, the actual dimensions of the garage are 20 feet by 25 feet. All angels are right angels.
A. how many feet does each inch represent? That is, what is the scale?
B. What are the length and width of the living room on the scale and drawing( in inches)?
C. What are the actual length and width of the living room( in feet)?
D. if the family wants to lay carpet in the living room and carpeting cost $1.25 per square foot, how much will carpet cost
Answers
Answer:
See belowStep-by-step explanation:
A)
According to dimensions of the garage, the scale is:
1 in : 20 ft, as the width of the garage is 20 ft and on paper is 1 inB)
Living room
Dimensions on paper:
2 in x 1 1/4 inC)
Actual dimensions:
2*20 ft = 40 ft and1 1/4 * 20 ft = 25 ftD)
The area of the living room:
A = lw = 25*40 = 1000 ft²Cost of carpet:
1000*$1.25 = $1250Length
20(2)=40ftWidth
1.25(20)25ftArea
25(40)1000ft²Total cost
1000(1.25)$1250Lauren bought x boxes of cookies to bring to a party. Each box contains 12 cookies.
She decides to keep two boxes for herself. She brings 60 cookies to the party. Write
an equation that can be used to find the number of boxes, x, Lauren bought.
Answers
Answer:
12x-2=60
Step-by-step explanation:
since there are 12 cookies per box, u could multiply it by x boxes, and since she kept 2 you would need to subtract it from your total.
What is the inverse of the function?
f(x) = 3^x + 1
f^-1(x)= log3 (x) +1
f^-1(x)= log3(x)-1
f^-1(x)=log3(x+1)
f^-1(x)=log3(x-1)
Answers
Answer:
f^-1(x)=logs3(x+1)
Step-by-step explanation:
Let y=f(x)
[tex]\\ \rm\Rrightarrow y=3^x+1[/tex]
Interchange[tex]\\ \rm\Rrightarrow x=3^y+1[/tex]
[tex]\\ \rm\Rrightarrow lnx=ln(3^y+1)[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{ln(y-1)}{ln3}[/tex]
Again interchange
[tex]\\ \rm\Rrightarrow f^{-1}(x)=\dfrac{ln(x-1)}{ln3}[/tex]
if buyer purchases 25% of a lot in the spring and then purchases 50% more in the fall what percentage of the lot is still available to purchase
Answers
Answer:
25%
Step-by-step explanation:
Total purchase = 25%+50%
Total purchase = 75%
Percentage left = 100% - 75%
Percentage left = 25%
I know how to do it just then one’s a bit confusing
Answers
Answer:
208 ft^3
Step-by-step explanation:
Let the plane through the 4 ft X 4ft square at the top of the figure break the figure into 2 boxes, one has dimensions (8-7) by 3 by 4 = 1ft X 3ft X 4ft, and the other has dimensions 7 by 7 by 4 = 7ft X 7ft X 4ft.
They have volumes of (1)(3)(4) = 12 ft^3, and (7)(7)(4) = 196 ft^3, respectively, so the total volume = 12 + 196 = 208 ft^3, the answer.
How much is does 8×10 equal to?
Answers
Have a great day! :)
Answer:
80
Step-by-step explanation:
8x10= 80
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Answers
Adjoa take-home pay earned for the past month is Ghc4,265.46
From the question,
We are to determine the amount of take-home pay Adjoa earn the past month
From the given information, we have that
Adjoa’s gross salary for last month was Ghc4,687.24
Also
Ghc421.78 was deducted from Adjoa’s salary pay
To determine how much take-home pay Adjoa earn the past month,
We will subtract the amount deducted from Adjoa’s salary pay from Adjoa’s gross salary for last month
That is,
Adjoa take-home pay = Ghc4,687.24 - Ghc421.78
Adjoa take-home pay = Ghc4,265.46
Hence, Adjoa take-home pay earned for the past month is Ghc4,265.46
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Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
Answers
nothing yw listen to your teacher
81 x
3y + 72x
2y
2 + 16xy
3
Answers
Answer:
Step 1 :Equation at the end of step 1
((81•(x4))-((72•(x2))•(y2)))+24y4
Step 2 :
Equation at the end of step 2 :
((81 • (x4)) - ((23•32x2) • y2)) + 24y4
Step 3 :
Equation at the end of step 3 :
(34x4 - (23•32x2y2)) + 24y4
Step 4 :Trying to factor a multi variable polynomial
4.1 Factoring 81x4 - 72x2y2 + 16y4
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (9x2 - 4y2)•(9x2 - 4y2)
Detecting a perfect square :
4.2 81x4 -72x2y2 +16y4 is a perfect square
It factors into (9x2-4y2)•(9x2-4y2)
which is another way of writing (9x2-4y2)2
How to recognize a perfect square trinomial:
• It has three terms
• Two of its terms are perfect squares themselves
• The remaining term is twice the product of the square roots of the other two terms
Trying to factor as a Difference of Squares:
4.3 Factoring: 9x2-4y2
Put the exponent aside, try to factor 9x2-4y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 4 is the square of 2
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (3x + 2y) • (3x - 2y)
Raise to the exponent which was put aside
Factorization becomes : (3x + 2y)2 • (3x - 2y)2
Final result :
(3x + 2y)2 • (3x - 2y)2
Step-by-step explanation:
Answer:
81x+16y
should be the correct one
The midpoint of AB is M (4,2). If the coordinates of A are ( 6,-4) what are the coordinates of B?
Answers
Answer:
(2,8)
Step-by-step explanation:
m (4,2)
(6,-4)
(2,8)
Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup of yogurt. Using this ratio, how much cinnamon does Sandeep need if he uses 3 cups of yogurt?
Answers
Answer:
That sounds delicious
Step-by-step explanation:
0.5:0.75 = x:3
2 teaspoons of cinnamon needed
what decimal is equivalent to 8 9/100
Answers
Answer:
8.09
Step-by-step explanation:
8.09 I think. I’m not positive but I think so.
HELP HELP
Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find m∠Y
Answers
Answer:
m∠Y= 120
Step-by-step explanation:
Given,
FGHI≅WXYZ
m∠H=m∠Y [ Corresponding parts of congruent figures]
m∠Y= 120
Find the missing side
Answers
Answer:
A. 8
The missing side is 8
I am using remainders
Answers
Answer:
Step-by-step explanation:
Is there an image or question?
What is the domain of y=log 4(x+3)?
Answers
Answer:
Y= log 4(x+3)
then you should do (x+3)= 3x= log 4.
Step-by-step explanation: Sorry I'm not 100 % sure so yeah
But let's see 3x = log 4
oh so then you need to divide 3 at both sides so then what's 4/3= 1.3333333333.
So now I think it's C). All real numbers are les than 3.
What is the relationship for angle 1 and angle 8
Answers
Answer:
Step-by-step explanation:
In this cofiguration, there are 8 angles. 4 equal one value and 4 are their supplements of the first 4.
6 and 80 and 2 and 3 are all equal to 80 degrees.
1 4 5 and 8 are the supplements. So whatever their value, they are all equal to the same thing. <1 = <8
They are supplementary to the 80 degree angle
<1 + 80 = 180 Subtract 80 from both sides
<1 = 180 - 80
<1 = 100
So angle 1 and <8 both equal 100 degrees.
Answer:
Alternate exterior angles.
Step-by-step explanation:
Alternate exterior angles are angles on opposing sides of the transversal and the outside of the parallel lines. Moreover, they are congruent. Therefore, ∠1 ≅ ∠8.
Find the length of the side of a square whose area is equal to the area of a rectangle with side measures 4.9 m and 1.6 m
Answers
Given :
Area of square equals to the area of rectangle of sides 4.9m and 1.6m .To find :-
The side of the square .Solution :-
As we know ,
Area = side² 4.9 * 1.6 = a²a = √ 49/10 * 16/10 a = 7/10 * 4/10 a = 28/100 a = 0.28 mNO LINKS!!!
Find the coordinates of point on the directed segment from (1,6) to (-2,-3) that divides it into a ratio of 5:1.
a. (-1.5,-1.5)
b. (1.5, 1.5)
c. (-1,-1)
d. (-2.5, -3.5)
Answers
Answer:
A. (-1.5, -1.5)Step-by-step explanation:
Find the coordinates:
x = 1 + 5/6(- 2 - 1) = 1 - 5/2 = -1.5y = 6 + 5/6(-3 - 6) = 6 - 15/2 = -1.5Correct choice is A
PLS HELP ILL GIVE BRANLIEST
What is the value of b in the equation (y^b)^4= 1/y^24?
Answers
Answer:
b= -6
y^(b×4) = y^(-24)
b= -6
Just pleasssssssssss help me.
Answers
3/14 2/7 1/2
Step-by-step explanation:
divide all of them seprately to get your decimal amount
3/14, 2/7, 1/2
1st you would need to find a common denominator which would be 14.
3/14 =3/14
1/2 = 7/14
2/7 = 4/14
Then you can compare them easier and see that the order is 3/14, 2/7, 1/2
Hope this helps :D
An aquarium has 5 gallons of water in it and is being filled up at a rate of g gallons every m minute. The amount of water w in the tank can be represented by the equation
w = 5 + g - m. Write an equation that can be used to find the number of minutes m the tank has been filled if we know w and g.
Write an equation that can be used to find the number of minutes g the tank has been filled if we know w and a.
Answers
Answer:
m=5+g-w
Step-by-step explanation:
This should be the answer based on the equation given.
Answer:
See belowStep-by-step explanation:
The equation for the amount of water is:
w = 5 + gmSolve for m:
gm = w - 5m = (w - 5)/gNow solve for g:
gm = w - 5g = (w - 5)/mIF Tyler s currently 5 inches
tal, how many inches more
does he need to grow to be
feet tal?
Answers
Hey there! Your answer is:
7 inches
Explanation:
If Tyler is 5 inches tall, he needs to grow 7 inches to be a foot tall. This is because 12 inches are in 1 foot. We can do a simple subtraction problem to figure this out.
12 inches - 5 inches = 7 inches
Since Tyler is 5 inches tall, we know that if we subtract 12 inches from 5 inches we will get the number of inches he needs to grow.
I hope this answer helps you out! Let me know if you have any questions and have a wonderful day/night!
an equation for the line, in point stope form, that passes through the following points (- 4, - 4); (4, 5)
Answers
Answer:
（8,9）
Step-by-step explanation:
-4＋8＝4
-4＋9＝5
that what i think
x / 2.5 = 10
plz helppp
Answers
Answer:
x=25
Step-by-step explanation:
Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add?
[tex]1.( \frac{0.8}{8 + x} )( \frac{5}{100} = 1 \\ 2. \frac{0.8}{8 + x} = \frac{5}{100} \\ 3. \frac{0.8}{8 + x} = \frac{100}{5} \\ 4. \frac{0.8}{8 + x} \div \frac{5}{100} = 1[/tex]
Answers
Answer:
2) 0.8/8+x=5/100
Step-by-step explanation:
Answer:
letter B is the correct answer!
ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.
What is the expected value of this policy to the insurance company?
Round your answer to two decimal places.
Answers
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
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https://brainly.com/question/19819099
Help as soon as possible please if the answer is correct I’ll give brainliest
Answers
Answer:
The slope is 4, while the y intercept is 2
...starting with 2 cards and adding 4 cards each week
Step-by-step explanation:
The slope is always the coefficient (the number in front) of x.
The y intercept is the number on its own.
Hope this helps!
5m > 45 I need help
Answers
Answer:
m = 10
5 x 10 = 50
50 > 45
Step-by-step explanation: