Answer:
3,5,7
Step-by-step explanation:
to find which set it is you have to add the first too like this
3+5 >7 if greater than 7 move on too this
5+7>3 if greater move on to this
3+7>5 if greater that means it is a set you can use
3,5,7 is the set of three numbers that could be the side lengths of a triangle. This can be obtained by using the triangle inequality theorem.
What is triangle inequality theorem?Triangle inequality theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If ΔABC is a triangle with sides a, b and c, then it should satisfy the following conditions, a+b>c
b+c>a
a+c>b
Which is the required set of three numbers?
Use the triangle inequality theorem in each set,
Set 1: 3,5,93+5=8<9, does not satisfy the theorem
Set 2: 2,4,62+4=6, does not satisfy the theorem
Set 3: 2,4,82+4=6<8, does not satisfy the theorem
Set 4: 3,5,73+5=8>7
3+7=10>5
5+7=12>3, this set satisfies the theorem
Hence 3,5,7 is the set of three numbers that could be the side lengths of a triangle.
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Please help, I'm stuck on this question
Answer: Option C
[tex]a> 0[/tex]
Step-by-step explanation:
The graph shows a radical function of the form [tex]f(x)=a(x+k)^{\frac{1}{n}}+c[/tex]
Where n is a positive number.
For this type of function, if the coefficient [tex]a> 0[/tex] then then when x tends to [tex]\infty[/tex] f(x) tends to [tex]\infty[/tex] and when x tends to [tex]-\infty[/tex] then f(x) tends to [tex]-\infty[/tex].
Notice in the graph that as x increases then f(x) also increases and as x decreases f(x) also decreases.
This indicates that the coefficient [tex]a> 0[/tex]
Roopesh has $24 dollars to spend on a birthday gift. The store where he is shopping has a sale offering $5 off the regular price, r, of any item. Write an inequality that can be used to determine the regular price of an item in the store that Roopesh can afford. (Assume there is no tax.)
What is the unknown?
Which expression can represent the sale price?
Which comparison could be used?
Which inequality represents the situation?
Answer:
r ≤ 29, r-5
The sale price can be compared with the regular price, r-5 ≤ 24
Step-by-step explanation:
Amount to spend = $24
Regular price = r
Sale = $5
Sale Price = r-5
The regular price will be $5, at the max, more than the amount Roopesh has to spend.
The sale price will be $24 or less than that for Roopesh to afford.
Inequality for regular price:
r-5 ≤ 24
r ≤ 29
So, the product Roopesh can afford is $29 or less than that.
What is the unknown? r ≤ 29
Following expression can represent the sale price:
Sale price = r-5
The sale price can be compared with the regular price with the following:
Inequality representing the situation: r-5 ≤ 24
Which of the following is the complete list of roots for the polynomial function f(x)=(x^2+6x+8)(x^2+6x+13)
Answer:
x = -4 or x = -2Step-by-step explanation:
[tex]f(x)=(x^2+6x+8)(x^2+6x+13)\\\\f(x)=0\iff(x^2+6x+8)(x^2+6x+13)=0\iff\\x^2+6x+8=0\vee x^2+6x+13=0\\\\x^2+6x+8=0\\x^2+4x+2x+8=0\\x(x+4)+2(x+4)=0\\(x+4)(x+2)=0\iff x+4=0\ \vee\ x+2=0\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x^2+6x+13=0\qquad\text{subtract 13 from both sides}\\x^2+6x=-13\\x^2+2(x)(3)=-13\qquad\text{add}\ 3^2=9\ \text{to both sides}\\x^2+2(x)(3)+3^2=-13+9\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\(x+3)^2=-4<0\qquad\bold{no\ solution}[/tex]
Answer:
c (–2, –4, –3 + 2i, –3 – 2i) on edg2021
Step-by-step explanation:
What is the domain of y=4sin(x)?
Answer:
( − ∞ , ∞ ) { x | x ∈ R }
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
There are 15 research doctors participating in the study and the research board needs to be established with the offices of director, assistant director, quality control analyst, and correspondent. (Doctors can only hold one office on the research board.) Determine how many ways this research board can be chosen and explain your process.
Answer:
32760
Step-by-step explanation:
There are 4 positions on the board. There are 15 possible candidates for the first position. That leaves 14 candidates for the second position. Which leaves 13 for the third position, and 12 for the fourth position.
15 × 14 × 13 × 12 = 32760
Answer: There are 32,760 ways that research board can be chosen.
Step-by-step explanation:
Since we have given that
Number of research doctors participating in the study = 15
the research board requires to be established with offices of director, Assistant director, Quality control analyst, and Correspondent.
Since there are 15 choices for the Offices of director,
There are 14 choices for the Assistant director,
There are 13 choices for Quality control analyst,
There are 12 choices for Correspondent.
So, by applying "Fundamental theorem of counting", we get that
Number of ways that research board can be chosen is given by
[tex]15\times 14\times 13\times 12\\\\=32,760[/tex]
Hence, there are 32,760 ways that research board can be chosen.
Prasant wants to write a statement that can be represented by the inequality h>4.5 Which describes the correct method to write a statement to match this inequality?
Answer:
Prasant needs more than 4.5 bags of candy to hand out during Halloween.
Step-by-step explanation:
The correct method to write a statement that matches the inequality [tex]\( h > 4.5 \)[/tex] is to express that the value of [tex]\( h \)[/tex] is greater than 4.5. This can be done by stating that [tex]\( h \)[/tex] must be some quantity more than 4.5, without specifying the exact amount by which [tex]\( h \)[/tex]exceeds 4.5.
For example, one could write the statement as:
The value of [tex]\( h \)[/tex] is more than 4.5 units.
This statement correctly conveys that [tex]\( h \)[/tex] is not equal to 4.5 and is somewhere on the number line to the right of 4.5, with no upper limit specified. It is important to note that the inequality [tex]\( h > 4.5 \)[/tex] does not include the value 4.5 itself; [tex]\( h \)[/tex] must be strictly greater than 4.5.
In summary, the statement should indicate that \( h \) is any number that is greater than 4.5, and the value of [tex]\( h \)[/tex] can be infinitely close to 4.5 but never equal to or less than it.
A function is shown in the table. x g(x) −2 2 −1 −3 0 2 1 17 Which of the following is a true statement for this function? (5 points)
Answer:
We have the following function:
x g(x)
−2 2
−1 −3
0 2
1 17
And the following statements:
(A)The function is increasing from x = −2 to x = −1.
(B)The function is increasing from x = 0 to x = 1.
(C)The function is decreasing from x = −1 to x = 0.
(D)The function is decreasing from x = 0 to x = 1.
Option A is false. Because from x=-2 to x=-1, the function is degresing given that for x=-2, g(x) = 2 and for x=-1 the value of g(x) decreases.
Option C is false. Because from x=-1 to x=0 the value of g(x) goes from -3 to 2. Therefore it increases.
Option D is false. from x=0 to x=1 the value of g(x) goes from 2 to 17. Therefore it increases.
The correct answer is OPTION B.
A minivan is purchased for $29,248. The value of the vehicle depreciates over time. Describe the advantages and disadvantages of using a linear function to represent the depreciation of the car over time. Describe the advantages and disadvantages of using an exponential function to represent the depreciation of the car over time. The minivan depreciates $3,000 in the first year. Write either a linear or exponential function to represent the value of the car x years after it was sold.
Answer:
Advantage: If a car is losing value at a constant rate, then the linear function represents accurately the depreciation of the car.
Disadvantage: If the car is not losing value at a constante rate, then when we calculate the value of the car 'x' years after it was sold, we won't get an accurate result.
If the minivan is purchased for $29,248 and the first year it depreciates $3000. Then, the linear function that represents the value of the car is:
y = $29,248 - $3000x
Where 'y' represents the value of the car, and 'x' represents the number of years.
Let us explain this with an example. After 6 years, the price will be:
y = $29,248 - $3000(6) = $11,248
The advantages of using a linear function to represent the depreciation of a car are simplicity and ease of calculation, but it assumes constant depreciation rate. On the other hand, an exponential function can account for varying depreciation rates, but can be more complex. The linear function to represent the value of the minivan after x years is V(x) = 29,248 - 3,000x.
Explanation:When representing the depreciation of a car over time, using a linear function has advantages and disadvantages. The advantages are that it provides a simple and straightforward representation of the depreciation, and it is easy to calculate and understand. However, a linear function assumes that the car depreciates at a constant rate over time, which may not always be accurate.
On the other hand, using an exponential function to represent the depreciation of the car has advantages and disadvantages as well. The advantage is that it can account for different rates of depreciation over time, which may be more realistic. However, exponential functions can be more complex to calculate and understand.
In the case of the minivan that depreciates $3,000 in the first year, a linear function can be used to represent the value of the car x years after it was sold. The linear function would be V(x) = 29,248 - 3,000x, where V(x) is the value of the car x years after it was sold.
Select the correct answer.
The function M(S) +225 +0.65s represents the material cost of manufacturing gardening scissors when s scissors are produced. The function
L(S) = 54 + 1.15s represents the labor cost for producing a scissors. Which expression correctly represents the manufacturing cost per scissors?
A. 171-0.50
OB. 279+1.805
c. 279 + 1.80
D. 171 - 0.505
Answer:
279+1.80s
Step-by-step explanation:
If we add the material cost to the labor cost, this would give us the manufacturing cost.
M(s)+L(s)=(225+0.65s)+(54+1.15s)
We will not combine like terms.
(M+L)s=225+54+0.65s+1.15s
Simplify.
(M+L)s=279+1.80s
Final answer:
The manufacturing cost per scissors can be calculated by adding the material cost and the labor cost for producing a single scissors. The correct expression for the manufacturing cost per scissors is 279 + 1.80s.
Explanation:
The manufacturing cost per scissors can be calculated by adding the material cost and the labor cost for producing a single scissors.
The material cost is represented by the function M(S) + 225 + 0.65s, and the labor cost is represented by the function L(S) = 54 + 1.15s.
To calculate the manufacturing cost per scissors, we add the two functions together:
M(S) + 225 + 0.65s + L(S) = (M(S) + L(S)) + 225 + 0.65s = (225 + 54) + (0.65 + 1.15)s = 279 + 1.80s.
Therefore, the correct expression that represents the manufacturing cost per scissors is 279 + 1.80s.
soccer practice ended at 7:00 the team stretched for 10 minutes and practice for 40 minutes. then they played a game for 35 minutes. what time did the soccer practice start
What is the difference of the rational expressions below?
3x/x-5 -4/x
Answer:
3x^2-4x+20/x^2-5x .
Step-by-step explanation:
The given rational expression is:
3x/x-5 - 4/x
Hence to find the difference of the rational numbers we have to take the L.C.M of the denominators:
Thus the L.C.M of x-5 and x is (x-5)(x) and then solve for the numerator:
x(3x) - 4(x-5)/(x-5)(x)
Now solve the numerator and denominator:
3x^2-4x+20/x^2-5x
Thus the answer is 3x^2-4x+20/x^2-5x ....
Answer:
3x^2-4x+20
-----------------
x(x-5)
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!
SOON
Answer:
1. so the total people including the teacher is 24. 12 and 8 are both factors of 24. 12x2 equals 24 and 8x3 equals 24 so if they get 2 packs of hot dogs and 3 pack of buns everyone can get 1 hot dog and 1 bun
Step-by-step explanation:
24 factors: 1, 2, 3,4 ,6,8,12 ,24
8×3=24
12×2=24
get 2 packs of sausages and 3 packs of buns
each person gets 1 hotdog and 1 bun
Gram is planning a party he for his younger sister he has 36 prizes and 24 Blynn's how many children can he have at the party's of each child gets an equal number of prizes and and an equal number of balloons
Answer:
12 children
Step-by-step explanation:
you would just find the GCF (greatest common factor) of these 2 numbers, which is 12
so each child would get 3 prizes and 2 balloons
In 6 hours I’ve done 75% of my job task how much more time do I need to be done 100%?
Answer:
2 more hours
Step-by-step explanation:
6/75 = x/100
Answer:
12.5% is left which is 3 more hours
Step-by-step explanation:
Hope this helped out! :3
4. June Elloy makes a 22 percent down payment on a home in Rockford,
Illinois. What is the purchase price of the home assuming her down
payment is $35,200?
Answer:
the price is $160000
Step-by-step explanation:
0.22x = 35200
x=160000
Salma must choose a number between 49 and 95 that is a multiple of , 6, 9 and 18. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answer:
54, 72, and 90
To select a number between 49 and 95 that is a multiple of 6, 9, and 18, Salma can choose either 54 or 90.
To find a number between 49 and 95 that is a multiple of 6, 9, and 18, we need to find the common multiples of these numbers within the given range:
Find the multiples of 6, 9, and 18 within 49-95:Common multiples of 6, 9, and 18 within this range are 54 and 90.Therefore, Salma can choose either 54 or 90 as the numbers between 49 and 95 that are multiples of 6, 9, and 18.
Write an equation of the direct variation that includes the point (6,-2)
Answer:
[tex]y = - \frac{1}{3}x[/tex]
Step-by-step explanation:
The equation of a direct variation is generally written as:
[tex]y = mx[/tex]
Where m is the slope of the equation of the direct variation line.
We want a direct variation equation that contains (6,-2).
We substitute the x=6 and y=-2 to find m.
[tex] - 2 = 6m[/tex]
Divide both sides by 6.
[tex] \frac{ - 2}{ 6} = \frac{6m}{ 6} [/tex]
[tex] - \frac{1}{3} = m[/tex]
The required equation is
[tex]y = - \frac{1}{3}x[/tex]
The equation of the direct variation that includes the point (6,-2) is y = -1/3x, calculated by substituting the point into the formula y = kx and solving for the constant of variation k.
Explanation:The subject of this question is mathematical, focusing on direct variation - a specific type of relationship between two variables where one variable is a constant multiple of the other. In this case, the student is given the point (6,-2) on the graph of this relationship. With direct variation, the formula is typically written as y = kx, where k is the constant of variation.
For this particular question, we use the point (6,-2) and substitute x = 6 and y = -2 into the formula to find the constant of variation, i.e. -2 = k * 6. Solving for k, we get k = -2/6 = -1/3. Plugging this k back into y = kx gives us our equation of the direct variation: y = -1/3x.
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The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). Which describes this translation?
Answer:
It shifts left two units, and up seven units.
Step-by-step explanation:
In your translation, it says X-2, this represents the shift to the left two times, next it says Y+7, this represents the upwards shift seven units. Basically, you're taking your beginning X and Y values, and changing them according to the right of the arrow.
Answer:
Translation of 2 units to the left and 7 units up.
Step-by-step explanation:
The general rule of translation is
[tex](x,y)\rightarrow (x+a,y+b)[/tex] .... (1)
If a>0, then figure translate a units right and if a<0, then figure translate a units left.
If b>0, then figure translate b units up and if b<0, then figure translate b units down
The given rule of translation is
[tex](x,y)\rightarrow (x-2,y+7)[/tex] .... (2)
On comparing (1) and (2), we get
a = -2 < 0, so figure translate 2 units left.
b = 7 > 0, so figure translate 7 units up.
Therefore, the given rule describes the translation of 2 units to the left and 7 units up.
if 1 liter cost $12 how much does 2.5 L cost
Answer:
$30
Step-by-step explanation:
because we know that "1 liter cost(s) $12" we can multiply 12 by 2.5 (the amount we need to know) to get $30
Answer:
$30.0
Step-by-step explanation:
What you'll need to do is multiply 12 by 2.5.
[tex]12.5x2.5=300\\\\$30.0[/tex]
What is the scale factor of this dilation?
a) 1/5
b) 1/2
c) 1
d) 2
2 because everything is multiplied by 2 so the scale factor is two
Given the functions f(x) = 10x + 25 and g(x) = x+8, which of the following functions represents f(g(x)] correctly?
Answer:
g(x + 8) = 10x + 105 wherever you see it among your answers.
Step-by-step explanation:
I think I have enough here that I can answer the question, but you should always put in your givens.
f(x) = 10x + 25 Put g(x) where you see x in f(x)
f(g(x)) = 10(g(x) + 25 Put the value for g(x) where you see g(x)
f(x+8) = 10(x + 8) + 25 This might be the answer
From here it is a guess.
f(x+8) = 10x + 80 + 25 Combine the like terms
f(x+8) = 10x + 105
Answer:
on flvs its option C
Step-by-step explanation:
David opened a coffee shop and sold 60 mochas the first day at $2 per cup. He wants to increase the price per cup to increase his revenue. He found out that for every $0.25 increase, x, in the price per cup, the number of cups he sold decreased by 2 per day. How can David find the equation which represents his daily revenue, in dollars, from mocha sales when the price is increased x times?
Answer: Multiply (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x2 + 11x + 120
We know that David wants to increase the price per cup to increase his revenue. He found out that for every $0.25 grows( increase), x, in the price for each cup.
In the event of a price increase, 2 cups remain unsold, and doubling the cups is still not sold. Then the numbers are sold (60-2x). Depending on the choice:
Revenue= (60 -2x)(2 +0.25x)
60·2 +60·0.25x -2x·2 -2x·0.25x
= -0.5x² +11x +120
Answer:
Multiply (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x2 + 11x + 120
Step-by-step explanation:
Here, x represents the times at which the price is increased,
Since, the original price of one cup = $ 2,
So, after increasing x times of $ 0.25, the new price of each cup = 2 + 0.25x,
Also, the original number of mochas = 60,
Given,
With increasing the price $ 0.25, x times, the number of cup is decreased by 2 times of x,
That is, the new number of mochas = 60 - 2x
Hence, the total revenue would be,
y = new price of each cup × new number of mochas
⇒ y = (2 + 0.25x)(60 - 2x)
⇒ y = 120 - 4x + 15x - 0.5x²
⇒ y = -0.5x² + 11x + 120
He can find find the equation which represents his daily revenue, by Multiplying (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x² + 11x + 120
A triangle ABC is dilated by a scale factor of 3 to form another triangle, LMN.
Find the measure of the sides of the triangle LMN.
Answer:
Choice B
Step-by-step explanation:
A dilation factor of three means you multiply each side bye three. The order of the letters of the triangle also matter. Since it is triangle LMN and ABC this means that A corresponds with L, B corresponds with M and C corresponds with N.
Point Q is on line segment PR. Given QR=11 and PQ=3, determine the length PR.
.
Final answer:
The length of line segment PR is the sum of the lengths of PQ and QR, which is 14 units.
Explanation:
The question asks us to determine the length of line segment PR given that point Q is on line segment PR, QR=11 units, and PQ=3 units. To find the length of PR, we simply add the lengths of PQ and QR together, since Q lies on line segment PR meaning PQ and QR are consecutive segments.
Therefore, the length of PR is PQ + QR = 3 + 11, which equals 14 units.
Find the equation of the line between the points (8,-4),(7-6)
Answer:
y=-2x+20 or y-4=-2(x-8)
Step-by-step explanation:
first we need to calculate the slope
y2-y1/x2-x1
-6+4/7-8
-2/1
The slope is -2
Nows lets find the y intercept using
y-y1=m(x-x1)
y-4=-2(x-8)
y-4=-2x+16
+4 +4
y=-2x+20
Y intercept is 20
Answer:
I didn't know what form you wanted the line in.
Slope-intercept form: y=2x-20
Standard form: 2x-y=20
Point-slope form: y+4=2(x-8) or y+6=2(x-7)
You gave the points (8,-4) and (7,-6).
That last point was (7,-6) right? I seen (7-6) and just thought you probably meant (7,-6.
Step-by-step explanation:
Equation of a line in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
To find the slope: I'm going to line up the points vertically and subtract them vertically, then put 2nd difference over 1st difference.
I feel like some people like this more than the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] or [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]. It is the same thing just a different way to organize things.
So let's do the finding of the slope:
( 8 , -4)
-( 7 , -6)
-------------
1 2
So the slope is 2/1=2.
So we have m=2.
Let's input into our equation y=2x+b.
We need to find the y-intercept. We could do that by using a point on the line. We get to choose between (8,-4) or (7,-6). It does not matter.
y=2x+b with (8,-4)
-4=2(8)+b
-4=16+b
Subtract 16 on both sides:
-4-16=b
-20=b
So the y-intercept is -20.
The equation is y=2x+-20 or y=2x-20 (your pick-same thing).
Now let's also put it in standard form which is ax+by=c where it is preferable to have a,b, and c as integers. (Integers are {...,-3,-2,-1,0,1,2,3,...}.)
y=2x-20
Subtract 2x on both sides:
-2x+y=-20
This is in ax+by=c form.
You could multiply both sides by -1:
2x-y=20.
This is still in standard form.
Let's also go for point-slope form which is y-y1=m(x-x1) where (x1,y1) is a given point on the line and m is the slope.
We already have the slope is 2.
We have two points to choose from. Choose one and go with it. Let's choose (x1,y1)=(8,-4).
y-(-4)=2(x-8)
or
y+4=2(x-8)
Now if you did go with the other point (x1,y1)=(7,-6) it would be:
y-(-6)=2(x-7)
y+6=2(x-7)
You are probably wondering how those are the same lines. Let's confirm. Solve both of them for y.
y+4=2(x-8)
Distribute 2:
y+4=2x-16
Subtract 4 on both sides:
y=2x-16-4
Simplify:
y=2x-20
Now the other line:
y+6=2(x-7)
Distribute 2:
y+6=2x-14
Subtract 6 on both sides:
y=2x-14-6
y=2x-20
A student likes to use the substitution method for systems of equation. How can he use it with a system that is not in the proper form for substitution?
Show with this system:
-2x+y=4
3x+4y=49
Please help Im stuck.
Answer:
Step-by-step explanation:
We have given:
-2x+y=4 ---------equation1
3x+4y=49 ---------equation 2
We will solve the 1st equation for y and substitute the value into the 2nd equation.
-2x+y=4 ---------equation1
Move the values to the R.H.S except y
y = 2x+4
Now substitute the value of y in 2nd equation:
3x+4y=49
3x+4(2x+4)=49
3x+8x+16=49
Combine the like terms:
3x+8x=49-16
11x=33
Now divide both the sides by 11
11x/11 = 33/11
x= 3
Now substitute the value of x in any of the above equations: We will substitute the value in equation 1:
-2x+y=4
-2(3)+y=4
-6+y=4
Combine the constants:
y=4+6
y = 10
Thus the solution set of (x,y) is {(3,10)}....
Question 10 Multiple Choice Worth 1 points)
(02.04 LC)
Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable
in this scenario
Answer:
Riding is independent variable and cost is dependent....
Step-by-step explanation:
According to the given statement Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides.
It means that if she rides a ferry, she pays
If she does not ride the ferry she won't pay
This shows that the paying depends on riding.
Thus riding is independent variable and cost is dependent....
Answer: the number of rides is the independent variable, and the total cost is the dependent variable.
If 47400 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.
(a) Annual: $
(b) Semiannual: $
(c) Monthly: $
(d) Daily: $
Using the formula for compound interest, you can calculate the future value of an investment for different compounding methods. These values turned out to be $66299.84 for annual compounding, $66933.56 for semi-annual compounding, $67183.56 for monthly compounding and $67239.46 for daily compounding.
Explanation:To solve this problem, you need to understand the compound interest formula: A = P(1 + r/n)^(nt).
Where:
A = the future value of the investment/loan, including interestP = principal investment amount (initial deposit)r = annual interest rate (in decimal form)n = number of times interest is compounded per yeart = time the money is invested for, in years(a) For annual compounding (n=1): A = 47400*(1 + 0.07/1)^(1*5) = $66299.84
(b) For semi-annual compounding (n=2): A = 47400*(1 + 0.07/2)^(2*5) = $66933.56
(c) For monthly compounding (n=12): A = 47400*(1 + 0.07/12)^(12*5) = $67183.56
(d) For daily compounding (n=365): A = 47400*(1 + 0.07/365)^(365*5) = $67239.46
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Final answer:
Calculate the value of the investment after 5 years using different compounding methods.
Explanation:
The value of the investment at the end of 5 years:
Annual: $61,571.76
Semiannual: $62,041.46
Monthly: $62,263.11
Daily: $62,334.74
A salad dressing is made by combining 2 part vinegar 5 part oil. How much ounces of oil should be mixed with 9 ounces of vinegar?
[tex]\bf \begin{array}{ccll} vinegar&oil\\ \cline{1-2} 2&5\\ 9&x \end{array}\implies \cfrac{2}{9}=\cfrac{5}{x}\implies 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}[/tex]
22.5 ounces of oil should be mixed with 9 ounces of vinegar
EquationAn equation is an expression that shows the relationship between two or more variables and numbers.
Given that:
2 part vinegar 5 part oil.
Let y represent the amount of oil to be mixed with 9 ounces of vinegar.
y = (5/2) * 9 = 22.5 ounces
22.5 ounces of oil should be mixed with 9 ounces of vinegar
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What is the quotient?
9
Answer:
Step-by-step explanation:
Dividing one number by another yields a quotient. The quotient of 9 divided by 15 can be expressed as a decimal or a fraction. Any time you divide a number by a larger number, the answer will always be less than one.
Answer:
C
Step-by-step explanation:
1/9