Garnetta will have 3,200 shares worth $ 34,125 each.
Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:
3 = 2400 4 = X 4 x 2400/3 = X 9600/3 = X 3200 = X (2400 x 45.50) / 3200 = X 109200/3200 = X 34.125 = X
Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.
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The American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.
Answer:
[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]
[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].
Rick’s Rentals is a car rental company that uses the function f(x)=22+0.10x to determine the to
tal cost of a rental as a function of how many miles a person drives. Penny’s Pencils is another company that uses a similar function g(x)=22+0.10x to determine the total cost of an order of personalized pencils as a function of the number of pencils ordered. Determine the domain and range of the company whose function is continuous and justify your answer.
Answer:
Step-by-step explanation:
The number of miles driven is sometimes written as a mixed number, and thus is a continuous variable (whereas the number of pencils purchased is not continuous (it's a whole number).
The domain of the continuous function are [0, n), where n represents the number of miles driven and is rarely over about 500 miles per day; the range is [$22, r), where r is ($0.10/mile)(number of miles driven), or approximately $50. If the renter drove 600 miles the upper end of the range would be $60. And so on.
A square field has a side length of 6x10 meters. Which of the following is its area in square meters?
Answer:
60 square meters
Step-by-step explanation:
area is just its length times its width and both numbers are provided here
6 * 10 is 60
My Kotwica is baking a few cakes for the bake sale for her school. Each cake requires 2
cups of sugar. How many cakes cun she bake if she has 7 1/3 cups of sugar?
A family buys a studio apartment for $180,000. They pay a down payment of $27,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $9,000 down payment be
Answer:
down is $153000 while purchase price is $144000
Please help pleasee right now
Ms. Mary spent $192 less than Ms.Mona on supplies for their class. Together they spent a total of $988. How much did each person spend?
Answer:
Mary:604
Mona:796
Step-by-step explanation:
Answer:
Ms. Mary spend $302
Ms. Mona spend $ 686
Step-by-step explanation: We know that Ms. Mary spend $192 less than Ms. Mona.
So we are to divide $988 by 2 which is 494
now both have $494 each but Ms. Mona spend 192 so we are to add 192 + 494 to get the right sum of how much money Ms. Mona have and take away 494-192 to get the right sum of how much money Ms. Mary spend.
192 + 494 = 686
494 - 192 = 302
A shirt cost $24.92 with 10% discount if the sales tax is 6.35% how much will the shirt cost?
Food A 150 calories in 3/4 of a serving. Food B 250 calories in 2/3 of a serving. Find each unit rate. Which food has fewer calories per serving?
The mean of 11 numbers is 49. Removing one of the numbers causes the mean to decrease to 45. What number was removed?
Answer:
89Step-by-step explanation:
The mean:
[tex]\overline{x}=\dfrac{a_1+a_2+a_3+...+a_n}{n}[/tex]
We have:
[tex]\overline{x}=49;\ n=11[/tex]
Then we have
[tex]\dfrac{11\cdot49}{11}=49[/tex]
[tex]n[/tex] - the number
new mean is equal 45.
Therefore we have the equation:
[tex]\dfrac{11\cdot49-n}{11-1}=45\\\\\dfrac{539-n}{10}=45\qquad|\text{multiply both sides by 10}\\\\539-n=450\qquad|\text{subtact 539 from both sides}\\\\-n=-89\qquad|\text{change the signs}\\\\n=89[/tex]
Step-by-step explanation:
(x1 + x2 + ... + x11)/11 = 49
x1 + x2 + ... + x11= 49×11 = 539
(x1 + x2 + ... + x10)/10 = 45
x1 + x2 + ... + x10 = 45×10 = 450
so, the difference in both sums is
539 - 450 = 89
89 was the removed number.
The hypotenuse of a 30°-60°-90º triangle is 8 units and one leg is 4 units. What is the length of the other leg?
Answer:
The length of the other leg is [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
There are 2 ways to solve this.
1) Pythagorean theorem (the harder way)
A 30-60-90 triangle is a right triangle, and therefore you can use the pythagorean theorem to calculate the measure of 1 side given the 2 others.
[tex]a^2+b^2=c^2\\a^2+4^2=8^2\\a^2+16=64\\a^2=48\\a=\sqrt{48}\\a=6.9282...[/tex]
That's one solution, but its not a very nice number or the exact answer you probably want. Instead, you can simplify the root.
First, you need to factor 48:
[tex]2*24=48\\2*12=24\\2*6=12\\2*3=6[/tex]
The prime factors of 48 are:
[tex]2*2*2*2*3=48[/tex]
Then, you need to find perfect squares:
[tex](2*2)*(2*2)*3=48\\2^2*2^2*3=48[/tex]
And finally, you can remove those like this:
[tex]\sqrt{48} =\sqrt{2^2*2^2*3} \\\sqrt{48} =2\sqrt{2^2*3} \\\sqrt{48} =2*2\sqrt{3} \\\sqrt{48} =4\sqrt{3}[/tex]
The length of the other leg is [tex]4\sqrt{3}[/tex]
2) 30-60-90 triangle relationships (the easier way)
There are 4 simple rules here:
Short leg × 2 = hypotenuseShort leg × √3 = long legLong leg ÷ √3 = short legHypotenuse ÷ 2 = short legThey're actually pretty easy to remember. You can multiply the short leg by 2 or √3, and 2 is greater than √3 (check a calculator). The hypotenuse of course is also longer than the long leg, so you have to multiply by 2 to get it. Then for the long leg, the only option is to multiply by √3. The same works in reverse for both of those.
Here, we have the short leg. You can check that with the pythagorean theorem again to be sure:
[tex]a^2+4^2=8^2\\a^2+16=64[/tex]
Because 16 is less than half of 64, a has to be the longer leg. Using the rules above, multiply the short leg by √3 to get the answer:
[tex]4 * \sqrt{3} \\4\sqrt{3}[/tex]
Same answer as the previous method.
Suppose that $50,000 is invested at 9% interest. Find the amount of money in the account after 8 years if the interest is compounded annually.
Answer:
50,000(1+0.09)^8
50000(1.99256)
A=99,628.13
How many solutions does this equation have
-4(5-3x)=12x+20
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
A) no solution
Step-by-step explanation:
It’s A Contradiction
Answer:
its one solution
Step-by-step explanation:
-20+12
Mr. Haynes wants to expand his rectangular living room to make room for an indoor theater system. He asks the contractor to make the width of the room 5 feet longer and he wants the length of the room to be 5 feet longer than twice the width. When finished the new room will have a perimeter of 140ft around. The new dimensions of the room will be
Step-by-step explanation:
check the image for detailed solution
Help me with question 9
Answer:
a) 5.25m^2
b) 1 can
Step-by-step explanation:
a)
area of a triangle = bh/2
=(4.2 x 4.5)/2
=18.9/2
=9.45m^2
area of a rectangle = 2(l+w)
=2 x (0.6 + 1.5)
=4.2m^2
9.45-4.2 = 5.25m^2
b) 1 can, you can't have a partial can of paint
Which of the following Venn diagram represents two sets with no common elements?
The Venn Diagram B, C and D, all represents two sets with common elements.
In B, the circle F is inside the circle G, so F share all of its elements with G. It is like a baby inside the belly of her mother :)
In C, F and G circles intersect and the intersection is their common space, and
the D is like the B.
But A reprents two sets F and G with no common elements. So the answer is A.
Good Luck
Which of the following statements best describes why the given expression is not simplified?
3x^2–2x+1 - 4x - 6
Answer:
3x²–6x–5
Step-by-step explanation:
3x²–2x+1–4x–6
collect like terms
3x²–2x–4x–6+1
3x²–6x–5
In a group of 84 kids, three-sevenths bought their lunches.Of those who bought their lunches got a slice of pizza? Write your fraction in simplest form
Answer:
There's not enough information to answer the question.
Step-by-step explanation:
The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.
Match the equation to the type of solution.
3=3 A. One solution
x=0. B. No solution
4=-2. C. Infinite many solutions
720 is what percent of $800?
the answer is 90 hope this help.
If each rabbit consumes 10 pounds of rabbit food each year, then how much rabbit food is consumed in 10 years
Answer:
100 pounds in 10 years
Step-by-step explanation:
10 pounds per year for 10 years
We simply multiply 10 pounds to 10 years to get 100 pounds
-Chetan K
a scale diagram, 0.125 inch represe
5 feet. How many inches represent
pot?
0.001
0.01
0.1
0.12
Math
Answer:
the scale diagram is 9.12
The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?
Answer:
letter A.g(x)=x2+b that's the answer cause g(x) is in the positive
Plsss helppppppp tyyyysmmmm
Answer:
Step-by-step explanation:
x = 180 - 117 = 63°
y = 360 - 63 - 86 - 98 = 113°
Sum of angles along a line about a point on the line is 180°
Sum of internal angles on a quadrilateral is 360°
Dependent Task:
Directions: Write the place value and the value of the underlined digit.
Number PLACE OF VALUE VALUE
1. 0.345 _____________ _____
2. 0.3469 _____________ _____
3. 0.6ó54 _____________ ______
(UNDERLINED DIGIT)
1. 5
2.3
3.4
please
Answer
Use your mind
Nobody wants to help you, especially since you are no help to others.
A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(4)= P(not 4)=
Answer:
Step-by-step explanation:
Total Number of possible outcomes = 52
Getting a jack from a deck of 52 cards for a certain event (A) = 4
The Probability (A) = 4/ 52
= 1 / 13 = 0.07
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Allison is buying two birthday cards for $5.78. Sales tax on the two cards is $0.38. Including sales tax, what is the cost of each card?
1. $2.89
2. $3.27
3. $3.80
4. $3.08
Answer:
1.$2.89
Step-by-step explanation:
1/3 off $ 0.38 $ 0.25
2 for 1 at $ 5.78 $ 2.89
A campus survey states that 40% of students ride the bus if there are 300 students how many ride the bus?
Answer: 180 students
Step-by-step explanation:
I need help as soon as possible please!!!!
Answer:
Which grade math is this? I haven't learned it
5. The coordinate increments from (4, 3) to (9, 7) are :
6. The coordinate increments from (- 6, - 4) to (12, - 9) are:
7. The coordinate increments from (10, - 7) to (14, - 9) are: are:
8. The coordinate increments from (- 47, - 10) to ( 17 , 8) are:
Answer:
the correct answer is 8
Step-by-step explanation:
Answer:
5. Is "+" 6. is "-" 7. is "+" 8. is "-"
Step-by-step explanation:
This image shows that when a football is kicked, the nearest defensive player is 6 feet from the kicker’s foot. The height of the punted football, f(x), in feet, can be modeled by the equation. Round all answers to 2 decimals. ()=−0.0152 +1.25+2 a. (2 points) What is the maximum height of the punt?
Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.
The height of the punt, after x seconds, is given by:
[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]
It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].
The maximum value is the value of the function at the vertex, hence:
[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Applying the coefficients:
[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]
The maximum height of the punt is of 27.7 feet.
A similar problem is given at https://brainly.com/question/16858635