Each share in the software company costs approximately $5,195.14 and each share in the biotech firm costs approximately $5,137.15.
Explanation:To find out how much each share costs, we need to solve a system of equations. Let's call the cost of each share in the software company 'x' and the cost of each share in the biotech firm 'y'.
From the given information, we know that Dean purchased 14 shares in each company for a total cost of $812. This gives us the equation 14x + 14y = 812.
Similarly, Carrie invested a total of $5,767 in 100 shares in the software company and 99 shares in the biotech firm. This gives us the equation 100x + 99y = 5,767.
Now, we can solve this system of equations using either substitution or elimination method.
Using the elimination method, multiply the first equation by 99 and the second equation by 14 to make the coefficients of 'x' in both equations equal:
1386x + 1386y = 79861400x + 1386y = 80718Now subtract the first equation from the second equation:
(1400x + 1386y) - (1386x + 1386y) = 80718 - 798614x = 72732Divide by 14 on both sides to find the value of 'x':
x = 72732 / 14x = 5195.14Now substitute the value of 'x' back into one of the original equations to find the value of 'y'. Using the first equation:
14(5195.14) + 14y = 81272732.08 + 14y = 81214y = -71920.08y = -71920.08 / 14y = -5137.15Therefore, each share in the software company costs approximately $5,195.14 and each share in the biotech firm costs approximately $5,137.15.
36 divided by 6a I’m confused plz help
Answer: 6
Step-by-step explanation:
Which line is the graph of y = -2x + 2?
line a
line b
line c
line d
Answer:
The Answer is Line B
Step-by-step explanation:
the points that make up the graph is ( 0,2) and (1,0)
Answer:
Line B
Step-by-step explanation:
what ordered pair is a solution for y-4=7(x-6)
Answer: People don't get confused by this guy the answer is basically clear its neither trust me guys.
Find the value of the expression 21 - 2a if a = 3
Answer:
15
Step-by-step explanation:
Substitute in the values
2 X 3 = 6
21 - 6 =15
To find the value of 21 - 2a when a = 3, substitute 3 for a and simplify to get 21 - 6, which equals 15.
Explanation:The student has asked to find the value of the expression 21 - 2a given that a = 3. To solve for the expression, substitute the value of a into the expression:
21 - 2(3) = 21 - 6 = 15.
Therefore, the value of the expression when a is 3 is 15.
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The perimeter of the triangular park on the right is 16x-6. What is the missing length? The bottom side length is 5x+4 and the right most side is 2x-5
Answer:
[tex](9x-5)\ units[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The perimeter of a triangle is the sum of the length of their three sides
so
[tex]P=a+b+c[/tex]
where
a,b,c are the length sides of the triangle
In this problem we have
[tex]P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units[/tex]
substitute and solve for the missing length
[tex](16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units[/tex]
Please help. There is a file included.
Answer:
0
Step-by-step explanation:
8 + - 4 - 4
(goes in the 2nd box)
0
(goes in the last empty box)
I'm solving for x, but I'm not confident with my work. I feel like x should be smaller than the other side (121) but I got a result much larger than it. Can someone help?
You have the ratios set up but you need to cross multiply everything:
(5x + 10) x 11 = 121 x 10
55x + 110 = 1210
Subtract 110 from both sides:
55x = 1100
Divide both sides by 55:
X = 1100 / 55
X = 20
what does AE equal?
Answer:
70
Step-by-step explanation:
BD is 1/2 the size of AE which is derived from the property of midpoints and the parallel lines.
Therefore if BD = 35, AE is twice as long.
AE = 70
The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours
spent exercising.
The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the
number of hours spent exercising.
What is (f + g)(2)? Explain.
A. 214 burned just exercise 2 hours
B. 214 burned exercise and
diet 2 hours
C. 343 burned dieting 2 hours
D. 343 burned exercise and diet 2 hours.
The true statement about (f + g)(2) is (D). 343 burned exercise and diet 2 hours.
The functions are given as:
f(x) = 2x+ 210
g(x) =2x + 125
Start by calculating (f + g)(x) using:
(f + g)(x) = f(x) + g(x)
So, we have:
[tex](f + g)(x) = 2x + 210 + 2x + 125[/tex]
This gives
[tex](f + g)(x) = 4x + 335[/tex]
When x = 2, we have:
[tex](f + g)(x) = 4*2 + 335[/tex]
[tex](f + g)(x) = 343[/tex]
This means that 343 calories were burned by exercising and dieting for 2 hours
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For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range. (2 points)
1) The vertex is (1, 2), the domain is all real numbers, and the range is y > 2.
2) The vertex is (1, 2), the domain is all real numbers, and the range is y s 2.
O3) The vertex is (-1, 2), the domain is all real numbers, and the range is y 2 2.
4) The vertex is (-1, 2), the domain is all real numbers, and the range is y s 2.
Answer:
2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
Look at the photo below for the graph.
:)
is 0.02 greater that 1/50
Answer:
No and yes.
Step-by-step explanation:
Turn both to percentages. Move the decimal point over two spots to the right, making 2%. Multiply the fraction by 2 to get 2/100. PerCENT. A dollar is 100 cents. The fraction as a percentage is 2%. They are equal.
Yes, 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
Explanation:
0.02 can be represented as [tex]\( \frac{2}{100} \)[/tex], which simplifies to [tex]\( \frac{1}{50} \)[/tex].
Since [tex]\( \frac{2}{100} \)[/tex] is greater than [tex]\( \frac{1}{50} \)[/tex], it follows that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
Step-by-step explanation:
1. Convert 0.02 to a fraction: [tex]\( 0.02 = \frac{2}{100} \)[/tex].
2. Compare [tex]\( \frac{2}{100} \)[/tex] with [tex]\( \frac{1}{50} \)[/tex].
3. Simplify [tex]\( \frac{2}{100} \) to \( \frac{1}{50} \)[/tex].
4. Since [tex]\( \frac{1}{50} \)[/tex] is smaller than [tex]\( \frac{1}{50} \)[/tex], we conclude that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
What is the product of 1/2×32
Answer:
The product of 1/2*32 is taking 32/2
Half of 32 is 16
Product of 1/2*32=16
Hope this helps ;)
Answer:
16
Step-by-step explanation:
when you multiply buy a fraction you will end up with half of the one of the things you were multiplying this means that half of 32 is 16 so 16 is your answer if you need help on understanding how to multiply fractions think of it like this
1/2 x 32= 32 divided by 2
both ways will give you the same answer
hope this helps better your understanding
markdown $20 by [tex][/tex]7%
The final discounted price is $18.6
Step-by-step explanation:
In this problem we have to decrease the value of $20 by 7%.
First of all, we have to calculate the 7% of $20. We can do it as follows:
[tex]d=\frac{7}{100}\cdot 20 = 1.4[/tex]
This means that the 7% of $20 is 1.4$.
Now we want to decrease the original value by 7%, so we calculate the difference:
[tex]f=20 - d = 20-1.4=18.6[/tex]
So, the final discounted price is $18.6
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Omar made $299 for 13 hours of work.
At the same rate, how many hours would he have to work to make $253?
Answer:
The answer is (11 hours)
Step-by-step explanation:
I first divided 299 by 13 hours to find the rate.
I got the dividend of 23.
All you do now is add $23 per hour.
Once you add 11 hours of this rate. You'll get the sum of $253.
Solving for the amount of hours by cross multiplication
money/hours=money/hours
$299/13hours=$253/x hours
[tex]\frac{299}{13} =\frac{253}{x} \\\\23=\frac{253}{x} \\\\23x=253\\\\x=253/23\\\\x=11[/tex]
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
A semi-truck can hold 8,500 pounds of cargo. How many tons can it hold?
Answer:4.25 tons
Step-by-step explanation:
Use the figure. Identify a segment that intersects Ef.
Answer:
[tex]\overline{FG}[/tex]
Step-by-step explanation:
When two line segments intersects, then they have a common point.
From the diagram FG intersects EF
Also HG intersects EF
From the given options, the correct answer is [tex]\overline{FG}[/tex]
Therefore the first choice is correct
Helpp Image attached
The area of new circle is 5625π square inches.
Step-by-step explanation:
Given,
Area of circular plate = 625π square inches
Let,
Radius = r
Area of circular plate = πr²
[tex]\pi r^2=625\pi[/tex]
Dividing both sides by π
[tex]\frac{\pi r^2}{\pi}=\frac{625\pi}{\pi}\\\\r^2=625[/tex]
Taking square root on both sides
[tex]\sqrt{r^2}=\sqrt{625}\\r=25[/tex]
The radius of plate is 25 inches.
When the radius is tripled = 25*3 = 75 inches
New area of circle = πr²
New area of circle = [tex]\pi (75)^2\\[/tex]
New area of circle = [tex]5625\pi[/tex] square inches
The area of new circle is 5625π square inches.
Keywords: circle, area
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Help! Rewrite the expression using the LCD
Answer:
1st one is A
2nd is B
EDGE
Which statement describes the congruent triangles?
Triangles W Z X and Z Y X. Sides W Z and X Y are congruent, sides Z Y and W X are congruent, and sides Z X are congruent.
Triangle W X Z is congruent to triangle Y Z X
Triangle W X Z is congruent to triangle Y X Z
Triangle W X Z is congruent to triangle X Y Z
Triangle W X Z is congruent to triangle Z Y X
Answer:
Triangle W X Z is congruent to triangle Z Y X
Step-by-step explanation:
2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent .The two triangle are said to be the mirror image of each other.In the simple case above the two triangles WXZ and ZYX are congruent because every corresponding side has the same length, and every corresponding angle has the same measure.
Answer:
its acctually Triangle W X Z is congruent to triangle Y Z X
Step-by-step explanation:
I need help on this:(
Answer:
Not to sure if this is correct but I think it is 6: 1 : 18
pls msg me if you need explanation
There will be 25 party guests. 8
pieces of pizza dough come in a
package. How many packages do
I need to buy?
Does 5 go into 100 equally
Solve the equation. Write solutions using integers or simplified fractions. 5−(y−3)=14−4(y+2)
of course the answer is Y=. - 2/3
Answer:
-2/3
Step-by-step explanation:
5 − (y−3)=14− 4 (y+2)
Expand
5 - y + 3 = 14 - 4y - 8
Collect like terms
-y + 4y = 14 - 8 - 5 -3
(-1 + 4)y = - 2
3y = -2
Divide both sides by 3
3y/3 = -2/3
y = -2/3
I hope this was helpful, Please mark as brainliest
A circle with radius of 6 cm sits inside a circle with radius of 9 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
Equation for the area of a circle- π r²
The 2 radiuses are 6 and 9.
6 squared is 36 and 9 squared is 81.
The smaller one is 36π and the larger one is 81π.
The difference between them is the area of the shaded region.
81π - 36π = 45π
Use 3.14 for π.
45 x 3.14 = 141.3 u²
Hope this helps!
A circle is a curve sketched out by a point moving in a plane. The area of the shaded region is equal to 141.37 cm²
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the shaded region can be found by subtracting the area of the larger circle from the area of the smaller circle. Therefore, the area of the shaded region is,
Area = π(9 cm)² - π(6 cm)²
= 141.37 cm²
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Mario says that the expression 4+3n² has four terms: 4, 3, n, and 2. Is he correct? explain.
_______________________________________________________________________________________________________________________________________
Mario says that the expression [tex]4+3n^2[/tex] has four terms: 4, 3, n, and 2. Mario is incorrect
Solution:
Given that the expression is:
[tex]4+3n^2[/tex]
Given that, Mario says that the above expression has four terms
But Mraio is incorrect
Because the given expression has two terms only
4 is one of the term
[tex]3n^2[/tex] is another term
So there are totally 2 terms only
A term can be a signed number, a variable, or a constant multiplied by a variable or variables
Here 3 is a constant multiplied by [tex]n^2[/tex]
So, [tex]3n^2[/tex] is one term
Each term in an algebraic expression is separated by a + sign or - sign
Thus there are two terms in mario expression
What is the solution to this polynomial equation? x3 + 2x2 - 4x - 8 = 0
Final answer:
The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, which yields the solutions x = -2 and x = 2.
Explanation:
The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, using synthetic division, or by using numerical methods such as graphing or using a calculator. Let's use factoring to find the solution.
We can begin by factoring out the greatest common factor, which is 1:
x³ + 2x² - 4x - 8 = (x + 2)(x² - 4)
We can further factor the quadratic term using the difference of squares:
(x + 2)(x + 2)(x - 2) = 0
So, the solutions to the equation are x = -2 and x = 2.
The theoretical probability of choosing a red grape from a
bag of grapes is 2/9. There are 8 red grapes in the bag. How
many grapes are in the bag?
Answer:36
Step-by-step explanation: if 2 out of 9 or red and there are 8 red that means that divide 8 by to get 4 * 9 + 36
By using the theoretical probability formula, the total number of grapes in the bag is 36
ProbabilityFrom the question, we are to determine how many grapes are in the bag
Let the total number of grapes in the bag be x
From the probability formula,
[tex]P(A) = \frac{Number\ of\ favorable \ outcomes \ to \ A }{Total\ number\ of\ possible\ outcomes}[/tex]
Let R represent red grapes,
Then,
[tex]P(R) = \frac{Number\ of\ favorable \ outcomes \ to \ R }{Total\ number\ of\ possible\ outcomes}[/tex]
From the given information,
P(R) = 2/9
Number of favorable outcomes to R = 8
Therefore,
[tex]\frac{2}{9} = \frac{8}{x}[/tex]
2x = 9 × 8
2x = 72
x = 72 / 2
x = 36
Hence, the total number of grapes in the bag is 36.
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what is y+7= -1/2 (x-6)
Answer:
Step-by-step explanation:
y + 7 = -1/2(x - 6)
y + 7 = -0.5x +3
y = -0.5x - 4
Answer:
y=-1/2x-4
Step-by-step explanation:
first distribute the -1/2 into both terms in the parentheses. next solve for y by subtracting 7 from both sides. combine like terms
chevy have some yarn that he wants to use to make hats and scarves. each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. chevy wants to make a total of 15 items. let h be the number of hats chevy makes and s be number of scarves he makes.
Answer:
[tex]The\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k\\\\Where\ k\ is\ total\ yarn\ in\ kg.\\\\If\ k=2\ kg\\\\h=5\ hats,\ s=10\ scarves[/tex]
Step-by-step explanation:
[tex]Number\ of\ hats=h\\\\Number\ of\ scarves=s[/tex]
Total Number of items:
[tex]Total\ items=15\\\\Total\ number\ of\ items=Number\ of\ hats+Number\ of\ scarves\\\\Total\ Number\ of\ items=h+s\\\\h+s=15.......................................eq(1)[/tex]
Total yarn used:
[tex]Yarn\ used\ in\ 1\ hat=0.2\ kg\\\\Yarn\ used\ in 1\ scarf=0.1\ kg\\\\Yarn\ used\ in\ hats=Yarn\ used\ in\ 1\ hat\times Number\ of\ hats\\\\Yarn\ used\ in\ hats=0.2\times h=0.2h\\\\Yarn\ used\ in\ scarves=Yarn\ used\ in\ 1\ scarf\times Number\ of\ scarves\\\\Yarn\ used\ in\ hats=0.1\times s=0.1s\\\\Total\ yarn\ used=0.2h+0.1s\\\\If\ total\ yarn=k\ kg\\\\Solution\ of\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k[/tex]
[tex]if\ k=2\\\\h+s=15...............eq(2)\\\\0.2h+0.1s=2.......eq(3)\\\\eq(2)-0.2\times eq(3)\\\\0.1s=1\\\\s=10\\\\From\ eq(2)\\\\h=15-s\\\\h=5\ hats[/tex]
On a coordinate plane, is translated 3 units up and 3 units to the right to create Line p is drawn through P and and Line q is drawn through Q and Which statement about Lines p and q is true?
Lines p and q are parallel.
Lines p and q are perpendicular.
Lines p and q have the same x-intercept.
Lines p and q have the same y-intercept.
Answer:
Lines p and q are parallel
Step-by-step explanation:
1) Completing the question:
On a coordinate plane, is translated 3 units up and 3 units to the right to create ′′. Line p is drawn through and ’, and Line is drawn through and ’. Which statement about Lines and is true?
2)
If PQ (x, y) according to that rule then P'Q' (x+3, y+3). So let's plot to answer the question. Setting numbers for,x and y.
3) As you can see below, since we add 3 units to the right and 3 units up then no x-coordinate must be the same, no y-coordinate must remain the same. In addition, p and q won't have the same intercept, neither x nor y.