The amount Reiko invested in x shares is 1,700,000 based on 8% annual dividend
How do represent the amounts invested in each share?
The fact that Reiko invested 200,000 more on x shares means that if we assume that he invested Z on y shares then the amount invested in x shares is Z+200000
return on x shares=(Z+200,000)*8%
return on x shares=0.08Z+16000
return on y shares=Z*9%=0.09Z
total return=0.08Z+16000+0.09Z
total return=0.17Z+16000
total earnings=271000
271000=0.17Z+16000
271000-16000=0.17Z
255000=0.17Z
Z=255000/0.17
Z=1,500,000
Z+200,000=1,500,000+200,000=1,700,000
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3. Larry made a list of his assets and liabilities
and determined his net worth. He got a
bonus at work and paid off his credit card
debt and student loan. What is his net worth
after he made these two payoffs?
Item
Value (S)
cash
875.00
764.00
1,022.00
6,500.00
2,896.00
3,800.00
2,500.00
1,299.00
clothes
jewelry
savings
credit card debt
car payoff
student loan
motorcycle payoff
2.7(k - 8) -6.8=-4.1
Answer: k = 9
Step-by-step explanation:
(Add 6.8 to both sides.)
2.7(k-8)=-4.1+6.8
(Simplify -4.1+6.8 to 2.7)
2.7(k-8)=2.7
(Divide both sides by 2.7)
k-8=1
(Add 88 to both sides.)
k=1+8
(Simplify 1+8 to 9)
k=9
This morning, Milan's car had 19.57 gallons of fuel. Now, 3.8 gallons are left. How much fuel did Milan use?
gallons
X
S
Answer: 15.77
Step-by-step explanation: We know that Milans car had 19.57 gallons of fuel, so I subtracted 19.57 - 3.8 to get my answer.
Need answer asap please & thanks
Tori's pay for the week will be $273.75 .
Tori's per hour earning = $12.50
Suppose Tori work 30 hours a week in her part time job.
Then, Total working hour in a week = 30 Hours
Total earning in a week = $12.50 × 30
= $375
Tax deduction from Tori's paycheck = 27% of Total earning
= 27/100 × 375
= $101.25
Tori's pay for the week = Total earning - Tax deduction
= $375 - $101.25
= $ 273.75
Thus, Tori's pay for the week after deduction of taxes is $273.75.
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Using the divisibilty rule put a check on the blank if the second number is a factor of the first number
436 4__
263 12__
2328 8__
346 4__
114 11__
Option (1) and (3) follows the divisibility rule.
The divisibility rule is a kind of shortcut that allows you to determine whether a given integer is divisible by a divisor by looking at its digits without going through the whole division process. Multiple divisibility rules can apply to the same number, allowing you to quickly determine its prime factorization. A divisor of a number is an integer that divides the number completely without leaving a remainder. Divisible by 4 - The number formed by the last two digits of the number must be divisible by 4 or 00. Divisible by 8 - Numbers formed from the last three digits of a number must be divisible by 8 or be 000. Divisible by 11 – The difference between the sums of the alternate digits of the number is divisible by 11. Divisible by 12 - Numbers that are divisible by both 3 and 4.109
(1) 4 [tex]\sqrt{436}[/tex]
-4
036
- 36
0
As the remainder is zero , it is divisible .
(2) 21
12[tex]\sqrt{263}[/tex]
- 24
23
- 12
11
As the remainder is 11 , it is not divisible .
(3) 291
8[tex]\sqrt{2328}[/tex]
-16
72
- 72
08
- 8
0
As the remainder is 0 , it is divisible .
(4) 86
4[tex]\sqrt{346}[/tex]
-32
26
- 24
2
As the remainder is 2 , it is not divisible
(5) 1
11[tex]\sqrt{114}[/tex]
- 11
4
As the remainder is 4 , it is not divisible
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WORTH 72 POINTS MATH PROBLEM
The transformation rule is; move the function f(x) by 4 units downwards and then by 2 units to the left.
What is the Transformation of the given Graph?
Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightThe point on f(x) given has the coordinate (7, 5).
Now, we want to transform the point on f(x) to a point on g(x) with the coordinate (5, 1).
Thus, to get this, the transformation rule is;
(x, y) = (x - 2, y - 4)
Thus, this means move the function 4 units downwards and then by 2 units to the left.
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The isosceles
triangle theorem states that if two sides
congruent, then the angles opposite those sides are
of a triangle are
Answer:
If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.
Step-by-step explanation:
Congruent/Congruency: having the same size and shape congruent triangles.
Theorem 1: If a line is drawn parallel to one side of a triangle to intersect the midpoints of the other two sides, then the two sides are divided in the same ratio.
I hope this helped, have a great day <3
Joe made a scale drawing of the community pool in his town.
The scale drawing is shown below.
If the scale factor is 1in : 7 m
What is the perimeter of the actual pool
The actual length and actual width in meters of the community pool are respectively; 28 meters and 10.5 meters
How to Interpret Scale Drawings?In the scale drawing of Joe as attached, we see that the community pool has a length to width ratio of;
(length : width) = 8 : 3
Let the actual length of the pool be 8x meters and the actual width be 3x meters.
We are told that the actual pool has a perimeter of 77 meters.
Thus;
2(8x + 3x) = 77
22x = 77
x = 3.5
Therefore, the length of the pool is 8x = 8(3.5) = 28 meters.
The width of the pool is 3x = 3(3.5) = 10.5 meters
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Complete Question is;
Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width in meters?
Jay and Ted observed two points, P and Q, on a number line. A number line is shown from negative 1 to positive 1 with increments of 1 over 8. The numbers negative 1, negative 6 over 8, negative 4 over 8, negative 2 over 8, 0, 2 over 8, 4 over 8, 6 over 8 are labeled on the number line. A point P is shown at the first tick mark to the left of 0, and a point Q is shown at the first tick mark to the right of 0. Jay said that the absolute values of the numbers represented by the two points are the same. Ted said that the absolute values of the numbers represented by the two points are different. Which of the following explains who is correct? Jay, because each point is fraction 1 over 8 unit from 0 Jay, because the distance between the points is fraction 1 over 8 unit Ted, because the points are on different sides of 0 Ted, because the points are at different locations on the number line
The statement that explains who is correct is "Jay because each point is fraction 1 over 8 units from 0." Option A
This is further explained below.
Which of the following explains who is correct?Generally, Begin from zero and make your way to point P. To do this, we will simply shift our position leftward 1/8 of a unit. In a similar manner, in order to go from 0 to point Q, we will travel 1/8 of a unit.
Therefore, the distance from point P to zero is the same to the distance from point Q to zero.
Since this is the case, the absolute values are identical.
In conclusion, Jay is accurate since each point is 1/8 of a unit distant from 0; this distance may be calculated.
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how much more does $1,000 earn in 8 years
Answer:
ur question doesnt make sense
Step-by-step explanation:
Find the value of x.
Answer:
x=8
Step-by-step explanation:
8x-6=58
58+6
64 because u must get rid of numbers for x, but you get rid of numbers father then x
8x=64
64/8
x=8
hope this helps!
Answer:
x=8
Step-by-step explanation:
10 cm of a normal specimen of human blood contains 1.2
g of hemoglobin. How many grams does 36 cm³ of the
same blood contain?
The 36cm of specimen will contain an amount of 4.32 grams of blood.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that 10 cm of a normal specimen of human blood contains 1.2 g of hemoglobin. The amount of hemoglobin in 36 cm will be calculated as below:-
10 cm = 1.2g
1 cm = 1.2 / 10 = 0.12 g
36 cm = 36 x 0.12
36 cm = 4.32 grams
Therefore, the 36cm of specimen will contain an amount of 4.32 grams of blood.
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PLEASE ANSWERING THIS QUESTION QUICKLY!
Give the equation of the line passing through the point (-2,3) that is parallel to y=-2x+3.
Write your answer in Slope-Intercept Form.
Show your work!
No incorrect answers!
No nonsense answers!
Explain your answers!
Thanks!
Step-by-step explanation:
parallel: -2
y - 3 = -2(x + 2)
y - 3 = -2x - 4
y = -2x - 1
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - -
[tex]\textsf{Parallel lines have the same slope. Since the slope of the given line is -2,}\\\textsf{The slope of the line that is parallel to \textbf{y=-2x+3} is also -2.}[/tex]
[tex]\textsf{Next, we need to use the \textbf{Point-slope form} equation to find the}\\\textsf{ required equation of the line.}[/tex]
[tex]\textsf{Point-slope form:}[/tex]
[tex]\sf{y-y_1=m(x-x_1)}[/tex][tex]\bold{\underline{Setting\:the\:values:}}[/tex]
[tex]\sf{y_1=3}[/tex][tex]\sf{m=-2}[/tex][tex]\sf{x_1=-2}[/tex][tex]\bold{\underline{Plugging\:in\:the\:values:}}[/tex]
[tex]\sf{y-y_1=m(x-x_1)}[/tex][tex]\sf{y-3=-2(x-(-2)}[/tex][tex]\sf{y-3=-2(x+2)}[/tex][tex]\sf{y-3=-2x-4}[/tex][tex]\sf{y=-2x-4+3}[/tex][tex]\sf{y=-2x-1}[/tex][tex]\textsf{Done! Our answer is y=-2x-1.}[/tex][tex]\Large\overbrace{\underbrace{\bold{Reflection - RoSe}}}^\star_\star[/tex]
Write a sequence that has the stated property.
The 2nd difference of the sequence can be modeled with the expression 2x-3.
The sequence that can be modeled by the expression is T(n+1) = Tn + 2x - 3 where n >= 1
How to determine the sequence that can be modeled by the expression?The expression of the first difference is given as
2x - 3
Rewrite properly as
d = 2x - 3
Where the common difference is represented by d
The second difference of an arithmetic sequence is calculated as
d = T3 - T2
So, we have
T3 - T2 = 2x - 3
Add T2 to both sides of the equation
So, we have
T3 = T2 + 2x - 3
Express 3 as 2 + 1
So, we have
T(2+1) = T2 + 2x - 3
Express 2 as n
So, we have
T(n+1) = Tn + 2x - 3 where n >= 1
Hence, the sequence that can be modeled by the expression is T(n+1) = Tn + 2x - 3 where n >= 1
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make 40,50,40,20 and 15 into 100
solution:
Answer:
40,40,20
Step-by-step explanation:
40+40+20=100
Answer:
20 + 40 + 40 = 100
50 * (40/20) = 100
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)?
Group of answer choices
Subtract 7 from –5.
Multiply 8 and 3.
Divide 7 by 2.
Add 6 and –5.
Answer:
12 24 3.5 1
Step-by-step explanation:
12
24
3.5
1
= 40.5 as your answer
I need help we just started learning I need the answer asap
Answer:
290
Step-by-step explanation:
this is long division. (N.B: any number that you get after dividing it by nine, put it in the boxes at the top). Nine cannot go into 2 therefore you would go to the next number and you get 26 and then divide the 26 by 9. When you divide 26 by 9 your answer will be 2 but two multiplied by 9 is 18 and not 26, therefore you will minus the 18 from the 26 as it is shown above and your answer will be 8 so you should write 8 under the 8 that is under the 6 and carry down number 1. Then you will get 81 and you should then divide 81 by the 9. 9 into 81 goes 9 times therefore you next answer is nine. then you minus the answer you would get when you multiply 9 by 9 from 81 which would be equal to 0. 9 into 0 gives you 0 so the answer you would put in the last box is 0. therefore your final answer is 290.
at the supermarket you can fill your own honey bear container. a customer buys 12 oz of honey for $5.40
The price of the honey per ounce will be $0.45 per ounce.
How to calculate the value?From the information given, at the supermarket you can fill your own honey bear container and a customer buys 12 oz of honey for $5.40
Therefore, the price per ounces will be:
= Total price / Number of ounces
= $5.40 / 12
= $0.45 per ounce
Therefore, the price of the honey per ounce will be $0.45 per ounce.
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Un club de rentar películas cobra una membresía mensual de $15 y cobra 2$ por cada película rentada Si n representa el número de películas rentados en mayo entonces el cargo para este mes puede ser representado por
Based on the cost of membership per month and the number of movies rented, the charge for the month of May can be represented as 15 + 2n.
What is the charge for the month?The movie rental club charges a flat $15 for membership per month.
The movies rented incur a charge of $2 per rental.
The total cost for May and any other month is:
= Membership fee + 2 x number of movies rented
Number of movies rented is n so the equation for the cost of May is:
= 15 + 2n
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What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?
Given that problem as follows:
Solve x,
⇒ −3(6−2x)≥4x+12
First we must simplify the inequality
Inequality means:
With inequalities, we use "less than or equal to": ≤ or "greater than or equal to": ≥ to include the endpoint of the interval.
Multiply the values, then
⇒ −18+6x≥4x+12
⇒ 6x-4x≥12+18
Subtract the 'x' values
We can write,
⇒ 2x≥12+18
Add the 12+18=30
We can write,
⇒ 2x≥30
⇒ x≥30/2
⇒ x≥15
From this, it can be seen that as long as x is equal or more than 15, then it will satisfy the equation.
In mathematical expression, that means [15, ∞). Thus, the answer is [15, ∞).
Therefore,
[15,∞) interval includes all possible values of x, where –3(6 – 2x)≥4x+12
So, the answer is [15,∞).
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What is the equation of a line that passes through the points (5,6) (4,3)
(PLEASE HURRY)
Answer: y=3x-9
Step-by-step explanation:
Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the weight of each banana?
1 Over 12 of a pound
1 Over 9 of a pound
One-fourth of a pound
One-third of a pound
3 banana=(3÷4×#469.41)
Note:a pound is equal to 469.41 naira.
3=3×117.60
3=352.8
Then,352.8 ÷3
=117.6
help me with math hw
The value of T will be√74.1
The number line contain point T as shown in the figure. The number line has 7, 8, and 9 marked
There is line in the middle of point 8 and 9
Point T is located away from 8.5.
Since 8 is the square root of 64. And number 9 is the square root of 81. So the 64 and 81 are the perfect square number.
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 32 and can be written as 3 × 3.
Since 8.5 is not a perfect square number so it must be a square between the number 64-81.
Point T is located away from 8.5
So therefore the answer will be √74.1
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3
A line passes through the point (6, -6) and has a slope of
-3/2
Write an equation in slope-intercept form for this line.
Answer: y= -3/2x+3
Step-by-step explanation:
See attached work
Find the length of each arc. Round your answers to the nearest tenth.
Based on the calculations, the length of the arc of this circle is equal to: C. 11.5 ft.
What is an arc?In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.
How to calculate the length of the arc?In Mathematics, if you want to calculate the length of an arc formed by a circle, you will divide the central angle that is subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle.
Mathematically, the length of an arc formed by a circle is given by:
Arc length = 2πr × θ/360
Where:
r represents the radius of a circle.θ represents the central angle.Substituting the given parameters into the formula, we have;
Arc length = 2 × 3.142 × 11 × 60/360
Arc length = 11.520 ≈ 11.5 feet.
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help, I'm very lost. I dont know what to do.
Answer:
x=11
Step-by-step explanation:
(3x-1)+(6x-8)= 90
9x- 9= 90
+9 +9
9x=99
/9 /9
x=11
Sana works 40 regular hours per week at a local store. She earns $11.15 per hour and receives time-and-a-half pay
for each hour of overtime she works. Last week she worked 46 hours and received a gross pay of $512.90. This
amount is incorrect. How much does Sana's boss owe her?
Sana's boss owe her $36.60 wages more per week at a local store as a gross pay
Last week Sana worked 46 hours
So let us calculate her wages for the last week
For regular 40 hours she earns $11.15 per hour
Her earning for regulars 40 hours = 40× 11.15 = 446
Now we need to calculate her earning for overtime
She overworked for 46 hours less 40 hours= 6 hours
And for every overtime hour she gets one and a half times the original wages
Her overtime wages= 6 hours × $11.15 ×1.5times
= 6 × 11.15 × 1.5
=103.50
So her total earning of last week should be 446+ 103.50 which comes out to be $549.5
Sana is being paid only $512.90 which means Sana's boss owe her $36.60 more
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Is y=- 11 linear or nonlinear?
What is the lowest common denominator of 1/7,1/2,1/4, and 1/6?
Answer:
I think its 48
Step-by-step explanation:
miltiplication/times tables
Which of the following is the symbol for element of?
A. ∅
B. ∈
C. ⊂
D. ⊂
The symbol for element of , is B. ∈.
What is set operation?The set operation involves different operation that is been used in solving problems related to set in , mathematics.
It involves the use of different symbol, such as symbol ∪ which is been employed to denote the union of two sets. , instance of this is when set A ∪ B implies that “A union B” and the set that consists of all elements that can be attributed to both A and B.
In conclusion, the symbol ∈ implies that some element belongs to a particular set A , therefore option B is correct.
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