Answer:
2
Step-by-step explanation:
2.is best possible answer as it.says below 1000...
Answer:
the answer is
x^2 – 2y ≥ 7000
2x + 5y < 1000
so it would be the second option
Step-by-step explanation:
just took the test:)
Rob Herndon, an accountant with Southwest Airlines, wants to retire 50% of
Southwest Airlines bonds by 2028. Calculate the payment Rob needs to make
at the end of each year at 5% compounded annually to reach his goal of paying
off $430,000 in 10 years.
For Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.
What is a future value?A future value refers to a value on a future date based on an assumed growth rate of interest over some period.
The future value can be determined using the FV formula or table.
We can also compute the future value using an online finance calculator as follows:
Data and Calculations:N (# of periods) = 10 years
I/Y (Interest per year) = 5%
PV (Present Value) = $0
FV (Future Value) = $430,000
Results:
PMT = $34,186.97
Sum of all periodic payments = $341,869.70
Total Interest= $88,130.30
Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.
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a washer and dryer cost 750 combined the washer cost $50 more than the dryer what is the cost of the dryer?
Answer:
350$ for dryer
Step-by-step explanation:
x = cost of dryer
x + 50 = cost of washer
750 = x + (x + 50)
750 = 2x + 50
700 = 2x
350 = x
An isosceles triangle has side lengths of 15.6 units and 20.33 units. What is the greatest possible value of the perimeter of the triangle?
Answer:
56.26
Step-by-step explanation:
An isosceles triangle has two sides that are the same length, and one side that is the same length. We have two sizes, so two find the greatest possible perimeter we must assume that the greater size is the value for the two sides, and the smaller size the value for the single side. In other words:
[tex]x = 15.6 + 2(20.33)[/tex]
[tex]x = 56.26[/tex]
Three postal workers can sort a stack of mail in 45 minutes, 25 minutes, and 225 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
If the three postal workers sort the mail together or work in parallel, it will take them 15 minutes.
What is parallel working?Parallel working refers to the system that can process a common task simultaneously by many workers communicating with one another.
When workers perform the same task together, they tend to achieve greater speed, unlike when they work individually without communicating.
Data and Calculations:Time to sort a stack of mail by A = 45 minutes or 1/45
Time to sort a stack of mail by B = 25 minutes or 1/25
Time to sort a stack of mail by C = 1/225
Time for the three workers to sort the stack together = 1/45 + 1/25 + 1/225
= 15 minutes (5 + 9 + 1)
Thus, if the three postal workers sort the mail together or work in parallel, it will take them 15 minutes.
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Devon had 40 video games. He sold 2/5 of them at $500 each.
(a) How many video games does he have left?
(b) of the remaining video games, he sold 3/8 of them for $ 7200 altogether and kept the rest for himself
(I) How many video games did Devon keep for himself?
(ii) what was the selling price of a video game?
(c) Calculate the total amount of the money he received from the sale of the video games.
Using proportions, it is found that:
a) He has 24 videogames left.
b - I) He kept 15 videogames for himself.
b - II) The selling price of a videogame was of $800.
c) He received $15,200 from the sale of the videogames.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Item a:
He has 3/5 of 40 videogames left, hence:
3/5 x 40 = 3 x 8 = 24.
He has 24 videogames left.
Item b:
He kept 5/8 of the 24 videogames, hence:
5/8 x 24 = 5 x 3 = 15.
He kept 15 videogames for himself.
He also sold 9 videogames for $7,200, hence the selling price of one of them is:
7200/9 = $800.
Item c:
Earned $7,200 plus 500 for 16, hence:
T = 7200 + 500 x 16 = $15,200.
He received $15,200 from the sale of the videogames.
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100 POINTS!! Find the indicated angle or side. Give an exact answer.
Find the measure of angle A in degrees.
Answer:
A = 120
Step-by-step explanation:
To find angle A we will need to use the law of cosines, since we know the three sides of the triangle.
a^2=b^2+c^2−2*b*c*cosA
(2 sqrt(13)) ^2 = 6^2 + 2^2 + 2 * 6 * 2 cos A
4*13 = 36 + 4 - 24 cos A
52 = 40- 24 cos A
12 = -24 cos A
-1/2 = cos A
Take the inverse cos of each side
cos^-1(-1/2) = cos^-1(cos A)
120 = Cos A or 240 = Cos A
A cannot be greater than 180 so A = 120
Answer:
A = 120°
Step-by-step explanation:
We can use the cosine rule to solve for angle A, since lengths of all sides are known:
[tex]a^2 = b^2+ c^2 - 2(b)(c) \space\ cos A[/tex]
where a, b, and c are the sides opposites angles A, B, and C respectively.
∴ a = 2√3 , b = 6, c = 2
• Rearranging the formula to make A the subject:
[tex]2(b)(c) \space\ cos A = b^2 + c^2 -a^2[/tex]
⇒ [tex]cos A = \frac{b^2 + c^2 -a^2}{2(b)(c)}[/tex]
⇒ [tex]A = cos^{-1}(\frac{b^2 + c^2 -a^2}{2(b)(c)} )[/tex]
• Now we can substitute the values into the equation to calculate the value of angle A:
[tex]A = cos^{-1}(\frac{6^2 + 2^2 -(2\sqrt{13})^2}{2(6)(2)} )[/tex]
⇒ [tex]A = cos^{-1} (-\frac{1}{2} )[/tex]
⇒ A = 120°
Is finding a car's depreciation over a 10 year period considered as univariate or bivariate?
Determining a car's depreciation over a ten year period is considered a bivariate.
What is a bivariate?
A Bivariate data is made up of two variables that are observed against each other. In determining the deprecation of a car, the cost of the car is observed against the passage of time and the depreciation factor.
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Translate (5, 1) to the right 3 units.
Then reflect the result over the y-axis.
What are the coordinates of the final point?
Answer:
Step-by-step explanation:
Answer
When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right. So when you go right 3 units, add 3 to the 5.
(5 + 3,1) = (8,1)
when going across the y axis, you are still only changing the x coordinate.
All you need do is put a minus sign in front of the x coordinate. So your final answer is (-8,1)
how do you simplify 7v3 . 10uv5 . 8uv3
The simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The complete question is:
How do you simplify:
[tex]\rm 7v^3\cdot \:10u^3v^5\cdot \:8uv^3[/tex]
By using the property of the integer exponent:
[tex]\rm =560v^3u^3v^5uv^3[/tex]
[tex]\rm =560v^{11}u^4[/tex]
or
= 560v¹¹u⁴
Thus, the simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.
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need help with parts 1-6
The value of F(g(1)) will be equal to 0.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
From the given table we can see that the value of f(x) at 1 is 3 and the value of g(x) at 1 is 0.
The value of f(xg(x) at x = 1 will be:-
f(xg(x) = f(x) x g(x)
= 3 x 0
= 0
Therefore the value of F(g(1)) will be equal to 0.
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Which is the graph of y = 2 – square root of x?
On a coordinate plane, a curved line approaches the grid line at (3, 2.3), crosses the y-axis at (0, 1.5) and ends at (negative 2, 0).
On a coordinate plane, a curved line approaches the grid line at (negative 3, 2.3), crosses the y-axis at (0, 1.5) and ends at (2, 0).
On a coordinate plane, a curved line approaches the grid line at (3, 0.3), and ends at (0, 2).
The graph of [tex]y = 2 - \sqrt x[/tex] is (c) a curved line that passes through points (0,2) and (3,0.3)
How to determine the graphThe function is given as:
[tex]y = 2 - \sqrt x[/tex]
The above function is a square root function.
This means that the domain is [tex]x \ge 0[/tex]
The domain implies that options (a) and (b) are false, because they include negative x values
For option (c); set x= 0 and 3
[tex]y = 2 - \sqrt 0 = 2[/tex]
[tex]y = 2 - \sqrt 3 = 0.3[/tex]
This means that the graph of [tex]y = 2 - \sqrt x[/tex] is a curved line that passes through points (0,2) and (3,0.3)
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The correlation coefficient for two sets of numbers that are perfectly negatively correlated is
The correlation coefficient for two sets of numbers that are perfectly negatively correlated is -1.
What is negative correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases.
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At the beginning of the week, you have $1250.33 cents in your checking account. During the week you spend $184.59 on food, $645.50 on rent and $112.11 on clothing. You get paid $323.89 during this week. How much money will be in your bank account at the end of the week?
Answer:
ending balance = $623.02
Step-by-step explanation:
Amounts you spend get subtracted from your bank balance. Amounts you earn get added.
Bank balanceYour ending balance is ...
ending balance = beginning balance - expenses + earnings
ending balance = $1250.33 -(184.59 +654.50 +112.11) +323.89
ending balance = $623.02
This circle is centered at the origin, and the length of its radius is 4. What the equation of the circle? 150 ė O A.2.1 4 O B. (x-4)² + (x-4)² = 16 O C. x² + y² = 4² O D. x² + y² = 4
Answer:
C
Step-by-step explanation:
The formula for the equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].
Since the center of this circle is (0,0) and the radius is 4, the equation will be [tex]x^2+y^2=4^2[/tex]
Have a nice day!
The director of a health clinic has a quarterly budget of $600,000. She
would like to allocate this budget to maximize the number of patient visits, P, which is
given as a function of the number of doctors, D, and the number of nurses, N, by
[tex]P=1000D^0^.^6N^0^.^3[/tex].
A doctor’s quarterly salary is $40,000; nurses is $10000.
Maximize the number of patient visits given the pay constraints.
Find the value of the LaGrange multiplier and interpret its meaning in this
problem.
The meaning of this problem is that with 7 nurses they can only hire D=13.25
What is the meaning of this problem.?Generally, the equation for the model is mathematically given as
[tex]P=1000D^{0.6}N^{0.3}[/tex]
Therefore,
[tex]dv/dD=0.6*1000*D^{0.4}N)^{0.3}[/tex]
[tex]dv/dD=600* \frac{N6.1}{D6.1}=0[/tex]
Also
[tex]dv/dN=300* \frac{N6.8}{N6.7}=0[/tex]
Equations 1 and 2
[tex]300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}[/tex]
.sub D=(60N)/4
[tex]300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}[/tex]
N=6.67
N=7
solve for D
D=(60(7))/4
D=13.25
In conclusion, with 7 nurses they can only hire D=13.25
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In order for the parallelogram to be a rhombus, x=[?]. (9x+31) 32
HELP NEEDED ASAP
what value of x will make ONM similar to SRQ by the SAS similarity theorem?
The triangles will be congruent by SAS if x = 25 , Option C is the correct answer.
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
Two triangles are given , in the figure
They have an angle equal to each other ,
For the Triangle to be congruent by SAS , two sides of the triangles must be proportional along with the angle included must be equal.
The two sides will become proportional when x = ?
8/10 = 20 /x
On solving this
x = 25 ,
Therefore the triangles will be congruent by SAS if x = 25.
The complete question is
What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?
A) 16
B) 20
C) 25
D) 50
The figure is attached with the answer.
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y=10^x +6
find the inverse
[tex]y=10^x+6\\10^x=y-6\\x=\log_{10}(y-6)\\\\f^{-1}(x)=\log_{10}(x-6)[/tex]
rewrite the following expression as a single logarithm 2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)
The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).
What is the rewritten form of the expression?The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;
2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)
= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)
= log {(x+3)²(x-2)^5}/(x-7)³(x²)
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HELP PLEASE I will give brainly!!!!!
Answer:
(1,2)
Step-by-step explanation:
first, make the equations equal each other so you can solve for x
8x-6=2x
this gives you 1
then, use what you got for x and plug it in for one of the original questions. I am gonna use 2x since its the easiest to plug in and solve
2(1)=2, so y is 2
so then x=1 and y=2
then put that into (x,y) which is (1,2)
2. If G (4,3) was translated (x, y) → (x-7, y +3), where is G' located?
Answer:
the location of point G would be at G(-3,6)
Step-by-step explanation:
x=4
so 4-7 =-4
and y=3
so 3+3= 6
therefore, (x-7,y+3) = (-3,6)
Use the function below to find F(2).
Answer:
D
Step-by-step explanation:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 195, x = 126; 95% confidence
Using the z-distribution, the 95% confidence interval for the population proportion is (0.5791, 0.7133).
What is a confidence interval of proportions?
A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]n = 195, \overline{p} = \frac{126}{195} = 0.6462[/tex]
Hence the bounds of the interval are:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 - 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.5791[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 + 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.7133[/tex]
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Reflect shape A in the y-axis.
Answer:
(-1,1) (-4,1) (-4,3)
Step-by-step explanation:
literally mirror shape A to the y-axis
the original cordinates:
(1,1) (4,1) (4,3)
would now be
(-1,1) (-4,1) (-4,3) because it's reflected
PLS HELP WILL MARK BRAINLYEST
graph y=0.4x
Answer:
B, C, E
Step-by-step explanation:
Answer:
B,C,E
Step-by-step explanation:
The equation tells you that .4 is the slope (which is the rate of change). So B and C are both correct, if we look at E, we can put it on a graph and check if it is!
your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound?
Answer:
Step-by-step explanation:
It would be better to purchase onions at 1.99 per pound
Please help! I will give you lots of points!!!
Directions: construct the bisector of the following figures.
Note: please draw them out each on a piece of paper or laptop. Thank you!
A bisector is the required line that divides a given line or an angle into two equal parts. The required construction of the bisectors is shown in the attachment to this answer.
Bisection is the process in which a given line or angle is divided into two equal parts by constructing the required bisector. Thus the steps to bisect the given arcs are stated below:
For figure 1:
Open the compass to any radius, using point A as the center draw arcs on the reverse side of the given arc AB.Repeat the same process using point B as the center and the same radius as that used in A.Join the intersections of the arcs on the reverse sides of arc AB by a line. Thus the required bisector.For figure 2:
Open the compass to any radius, using point M as the center draw arcs on the reverse side of the given arc MN.Repeat the same process using point N as the center and the same radius as that used in M.Join the intersections of the arcs on the reverse sides of arc MN by a line. Thus the required bisector.For figure 3:
Open the compass to any radius, using point A as the center draw arcs on the reverse side of the given arc AB.Repeat the same process using point B as the center and the same radius as that used in A.Join the intersections of the arcs on the reverse sides of arc AB by a line. Thus the required bisector. The point on arc AB through which the bisector intersects is the required point S. The mid point of arc AB.For figure 4:
Open the compass to any radius, using point A as the center draw arcs on the reverse side of the given arc AB.Repeat the same process using point B as the center and the same radius as that used in A.Join the intersections of the arcs on the reverse sides of arc AB by a line. Thus the required bisector. Repeat the same procedures using points BC.NB: The point of intersection of the bisectors in relation to arc AC is the radius of the given arc.
The required constructions are attached to this answer.
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2. Fruit snacks are 12 packs for $3.60. How much would it cost for just 1 pack? Hint:
Think of $3.60 as 360 cents.
Answer:
$0.3 or 30 cents
Step-by-step explanation:
if 12 pack=$360,
1 pack = ?
therefore,$360×1pack ÷ 12 packs=$30
=$30
Help me with this algebra
Answer:
Step-by-step explanation:
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per roll for each shop.
Write which shop is the best value for money in the comment box.
lidal:8 for 2.80
oldi:9 for 3.24
The price per roll for Lidal and Oldi shop is 0.35 and 0.36 respectively.
Therefore Lidal shop is the best value for money.
Given,
Lidal shop:
8 rolls costs 2.80
∴ one roll costs = 2.80/8
= 0.35
Oldi shop:
9 rolls costs 3.24
∴ one roll costs = 3.24/9
= 0.36
Hence we get the per price for the shops as 0.35 and 0.36
we can see that for lidal shop if per roll it is 0.35 then if a person wants to buy 9 rolls then it will cost him 3.15, whereas in the case of oldi shop the price for 9 rolls is 3.24.Therefore, lidal shop is the best value for money.
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