Answer:
$383,500.68
Step-by-step explanation:
The amount needed is the present value of the $30,000 that Anna will withdraw for 25 years compounded at 6% annually
=pv(rate,nper,pmt,fv)
rate is the annual rate of 6%
nper is the number of years of withdrawal which is 95-70=25
pmt is the amount of annual withdrawal which is $30,000
fv is the amount of withdrawals which is unknown
=pv(6%,25,-30000,0)=$383,500.68
The amount of she required at 70 is $$383,500.68 which gives her the benefit of withdrawing $30,000 per year at retirement
Tina wrote the equations 3x-y=9 and 4x+y=5. What can Tina conclude about the solution to this system of equations?
(3, 2) is a solution to the system of linear equations.
(-2, 3) is a solution to the system of linear equations.
(2.-3) is a solution to the system of linear equations.
(3,-2) is a solution to the system of linear equations.
Answer:
Option (C)
Step-by-step explanation:
Solve by Graphing:
Use a graphing tool to graph the lines 3x-y=9 and 4x+y=5.
When graphed, the lines intercept at (2,-3).
Therefore, Tina can conclude that (2,-3) is a solution to the system of linear equations.
The required (2.-3) is a solution to the system of linear equations. Option C is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
3x-y=9 - - - -(1)
4x+y=5 - - - - (2)
Adding equations 1 and 2
7x = 14
x = 2
Now,
3(2) - y = 9
-y = 9 - 6
-y = 3
y = -3
Thus, the required solution of the given simultaneous equations are x = 2 and y = -3.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
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Round 478.54 to nearest tenth
Answer:
478.5
Step-by-step explanation:
The 4 is less than 5 so it rounds down.
Answer:
478.5
Step-by-step explanation:
Maria, an experienced shipping clerk, can fill a certain order in 9 hours. Jim, a new clerk, needs 11 hours to do the same job. Working together, how long will it take them to fill the order
Answer:
4 19/20 hours or 4 hours , 57 minutes
Step-by-step explanation:
Given
In 9 hours Maria can fill a certain order let Say X
In 9/9 hours Maria can fill X/9 of the order
in 1 hour Maria can fill X/9 of the order
__________________________________
In 11 hours Jim can fill a certain order let Say X
In 11/11 hours Maria can fill X/11 of the order
in 1 hour Maria can fill X/11 of the order
_____________________________________________
Therefore total order filled by them in one hour will sum of individual work done by them in one hour.
Mathematically,
total order filled by Jim and maria in one hour = work done by Jim in one + work done by Maria in one hour
total order filled by Jim and maria in one hour = 1/11 + 1/9
=> [tex]1/11 + 1/9 \\=> (9 + 11)/11*9\\=> 20/99[/tex]
=>20/99 of certain order is filled by both of them in one hour.
=>Total order is one. Hence, to get 1 from 20/99 we need to multiply it with its reciprocal (i.e 99/20) as 20/99 *99/20 = 1
now
=>20/99 of certain order is filled by both of them in 1 hour.
=>multiplying both order and hour with 99/20 we have
20/99 *99/20 of certain order is filled by both of them in 1* 99/20 hour
Thus total order is filled by them in 99/20 hours = 4 19/20 hours.
1 hour has 60 minutes
so 19/20 has 60*19/20 minutes = 57 minutes.
Working together, Jim and Maria will take 4 hours , 57 minutes to fill the order.
A bag contains 6 green chips, 8 red chips, and 3 blue chips. If you draw two chips without replacement, what is the probability that both chips are the same color?
Answer:
2/17
Step-by-step explanation:
you add up all the chips and then the two chips =2
6+8+3=17
so 2/17
Express sin A, cos A, and tan A as ratios.
Answer: B.
Step-by-step explanation: SIN = Opposite/Hypotenuse COS = Adjacent/Hypotenuse, and TAN = Opposite/Adjacent or SIN/COS.
An immigration agent sampled cars going from country M to country N. In his report, he indicated that of the 85 cars sampled, 27 cars were driven by women, 53 cars were driven by citizens of country M, 41 cars had two or more passengers, 23 cars were driven by women who are citizens of country M, 22 cars were driven by women and had two or more passengers, 18 cars were driven by citizens of country M and had two or more passengers, and 13 cars were driven by women who are citizens of country M and had two or more passengers. After his supervisor reads the report, she explains to the agent that he made a mistake. Explain how his supervisor knew that the agent's report contained an error.
Answer:
the numbers of women drivers are inconsistent
Step-by-step explanation:
Let W, C, P stand for the conditions that the drivers were women, the drivers were citizens, and the car had passengers, respectively.
We are told the number of WCP cars is 13, the number of WC cars is 23, and the number of WP cars is 22. The total of WC and WP cars counts WCP cars twice, so the total of cars in these three categories combined is ...
WC +WP -WCP = 23 +22 -13 = 32
This number (32) is more than the total number of cars with women driving (27), so there is obviously a mistake.
Find m∠TUL.
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
A) 18°
B) 20°
C) 22°
D) 24°
Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV= m∠TUL+ m∠LUV
now plug in the angles for each
m∠TUV= m∠TUL+ m∠LUV
[tex]167= x+11 +11x[/tex]
solve the equation for x
[tex]167= x+11 +11x\\167=11 +12x[/tex]
Subtract 11 from both sides
[tex]156=12x[/tex]
divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)° = (24)°
answer:
24°
Your round trip drive to school is 3 7/10 miles.how many miles do you drive to and from school in 5 days?
Answer:
18 1/2 miles
Step-by-step explanation:
3 7/10 * 5
Change to an improper fraction
(10* 3 + 7)/10 * 5
37/10 *5
Rewriting
37 * 5/10
37/2
Changing back to an mixed number
2 goes into 37 18 times with 1 left over
18 1/2
What is the volume of the right triangular prism in cubic meters? Round to the nearest cubic meter
26.9 m
23 m
11 m
14 m
This question is incomplete because it lacks the diagram of the right triangular prism. Find attached to this answer, the diagram
Answer:
1771m³ or 1771 cubic meters
Step-by-step explanation:
Formula for the volume of Right triangular prism =
1/2 × base × height × Length
From the attached diagram,
We can see that the
Height of the prism = 23m
Base of the prism = 14m
Width or length of the prism = 11m
Volume = 1/2 × 14m × 23m × 11m
Volume of the right triangular prism = 1771m³ or 1771 cubic meters
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
Normally, x would be the domain and y would be the range.
According to the table, range of y consists of (4, 2, 5) or ranges of (2, 4, 5)
=> Option D is correct.
Hope this helps!
:)
Sporting Equipment, Inc. makes two types of balls: Soccer balls and Cork balls. The making of each soccer ball and cork ball requires 3 hours and 4 hours of production time, respectively. For the next month, the total production hours of 500 are available. Also, the combined production quantity for these two balls must be at least 150 units. The objective for this linear programming model is to fulfil the given production requirements at a minimum cost. The production cost for each Soccer ball is S7 and each Cork ball is $9.
1. Formulate the problem, using the following decision variables:
S = number of Soccer balls manufactured
C = number of Cork balls manufactured
2. The objective function is:
A. Maximize 9S + 7C
B. Minimize 7S + 9C
C. Minimize 9S + 7C
D. Maximize 7S + 9C
3. The constraint equation for the production hours is:
A. 3S + 4C >= 500
B. 4S + 3C <= 500
C. 4S + 3C <= 500
D. 3S + 4C <= 500
4. The constraint equation for the combined production quantity is:
A. S + C <= 150
B. S + C >= 150
C. S + C = 150
D. S + C =/150
5. If the company produces 100 soccer balls and 50 cork balls, the cost of production is:
a. $1250 b. $1350 c. $1150 d. $2000
Answer:
2) B). Minimize 7S + 9C
3) D) . 3S + 4C ≤ 500
4) B). S + C ≥ 150
5) C) $1150
Step-by-step explanation:
The company makes two types of balls, the balls and their costs are written below:
Soccer ball, S = $7
Cork ball, C = $9
Production time of each ball:
Soccer ball = 3 hours
Cork balls = 4 hours
2) To find the objective function.
Since the cost of each soccer ball is $7 and S balls are produced, the total cost of soccer balls is 7S.
Similarly, the cost of each cork ball is $9 and C balls are produced, total cost is 9C.
The objective function maximize profits and minimizes losses. Here, the objective for this linear programming model is to fulfil the given production requirements at a minimum cost.
Therefore the objective function here is: Minimize 7S+9C
3)The constraint equation for the production hours.
To produce one soccer ball, 3 hours are needed, i.e 3S, to produce one Cork ball 4 hours are needed, i.e 4C.
Since we are given a maximum productin time of 500 hours, the constraint equation for the production hours would be:
3S + 4C ≤ 500
4) Since we are told the combined production quantity for these two balls must be at least 150 units, the constraint equation for the combined production quantity is:
S + C ≥ 150
5)Since each soccer ball costs $7, 100 soccer balls would cost:
7*100 = $700
Similarly, since each Cork ball costs $9, 50 cork balls would cost:
9*50 = $450
Therefore the total cost of production would be:
$700 + $450 = $1,150
Note: Question number 1 isn't a question, it's an expression.
Can someone please tell me what the mathematical shape of the certain photo I have attached.
Thanks
Jake
Answer:
Square based pyramid
Step-by-step explanation:
Answer:
The given figure is a square based pyramid
Sean practices soccer for 1/2 hour every morning before school and 1 1/4 hours after school.How long does he practice in 5 days?
Practice done Before school = for 1/2 hour
Practice done after school = for 1¼ hour = 5/4 hour
Total Practice done = for 1/2 hour + 5/4 hour = 2+5/4 hours = 7/4 hours .
Practice done in 5 days = for 7×5/4 hours = 35/4 hours = 8¾ hours
Answer:
Sean practices 8 hours and 45 minutes.
Step-by-step explanation:
1/2 x 5=2.5= 2 hours and 30 minutes
1 1/4=5/4 x 5= 6.25= 6 hours and 15 minutes
2 hours and 30 minutes + 6 hours and 15 minutes= 8 hours and 45 minutes.
Sean practices 8 hours and 45 minutes.
Please help me you’ll be a lifesaver These are pretty easy
Answer:
B
Step-by-step explanation:
Answer:
I think the answer is A. 1/72 Hopefully this helps! and hopefully this is correct!
Find the distance between the points (-5,1) and (-2,-5)
Answer:
d= 3√5
Step-by-step explanation:
The area of a square garden is 100 square meters.
a. Find the length of each side of the garden.
? m area = 100 m2
b. Find the perimeter of the garden.
Please help
Answer:
a. The length of each side of the garden is 10 m.
b. The perimeter of the garden is 40 m.
Step-by-step explanation:
A square is a regular polygon with four sides. The area of a square is given by the formula
[tex]Area = width \cdot height[/tex]
But since the width and height are by definition the same, the formula is usually written as
[tex]Area = s^2[/tex]
where s is the length of one side.
a. To find the length of each side of the garden we know that the area is 100 [tex]m^2[/tex] applying the area formula and solving for s, the length of one side, we get that
[tex]100=s^2\\\\s^2=100\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\s=\sqrt{100},\:s=-\sqrt{100}[/tex]
The length can't be negative. Therefore, [tex]s=\sqrt{100}=10[/tex]
b. In the case of a square, all four sides are the same length, so the perimeter is four times the length of a side. Or as a formula:
[tex]Perimeter = 4s[/tex]
where s is the length of any one side.
We find that the length of each side is 10 m. Therefore, the perimeter is
[tex]Perimeter = 4s\\\\Perimeter =4 \cdot 10 = 40 \:m[/tex]
Coopers & Lybrand surveyed 210 chief executives of fast-growing small companies. Only 51% of these executives had a management succession plan in place. A spokesperson for Cooper & Lybrand said that many companies do not worry about management succession unless it is an immediate problem. However, the unexpected exit of a corporate leader can disrupt and unfocus a company for long enough to cause it to lose its momentum. Use the data given to compute a 92% confidence interval to estimate the proportion of all fast-growing small companies that have a management succession plan.
Answer:
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
(0.46154 , 0.558)
Step-by-step explanation:
Given sample size 'n' = 210
The sample proportion 'p' = 51% = 0.51
Confidence intervals are determined by
[tex](p^{-} - z_{\alpha } \sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} +Z_{\alpha } \sqrt{\frac{p^{-} (1-p^{-} )}{n } } )[/tex]
The 92% of z-score value
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.08}{2} } = Z_{0.04} = 1.405[/tex]
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
[tex](0.51 - 1.405 \sqrt{\frac{0.51 (1-0.51 }{210} } , 0.51 +1.405 \sqrt{\frac{0.51 (1-0.51)}{210 } } )[/tex]
on calculation , we get
(0.51-0.048 , 0.51 + 0.048)
(0.46154 , 0.558)
Final answer:-
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
(0.46154 , 0.558)
3y + 2 = 11 what does the y equal
Answer:
3
Step-by-step explanation:
first subtract 2 from 11, which is 9
then u have 3y=9
then u do 9 divided by 3, which is 3
and that's ur final answer
Answer:
3y + 2 = 11
=> 3y = 11 - 2
=> 3y = 9
=> y = 9/3
=> y = 3
The following are the ages (years) of 5 people in a room: 25, 18, 17, 13, 24 A person enters the room. The mean age of the 6 people is now 22. What is the age of the person who entered the room?
Answer:
See Below:
Step-by-step explanation:
Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.
22= (25+18+17+13+24+x)/6
Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.
22 = (25+18+17+13+24+x)/6 Multiply both sides by 6
132= 97+ x Subtract 97 from both sides.
35 = x
The person who just entered the room is 35 years old.
What is the slope of the line
Answer:
the answer is b
Step-by-step explanation:
since rise over run
Answer:
You should be able to complete the solution from the guidance below.
Step-by-step explanation:
The slope is y2-y1 / x2-x1
The points from the graph are (0,3) and (-1.5,0)
What’s the correct answer for this?
Step-by-step explanation:
Midpoint => M (Mx, My)
Mx = (Ax + Bx)÷2
My = (Ay + By)÷2
Mx = [(-6) + 2] ÷ 2 = -2
My = [(-3) + 7] ÷ 2 = 2
M (-2, 2)
Use the distributive property to factor out y.
5y-3y+ 12
The new expression becomes
By+12
© -2y+12
2y+12.
14y
Answer:
[tex] 5y -3y +12[/tex]
If we see the first two terms contains the variable y (5y and 3y), so we can take this as common factor and we got:
[tex] y (5-3) +12[/tex]
And solving the 5-3 we got:
[tex] 2y +12[/tex]
So then the best answer would be:
2y+12.
Step-by-step explanation:
We have the following expression:
[tex] 5y -3y +12[/tex]
If we see the first two terms contains the variable y (5y and 3y), so we can take this as common factor and we got:
[tex] y (5-3) +12[/tex]
And solving the 5-3 we got:
[tex] 2y +12[/tex]
So then the best answer would be:
2y+12.
Which statement is true?
A. 5x and 5 are like terms.
B. 5 and x are like terms.
C. 5x and x are like terms.
D. 5x and 5y are like terms.
Answer:
C. 5x and x are like terms.
Step-by-step explanation:
Like terms have the same degree of the variable
5x and x are like terms because both have x to the power 1
Answer:
C. 5x and x are like terms.
Step-by-step explanation:
All variables are all " x "
Which could be the first step in solving the equation represented by the model below? 3 x tiles and 4 positive 1 tiles = 2 x tiles and 6 positive 1 tiles Add 4 negative unit tiles to both sides. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side. Add 4 positive unit tiles to both sides. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Answer:
A
Step-by-step explanation:
Bigbrain ;3
Answer:
the right answer is A
Step-by-step explanation:
have a great day and hope you pass
Enter numbers in the blanks to complete the sentences.
Answer:
For The First Line the answer is 0
For the second line the answer is 0,0
Step-by-step explanation:
I put the picture :)
Enter numbers in the blanks to complete the sentences.
For equations in the form y=kx, if x=0, then y= 0
So the point, 0 then the other box is 0 must be on the graph of every equation in the form y=kx.
I got this correct if this doesn't help I also put the picture that I got it correct :)
What is x if the equation is, 4 - (2x-3) = 3?
Answer:
x = 2
Step-by-step explanation:
4 - (2x-3) = 3
Distribute the minus sign
4 -2x+3 = 3
Combine like terms
7 -2x = 3
Subtract 7 from each side
7 -2x-7 = 3-7
-2x = -4
Divide by -2
-2x/-2 = -4/-2
x = 2
Seaside Bike Shop rents bikes for $10 plus $4 per hour. Jack paid $30 to rent a bike. Which equation, when solved for x, gives the number of hours he rented the bike?
You don’t list the options but you need to multiply the hourly rate by the number of hours (x) and add that to the few to find the total so the equation would be:
Total = 4x +10
You are told the total was $30 so you can solve for x:
30 =3x + 10
Subtract 10 from both sides:
20 = 4x
Divide both sides by 4:
X = 5 hours
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
In the attached file
6 times what would = 73
Answer:
12.1 repeating
Step-by-step explanation:
73/6=12.16666666...
Assume y varies directly as x.
If y = 7 when x = 3, find x when y = 21.
Answer:
X=9
Solution is in the picture above.