Answers
.. $80,000 * 4/(3 +4) = 45,714.29
The closest answer is the 4th selection, but it doesn't really agree with the conditions of the problem statement.
_____
If Steve invests the balance after Elizabeth contributes 45,600, the ratio of their contributions will be 43:57, about 0.7544, not 3:4 = 0.7500.
Related Questions
Please Hurry, I really need help! A cylinder has a height of 6" and the circumference of its base is 16π".
Find the volume of the cylinder. (P.S There is no picture of the cylinder)
96π cubic inches
192π cubic inches
384π cubic inches
Answers
Circumference is 2*pi*r
16pi=2pir
r=8
v=pi*8^2*6
v=384pi cubic inches
Height of cylinder = 6 inch
Circumference of base = 16 π inch
Volume of cylinder = πr^2h
Radius =?
Circumference of circle = 2πr
2πr= 16π
2r= 16
r= 16/2
r= 8 inch
Volume= π×8×8×6
Volume= 384π cubic inches
Hope it helps...!!!
Emily added 5 grams of water into 20 grams of 50% salt solution.
She made ___ grams of ___% salt solution.
Answers
She made ___25___ grams of ___40___% salt solution
------------------------------------------------------------------
The given info "20 grams of 50% salt solution" tells us that we have 10 grams of pure salt
Since 50% of 20 = 0.50*20 = 10
Put another way, we have 10 grams of pure salt out of 20 total so 10/20 = 0.50 = 50% salt solution
The 20 grams of solution updates to 25 grams of solution when we add the 5 grams of water
We don't add any salt, assuming this water is fresh water
So we still have 10 grams of pure salt out of 25 grams now
10/25 = 2/5 = 0.40 = 40% is the new salt concentration
helpppppppppppppppppppp
Answers
either x = 5 or x = -1 (second option)
Explanation:
We are asked to use the u substitution. This means that we will assume that:
u = x - 3
Substitute in the given expression:
u^2 + 2u - 8 = 0
(u-2)(u+4) = 0
either u = 2
or u = -4
Now, we have:
u = x- 3
at u = 2:
x - 3 = 2
x = 2 + 3 = 5
at u = -4:
x - 3 = -4
x = -4 + 3 = -1
Hope this helps :)
Using substitution we have:
u = x-3
We rewrite:
(u) ^ 2 + 2 (u) -8 = 0
We are looking for roots:
u1 = 2
u2 = -4
We return the change:
u1 = 2 = x-3
x1 = 3 + 2 = 5
u2 = -4 = x-3
x2 = -4 + 3 = -1
Answer:
x1 = 5
x2 = -1
(option2)
A car is traveling at a speed of 44 feet per second. What is the car’s speed in miles per hour? How many miles will the car travel in 4 hours? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers
Answers
44 * 3600 = 158400 feet per hour
158400 / 5280 = 30 miles per hour
30 * 4 = 120 miles
Car travels at speed of 44 feet per second. Converted to miles per hour, it's 30 mph. In 4 hours, it travels 120 miles, using the conversion factor 1 mile = 5280 feet.
To find the car's speed in miles per hour, you can use the conversion factor:
1 mile = 5280 feet
So, first, we need to convert the car's speed from feet per second to miles per hour.
Find out how many feet the car travels in an hour, and then we'll convert that to miles:
1 hour = 60 minutes
1 minute = 60 seconds
So, in 1 hour, there are 60 minutes × 60 seconds = 3600 seconds.
Now, if the car is traveling at a speed of 44 feet per second, in 1 hour, it would travel:
44 feet/second × 3600 seconds/hour = 158,400 feet/hour
Now, convert this to miles:
158,400 feet/hour / 5280 feet/mile = 30 miles/hour
So, the car's speed is 30 miles per hour.
To find out how many miles the car will travel in 4 hours at this speed:
4 hours × 30 miles/hour = 120 miles
The car will travel 120 miles in 4 hours.
Therefore, speed of the car is 30 miles/hour and it travels 120 miles in 4 hours.
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Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1? 6f – 1 evaluated at f = 9 is 53. 2f + 4f + 2 – 3 evaluated at f = 9 is also 53. 6f – 1 evaluated at f = 3 is 17. what is 2f + 4f + 2 – 3 evaluated at f = 3?
Answers
the expression 2f + 4f + 2 – 3-------> we can group it (2f+4f)+(2-3)
(2f+4f)+(2-3)=(6f-1)
therefore
the expression [2f + 4f + 2 – 3] is equivalent to [6f-1]
if the expression [6f-1] for f=3 is 17
then
the expression [2f + 4f + 2 – 3] for f=3 is also 17
let's check it
[2*3 + 4*3 + 2 – 3]--------> [6+12+2-3]=[20-3]=17------> is ok
Answer: 17
Step-by-step explanation:
Which description is correct for the polynomial 4x² +3x +5?
cubic binomial
cubic trinomial
quartic monomial
quadratic trinomial
Answers
The answer is: D)quadratic trinomial
The solution is Option D.
The quadratic trinomial is given by A = 4x² + 3x + 5
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4x² + 3x + 5 be equation (1)
On simplifying the equation , we get
There are 3 terms on the equations , so it is a trinomial
And , since the variable is x² , it is a quadratic equation
Therefore , the equation A is quadratic trinomial
Hence , the equation is quadratic trinomial
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Find the distance between the points given.
(-3, -6) and (3, 2)
4
10
√52
Answers
HELP! This circle graph shows the results of a survey that asked people to identify their favorite type of music. What percent of people chose rock or country as their favorite type of music? 9% 35% 45% 55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.
Answers
The percentage that choose rock or country is 45%
From the circle graph, we have the following parameters:
Rock = 27%.
Hip Hop = 28%
Jazz = 19%.
Country = 18%
Other = 14%
The percentage that choose rock or country is then calculated as:
Rock or Country = 27% + 18%
Rock or Country = 45%
Hence, the percentage that choose rock or country is 45%
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To ensure that you do not have a total consumption budget, which two categories should be added to your budget
Answers
A. savings and checking
B. savings and miscellaneous
C. savings and vacation
D. vacation and miscellaneous
My answer would be: B. savings and miscellaneous
Total consumption budget is defined as a budget where every centavo is allocated to a planned need like shelter, food, water, etc. There is no residual amount in this budget because the net balance is 0. Thus, for a budget not to become a total consumption budget, there must be some left over amount for discretionary spending like savings and other miscellaneous expenses.
Find the circumference of the circle. Use pi = 3.14. A. 3 m B. 18.84 m C. 6 m D. 28.26 m
Answers
The perimeter of the circle is:
C = 2 * pi * r
Where,
r: radius of the circle.
Substituting we have:
C = 2 * (3.14) * (r).
Another alternative way is:
C = 2 * pi * (d / 2)
rewriting:
C = pi * d
Substituting we have:
C = (3.14) * d
Where d is the diameter of the circle.
Note: to complete the answer substitute the radius or the diameter of the circle in the given equations.
Answer:
C = (3.14) * d
C = 2 * (3.14) * (r).
The circumference of the circle.
A. r = 3 m, C = 18.84 m
B. r = 18.84 m, C = 118,315 m
C. r = 6 m, C = 37.68 m
D. r = 28.26 m, C = 177,473 m
Further explanationCircles are two-dimensional builds which are sets of equidistant points at a point called the center point
The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle
There are terms - terms commonly used in circles:
1. The center point 2. Radius 3. Arc 4. Circumference 5. Segment 6. Chord 7. Annulus 8. Diameter 9. Disc 10. LensWhereas circumference formula
C = 2. π. r
π = 3.14
r = radius
In the question is known radius as follows:
A. r = 3 mthen
C = 2.3.14. 3
C = 18.84 m
B. r = 18.84 mC = 2.3.14. 18.84
C = 118,315 m
C. r = 6 mC = 2.3.14. 6
C = 37.68 m
D. r = 28.26 mC = 2.3.14. 28.26
C = 177,473 m
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Keywords : the circumference
, circle, center point
Helppppppp!!!!!!!!!!!!!!!!!!
Answers
Interior angles of triangles add to equal 180 degrees, so you can set up an equation to find m<2:
180 = 115 + 50 + x
180 = 165 + x
15 = x
Answer:
The measure of angle 2 is 15 degrees.
Let f(x)=3x and g(x)=x^2+5. Perform function operation g(x)/f(x). State the domain.
Answers
f(x)=3x
g(x)=x²+5
g(x)/f(x)=[x²+5]/[3x]
that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite
the domain is the interval (-∞,0) U (0,∞)
using a graph tool
see the attached figure
Jaylyn rode her bicycle in a bike-a-thon she wrote 33.48 miles in 2.7 hours if she rode at the same speed what was her speed in miles per hours
Answers
Average speed is defined by a formula:
[tex]speed = \frac{distance}{time} [/tex]
We have:
distance = 33.48 miles
time = 2.7 hours
speed = ?
[tex]speed = \frac{33.48}{2.7} \\ speed = 12.4 mph[/tex]
V=d/t
V is the speed.
d is the distance (d=33.48 miles).
t is the time (t=2.7 hours).
Then, when you substitute this values into the formula for calculate the speed, you obtain:
V=d/t
V=33.48 miles/2.7 hours
Therefore, the result is:
V=12.40 miles/hour
What was her speed in miles per hours?
The answer is: 12.40 miles/hour
Find the percent change from the first value to the second. 36; 63
Answers
The percent change from 36 to 63 is calculated using the formula: [(New value - Original value) / Original value] x 100. The percent change in this case is 75%.
To find the percent change from the first value to the second, use the following formula:
Percentage change = [(New value - Original value) ÷ Original value] × 100
In this case, the original value is 36 and the new value is 63. So, the change in value is 63 - 36 = 27.
Next, divide the change by the original value: 27 ÷ 36 = 0.75.
To convert this to a percentage, multiply by 100: 0.75 × 100 = 75%.
Therefore, the percent change from 36 to 63 is 75%.
The total area of the rectangular prism shown is 30 sq. ft. 50 sq. ft. 62 sq. ft.
Answers
The Surface area of rectangular prism is given by:
[tex] S.A = 2(wl + hl+ hw) [/tex]
where ,
w=width=2 ft
h=height=5 ft
l=length.=3 ft
Plugging these values in the formula,
[tex] S.A = 2(2*3 + 3*5+ 5*2) [/tex]
Answer : Surface Area =62 square feet.
The parent secant function is shifted 2 units down, and its period is changed to pi. Which of the following is the graph of the transformed function?
Thank you!
Answers
Two transformations are applied to this function.
1st Transformation:
Function is shifted down by 2 units. The resultant function will be:
sec(x) - 2
2nd Transformation:
The period of function is changed to π. The resultant function after both transformations will be:
sec(2x) - 2
The graph of transformed function over 1 period is attached below.
Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?
Answers
It is discrete...
The answer would be: D). y=4x+7.75; continuous. Let me know if this is right!
What are the solutions to the equation?
5w^2+10w=40
Enter your answers in the boxes.
w =
and
Answers
5w^2 + 10w - 40 = 0
Divide by 5 through ...
w^2 + 2w - 8 = 0
(w+4)(w-2) = 0
w = -4 or w = 2
Answer:
w= -4 and 2
Step-by-step explanation:
it's better to put it exactly how i wrote it to ensure you'll get it right ( -4 goes first then 2).
Please help
1.
(05.08 MC)
Given the equation `1/(x-1)+2/x=x/(x-1)`
Part A: What values of x that would make the equation no solution? Why?
Part B: What is the solution of the equation. Show all of your steps.
(10 points)
2.
(05.09 MC)
Max and Maggie have to clean the house. It takes Max 10 hours to clean the house, while Maggie can complete the task in 6 hours. How long will it take for them to work together? Explain each step in solving this equation. (10 points)
Answers
we have that
1/(x-1)+2/x=x/(x-1)
we know that
for x=1 and x=0 the equation is undefined because the denominator can not be zero
Part B)
1/(x-1)+2/x=x/(x-1) ---------> [x+2*(x-1)]/[x*(x-1)]=x/(x-1)
the term (x-1) in the denominator is simplified
[x+2*(x-1)]/x=x
x+2x-2=x²--------------> x²-3x+2=0
using a graph tool---------> I solve the quadratic equation
see the attache figure
the solution are
x1=1
x2=2
Part C)
we Know that
Max-----------------> takes 10 hours to clean the house
we calculate how much clean in an hour
if takes 10 hour------------> 100%
1 hour----------------------X
X=100/10--------> X=10%
Maggie-------------> takes 6 hours to clean the house
we calculate how much clean in an hour
if takes 6 hour------------> 100%
1 hour----------------------X
X=100/6--------> X=16.67%
we add both percentages
(10+16.67)=26.67 %
if both takes 1 hour----------> 26.67 %
X----------------------------------> 100%
X=100/26.67----------> X=3.75 hours---------> 3 hours+45 minutes
the answer part C) is 3.75 hours (3 hours+45 minutes)
What is the quotient
Answers
1) Rewrite the expression completely.
2) make a double c.
3) Factor each quadratic expression correctly.
4) cancel similar terms.
Answer:
2n
See attached images.
Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A ? Enter your answer in the box.
Answers
180 - 43 = 137
:)
Answer: The answer is 137°.
Step-by-step explanation: Given that the quadrilateral ABCD is inscribed in a circle, where measure of angle C is 43°. We are to find the measure of ∠A.
Since the quadrilateral ABCD is inscribed in a circle, so it will be a cyclic quadrilateral. Also, the sum of opposite angles of a cyclic quadrilateral is 180°.
Therefore, we have
[tex]\angle A+\angle C=180^\circ\\\\\Rightarrow \angle A+43^\circ=180^\circ\\\\\Rightarrow \angle A=180^\circ-43^\circ\\\\\Rightarrow \angle A=137^\circ.[/tex]
Thus, the required answer is 137°.
Isaac is on the 4th floor of a building. If he rides an elevator up 7 floors, what floor will he be on?
What integer represents the floor Isaac is starting on?
What integer represents how many floors the elevator will rise?
What floor will the elevator stop at?
Answers
1) if Isaac is on the 4th floor and goes up 7, that is 4 + 7= 11. So he is on the 11th floor.
2) the integer representing the floor he is starting on is 4 because that is the whole number associated with "4th."
3) the integer representing how many floors he will rise is 7.
4) the elevator will stop at 11.
Hope this helps! :)
Answer:
1. 4
2. 7
3. 11
Step-by-step explanation:
Just did the assignment.
Type the domain and range values for the corresponding variables that make these relations inverses of each other. a = b = c = d = e =
Answers
B) -2.6
C) 1.7
D) 4.4
E) 1
Make a box-and-whisker plot for the data. what is the median value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50
Answers
The median value is 48.
To find the median you put all the numbers in order. If there is an odd number of numbers it is the center number. If there are an even amount of numbers it is the mean I’d the two central numbers. In this case the two central numbers were the same. So the median is 48.
Answer:
Median = 48.
Step-by-step explanation:
Given : 56 32 48 52 51 53 48 38 35 42 40 46 54 50.
To find : what is the median value.
Solution : We have given 56 32 48 52 51 53 48 38 35 42 40 46 54 50.
Step (1) : Arrange in ascending order
32 , 35 , 38 ,40 , 42 , 46 , 48, 48 ,, 50 ,51, 52 ,53 ,54 , 56.
Total numbers = 14 ,
Formula of median for even numbers : [tex](\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th} \\Mean\ of\ (\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th}\ term\ is\ the\ median[/tex].
Here , n = 14
Step (2): [tex](\frac{14}{2})^{th} ,(\frac{14}{2}+1)^{th}[/tex]
[tex](7^{th} ,(8)^{th}[/tex] terms are 48 , 48
Step (3) :Mean of [tex](7^{th} ,(8)^{th}[/tex] = [tex](\frac{48+48}{2})[/tex] .
Median = 48.
Therefore, Median = 48.
Given △ABC where A(2, 3), B(5, 8), C(8, 3), RS is the midsegment parallel to AC, ST is the midsegment parallel to AB, and RT is the midsegment parallel to BC, determine if the statements are true or false.
Select True or False for each statemen
Answers
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]. Using the coordinates of A and B, we have:
[tex]R=(\frac{5+2}{2},\frac{8+3}{2}) \\R=(\frac{7}{2},\frac{11}{2}) \\R=(3.5, 5.5)[/tex]. Similarly, S is the midpoint of BC:
[tex]S=(\frac{5+8}{2},\frac{8+3}{2}) \\S=(\frac{13}{2},\frac{11}{2}) \\S=(6.5, 5.5)[/tex].
Since ST is a midsegment parallel to AB, then T must be a midpoint of AC:
[tex]T=(\frac{2+8}{2},\frac{3+3}{2}) \\T=(\frac{10}{2},\frac{6}{2}) \\T=(5,3)[/tex].
Now that we have the coordinates of each point we can find the length of each segment using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For ST:
[tex]d=\sqrt{(6.5-5)^2+(5.5-3)^2} \\=\sqrt{(1.5)^2+(2.5)^2} \\=\sqrt{2.25+6.25 \\=\sqrt{8.5}=2.9 \neq 4[/tex]
For RT:
[tex]d=\sqrt{(3.5-5)^2+(5.5-3)^2} \\=\sqrt{(-1.5)^2+(2.5)^2} \\=\sqrt{2.25+6.25} \\=\sqrt{8.5}=2.9 \neq 5[/tex]
For RS:
[tex]d=\sqrt{(3.5-6.5)^2+(5.5-5.5)^2} \\=\sqrt{(-3)^2+(0)^2} \\=\sqrt{9+0}=\sqrt{9}=3[/tex]
Which inequality represents all possible solutions of -7n < -14?
Answers
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An aquarium is 18 in. high, 12 in. wide, and 24 in. long. How much water can the aquarium hold? (V = lwh)
Answers
WZ←→− is tangent to circle O at point B.
What is the measure of ∠OBZ?
80º
90º
160º
180º
Answers
WZ is tangent to circle O at point B. The measure of [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].
Given,line wz is tangent to circle O at point B.
We have to find out the measure of [tex]\angle OBZ[/tex].
What is a tangent?A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of Tangency.
The tangent to a circle is perpendicular to the radius at the point of tangency.
Here in circle O, WZ is the tangent which touches the circle at point B,
so B is the point of tangency and the [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].
Hence the correct option is B. [tex]90^{\circ}[/tex]
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The number of cents per kilometer it costs to drive a car depends on how fast you drive it. At low speeds the cost is high because the engine operates inefficiently. At high speeds the cost is high because the engine must overcome high wind resistance. At moderate speeds the cost reaches a minimum. Assume that the number of cents per kilometer varies quadratically with the number of kilometers per hour.
A) Suppose that it costs 28,21, and 16 cents per kilometer to drive at 10,20,and 30 kph,respectively. Write the particular function to represent this situation.
B)How much would it cost to drive at 150 kph?
C) Between what two speeds must you drive to keep your cost at no more than 13 cents per kilometer?
C)Is it possible to spend only 10 cents per kilometer?
D) What is the optimum speed and how much per kilometer will it cost? What part of the function represents this function?
Answers
Using the form of a quadratic equation f(x) = ax^2 + bx + c, we can derive an equation for each of three given points (10,20,30 kph and their corresponding costs). Solving these simultaneously we would get the particular equation representing the situation. We could then apply this to calculate costs at various speeds including checking if it is possible to spend only 10 cents/km, determining an optimal speed range for a 13 cents/km cost, and finding the optimal speed and cost per km.
Explanation:To write a particular function that represents this scenario, we can set up three equations using the general form of a quadratic equation, which is f(x) = ax^2 + bx + c. In this case, our x-values are the speeds (10, 20, and 30 kph) and our f(x) values are the corresponding costs (28, 21, and 16 cents/km).
Substitute these values into the equation f(x) = ax^2 + bx + c, we get three equations:
100a + 10b + c = 28
400a + 20b + c = 21
900a + 30b + c = 16
By solving the system of equations, we could find the values of a, b and c. Then we would substitute the speed into the function to calculate the cost at 150 kph, and to find the speed range for a cost of 13 cents/km and check if it is possible to spend only 10 cents/km. Finally, the optimal speed and cost per km would be represented by the minimum point of the function, which in the case of a parabola occurs at x = -b/2a.
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PLS HELP ME ANSWER THIS ASAP , I WILL GIVE EXTRA POINTS AND BRAINIEST.
Answers
+5.1 on both sides
a=6.8
-31=z+(-17)
+17 on both sides.
-14 = z
a = 1.7 + 5.1
a = 6.8
-31 = z + (-17)
-31 = z - 17
- 31 + 17 = z
z = -14