Answer:
having a set minimum or percentage for savings; whichever is greater
Step-by-step explanation:
Most saved situation is,
A) Having a set amount set aside for savings each time you are paid.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find Most saved situation.
Now,, We know that;
When, having a set amount set aside for savings each time you are paid- this can be the most possible answer.
And, Technically a person should save 20% to 25% of his income and this amount increases with income.
So, each time when you are paid, set aside the savings amount.
Thus, Most saved situation is,
A) Having a set amount set aside for savings each time you are paid.
Learn more about the function visit:
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Find the volume of the prism.
Answer:
[tex]V=120\ units^3[/tex]
Step-by-step explanation:
we know that
The volume of a prism is equal to
[tex]V=BL[/tex]
where
B is the area of the base of the prism (triangular base in this problem)
L is the length of the prism (perpendicular distance between the top and the bottom)
Find the area of the triangular base B
[tex]B=\frac{1}{2}(3)(4)=6\ units^2[/tex] ---> area of a triangle
we have
[tex]L=20\ units[/tex]
substitute in the formula of volume
[tex]V=6(20)=120\ units^3[/tex]
Note The problem does not specify whether the measurements are in centimeters or in units, so I assume they are in units.
Select all of the values that are solutions to this inequality.
Answer:
12, 18.
Step-by-step explanation:
2x-5 < 33
2x < 38
x < 38/2
x < 19
NEED HELP ASAP!! Worth 15 pts!!
Answer:
p = 1/6
Step-by-step explanation:
5/6 - 1/3 n = p(5-2n)
Multiply each side by 6 so we do not have any fractions
6(5/6 - 1/3 n) = 6*p(5-2n)
5 - 2n = 6p (5-2n)
Divide each side by (5-2n) to isolate 6p
(5-2n)/(5-2n) = 6p (5-2n)/ (5-2n)
1 = 6p
Now divide by 6 to get p alone
1/6 = 6p/6
1/6 = p
How is that equal to 10.17378? How do you write that on a calculator? Sorry, haven’t learnt logarithms.
Answer:
Step-by-step explanation:
The log is basically saying: 13/5 to what exponent gives you 50 000/3.
and the exponent is approximated at 10.17378.
Find the area of the rhombus.
Please help ASAP
Answer:
The area of rhombus = 195 yd²
Step-by-step explanation:
Points to remember
Area of rhombus = d₁d₂/2
Where d₁ and d₂ are the diagonals of the rhombus
To find the area of given rhombus
Here diagonals of rhombus are given
From the figure we get,
d₁ = 13 + 13 = 26 yd and
d₂ = 7.5 + 7.5 = 15 yd
Area = d₁d₂/2 = (26 * 15 )/2 = 13 * 15 = 195 yd²
Therefore the area of rhombus = 195 yd²
central school is hosting a "central has talent" show. they will award various prizes for the best acts in the show. first place wins the most money
the answer is b and f
Answer:
b f
Step-by-step explanation:
Use the given information to write an equation of the circle.
center at (-7,-3), radius 2
The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2
h and K are the center points of the circle and r is the radius.
replace the letters with the provided center and radius:
(x- (-7))^2 + (y- (-3))^2 = 2^2
Simplify:
(x+7)^2 + (y+3)^2 = 4
Find the mean for each set of data. Round to the nearest tenth if necessary.
5, 10, 10, 20, 20, 5, 20, 20, 15, 15
Answer:
14
Step-by-step explanation:
Mean = (5+10+10+20+20+5+20+20+15+15)÷10
= 140÷10
= 14
the cost of oranges in a grocery store is directly proportional to the number of oranges purchased. elia paid $2.52 for 6 oranges. if p represents the cost(in dollars) and n represents the number of oranges, find the unit rate
Step-by-step explanation:
6 oranges =$2.52
1 orange=$2.52/6
=$0.42
Answer:
Step-by-step explanation:
The answer is aP=0.42n
To get to that answer all you have to do is 2.52/6=0.42
6 oranges=2.52
1 oranges=0.42
The lions little league team drinks a gallon of Gatorade each game. Every player gets a cup as a serving. 1 cup =1/16 gallon. The last game, The lions only used 1/2 gallon of Gatorade. How many cups of Gatorade were served to the players during the last game?
Answer:
8 cups
Step-by-step explanation:
8/16 equals 1/2 gallonThe number of cups of Gatorade served to the players during the last game was 8 cups.
To solve the problem, we need to determine how many cups are in half a gallon, given that 1 cup is equal to 1/16 of a gallon.
First, we establish the conversion factor between cups and gallons:
1 cup = 1/16 gallon
Now, we need to find out how many cups are in 1/2 gallon. To do this, we multiply the amount of Gatorade used in the last game by the conversion factor:
Cups served = (1/2 gallon) * (16 cups / 1 gallon)
Performing the multiplication:
Cups served = 1/2 * 16
Cups served = 8 cups
Therefore, 8 cups of Gatorade were served to the players during the last game.
tents hold 2, 3, 5, 6, or 12 people. how many combinations of tents are possible to sleep 32 all tents are fully occupied and exactly one 12 person tent is used.
there would be 12 combinations
Answer:
12
Step-by-step explanation:
We are given that tent hold 2,3,5,6 or 12 people.
We have to find the combinations of tents are possible to sleep 32 all tents are fully occupied and exactly one 12 person tent is used.
If one 12 person tents is used then remaining people=32-12=20
Therefore, 20 people that must be in other tents.
To place 20 persons in combination of 2,3,5 and 6.
20=5+5+5+5
20=5+5+5+2+3
20=6+6+6+2
20=2(10)=2+2+....+2(10 times)
20=5+5+2(5)(5 times add 2)
20=6+6+2(4) (4 times add 2)
20=3+3+3+3+3+3+2
20=3+3+3+3+3+5
20=3+2+6+5+2+2
20=3+3+3+3+6+2
20=3+3+5+5+2+2
20=6+6+3+5
Hence, there are 12 possible combination of tents to sleep 32 all tents are fully occupied and exactly one 12 person tents is used.
Algebraic Reasoning please help!
Answer:
[tex]\left[\begin{array}{ccc}7\\4\\2\end{array}\right][/tex]
The answer is a single-column matrix (7,4,2)
Step-by-step explanation:
In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix. So,
[tex]\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7[/tex]
then...
[tex]\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4[/tex]
and
[tex]\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2[/tex]
I hope it helps.
Post A and Post B are 120 meters apart. Post B and Post C are 300 meters apart. Ben cycled from Post A to Post B in 15 seconds. Then he cycled from Post B to Post C in 55 seconds. Find Ben's average speed for the distance from post A to Post C.
Show work
Answer: 6 meters per second
Step-by-step explanation:
Ben's average speed from Post A to Post C is 6 meters per second, calculated by dividing the total distance cycled (420 meters) by the total time taken (70 seconds).
Explanation:The subject of the problem is calculating average speed. In this context, Ben's average speed can be calculated by dividing the total distance cycled by the total time taken.
Total distance is the sum of the distance from Post A to Post B and from Post B to Post C, which is 120 meters + 300 meters = 420 meters.
Total time is the sum of the time taken from Post A to Post B and from Post B to Post C, which is 15 seconds + 55 seconds = 70 seconds.
So, Ben's average speed=Total Distance/Total Time.
This equals 420 meters/70 seconds= 6 meters/second.
Therefore, Ben’s average speed for the entire distance from Post A to Post C is 6 meters per second.
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16x to the 3rd / y * 5 y to the second / xy
Answer:
Final answer is [tex]80x^2[/tex].
Step-by-step explanation:
Given expression is [tex]\frac{16x^3}{y}\cdot\frac{5y^2}{xy}[/tex].
Now we need to simplify this expression as shown below:
[tex]\frac{16x^3}{y}\cdot\frac{5y^2}{xy}[/tex]
[tex]=\frac{80x^3\cdot y^2}{y\cdot xy}[/tex]
[tex]=\frac{80x^3\cdot y^2}{xy^2}[/tex]
[tex]=\frac{80x^3}{x}[/tex]
[tex]=80x^2[/tex]
Hence final answer is [tex]80x^2[/tex].
The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the tens digit and y is the ones digit, which system of equations represents the word problem?
xy = 14 and x - y = 2
x + y = 14 and x - y = 2
x + y = 14 and y - x = 2
Answer:
B. x + y = 14 and x - y = 2
Step-by-step explanation:
Sum means addition, so the sum of the tens digit (x) and the ones digit (y) is equal to 14 (x + y = 14).
Difference means subtraction, so the difference between the tens digit (x) and the ones digit (y) is 2 (x - y = 2).
I hope this helps =)
Answer:
Option B. will be the answer.
Step-by-step explanation:
If the tens digit is x and ones digit is y, then the number formed will be xy.
Now we fill form the equations as per statements given in the question.
"The difference between tens and unit digits is 2"
x - y = 2 --------(1)
"Sum of the digits of two digit number is 14"
x + y = 14 -------(2)
Therefore, system of equations will be as the given equations 1 and 2.
Option B is the answer.
Simplify 4y-8y^2+9y-7y^2
Answer: D) 13y+15y^2
Step-by-step explanation:
(4y+9y)+(-8y^2-7y^2)=13y-15y^2
4y-8y^2+9y−7y^2
=4y+ −8y^2+9y+ −7y^2
Combine Like Terms:
=4y+ −8y^2+9y+ −7y^2
=(−8y^2+ −7y^2)+(4y+9y)
= −15y^2+13y
Mr. Abrams conducted a survey of 355 students. 72% of them said that they study for tests. How many students said they study for tests?
Rounded Answer: 256
Exact Answer : 255.6
te
5. A farmer found a crop circle in his fields. He rode his tractor around it, and found that its
circumference was 1.884 miles. He rode his tractor directly across the center, and found
that the diameter was 0.6 miles. What is the area of the crop circle?
Answer: 0.283 square miles
Step-by-step explanation:
The area of a circle is:
Diameter:A = (π/4) × D2
or, when you know the Circumference:A = C2 / 4π
Mary spends 2 2/3 hours on math homework every week. She also spends 3 1/3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answer:
2 2/3+ 3 1/3 = 6. Multiply 6 by 4 weeks. 24 as your whole number.
Step-by-step explanation:
Final answer:
Mary spends a total of 24 hours on math and art homework combined over a period of 4 weeks.
Explanation:
Mary spends 2 2/3 hours on math homework and 3 1/3 hours on art homework each week.
To find out how much time she spends on both subjects over 4 weeks, first, we add the weekly hours:
2 2/3 + 3 1/3 = 6 hours per week.
Next, we multiply this weekly total by 4 to determine the monthly total: 6 hours/week × 4 weeks = 24 hours.
Therefore, Mary spends a total of 24 hours on math and art homework over 4 weeks.
Jennifer's bill for 6 cans of grape juice and 4 cans of apple juice was $13.10. When she got home she found out that she should have bought 4 cans of grape juice and 6 cans of apple juice. Although she mixed up the order, she did save 60 cents. What is the cost per can of apple and grape juice
Solve the system using substitution and elimination.
Convert your equations to slope intercept form and identify the variables for your x and y axes. Then graph.
SHOW ALL WORK
Answer:
Part 1) The system is solved using elimination
The cost per can of grape juice is [tex]\$1.19[/tex] and the cost per can of apple juice is [tex]\$1.49[/tex]
Part 2) The system is solved using substitution
The cost per can of grape juice is [tex]\$1.19[/tex] and the cost per can of apple juice is [tex]\$1.49[/tex]
Part 3) The system is solved by graphing
The graph in the attached figure
Step-by-step explanation:
Part 1) Solve the system by elimination
Let
x----> the cost per can of grape juice
y----> the cost per can of apple juice
we know that
[tex]6x+4y=13.10[/tex] -----> equation A
[tex]4x+6y=13.10+0.60[/tex]
[tex]4x+6y=13.70[/tex] -----> equation B
Solve the system by elimination
Multiply the equation A by -6 both sides
[tex]-36x-24y=-78.6[/tex] -------> equation C
Multiply the equation B by 4 both sides
[tex]16x+24y=54.8[/tex] -------> equation D
Adds equation C and equation D
[tex]-36x-24y=-78.6\\16x+24y=54.8\\----------\\-36x+16x=-78.6+54.5\\-20x=-23.8\\x=1.19[/tex]
Substitute the value of x in the equation A
[tex]6(1.19)+4y=13.10[/tex]
[tex]4y=5.96[/tex]
[tex]y=1.49[/tex]
therefore
The cost per can of grape juice is [tex]\$1.19[/tex]
The cost per can of apple juice is [tex]\$1.49[/tex]
Part 2) Solve the system by substitution
Let
x----> the cost per can of grape juice
y----> the cost per can of apple juice
we know that
[tex]6x+4y=13.10[/tex]
[tex]4y=-6x+13.10[/tex]
[tex]y=-1.5x+3.275[/tex] -----> equation A
[tex]4x+6y=13.10+0.60[/tex]
[tex]4x+6y=13.70[/tex]
[tex]6y=-4x+13.70[/tex]
[tex]y=-(4/6)x+13.70/6[/tex]
[tex]y=--0.67x+2.28[/tex] -----> equation B
Substitute equation B in equation A and solve for x
[tex]-0.67x+2.28=-1.5x+3.275[/tex]
[tex]1.5x-0.67x=3.275-2.28[/tex]
[tex]0.83x=0.995[/tex]
[tex]x=1.19[/tex]
Find the value of y
Substitute the value of x in the equation A
[tex]y=-1.5(1.19)+3.275=1.49[/tex]
therefore
The cost per can of grape juice is [tex]\$1.19[/tex]
The cost per can of apple juice is [tex]\$1.49[/tex]
Part 3) Solve the system by graphing
we have
[tex]y=-1.5x+3.275[/tex] -----> equation A
[tex]y=-(4/6)x+13.70/6[/tex] -----> equation B
Remember that
The solution of the system of equations is equal to the intersection point both lines
The solution is the point [tex](1.19,1.49)[/tex]
see the attached figure
therefore
The cost per can of grape juice is [tex]\$1.19[/tex]
The cost per can of apple juice is [tex]\$1.49[/tex]
The numbers 4 through 14 are placed in a
bowel and drawn at random then replaced
after being drawn. What is the probability of
drawing the number 14 and then a number
less than 12?
The probability of drawing the number 14 is 1/10 (because there are 10 different numbers to pick from). The probability of drawing a number less than 12 is 8/10 (or 4/5 simplified). Multiply the fractions: 1/10 *4/5 = 4/50. Simplify to 2/25. The probability of drawing 14 and then a number less than 12 is 2/25.
Each person in the vale family drinks 481/2 ounces of water a day how much water will each person drink in 7 days
Each person in the Vale family will drink a total of 339.5 ounces of water over the course of 7 days.
The student is asking how much water in ounces each person in the Vale family will drink over the span of 7 days if each person drinks 48.5 ounces of water daily.
To find the total amount of water consumed by one person in 7 days, we multiply the daily intake by the number of days:
48.5 ounces/day imes 7 days = 339.5 ounces
So, each person will drink a total of 339.5 ounces of water in 7 days.
An elevator in a hotel moves at 20 feet per second. leaving from the ground floor, its height in feet after t seconds is given by the formula h(t)=20t. A bolt comes loose in the elevator shaft above, and its height in feet after falling for t seconds is given by h(t)=-16t^2+200. At what time and at what height does the bolt hit the elevator?
Answer:
After 7.5 seconds and a height of 0
Step-by-step explanation:
The time taken for the bolt to hit the elevator is 3 seconds, at a height of 60 feet.
Given that the elevator height is h(t)=20t while the bolt height is given by h(t)=-16t² + 200.
At the point when the bolt hit the elevator, they would be at the same height, hence:
-16t² + 200 = 20t
16t² + 20t - 200 = 0
t = -4.2 or t = 3
Therefore the time taken for the bolt to hit the elevator is 3 seconds, the height is:
h(3) = 20(3) = 60 feet
The time taken for the bolt to hit the elevator is 3 seconds, at a height of 60 feet.
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F(x)=-3x+4 and g(x)=x^2 what is (g ° f)(0)
Answer:
[tex]\left(gof\right)\left(0\right)=16[/tex]
Step-by-step explanation:
Given functions are [tex]f\left(x\right)=-3x+4[/tex] and [tex]g\left(x\right)=x^2[/tex].
Using both functions we need to find about what is the value of [tex]\left(gof\right)\left(0\right)[/tex]. That can be done as shown below:
[tex]\left(gof\right)\left(0\right)[/tex]
[tex]=g\left(f\left(0\right)\right)[/tex]
[tex]=g\left(-3\left(0\right)+4\right)[/tex]
[tex]=g\left(0+4\right)[/tex]
[tex]=g\left(4\right)[/tex]
[tex]=4^2[/tex]
[tex]=16[/tex]
Hence final answer is [tex]\left(gof\right)\left(0\right)=16[/tex].
The total surface area of a cube is 600 sq cm what is the length of one edge of the cube
Answer:
4.64
Step-by-step explanation:
s = 6a^3
600=6a^3
100 = a^3
solve for a which would be 4.64
Type the correct answer in each box. Use pi= 22/7, and round your answers to the nearest interger. The perimeter of the largest cross section of a sphere is 88 centimeters. The radius is 14 cm. The volume of the sphere is __ cm^3
Answer:
11,499 cm^3
Step-by-step explanation:
The volume of a sphere is given by the formula [tex]V=\frac{4}{3}\pi r^3[/tex]
The radius is given as 14, we plug it into the formula and find the volume:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}(\frac{22}{7}) (14)^3\\V=11498.66[/tex]
rounded to nearest integer, the volume is 11,499
Answer:
r=14 cm
V=11499 cubic cm
Step-by-step explanation:
If the radius of the sphere is r cm, then the perimeter of the largest cross section is the circumference of the circle qith radius r. Thus,
[tex]88=2\pi r,\\ \\r=\dfrac{88}{2\pi}=\dfrac{44}{\pi}=\dfrac{44}{\frac{22}{7}}=\dfrac{44}{1}\cdot \dfrac{7}{22}=14\ cm.[/tex]
Thvolume of the sphere can be calculated using formula
[tex]V=\dfrac{4}{3}\pi r^3.[/tex]
Since r=14 cm, we get
[tex]V=\dfrac{4}{3}\cdot \dfrac{22}{7}\cdot 14^3=\dfrac{4\cdot 22\cdot 2\cdot 14^2}{3}=\dfrac{34496}{3}\approx 11499\ cm^3.[/tex]
Distance formula: Does the point (2, rt sqr. 6 ) lie on the circle shown? Explain.
Answer:
Thus, the fourth answer choice is the correct one
Step-by-step explanation:
Let's check this, using the Pythagorean Theorem:
"Yes, the distance from (0, 0) to (2, square root 6 ) is 3 units."
Does 2² + (√6)² = 3²?
Does 4 + 6 = 9? NO. .
Isaac is working as a security guard. He earns $8.45 an hour. He earns double time for any overtime over 40 hours. Last week he worked 44 hours. How much did he earn last week? (Hint: double time means 2 times the regular hourly rat.)
your answer would be $405.60
The answer is 709.8 You would do 8.45 times 40 = 338 now since he did overtime you multiply it by 2. 338*2= 676. He also did another 4 hours 8.45*4=33.8 now you add these together 33.8+676 = 709.8
Segments Ra and Ny are best described as which of the following
Answer:
B
Step-by-step explanation:
B). RA and NY are perpendicular segments
Answer:
The correct answer option is B. Perpendicular segments.
Step-by-step explanation:
We are given two segments RA and NY and we are to determine whether which of the given answer options describe them the best.
Since the angles ∠RDA and ∠NDY are perpendicular angles and they lines RA and NY intersect each other at point D so the formed segments are also perpendicular.
Therefore, the option which best describes this is B. Perpendicular segments.
An ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin. Which is the equation of the ellipse in standard form?
ANSWER
[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]
EXPLANATION
The given ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin.
The equation of an ellipse with vertex on the y-axis and center at the origin is given by
[tex]\frac{ {y}^{2} }{a ^{2} } + \frac{ {x}^{2} }{ {b}^{2} } = 1[/tex]
[tex]\frac{ {y}^{2} }{( - 7) ^{2} } + \frac{ {x}^{2} }{ {4}^{2} } = 1[/tex]
[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]
The equation of the ellipse with a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin is x^2/16 + y^2/49 = 1.
Explanation:To find the equation of the ellipse in standard form, we need to identify the lengths of the major and minor axes. The given vertex at (0, -7) indicates that the semi-major axis length, a, is 7 because the distance from the center to a vertex measures the semi-major axis. Similarly, the co-vertex at (4, 0) represents the semi-minor axis length, b, which is 4.
Since the center is at the origin (0, 0), the standard form of the ellipse equation is given by x^2/b^2 + y^2/a^2 = 1. Plugging the values of a and b, we get x^2/4^2 + y^2/7^2 = 1. So, the equation of the ellipse is x^2/16 + y^2/49 = 1.