Answer:
It will take 6 years
Step-by-step explanation:
Marshall starts at 36,000 dollars and Jim starts at 51,000, multiply the pay raises by 6 and for Jim you get $9,000 and Marshall gets $24,000 pay raise in 6 years.
Sorry If It Is a bit confusing, I'm not really good with words. :/
Both of them will get the same salary after 6 year.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Marshall Earns a salary of $36,000, and each year he receives a $4,000 raise. Jim earns a salary of $51,000, and each year he receives a $1,500 raise.
Let x be the year in which they will get the same salary
Establishing the equation, we get
36000+4000x = 51000+1500x
Simplifying the equation,
36+4x = 51+1.5x
2.5x = 15
x = 6
Hence, Both of them will get the same salary after 6 year.
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At the beginning of year 1, Sam invests 700 at an annual compound interest rate of 5%, he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 4? what is the balance?
a) 805.
b) 825.42
c) 850.85
d) 810.34
Answer:
(d) 810.34
Step-by-step explanation:
The explicit formula used for calculating the account's balance is given by:
A= P(1+R)^T
where: A= Amount (account's balance)
P= Principal (700)
R= Rate (5%)
T= Time (3 years) [since, the balance is calculated in the beginning of the forth year]
A= P(1+R)^T
A = 700(1+0.05)^3
= 700(1.05)^3
= 700*1.157
= 810.34
Solve w^3=15 where w is a real number
A spinner is divided into four equal sections labeled 1, 2, 3, and 4. Another spinner is divided into three equal sections labeled A, B, and C. Simon will spin each spinner one time.
How many of the possible outcomes have an even number or a B?
Answer:
The possible outcome could be 4 or 3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
There are 12 possible outcomes. Of the 12, 6 are even and 4 have B's. That would give up 10/12. But then you would subtract the possible outcomes that are BOTH even AND have a B. Only 2 possible outcomes have an even number and the letter B. So 10 minus 2 is 8. That would give you 8/12. Simplify and you will get your answer of 2/3!
Just took the test, so trust me on this fellow K12ers!
URGENT!! Which shape has six square, flat sides that are equal in size?
Answer: cube
Step-by-step explanation:
Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides
The shape with six equal square, flat sides is known as a cube.
Explanation:A cube is a three-dimensional geometric shape characterized by six equal square faces. Each face of the cube is identical, and the shape is formed by connecting these faces at right angles. This regular polyhedron is fundamental in mathematics and has practical applications in various fields. Cubes are extensively used in geometry, trigonometry, and calculus to illustrate concepts such as volume and surface area. In addition to its mathematical significance, cubes are prevalent in everyday objects like dice and building blocks. Understanding the properties of cubes is crucial in engineering and architecture, where it aids in designing structures and solving spatial problems efficiently.
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Find the midpoint between the complex numbers. Show all work for full credit. z1= -8 + 3i z2= 7 - 4i
Answer:
[tex]z_m=-\frac{1}{2}-\frac{1}{2}i[/tex]
Step-by-step explanation:
The given complex numbers are;
[tex]z_1=-8+3i[/tex]
and
[tex]z_2=7-4i[/tex].
The midpoint of any two complex numbers,
[tex]z_1=a_1+a_1i[/tex] and [tex]z_2=a_2+a_2i[/tex] is
is given by,
[tex]z_m=\frac{a_1+a_2}{2}+\frac{a_1+a_2}{2}i[/tex].
The midpoint of the complex numbers can be found by adding the corresponding real parts and imaginary parts and then dividing each by 2.
This is the same as;
[tex]z_m=\frac{z_1+z_2}{2}[/tex]
[tex]\Rightarrow z_m=\frac{-8+3i+7-4i}{2}[/tex]
[tex]\Rightarrow z_m=\frac{-8+7+3i-4i}{2}[/tex]
[tex]\Rightarrow z_m=\frac{-1-i}{2}[/tex]
[tex]\Rightarrow z_m=-\frac{1}{2}-\frac{i}{2}[/tex]
or
[tex]\Rightarrow z_m=-\frac{1}{2}-\frac{1}{2}i[/tex]
What is the value of X im the figure?
Answer:
x=36
Step-by-step explanation:
< CAB and <EAD are vertical angles and vertical angles are equal
<CAB = <EAD
36 = x
An animal shelter has 12 cats. Of these cats, 5 weigh no more than 7 lbs. What is the approximate percentile rank of the cats that weigh 7 lbs?
Answer:
84 lbs
Step-by-step explanation:
Andrew and Mark make 4 gallons of ice tea for their ice tea stand.How many quarts will they will be able to sell? If they charge $4.00 per quart,how much money will they make if they sell it all?
State which of the following ordered pairs is a function. Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) Set B: (1, 4), (2, 3), (3, 2), (4, 1) Set C: (2, 1), (3, 2), (2, 3), (1, 4) a. Set A b. Set B c. Both Set A and Set B d. Set C Please select the best answer from the choices provided
Answer:
Both set A and B.
Step-by-step explanation:
Set A: (-1, 0), (-2, 1), (4, 3), (3, 4)
Set B: (1, 4), (2, 3), (3, 2), (4, 1)
Set C: (2, 1), (3, 2), (2, 3), (1, 4)
In order for (x,y) to be a function, only one x get the value of y, but many x'es can get the value y.
Looking at the set A and B, and the definition above, we can say that they are functions.
What about set C? It is not a function, as x = 2 is equal 1 or 3, which does not meet the condition from the definition.
Final answer:
Both Set A and Set B are functions because each member of the domain in these sets maps to a unique value in the range. Set C is not a function because the same first element maps to different values in the range. Both set A and B are the answers.
Explanation:
To determine which set(s) represent a function, we need to ensure that each element of the domain maps to one and only one value in the range. By examining each set:
Set A: (-1, 0), (-2, 1), (4, 3), (3, 4): Every first element is unique, indicating a function.
Set B: (1, 4), (2, 3), (3, 2), (4, 1): Similarly, all first elements are unique, indicating a function.
Set C: (2, 1), (3, 2), (2, 3), (1, 4): The number 2 appears twice as a first element with different second elements, violating the definition of a function.
Therefore, both sets A and B represent functions since they each map every member of the domain to a unique member of the range, while set C does not.
The answer is b. Both Set A and Set B are functions.
Alonzo takes 12 minutes to run 6 times around a 400-meter track. Assuming he runs at a constant speed, how long does he take to run 1-kilometer?
Answer:
5 minutes to run 1 kilometer
Step-by-step explanation:
Alonzo takes 12 minutes to run 6 times around a 400-meter track.
6 times around a 400 m track
400 * 6 = 2400 meters
It take 12 minutes to run 2400 meters
2400 meters = 2400/1000 = 2.4km
distance = 2.4 km and time = 12 minutes
Now we find our constant speed
[tex]Distance = speed * time[/tex]
2.4 = speed * 12
divide by 12 on both sides
speed = 0.2
so speed is 0.2 km per minute
Now we find out time when distance = 1km
Distance = speed * time
1 = 0.2 * t
divide by 0.2 on both sides
5 = t
So it take 5 minutes to run 1 kilometer
A farm tree is going out of business. It has 45 maple trees and 27 pine trees left for sale. How much money would the owners make if they sell all the trees?
NEED HELP WITH ALL THESE PROBLEMS !!
Answer:
1) ASA 2) In explanation 3) I cant see all of the problem
Step-by-step explanation:
For Number 1 you need one more thing to prove that the triangles are congruent. You could see that there is a pair of vertical angles and vertical angles are congruent so you could use that. Angle DEA is congruent to Angle CEB. When there is a side in between two congruent angles, that is ASA.
For Number 2 it really is almost the same as number 1. First you write the given, then you write that angle DEA is congruent to angle CEB and the reason for that is that vertical angles are congruent. Lastly, you say that triangle ADE is congruent to triangle CBE.
PLEASE HELP ME!
Sketch the linear function f(x) = 1/2(3x + 1)
1. Which key feature of the graph is true?
A) y-intercept (0, −1)
B) x-intercept (1/6,0)
C) x-intercept (1/3, 0)
D) y-intercept (0, 1/2)
Answer:
it's C
Step-by-step explanation:
Answer: c
x-intercept ( 1 /3 , 0)
Step-by-step explanation:
How many solutions does the system of the equation have? y=-4x+2
24x+6y=6
Answer:
0 solutions
Step-by-step explanation:
they have the same slope and different y intercepts so they never intersect
Answer:
This equation has no solution
Step-by-step explanation:
To find our many solution the system of equation has, we need to solve simultaneously, we can either solve by substitution method, by elimination method or both method.
We will be using substitution method to solve.
Here are the system of equation;
y= -4x+2 ----------(1)
24x+6y=6---------(2)
First, we are going to substitute equation (1) in equation (3)
{what we mean by substituting equation (1) in equation (2) is then any where we see y in equation (2), we will be replacing it by[-4x + 2]}
24x + 6(-4x + 2) = 6
Then, we will go ahead and open the bracket
24x - 24x + 12 =6
This simply shows that there is no solution to this system of equation
If Michael bought the 5 m how many inches did she walk
Answer:
1 meter = 39.370 inches.....so 5 meters = (5)(39.370) = 196.85 inches
which of the following numbers must be added to complete the square in the equation below? x^2+6x-19=23 A. 19 B. -9 C. 3 D. 9
Answer:
the answer is D
Step-by-step explanation:
Answer:
D. 9
Step-by-step explanation:
How to solve for x and y
Answer:
x = 26.4 y= 17
Step-by-step explanation:
Set up proportions.
To find x:
Set 12 over x is equal to 10 over 22.
12 times 22 = 264
264 / 10 =x
x = 26.4
To find y:
Set y over 37.4 is equal to 10 over 22.
37.4 times 10 = 374
374 / 22
y = 17
Distance formula
D = ( x2 - x1)2 + (y2 - y1)2
Use the distance formula to find the distance between each set of the points:
(1,4) and (-2,3)
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-2-1)^2+(3-4)^2}\implies d=\sqrt{(-3)^2+(-1)^2} \\\\\\ d=\sqrt{9+1}\implies d=\sqrt{10}[/tex]
To find the distance between two points (1,4) and (-2,3) using the distance formula, perform the relevant calculations and steps.
Explanation:To find the distance between two points using the distance formula, you can follow these steps:
Identify the coordinates of the two points. In this case, the coordinates are (1,4) and (-2,3).Plug the values of the coordinates into the distance formula: D = (√((x2 - x1)^2 + (y2 - y1)^2)).Calculate the difference between the x-coordinates and the y-coordinates separately. For this example, (x2 - x1) = (-2 - 1) = -3, and (y2 - y1) = (3 - 4) = -1.Square the differences calculated in the previous step: (-3)^2 = 9 and (-1)^2 = 1.Add the squared differences together: 9 + 1 = 10.Take the square root of the sum to find the distance: √10 ≈ 3.16.So, the distance between the points (1,4) and (-2,3) is approximately 3.16 units.
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What construction tool would be used to measure an angle?
Answer:
A protractor.
Step-by-step explanation:
For every 20 litres of petrol a car can run for 75 km.
How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 196 km?
Answer:
52.3 litres.
Step-by-step explanation:
The car consumption is 75/20 = 3.75 km/litre.
Volume of petrol needed to travel 196 km
= 196 / 3.75 = 52.3 litres.
You decide to market your own custom computer software. You must invest $3255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, write a system of equations at determine how many copies you must sell to break even
WILL GIVE BRAINLIEST
graph f(x) = -0.5x + 3
please tell me the points to put on the graph
thanks :)
Answer:
- 1/5
Step-by-step explanation:
the answer is the one highlighted #1
but to do this you must first change the decimal to a fraction. Personally i use a decimal calculator.
then you go to where the 3 is on the Y axes. since its positive 3 it would be 3 up instead of down.
then you count over how ever many the X is. this is 1/2 so you go over 1 time then up 2 times.
Personally I like the triangle method where u plot the +3 then draw on the line 1 over then 3 up
if u need to find out what the plot line u can keep doing that all the way up and just reverse it when u go down.
Does the point (2,2) lie on the circle (x-4)^2+(y-2)^2=4
Answer:
Yes, see attached plot
Step-by-step explanation:
A zookeeper thinks there is a problem with the naked-mole rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats. 13 days in he counts 108.
1.) write an equation in point-slope form that represents the situation (define your variables)
2.) convert your equation to slope-intercept form
In this exercise we have to use the knowledge of equations to write the intersection equation, so we have to:
The formula for setting up an equation is given by:
[tex](y - y1) = m(x - x1)[/tex]
1.) So by the formula above, substituting for the values given in the statement, then:
[tex](y - 120) = -2(x - 7)[/tex]
2.) The equation in slope intercept form will be:
[tex](y - 120) = -2(x - 7)\\(y - 120) = -2*x + (-2*-7)\\y - 120 = -2x + 14\\y = -2x + 134[/tex]
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a reciepe for 1 1/4 dozen cupcakes calls for 1 2/3 cups of flour, but Rashida has only 1 cup of flour. How many cupcakes can she make?
let's firstly convert the mixed fractions to improper fractions.
now, 1¼ dozen of cupcakes.... well, let's keep in mind that a dozen has 12 units, so 1¼ dozen is then 12(1¼) cupcakes total.
[tex]\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}~\hfill \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \stackrel{\textit{how many cupcakes in }\frac{5}{4}\textit{ of a dozen?}}{12\cdot \cfrac{5}{4}\implies \cfrac{12}{4}\cdot 5\implies 15} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} cupcakes&\stackrel{cups}{flour}\\ \cline{1-2}\\ 15&\frac{5}{3}\\[1em] c&1 \end{array} \implies \cfrac{15}{c}=\cfrac{~~\frac{5}{3}~~}{1}\implies \cfrac{15}{c}=\cfrac{5}{3} \\\\\\ 45=5c\implies \cfrac{45}{5}=c\implies \boxed{9=c}[/tex]
In the given case, Rashida can make approximately 9 cupcakes with 1 cup of flour.
To determine how many cupcakes Rashida can make with the 1 cup of flour she has, we need to calculate the conversion factor between the given measurement of 1 2/3 cups of flour and the available 1 cup of flour.
The conversion factor is found by dividing the available amount by the required amount
(1 cup ÷ 1 2/3 cups).
We can simplify the fraction to obtain a decimal,
1 ÷ (5/3) = 3/5 ≈ 0.6.
So, Rashida can make approximately
0.6 × 1 1/4 dozen = 0.6 × 15 = 9 cupcakes.
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PLEASE HELP!!
type the integer that makes the following addition sentence true
+ -6 = 1
It would be 7.
Here's why:
7 + - 6 = 1
1 = 1
It's a TRUE statement!
Hope this helps you!!!! :)
The integer value that makes the sentence true is 7, as in mathematics, adding a negative number 6 to a number, to yield 1, equates deducting 6 from that number to yield 1.
Explanation:This is a mathematics problem involving the concept of integer addition. In mathematics, adding a negative number is equivalent to subtracting that number's absolute value. Therefore, to find the integer that makes the addition sentence true, you would need to identify the number that, when subtracted by 6, equals 1.
So, the equation can be rewritten as X - 6 = 1. If you add 6 on both sides of the equation to isolate the variable X on one side, the equation becomes X = 1 + 6. As a result, it is clear that the integer value X that would make the equation + -6 = 1 true is 7.
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Students in band are selling oranges and grapefruit to earn money for a trip. Mrs.Whitten purchased three boxes of oranges and two boxes of grapefruit from a student for a total of $22.50. Mr. Rutig purchased one bag of oranges and four boxes of grapefruit, spending a total of $28.50. How much is one box of oranges?
Answer:
The cost of one box of oranges = $3.3
Step-by-step explanation:
Let x be cost of one box of oranges and y be the cost of one box of grapefruit.
We have been given that Mrs. Whitten purchased 3 boxes of oranges and 2 boxes of grapefruit from a student for a total of $22.50. We can represent this information as:
[tex]3x+2y=22.50...(1)[/tex]
Mr. Rutig purchased 1 box of oranges and four boxes of grapefruit, spending a total of $28.50. We can represent this information as:
[tex]x+4y=28.50...(2)[/tex]
We will solve our system of linear equations using substitution method.
From equation (1) we will get,
[tex]y=\frac{22.50-3x}{2}[/tex]
Substituting y's value in equation (2) we will get,
[tex]x+4*(\frac{22.50-3x}{2})=28.50[/tex]
[tex]x+2*(22.50-3x)=28.50[/tex]
Upon distributing 2 we will get,
[tex]x+45-6x=28.50[/tex]
[tex]x-6x=28.50-45[/tex]
[tex]-5x=-16.5[/tex]
[tex]x=\frac{-16.5}{-5}[/tex]
[tex]x=3.3[/tex]
Therefore, the cost of one box of oranges is $3.3.
Evaluate the expression when b=4 and y= -5
-b+5y
Answer:
-29
Step-by-step explanation:
-b+5y
We know that b=4 and y= -5
We can substitute these into the expression
-(4) +5(-5)
-4 -25
-29
Write the value of c that makes x^2+12x+c a perfect square trinomial.
Answer:
c = 36
Step-by-step explanation:
Use the formula (b/2)^2 to solve for the max or min.
ax^2 + bx + c
b = 12
(12/2)^2
6^2 = 36
You can check you work
y = x^2 + 12x + 36
y = (x + 6) (x + 6) It works!
Answer:
D 36
Step-by-step explanation:
how would you write 834,209 in word form
Answer:
eight hundred thirty four thousand two hundred nine
All you got to do is write the places and the number.
Plzzz mark brainlest and thank em would be very much thankful