Emma has $5,000 total invested.
Let's call the total amount Emma has invested "x".
Emma has half of her investments in stock paying a 10% dividend, so that portion of her investment earns 0.10(x/2) = 0.05x in annual interest.
The other half of her investments are in a stock paying 14% interest, so that portion of her investment earns 0.14(x/2) = 0.07x in annual interest.
The total annual interest Emma earns is $600, so we can set up the following equation:
0.05x + 0.07x = 600
0.12x = 600
x = 5000
Therefore, Emma has a total of $5000 invested.
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What percent of 125 is 375?
A) 33.33%
B) 250%
C) 300%
D) 468.75%
Show work
Answer:
To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.
375 / 125 = 3
So 375 is 3 times 125. Multiplying 3 by 100, we get:
3 * 100 = 300%
So the correct answer is C) 300%.
Succes!
Answer:
C) 300%
Step-by-step explanation:
Percent of 125 means the value of x/125.
Where x is the value 375.
375/125 = 3
3 * 1 =
3 * 100% = 300%
It can be mistaken as 33.33% since 125 is 33.33% of 375.
^^ This question is asking 125 is what percent of 375.
But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.
A bag with 8 marbles has 4 red marbles, 3 blue marbles, and 1 yellow marble.A marble is chosen at random. What is the probability that it is red? Write your answer as a fraction in simplest form.
SOMEONE PLEASE HELP ME IM SO STUCK
Answer:
1/4
Step-by-step explanation:
First you add all of the marbles in the bag which is 16 marbles. The fraction of red marbles to the total would be 4/16. In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.
y=x^2-2x+7
i need help finding the axis of symmetry,the domain, the y-intercept and x intercept
The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .
Explain about the features of parabolic function?A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.
The following characteristics define a basic parabola:
The y-axis, a symmetry axis, is where it is symmetric.At the origin, marking the minimal turning point, y has its minimum value. It is sometimes referred to as the parabola's vertex.The parabola's arms are infinitely long.Thus, from the given graph the value are obtained as:
the axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .Know more about parabolic function
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a storage container holding 1600cubic feet of rice is 8 feet deep x 10 feet wide. How long in feet is the storage container?
Answer:
20 feet.
Step-by-step explanation:
The container is assumed to be a rectangular prism.
The volume would be length × width × height.
l × 10 × 8 = 1600
l × 80 = 1600
l = 1600/80
l = 20
The storage container is 20 feet long.
The length of the storage container is 20 feet long.
What is the volume of cuboid? What is a mathematical function, equation and expression? The volume of cuboid is given by → V{C} = L x B x H function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a storage container holding 1600 cubic feet of rice is 8 feet deep x 10 feet wide.
The volume of cuboid is given by -
V{C} = L x B x H
So, we can write -
1600 = L x 8 x 10
80L = 1600
L = 20 feet
Therefore, the length of the storage container is 20 feet long.
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The Student council sponsored a talent show to raise money. They charged 5 dollars admission for each adult and 2 dollars for each student . A total of 248 people attend the show and the made 715 dollars. How many students attended the talent show.
The Solution.
Let the number of adults that attended the show be x ;
and the number of students that attended the show be y.
Representing the problem in equations, we get
\(\begin{gathered} x+y=248\ldots\text{eqn}(1) \\ 5x+2y=715\ldots eqn(2) \end{gathered}\)Solving the pair of equations simultaneously by elimination method:
To eliminate the terms in x, we multiply through eqn(1) by 5 to get,
\(\begin{gathered} 5(x+y=248) \\ 5x+5y=1240\ldots eqn(3) \end{gathered}\)Subtracting eqn(2) from eqn(3), we get
\(\begin{gathered} 5x+5y=1240\text{ ...eqn(3)} \\ -(5x+2y=715)\ldots eqn(2) \\ So, \\ 3y=525 \\ \text{Dividing both sides by 3, we get} \\ y=\frac{525}{3}=\text{ 175 students} \end{gathered}\)Thus, the number of students that attended the talent show is 175.
What is another way to write 54?
A. 5×5×5×5
B. 4×4×4×4×4
C. 4+4+4+4+4
D. 5+5+5+5
Answer:
None of the above
Step-by-step explanation
is this a trick question?
Option A is correct, 5×5×5×5 expression is another way to write the 5⁴
What is Expression?An expression is combination of variables, numbers and operators.
Let us find the other way to write the expression 5⁴.
Five to the power of four.
Five to the power of four is nothing but multiplying five four times.
5⁴ = 5×5×5×5
5×5×5×5 is another way to write the expression 5⁴
Hence, Option A is correct, 5×5×5×5 is another way to write the 5⁴
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I xeroxed 30 sheets, each cost 50 cents. How much reais will I have to pay?
Answer: The result of the exercise is BRL 15.00
Step by step explanation:
To find the total value, simply multiply the number of sheets and the price per copy.
\(\sf{ \bold{30 * 0.50} ={\boxed{\bold{15 \: \: real}}} }\)
Rpt: The result of the exercise is BRL 15.00
Is 5x/4-y/3 = 6 linear or non linear
Answer:
linear
Step-by-step explanation:
To tell if a function is linear, simply look at the exponents of the variables "x" and "y". Both of these exponents will have to be one and only one (1), any other exponent will turn the function into non-linear. Radicals also count as exponents different than one, because they are fractional exponents. Since there are no radicals or exponents written in this equation, we can conclude that all variable exponents are one (1), hence it's a linear equation.
A garden table and a bench cost $994 combined. The garden table costs $44 more than the bench. What is the cost of the bench?
Answer:
Step-by-step explanation:
the answer above was the first one to correctly state this, but in case you are wondering, one way they may have done it is
1: subtract the difference between the two items
$994 - $44 = $950
2: divided the new number by 2
$950 / 2 = $475
3: came up with the answer
$475 is the price for the bench
im not saying thats how they DID do it, but it is one way of doing it
Campbell’s paycheck was $260. She put 1/4 of her paycheck into a savings account. How much does does she have remaining from her paycheck?
Answer:
%195
Step-by-step explanation:
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
Look at this triangle.
B
8 cm
A А
22 cm
С
Work out length AB.
Answer:
AB=23.40cm
Step-by-step explanation:
(AB)²=(AB)²+(BC)²
(AB)²=22×22+8×8
=484+64
(AB)²=548
AB=23.40 cm
hope it helps...
have a great day!!
What is the slope of the line?
Answer:
24'
Step-by-step explanation:
the slop aims for the angle in which the 78 can go in: hope this helps!!
124 Compare an SAT score with an ACT score. Jessica scores 1830 on the SAT. Ashley scores 27 on the ACT. Assuming that both tests measure the same thing, who has the higher score? Report the z-scores for both students.
Jessica has the higher score because her z score on the SAT is 1.05, which is greater than Ashley's z score on the ACT, which is 1.02.
Jessica scores 1830 on the SAT.
Ashley scores 27 on the ACT.
Assuming that both tests measure the same thing, then we have to determine who has the higher score.
Consider the z-score for Jessica's SAT score of 1830.
z = (x - μ)/σ
z = (1830 - 1498)/316
z = 332/316
z = 1.05
Consider z for Ashley, who has an ACT score of 27.
z = (27 - 21.5)/5.4
z = 5.5/5.4
z = 1.02
Jessica has the higher score because her z score on the SAT is 1.05, which is greater than Ashley's z score on the ACT, which is 1.02.
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A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.
To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.
Here are the vocabulary words and their corresponding examples:
Vocabulary Word: In-state
Example: A student who is a resident of the same state where the university is located.
They pay lower tuition fees compared to out-of-state or foreign students.
Vocabulary Word: Out-of-state
Example: A student who is not a resident of the state where the university is located.
They typically pay higher tuition fees compared to in-state students.
Vocabulary Word: Foreign
Example: A student who is from a country other than the country where the university is located.
They are international students who may have different visa requirements and tuition fees.
To match these vocabulary words with their corresponding examples:
In-state: A student from the same state as the university, paying lower tuition fees.
Out-of-state: A student from a different state than the university, paying higher tuition fees.
Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.
By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.
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Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Answer:
2 hours 15 minutes
Step-by-step explanation:
Given that :
Ben's speed = 3 mi/hr
One and half hours after Ben leaves = 1.5 hours
Ben's distance = 3 mi/hr * 1.5 = 4.5 miles
Amanda's speed = 5 mi/hr
Time taken before Amanda catches up:
Let time taken = x
Distance = speed * time
Ben's distance = Amanda's distance
4.5 mi + (3 * x) = 5 * x
4.5 + 3x = 5x
4.5 = 5x - 3x
4.5 = 2x
x = 4.5 / 2
x = 2.25 hours
Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes
It would take Amanda 2.25 hours to catch up with Ben
Speed is the ratio of distance to time. It is given by:
Speed = distance/time
Given that Ben covers a distance d at time t, hence:
3 = d/t
d = 3t
Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5
5 = d/(t - 1.5)
d = 5t - 7.5
Since they catch up, hence:
3t = 5t - 7.5
2t = 7.5
t = 3.75 hours
Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours
Hence it would take Amanda 2.25 hours to catch up with Ben.
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PLEASE HELP ME QUICK!!!Jolene mixes 3 parts of
white paint to 8 parts of
red pant to make pink. How
many parts of red pant
should she mix with 12 parts
of white pant to get the
same shade
Answer: 32 parts of red paint.
Step-by-step explanation: 3:8
They multiplied the 12 by 4 so you have to do the same thing to the 8 making the 8 a 32
Final ratio would be 12:32
What is the average rate of change of g over the interval [-1 4]
Answer:
your answer will be -1.2
Step-by-step explanation:
hope it helps you
have a great day
. Solve the following
1. Jane had 4 apples
. She divided them so that she had just enough
fourths of an apple for each friend and herself. How many of them
were there?
20
2. Four-eighths of the class built a diorama while
of them built a
wishing well. Which activity had more members?
15
3. Renee Ann has a rope
that is
6/4 meters long. Baby has one that is 15/10 meters long. Who has a long rope?
Answer:
Step-by-step explanation:
1. If there are 4 apples, each apple has 4 fourths x 4 apples =16 fourths
2. Something is missing???
3. 6/4 x 5/5=30/20, 15/10 x 2/2=30/20 so both are same length
PLEASE HELP WILL GIVE BRAINLIEST
QUESTION : find the measure of angle A
Hint : solve for x then replace in angle A
please help !
Angle A should be 40 since x=10
Answer:
X=10°
Step-by-step explanation:
on the picture
if it's helpful ❤❤❤❤
THANK YOU.
Where would √29 go on the number line
Evaluate if m = 16 and p = 2. 1/2m + 3p A) 10 B) 14 C) 18 D) 48
Answer:
B) 14
Step-by-step explanation:
We can plug in the values of m and p into the equation:
1/2 m + 3p = 1/2 (16) + 3 (2) = 8 + 6 = 14.
Rena, a pharmacy technician, is looking to make a 45%
solution. She has the alligation pictured below.
A.
20
45
Which solution can be used to fill in location A?
O 35
O 40
O45
O 55
The solution that can be used to fill in location A is 45%.
In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.
To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.
In this case, the concentration of 45% is closer to location A than the concentration of 20%.
This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.
Therefore, the solution that can be used to fill in location A is 45%.
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find the slope of the line passing through the points (6,-7) and (3,-3) .
Answer:
y2-y1 / x2-x1
-4/3
Step-by-step explanation:
Answer:
-4/3
Step-by-step explanation:
When given two points, the slope is found by
m = (y2-y1)/(x2-x1)
= (-3- -7)/(3 -6)
= (-3+7)/(3-6)
= 4/-3
= -4/3
z – yx + x; use x = 2, y=-3, and z=4
Step-by-step explanation:
z-yx+x
4-(-3•2) +2
4-(-6)+2
4+6+2
12
Answer:
12
Step-by-step explanation:
4-(-3)•2+2
4+3•2+2
4+6+2
10+2
12
Write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Do not simplify any part of the expression.
An expression for given sequence of operations is: j + 3^9
In this question, we need to write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Consider the part of given statement,
raise 3 to the 9th power
We write this as: 3^9
then we add this result to j.
So, we get an expression: 3^9 + j
Therefore, an expression for given sequence of operations is: j + 3^9
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Drag the tiles to the correct boxes to complete the pairs.
Not all tiles will be used.
Match the points with their polar coordinates.
( Image below )
A, B, C, D, E, F
1. ( -4, -3pi/4 ) --> _____
2. ( 4, 7pi/4 ) --> _____
3. ( 4, 3pi/4 ) --> _____
4. ( -4, -7pi/4 ) --> _____
{ Please write an explanation of your work. I've tried solving this on my own, but I still couldn't figure it out. Thank you for taking the time and effort to help me with this math question. :) }
Answer:
Okay, so I don't have a full answer, but I know that number 3 is C.
Step-by-step explanation:
We can easily knock off A and B as they are in the 1 circle and 1-4 is all on circle 4. I know what 3 is because it was correct on my test. However, I'm not sure about the other three other than that the other letters you should use is D, E, and F. Hope this helps somewhat.
Frame three equations with solution x=-5
The three equations with solution x=-5 Are as follows:
25 + x = 15 ............... equation 1.
7x = -35 .......................equation 2.
15 + x = 10 ..................equation 3
In mathematics, what is linear equation?There is not more then one or two variables in a linear equation. In a linear equation, no variable is raised to a power larger than one or utilized as the denominator of a fraction. When you locate two values that satisfy a linear equation and display them on a coordinate grid, every one of the points falls on the same line.
What is a linear equation with one variable?A linear equation in one variable seems to be an equation that has just one solution and is stated in the form ax+b = 0, where a but instead b are two integers and x is a variable. 2x+3=8, for example, is a mathematical expression with a single variable.
According to the given information:x=-5 Given
This also can be written as :
25 + x = 15 ............... equation 1.
7x = -35 .......................equation 2.
15 + x = 10 ..................equation 3
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I need help with this its hard.