Answer:
The initial total value of the investor's account was $580 + $5950 = $6530.
After a 5% increase, the value of the stock in Company A is now $580 + (0.05)(580) = $609.
After an 18% increase, the value of the stock in Company B is now $5950 + (0.18)(5950) = $7021.
The new total value of the investor's account is $609 + $7021 = $7630.
To find the percentage increase in the investor's stock account, we can use the formula:
percentage increase = [(new value - old value)/old value] x 100%
Plugging in the values, we get:
percentage increase = [(7630 - 6530)/6530] x 100% = 16.9%
Therefore, the total percentage increase in the investor's stock account is approximately 16.9%.
Answer:
Step-by-step explanation:
The current value of the stock in Company A is 105% of $580, or 1.05 * $580 = $609.
The current value of the stock in Company B is 118% of $5950, or 1.18 * $5950 = $7011.
The total value of the investor's stock account is $609 + $7011 = $7620.
The percentage increase in the investor's stock account is:
(7620 - 6550) / 6550 * 100% ≈ 16.3%
Therefore, the total percentage increase in the investor's stock account is about 16.3%.
I need the answer anyone please?????????????????? And explain it
Answer:correct
Step-by-step explanation:go to 1 then go up on the x axis and see that it goes to about three and do the same with three and you take the two y values and do the big number - the small number the do the same for x and you should get 22/2 and that makes a whole number of 12 BOOM
Suppose that a and b are integers with a < b How many numbers are in the list a, a+1, a+2.... b?
So I thought about doing a-(a-1) to get the first number to one so the list becomes 1,2,3 but i soon realized that does not work
The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
Read more about consecutive integers at:
https://brainly.com/question/10853762
#SPJ1
Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
For such more question on parentheses
https://brainly.com/question/172904
#SPJ8
The Bureau of Alcohol, Tobacco, and Firearms (BATF) has been concerned about lead levels in California wines. In a previous testing of wine specimens, lead levels ranging from 47 to 660 parts per billion were recorded. How many wine specimens should be tested if the BATF wishes to estimate the true mean lead level for California wines to within 10 parts per billion with 95% confidence? (Round your answer up to the nearest whole number.)
The number of specimens should be tested is 1352.
According to the statement
we have to given that the in testing of wine specimens, lead levels ranging from 47 to 660 parts per billion were recorded. and we have to find the number specimen should be tested.
so,
Using the uniform and the z-distribution, it is found that 1353 specimens should be tested.
For an uniform distribution of bounds a and b, the standard deviation is given by:
σ = \(\sqrt{\frac{(b-a^{2})}{12} }\)
and put the values a= 50 and b= 700 then the
standard deviation is 187.64
And here the critical value become 1.6 then
We want the sample for a margin of error of 10, thus, we have to solve for n with the help of value of m is 100.
Then n is 1352.
So, The number of specimens should be tested is 1352.
Learn more about confidence interval here
https://brainly.com/question/17097944
#SPJ1
A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
For such more questions on Sprinter Race Time Calculation
https://brainly.com/question/18963548
#SPJ8
50 points! Help (Vectors)
The magnitude of a vector a is the length of the vector.
We write it ||a||
We can draw a right triangle and apply the pythagoras theorem. The magnitude of a will be the hypotenuse :
||a||² = 3² + 3²
||a||² = 9 + 9
||a||² = 18
||a|| = √18 = √(9*2) = 3√2 ≈ 4.24
So the answeer is 4.24
Good Luck
Find the quotient of 3/5 3/7. Write your answer in the simplest form.
\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)
FIRST PERSON TO ANSWER WILL BE MARKED BRAINLEST
Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?
Answer:
Its B
stuff:
ITS BBBBBBBBBBBBBBBBBBBB
Answer:
B
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
2(2x - 4) = 3(x + 4)
Answer:
24
Step-by-step explanation:
i dont know if its correct
Solve.
4. Find the value of x in the diagram at the right.
Cellular Phones and Driving A research center claims that at most 50% of people believe that drivers should be allowed to use cellular phones with hands-free devices while driving. In a random sample of 150 U.S. adults, 58% say that drivers should be allowed to use cellular phones with hands-free devices while driving. At a = 0.01, is there enough evidence to reject the center's claim?
The conclusion of the hypothesis is that; the evidence is not sufficient to reject the claim that at most 50% of people believe that drivers should be allowed to use cellular phones with hands-free devices while driving.
How to test the hypothesis?Hypothesis testing is defined as the method used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.
Let us first define the hypothesis;
Null Hypothesis; H₀: p ≤ 0.5
Alternative Hypothesis; Hₐ: p > 0.5
The formula for z-score of proportions is;
z = (p^ - p)/√(p(1 - p)/n)
We are given;
p = 0.5
p^ = 0.58
n = 150
Thus;
z = (0.58 - 0.50)/√(0.5(1 - 0.5)/150)
z = 1.96
The p-value of z-score of 1.96 at a significance level of 0.01 is;
p-value = 0.025
The p-value is greater than the significance level and we fail to reject the null hypothesis and conclude that the evidence is not sufficient to reject the claim that at most 50% of people believe that drivers should be allowed to use cellular phones with hands-free devices while driving.
Read more about hypothesis testing at; https://brainly.com/question/15980493
#SPJ1
Find the value of x
Answer:
x = 20
Step-by-step explanation:
We know that the vertically opposite angles are equal.
Accordingly,
41 = 2x + 1
Subtract 1 from both sides.
41 - 1 = 2x
40 = 2x
Divide both sides by 2.
x = 20
What is the surface area of the prism below
The surface area is the total area of the surface of a 3-dimensional object. The surface area of the triangular prism is 63 m².
What is surface area of an object?The surface area is the total area of the surface of a 3-dimensional object. To find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.
The surface area of the prism is,
Surface area of the prism = 2(0.5×1.5×2) + (2.5×10) + (1.5×10) + (2×10)
= 3m² + 25m² + 15m² + 20m²
= 63 m²
Hence, the surface area of the triangular prism is 63 m².
Learn more about Surface area:
https://brainly.com/question/15096475
#SPJ1
1+1=? Need Help! Asap
By definition, Addition is a mathematical operation.
In this case, you have the following Addition given in the exercise:
\(1+1\)How much interest would 2000 earn, with simple interest, in two years at the rate of 1.2%?
The simple interest, in two years at the rate of 1.2% is 880
In this case, we must calculate how much interest 2000 would earn compounded yearly over two years at a rate of 1.2.
I = 880 in interest earned
Annually, the system may be evaluated in terms of simple interest.
A = P(rt) for the first year, where r = 1.2 and t = 1.
Therefore;
A = 2000(1.2×1).
A = 2400.
As a result, the revised Principal amount for the second year is 2400.
As a result, A' = 2400 (1.21).
A' = 2880.
As a result, the sum owing after two years is 2880.
However, because the initial principal is $2,000,
The interest is defined as I = A' - P, or I = 2880 - 2000.
I = 880 as a result of interest.
Simple interest is computed as S.I. = P R T, where P = Principal, R = Annual Rate of Interest in %, and T = Time, commonly expressed as the number of years. The interest rate is expressed as a percentage r% and is written as r/100.
The principle is the money borrowed from the bank or invested at the outset. P represents the principal.
Rate: The rate of interest at which the principle amount is handed to someone for a specific period of time; the rate of interest can be 5%, 10%, or 13%, for example. R represents the interest rate.
Time is the length of time for which the primary amount is supplied to someone. T represents time.
To learn more about Simple interest from the given link:
https://brainly.com/question/25845758
#SPJ9
We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However, acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.
Answer:
An alternative definition for the acceleration ax that can be written in terms of \(v_x\) and \(\frac{dv_x}{dx}\) is \(a_x=v_x \frac{dv_x}{dx}\)
Step-by-step explanation:
We know that :
\(a_x=\frac{dv_x}{dt}\)
Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of \(v_x\) and \(\frac{dv_x}{dx}\)
So, We will use chain rule over here :
\(a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}\)
Hence an alternative definition for the acceleration ax that can be written in terms of \(v_x\) and \(\frac{dv_x}{dx}\) is \(a_x=v_x \frac{dv_x}{dx}\)
The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is \(a_x = v_x \frac{dv_x}{dx}\)
Chain rule:Here we used the chain rule:
It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).
So,
\(a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}\)
Learn more about time here: https://brainly.com/question/11325462
QUICK ANSWER WILL GIVE BRAINLIEST AND 100 POINTS:
Explain the following in complete sentences:
How is the base of a rectangular pyramid related to the lateral faces?
Answer:
the base of a lateral pyramid is related to lateral faces because though it is not a lateral face itself is connected to the sides of the pyramid and the side of the pyramid is connected to the vertex of the shape
Step-by-step explanation:
the base of a lateral pyramid is related to lateral faces because though it is not a lateral face itself is connected to the sides of the pyramid and the side of the pyramid is connected to the vertex of the shape
Answer:
The net of a triangular pyramid with an equilateral triangle for the base consists of four triangles, and at least three are congruent.
Step-by-step explanation:
I just got born again I'm a Christian
Deborah spent $70 on food and clothes she spent $26 more on clothes then on food Brighton solve a system of equations to find how much Debra spent on each
Answer:
Step-by-step explanation:
You know the total will be $70.
She bought food, let's call that "F"
She spent $26 more on clothes than food. So her clothes purchase is "F+26".
So let's set-up the equation this way:
food + clothing = Total Spent
F + F + 26 = 70
2F + 26 = 70 (subtract 26 from both sides of the = sign)
2F = 44 (Divide both sides so you find out how much was spent on "F" or food.)
F = 22 (But the question doesn't stop there.)
Deborah spent $22 on food. (Remember, she spent $26 more on clothes, so we have to use our "clothes" equation? ) Deborah spent $48 on clothes. She spent a total of $70 on her purchases.
Find the mistake: Explain what the person did incorrectly while solving the problem or how you would solve it.
5x + 8 = 2x + 20
5x + 8 = 2x + 20
-2x -2x
3x + 8 = 20
-8 -8
3x = 12
times each side by 3
x = 36
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
Learn more about probability at https://brainly.com/question/13604758
#SPJ1
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
m= 1
Step-by-step explanation:
find to ordered pair on the graph and \(y^{1} - y^{2} \\ x^{1} - x^{2}\)
an equation in one variable is shown below 6X + 10 equals - 8which number line represents the solution for this equation
Answer:
Option (c) is correct.
Step-by-step explanation:
The given equation is :
6x+10=-8
We need to solve the above equation.
Taking like terms together,
10+8 = -6x
18 = -6x
x = -3
So, the value of x is (-3).
The line that represents x = -3 is shown in option (3). Hence, the correct option is (c).
Assume a total current of 2 amperes flows in a circuit with three resistorsR1 has a value of 1400 ohms, R2 has a value of 200 ohms and R3 has a value of 100 ohms , producing a total resistance of 80 ohms for the circuit. What is the amount of the current flow through resistor R3?
Answers:
(A)0.114
(B)0.800
(C)1.600
(D)0.228
1.600 amps of current flow through resistor r3 are measured.
Describe the resistor.A resistor is a passive, two-terminal electrical component used in circuits to apply electrical resistance.
Resistors are employed in electronic circuits for a variety of purposes, including reducing current flow, adjusting signal levels, dividing voltages, biassing active devices, and terminating transmission lines.
The parameters are determined by the query:
total current = 2 amperes
Total resistance = 80 ohms
Total current = voltage * Resistance
Total current = 2* 80
= 160V.
Consequently, the current passing through resistor R3 will be
V= IR (Ohms law)
where I (current)= V/R
current = 160/ 100
Current flowing through R3 =1.600 amperes.
To know more about Resistors visit:-
https://brainly.com/question/29052966
#SPJ1
A group consists of men and women. people are selected to attend a conference.
a. In how many ways can people be selected from this group of ?
There are 715 ways to select four people from a group of six men and seven women to attend a conference.
What are combinations?Combinations in mathematics relate to the various ways that a group of things can be chosen, regardless of the order in which they are chosen. Combinations are a form of counting problem where a smaller subset of the objects in the bigger set are selected.
The combination is given by the formula:
C(n,r) = n!/(r!(n-r)!)
The total number of people = 13.
The number of ways we can choose 4 people from the given 13 people are:
C(13,4) = 13!/(4!9!) = (13x12x11x10)/(4x3x2x1) = 715
Hence, there are 715 ways to select four people from a group of six men and seven women.
Learn more about combinations here:
https://brainly.com/question/13387529
#SPJ1
The complete question is:
Mr. Reed has 114 students. He gives each student ¼ pound of candy in their Halloween bag. How many pounds of candy does he need to buy?
Answer:
hewo
Step-by-step explanation:
well you need to multiply 1/4*114 and that should give you your answer
which would be 28.5
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
For more questions on fraction
https://brainly.com/question/78672
#SPJ8
– 3(4^2) step by step pls
Answer:
The answer is -48
Step-by-step explanation:
First step is to follow PEMDAS
So we start solving whatever is in the ( )
4^2 is in the ( ) 4^2 = 16 then we multiply
-3 * 16 which is -48
-
NEED HELP ASAP ON A TIME LIMIT
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48
dollars each morning for the day's supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog
sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
Answer: y=2x - 48
Step-by-step explanation: y (total profit) = 2x (2 dollars times hotdogs sold) - 48 ( 48 dollars starting cost)
Answer:
Answer: y=2x - 48
Step-by-step explanation:
please help me on this im confused please ty
The domain of the graph of the exponential function is (d) all real numbers
Calculating the domain of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
Read more about domain at
brainly.com/question/27910766
#SPJ1
One number is 8 more than another. If the sum of the smaller number and twice the larger number is 46, find the two numbers.Let x = the first number
Answer:
x = 18 y = 10
Step-by-step explanation:
let the first number be x
let the second number be y
x = y + 8..... equation 1
2x + y = 46.... equation 2
x is the larger number
y is the smaller number.
Rearrange the equation and add equation 1 to equation 2.
x - y = 8
+ 2x + y = 46
-------------------
3x + 0 = 54
3x = 54
divide both sides by 3
x = 54/3
x = 18
Substitute x = 18 into equation 1
x = y + 8
18 = y + 8
collect like terms
y = 18-8
y = 10
The two numbers are 18 and 10
From the question, One number is 8 more than another
Let the first number be x and the second number be y
∴ x = y + 8 ------ (1)
From the second statement, the sum of the smaller number and twice the larger number is 46
That is,
y + 2x = 46 ----- (2)
Now, we will solve the two equations simultaneously
From equation (1)
We have x = y + 8
Substitute this into equation (2)
y + 2x = 46
y + 2(y+8) = 46
Then, clear the bracket
y + 2y + 16 = 46
3y + 16 = 46
Collect like terms
3y = 46 - 16
3y = 30
∴ y = 30 ÷ 3
y = 10
Substitute the value of y into equation (1)
x = y + 8
x = 10 + 8
x = 18
∴ x = 18 and y = 10
Hence, the two numbers are 18 and 10
Learn more here: https://brainly.com/question/13177243