The investment consists of 50 shares for $50 each, thus the amount invested was 50 x $50 = $2,500.
After 4 years, the stock is sold for $3,500. This gives a total return of:
\(\frac{3,500-2,500}{2,500}=\frac{1,000}{2,500}=0.4\)The total return is 0.4 x 100 = 40%
An annualized total return is the geometric average amount of money earned by an investment each year over a given time period.
Suppose the annual rate is r and it's compounded yearly for 4 years. Since the total return is 40%, the percentage, including the initial investment is 140% = 1.4, thus:
\((1+r)^4=1.4\)Applying 4th root:
\(1+r=\sqrt[4]{1.4}=1.0877\)Solving for r:
r = 0.0877 = 8.77%
Rounding to one decimal: r = 8.8%
Which equation represents the total number of black and white squares on the chess board?
The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32
How to determine the equation of the black and white squaresFrom the question, we have the following parameters that can be used in our computation:
The chess board
From the chess board, we have
Black squares = 32
White squares = 32
When factorized, we have
Black squares = 32 = 8 * 2²
White squared = 32 = 8 * 2²
Hence, the equation that represents the squares on the chess board is 8 * 2² = 32
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Liyana found the total number of large shirts for her company using the strategy
below. Is she correct? Check her work using a strategy of your own
189 shirts +51 shirts + 208 shirts =
100+ 0 + 200 = 300
80 +50 + 10 = 140
9+1 + 8 = 18
300 + 140 + 18 = 458 total shirts
Is Liyana correct? Explain your answer below.
Step-by-step explanation:
no she exceeded number of shirts with 40
Write the equation of the line that models this pattern.
let x= figure number let y= number of tiles in that figure Please do not include any spaces in your equation.
Answer:
y = 4x +1
Step-by-step explanation:
You observe that each of the four arms of the figure has a number of tiles equal to the figure number. There is one more tile in the center.
This tells you that the equation could be ...
y = 4x +1
Put these numbers in order from greatest to least. 27/30, -7, 15/25
Answer:
27/30, 15/25, -7
Step-by-step explanation:
id k common sense
Question 8 of 10
Which of the following rational functions is graphed below?
A. F(x) = 1/4x
B. F(x) = 4/x
C. F(x) = 1/x+4
D. F(x) = 1/x-4
Option D, F(x) = 1/x-4, is the rational function that best fits the graph.
What are some examples and functions of reason?Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator.
The graph features a vertical asymptote at x = 4 and a horizontal asymptote at y = 0, as can be seen by looking at it.
Option A, F(x) = 1/4x, has a horizontal asymptote at y = 0, but does not have a vertical asymptote at x = 4.
Option B, F(x) = 4/x, has a vertical asymptote at x = 0, but not at x = 4.
Option C, F(x) = 1/x+4, has a vertical asymptote at x = -4, but not at x = 4.
Option D, F(x) = 1/x-4, has a vertical asymptote at x = 4, and does not have any other vertical asymptotes.
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6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
Add. Write the answer in simplest forma
Answer:
33/24 or 11/8, or 1 9/24 or 1 3/8
Step-by-step explanation:
you have to find a common denominator between the two fractions. The least common denominator for 9 and 8 is 24. Since you multiply 9 by 3 to get 24, you multiply 5 by 3 and get 15. You now have the fraction 15/24. Since you multiply 8 by 3 to get 24, you also multiply 6 by 3, which is 18. You now have the fraction 18/24. You add 15/24 and 18/24, and you get 33/24, which can be simplified to 11/8. It can be shown as 1 9/24 as a mixed number, and simplified to 1 3/8.
Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?
It would take 370 days to build the wall with the given conditions.
If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:
60 men x 40 days = 2400 man-days
However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.
The number of man-days required for the first 10 days is:
60 men x 10 days = 600 man-days
The number of man-days required for the second 10 days is:
5 men x 10 days = 50 man-days
The total number of man-days required for the first 20 days is:
600 man-days + 50 man-days = 650 man-days
The remaining work can be completed by the 5 men in:
2400 man-days - 650 man-days = 1750 man-days
Therefore, the total time needed to build the wall is:
20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days
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What is the name of this type of question i want to look up some practice questions but I dont know what to search
These types of questions are categorized under exponential equations which involve addition, subtraction, multiplication, and division of exponents.
What are exponents?Exponents is the term used to describe a way to represent huge numbers using powers. In other words, the exponential describes how many times a number has been multiplied by itself. Various rules of exponents are presented according to the capacities they possess.
The following rule governs multiplication: Add the exponents while maintaining the base's consistency.
When bases are raised by a power of two or more, multiply the exponents while maintaining the original base.
Division Rule: When dividing like bases, take the exponent of the denominator and divide it by the exponent of the numerator, keeping the exponential base constant.
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can i have help with this pls, no one will teach me it
Answer:
x = 21
Step-by-step explanation:
As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:
3x + 18 + 4x + 15 = 180 add like terms
7x + 33 = 180 subtract 33 from both sides
7x = 147 divide both sides by 7
x = 21
use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
Please help I have to do this in class!!!!
find the equation of ciecle passing through origin radius 17 and ordinate of the center is 15
Answer:
Step-by-step explain
refer to the figure attached
Will mark brainliest
Answer:
C : 0.167
Step-by-step explanation:
Have a nice day
Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour. Tori wrote this expression to determine the distance she would travel into outer space. (3.21 × 103)(1.13 × 105) Estimate the distance travelled. Almost-equals30 × 1015 meters Almost-equals3 × 108 meters Almost-equals30 × 108 meters Almost-equals3 × 1015 meters
Answer:
B. Almost-equals3 × 108 meters
Step-by-step explanation:
I just did the assignment:)
Answer:
B
Step-by-step explanation:
Just took the asignment.
Help me asap and need the answer quick
Answer:20 m/s
Step-by-step explanation:
Answer:
20 m/s
Step-by-step explanation:
700 ÷ 35 = 20 m/s
isabella bought tickets for 84 people. each ticket cost $16.22. how much did isabella spend on tickets
The total money Isabella spent on tickets will be $1362.48
In the given question, it is stated that Isabella bought a total of 84 Tickets. Each of the tickets she bought cost $16.22. We have to find out the total amount that she spent on buying tickets for everyone. From this given situation we know:
The cost of one ticket: $16.22
Total number of tickets: 84
From this formula, we can calculate the total amount spent
Total Amount = Total ticket * cost of one ticket
Putting values in this formula, we get:
=> Amount = cost*number
=> Amount = 16.22*84
=> Amount = 1362.48
Hence, the Total amount that she spent on Tickets will be $1362.48
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In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent
Answer:
The cost of that car in 2012 dollars is $20,755
Step-by-step explanation:
We take a look at inflation values of the dollar to solve this question.
100 dollars in 1976 are equivalent to 469.48 dollars in 2021.
100 dollars in 2012 are worth 113 dollars today.
So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So
469.48/1.13 = 415.5.
That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?
Multiplying by 4.155
5000*4.155 = 20,755
The cost of that car in 2012 dollars is $20,755
\(\int\limits^{i/2}_i {e^{z/2}} \, dx\)
Find surface area of this rectangle prism
Answer:
Heres this!!
Step-by-step explanation:
The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
For surfboard repairs, Luke charges a flat fee of $31.29 plus $16.80 per hour. How much would Luke charge for a job that took 8.5 hours to complete? Enter your answer in the box.
I WILL GIVE BRAINLY PLS HELP
Answer: $174.09
Step-by-step explanation:
$16.80 times 8.5 hours equals 142.8 plus $31.29 equals $174.09
Luke charged 174.09 dollars for a job that took 8.5 hours to complete.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Multiplication is the operation that is used to determine the product of two or more numbers.
Given that Luke charges a flat fee of $31.29 additional $16.80 per hour.
Therefore, we will multiply the charge by 8.5 hours to complete,
$16.80 x 8.5 hours = 142.8
In addition of charge $16.80 per hour;
$16.80 + $31.29 = $174.09
Hence, Luke charged 174.09 dollars for a job that took 8.5 hours to complete.
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Find the 11th term of the geometric sequence 1,4,16
The 11th term of the geometric sequence 1, 4, 16,... is 4¹⁰.
A sequence is a grouping of objects in a particular order that permits repetitions. It has members, just like a set does. The length of the sequence is determined by the number of items.
Consider the geometric sequences 1, 4, 16......
For a geometric sequence a, ar, ar²,.....
Where a is the first term, and r is the common ratio of the sequence.
Then for the sequence 1, 4, 16,...
a = 1 and r = 4
The nth term of a geometric sequence is given as:
aₙ = ar⁽ ⁿ ⁻ ¹⁾
Therefore, the 11th term of the sequence will be:
a₁₁ = 1 × r¹¹ ⁻ ¹
a₁₁ = (4)¹⁰
a₁₁ = 4¹⁰
Hence, the 11th term of the sequence is 4¹⁰.
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£2,300 is invested for 4 years at 5% per year simple interest work out the total interest
Answer:
£460
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2300 × 0.05 × 4 = 460
I = £ 460.00
The simple interest accumulated
on a principal of £ 2,300.00
at a rate of 5% per year
for 4 years is £ 460.00.
ANSWER ONLY A-Ca. what is the students speed from the 3rd to 5th minute?b. at what times during the bike ride did the student come to a stop?c. During what time intervals did the students speed increase?
SOLUTION:
Case: Distance time graph
Method:
a) the students speed from the 3rd to 5th minute
\(\begin{gathered} Speed,s \\ s=\frac{4-2.25}{5-3} \\ s=\frac{1.75}{2} \\ s=0.875miles\text{ }per\text{ }minute \end{gathered}\)b) the times during the bike ride did the student come to a stop
d and h
8 minutes and 23 minutes
c) the students speed increase during.
b to c. 1 and 3 minutes
e to f. 11 and 15 minutes
f to g. 15 and 17 minutes
Divide: 7 5/6 ÷ 2/3 need help
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
2Drag each set of coordinates to the correct location on the table.Calculate the distance between the pairs of coordinates, and classify them according to the distance between them.(3, 4) and (2, 1)(3, 7) and (5,2)(5,-2) and (3, 3)(-2, 3) and (1, 2)(-4,-2) and (-3, 1)(4, -1) and (-1,1)TO units29 unitsResetNext
Step 1
State the distance between points formula
\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step 2
Find the distance between the points
\(\begin{gathered} D=\sqrt{(2-3)^2+(1-4)^2}=\sqrt{10}\text{ units} \\ (3.4)\text{ and \lparen2,1\rparen =}\sqrt{10}\text{ units} \end{gathered}\)\(\begin{gathered} D=\sqrt{(5-3)^2+(2-7)^2}=\sqrt{29\text{ }}units \\ (3,7)\text{ and \lparen5,2\rparen = }\sqrt{29\text{ }}\text{ units} \end{gathered}\)\(\begin{gathered} D=\sqrt{(3-5)^2+(3+2)^2}=\sqrt{29}\text{ units} \\ (5,-2)\text{ and \lparen3,3\rparen =}\sqrt{29}\text{ units} \end{gathered}\)\(\begin{gathered} D=\sqrt{(1-(-2))^2+(2-3)^2}=\sqrt{10\text{ }}units \\ (-2,3)\text{ and \lparen1,2\rparen=}\sqrt{10}\text{ units} \end{gathered}\)\(\begin{gathered} D=\sqrt{(-3-(-4))^2+(1-(-2))^2}=\sqrt{10}units \\ (-4,-2)\text{ and \lparen-3,-1\rparen=}\sqrt{10}units \\ \end{gathered}\)\(\begin{gathered} D=\sqrt{(-1-4)^2+(1-(-1)^2}=\sqrt{29}\text{ units} \\ (4,-1)\text{ and \lparen-1,1\rparen=}\sqrt{29}\text{ units} \end{gathered}\)Jack runs 3 miles 4 times a week. How many miles does Jack run in 6 weeks
What is the square root of 598?
the square root of 598 is 24.4540385
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 54
Step-by-step explanation:
Vertically opposite angles are equal
Therefore, 2x + 2 = 3x - 52
Subtract 2x from both sides: 2 = x - 52
Add 52 to both sides: 54 = x
Therefore, x = 54