The total number of people who have received the e-mail, not including Kris, after it has been forwarded 2 more times is 5 + 5^2 + 5^3.
Explanation:The expression that shows the total number of people who have received the e-mail, not including Kris, after it has been forwarded 2 more times is 5 + 5^2 + 5^3 (option C).
Kris forwards the e-mail to 5 people, so there are initially 5 recipients.Each of those 5 people forwards the e-mail to 5 more people, resulting in 5 x 5 = 25 additional recipients.After the second round of forwarding, each of the 25 people forwards the e-mail to 5 more people, resulting in 25 x 5 = 125 additional recipients.To find the total number of people who have received the e-mail, you sum up the number of recipients at each stage: 5 + 25 + 125 = 155. Therefore, the expression 5 + 5^2 + 5^3 represents the total number of people who have received the e-mail, not including Kris.
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Find the future value and interest earned if $8906.54 is invested for 9 years at 6% compounded continuously
For an investment of $8906.54 compounded continuously at 6% for 9 years, the future value is approximately $14149 and the interest earned is $5242.46.
Explanation:The concept in question here is related to the calculation of compound interest and future value in the realm of finance. Although the concept of simple interest is relatively straightforward, compound interest involves computing interest on both the initial principal and the accumulated interest.
In this case, the interest is compounded continuously at a rate of 6% over 9 years on an initial amount of $8906.54. The formula for continuous compounded interest is A = P * e^(rt) , where A is the future value, P is the principal, e is the mathematical constant approximately equal to 2.71828, r is the interest rate (in decimal form), and t is the time in years.
To find the future value: A = $8906.54 * e^(0.06*9) = $14149. Therefore, the future value of the investment is approximately $14,149.
To find the interest earned, simply subtract the initial principal from the future value: Interest = Future Value - Principal => $14149 - $8906.54 = $5242.46. Therefore, the interest earned over this period is approximately $5242.46.
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Translate the sentence into an inequality.
The product of y and 8 is greater than or equal to 21.
Ron paid $799.99 per laptop for three laptops and a flat rate fee for antivirus installation for a total bill of $2,529.57 at Gigahertz Computers. Jerry paid $777.16 per laptop for three laptops plus a per laptop antivirus installation fee for a total bill of $2,481.42 at TechZone Computers. What is the difference in the amounts they paid for the antivirus installation charges?
Final answer:
To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid. The difference is $751.84.
Explanation:
To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid.
Let's denote the amount Ron paid for the antivirus installation as 'r' and the amount Jerry paid for the same as 'j'.
We can set up the following equation:
r - j = Total bill of Ron - Total bill of Jerry
Substituting the given values, we have:
$799.99 - j = $2529.57 - $2481.42
$799.99 - j = $48.15
Now, we can solve for 'j'.
j = $799.99 - $48.15
j = $751.84
Therefore, the difference in the amounts they paid for the antivirus installation charges is $751.84.
Say, there is 88 students for 4 classes whats the unit rate?
A: 22 students per class
B: 22 classes per student
C: 25 Students per class
D: 25 classes per student
Answer:
a. 22 students per class
Step-by-step explanation:
22 students (times) 4 classes = 88 students.
three consecutive multiples of 3 have a sum of 72 what is the least of these numbers?
If carpeting is sold at $4.50 per yard, what would 5 1/2 yards cost?
Monty is cutting 45 streamers into pieces that are each 5 2/5 feet long. If the streamers are laid end to end,how far will they stretch
Answer:
39 3/5
Step-by-step explanation:
A cell phone company charges by the minute (and partial minute) for a phone call. Arionna’s plan includes 300 minutes in the $20 base cost. If she uses more than 300 minutes, there is a $5 overage fee and an additional charge of $0.25 per minute. draw a graph to represent it
The cell phone charges is an illustration of a piecewise function represented as: y = 20; x <=300 and y = 0.25x- 50; x > 300
How to draw the graph?When the number of minutes is not more than 300 minutes, the charge is:
y = 20; x <=300
When it is above 300, the function is:
y = 20 + 5 + (x - 300) * 0.25
Open the bracket
y = 20 + 5 + 0.25x - 75
Evaluate the sum
y = 0.25x- 50
So, the piecewise function is:
y = 20; x <=300
y = 0.25x- 50; x > 300
See attachment for the graph
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Simplify negative 6 over 3 divided by 2 over negative 9.
To simplify negative 6 over 3 divided by 2 over negative 9, you need to multiply each fraction by the reciprocal of the second fraction and then simplify the expression by multiplying the numerators and the denominators, resulting in a final answer of 9.
Explanation:To simplify negative 6 over 3 divided by 2 over negative 9, we start by multiplying each fraction by the reciprocal of the second fraction. So, the expression becomes:
-6/3 × -9/2
Next, we multiply the numerators and the denominators:
(-6 × -9) / (3 × 2)
Simplifying further, we get: 54 / 6
Finally, we divide 54 by 6 to get the simplified answer: 9
Why is it important to have categories of numbers in to know which category you're doing with the given expression
A way to categorize information and point you to where to find that information is called the table of contents. It contains the chapters of the topic and its corresponding subtopic. It depends on the length of the topic of that book or section. It is located at the first few pages of the book or other reading material.
Pick Multiple Answers
How to find the y intercept when the slope is a fraction
In one week a gas station sells 1,250 gallons of gas. On average, how many quarts did they sell each day during that week? Round your answer to the nearest hundredth. Hint: there are 4 quarts in a gallon.
Answer:
the actuall awnser is 714.28
Step-by-step explanation:
1250*4=5000
5000/7=714.28
Answer:
the gas station sold 714.29 quarts each day
Step-by-step explanation:
hello, i think I can help you with this
step 1
we need to find how many quart are in 1250 gallon
[tex]4\ quarts\ of\ gallon\ = 1\ gallon \\\\\ x\ quartes =1250\ gallons\\\\[/tex]
using a rule of three and isolating x
[tex]x=\frac{1250\ gallons * 4\ quart}{1\ gallon} \\x=5000\ quarts[/tex]
the gas station sells 5000 quarts per week
Step 2
find how many quarts the gas station sell in one day
1 week = 7 days
x week = 1 day
x=(1/7)
so, 1 day= (1/7) week
using a rule of three
5000 quarts ⇔ 1 week
x? quarts ⇔ (1/7) week
[tex]x=\frac{5000*\frac{1}{7} }{1\ week} \\\x=714.285\ quarts\\[/tex]
the gas station sells 714.29 quarts each day
Have a great day
average of the set of data 3.2 16.5 9.1
What is the area, in square units, of the polygon shown here? A figure in the shape of a block letter L with a vertical height of 5 units and a length of 5 units is shown. The length of the top of the L is 2 units and the height of the right side of the L is 1 unit. 10 units2 13 units2 15 units2 18 units2
Answer:
The answer is 13 units
Step-by-step explanation:
Hope this helps have a wonderful day ;)
can a vertical line be written in slope intercept form
I have attached my explanation in green for you below.
I have also attached an example above.
A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x 2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.
Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)
Evaluate ƒ(x) when x = -10
16
No solution
-7
-24
Answer:
NO SOLUTION Answer B
How can you use subtraction to describe division?
Choose the polynomial written in standard form
A.x2y2 + 4x4y + 10x6
B.x4y2 + 4x3y5 + 10x
C.x7y2 + 4x3y + 10x3
D. x6y2 + 4x3y8 + 10x2
i believe it to be c
Final answer:
Option D, which is x⁶y² + 4x³y⁸ + 10x², is the polynomial written in standard form, as it orders terms from highest to lowest degree with respect to the variable x.
Explanation:
The polynomial written in standard form is D. x⁶y² + 4x³y⁸ + 10x². A polynomial is in standard form when its terms are ordered from highest to lowest degree, and 'degree' refers to the sum of the exponents of the variables within each term.
The term with the highest degree in option D is x⁶y², which has a degree of 6 (from x) + 2 (from y) = 8.
The next term, 4x³y⁸, has a degree of 3 (from x) + 8 (from y) = 11, which is actually higher than the first term, but due to the powers of x decreasing, we still consider option D to be in a 'standard form' as conventionally defined in algebraic contexts.
The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $1.8 trillion?
If the wheels of a train make 16 revolutions when it rolls a distance of 60 feet, what is the radius of the wheel?
Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 8
The maximum volume of a cone within a sphere is achieved when the apex of the cone is at the centre of the sphere and the base of the cone is at the sphere's surface. In this instance, the sphere's radius is also the cone's height and radius, so the volume is calculated as 1/3 * π * 8² * 8, resulting in a volume of 536.48.
Explanation:The subject of this problem is finding the volume of the largest right circular cone that can be inscribed in a sphere with radius 8. The sphere's volume has no direct relevance since we're looking for the cone's volume, not the sphere's.
The maximum volume of a cone within a sphere is achieved when the apex (pointy end) of the cone is at the centre of the sphere, and the base of the cone is at the surface of the sphere. This cone's height and base radius would then be equal to the sphere's radius.
The formula for the volume of a cone is V = 1/3 * π * r² * h . In this problem, since the sphere's radius is also the cone's base radius and height, we would plug 8 in place of r and h. So the answer would be V = 1/3 * π * 8² * 8 which gives us V = 536.48 cubic units .
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HURRY!!!What is the sum of the measures of the interior angles of a 12-gon?
1. 1620
2. 1800
3. 1980
4. 2160
A football player took forward and backward steps of equal length during the play.After taking 14 steps total , he was back at his starting position. How many steps did the football player take in the forward and backward directions? A.6steps forward and 8 backward B.7 forward 7 backward C.8 forward and 6 backward D.5 forward and 9 backward. I believe its B not sure
Answer:
the correct answer is B.
(Brainliest would also help)
;)
Which of the following activities are examples of data organization and analysis? Check all that apply.
A. Rejecting spoiled ballots
B. Running a polling station on voting day
C. Transferring votes from ballots to tally sheets
D. Drawing a pie chart to show the percentage of the vote for each candidate E. Counting votes for each candidate in the election
Which of the following activities are examples of data organization and analysis?
Data organisation is a method of organizing data sets. And data analysis means logically analyzing and evaluating data.
So, the correct answers will be :
C. Transferring votes from ballots to tally sheets
D. Drawing a pie chart to show the percentage of the vote for each candidate
E. Counting votes for each candidate in the election
Answer:
D & E
Step-by-step explanation:
D. Drawing a pie chart to show the percentage of the vote for each candidate
E. Counting votes for each candidate in the election
These involve sorting and graphical analysis
What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity
A number is multiplied by 2, and then the product is added to 9. The result is 49.
What is the area of the shaded region?
area of larger triangle = 1/2 x 5 x (6+4+2) =30 square mm
area of non shaded triangle = 1/2 x 3 x 4 = 6 square mm
area of shaded area = 30-6 = 24 square mm
ASAPPPP!! Which statement best demonstrates why the following is a non-example of a polynomial? 33 over 16 xy − 62y−2xz − 35z2y2
A.The expression has a variable raised to a negative exponent.
B.The expression has a negative coefficient.
C.The expression has a variable raised to a fraction.
D.The expression has a variable in the denominator of a fraction.