Final answer:
The number of people who got the email after three weeks can be calculated using the formula: F = 10 * (1.4)^t, where F represents the number of people, 10 represents the initial number of friends, 1.4 represents the factor of increase, and t represents the number of weeks. After substituting t = 3, we find that approximately 27 people will have received the email after three weeks.
Explanation:
To represent the number of people who got the email after three weeks, we can use the formula:
F = 10 * (1.4)^t
Where:
F represents the number of people who got the email10 represents the initial number of friends Karim sent the email to1.4 represents the factor by which the number of people increases each weekt represents the number of weeksSubstituting t = 3 into the formula, we can calculate the number of people who got the email after three weeks.
F = 10 * (1.4)^3 = 10 * 2.744 = 27.44
Therefore, after three weeks, approximately 27 people will have received the email.
The correct expression is:
(B) [tex]\(10 \cdot 1.4^6\)[/tex]
Sure, let's break it down step by step:
1. Initial number of people who received the email: Karim sent the email to 10 friends, so initially, [tex]\(10\)[/tex] people received it.
2. Factor by which the number of recipients increases each week: The number of recipients increases by a factor of [tex]\(1.4\)[/tex] each week.
3. Number of people who received the email after 1 week: To find this, we multiply the initial number of recipients by the factor for 1 week, which is [tex]\(10 \times 1.4 = 14\).[/tex]
4. Number of people who received the email after 2 weeks: Now, we take the number of recipients after 1 week (14) and multiply it by the factor for another week, [tex]\(1.4\)[/tex], giving us [tex]\(14 \times 1.4 = 19.6\)[/tex]. Since we can't have a fraction of a person, we round this up to the nearest whole number, which is [tex]\(20\).[/tex]
5. Repeating this process for 6 weeks: We continue this process for each additional week until we reach the 6th week.
6. General formula for the number of recipients after [tex]\(n\)[/tex] weeks: After [tex]\(n\)[/tex] weeks, the number of recipients can be calculated using the formula:
[tex]\[10 \times 1.4^n\][/tex]
So after 6 weeks, the expression becomes:
[tex]\[10 \times 1.4^6\][/tex]
7. Final Answer: The correct choice is (B) [tex]\(10 \times 1.4^6\).[/tex]
The correct question is:
Karim sent a chain email to 10 of his friends. The number of people who got the on: il increases by a factor of 1.4 every week.
Which expression gives the number of people who got the email after 6 weeks?
Choose 1 Anwer:
(A) [tex]$(10 \cdot 1.4)^6$[/tex]
(5) [tex]$10 \cdot 1.4^6$[/tex]
(c) [tex]$10+1.4 \cdot 6$[/tex]
(D) [tex]$(10+1.4) \cdot 6$[/tex]
Kim paycheck was 257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills.How much money does she have remaining from her paycheck
What is the side length of a cube with a volume of 0.008 m3?
Answer:0.2
Step-by-step explanation:
Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power.
A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power
Answer:
g3h
Step-by-step explanation:
I got it right
This room has soda stains on the floor. Tyler needs a bigger rug than this to cover it. Perform a dilation on the blue rug to cover the stain. Be sure to specify the scale factor used.
What is the solution set?
3.3x−11.6>18.1
Enter your answer in the box.
Please answer fast thanks!
The solution set is (9, ∞).
To solve the inequality 3.3x-11.6>18.1, we need to isolate the variable x.
First, we can add 11.6 to both sides of the inequality to get 3.3x>29.7.
Then, we can divide both sides by 3.3 to solve for x: x>9.
We can express the solution set using interval notation as (9, ∞).
Therefore, The solution set is (9, ∞).
The solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9, meaning x is greater than 9.
To solve the inequality 3.3x - 11.6 > 18.1, you can follow these steps:
1. Add 11.6 to both sides to isolate the term with x:
3.3x - 11.6 + 11.6 > 18.1 + 11.6
3.3x > 29.7
2. Now, divide both sides by 3.3. Remember, when you divide by a positive number, the inequality sign remains the same:
[tex]\[ \frac{3.3x}{3.3} > \frac{29.7}{3.3} \][/tex]
[tex]\[ x > \frac{29.7}{3.3} \][/tex]
x > 9
So, the solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9.
What scale factor was applied to the first rectangle to get the result image?
Answer:
Step-by-step explanation: Add pic so ppl can help
sally purchased a rectangular table for her drawing room. The sides of the table are 24 inches and 18 inches. What is the diagonal length of the table?
HELP FOR BRAINLIEST
help me please which one is the answer
The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?
27/40 miles long was the bus ride.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
The store is 7⁄8 of a mile away from your house.
Distance covered by Walking = 1/5
and, the rest is covered by Bus.
So, the distance covered by Bus
= 7/8- 1/5
= 35/ 40- 8/40
= 27/40
Hence, 27/40 miles covered by Bus.
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Use the elimination method to solve the system of equations. 5x + 2y = −45x + 2y = −4 −5x + 3y = 19−5x + 3y = 19 (−2, 3)(−2, 3) There is no solution. There are an infinite number of solutions. (−4, 6)
What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?
Answer:
27.1
Step-by-step explanation:
hope it helps!
Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she have?
She can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.
Deb possesses 3/4 of a brownie and intends to partition it into smaller portions, each equivalent to 1/8 of a brownie, allowing her to savor it throughout the day.
To determine the number of 1/8 portions she'll obtain, we can perform a simple division.
By dividing 3/4 by 1/8, we essentially multiply the numerator of 3/4 by the reciprocal of 1/8, which is 8/1.
This multiplication yields (3 * 8) / (4 * 1) = 24/4.
Simplifying further, we find that Deb will have 6 portions of 1/8 of a brownie.
Consequently, she can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.
for such more question on equivalent
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Question
Deb has 3/4 of a brownie. She wants to divide it up into 1/8 of a brownie so she can have it throughout the day. How many 1/8s will she have's will she have?
PLEASE HELP ME SOLVE WILL MARK AS BRAINLIEST IF ANSWERED CORRECTLY AMND SERIOUSLY
k/2+1-1k=-2k
simplify the radical expression square root of 64y^10h^5/16y^12h^5
After the simplification of the given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].
What is radical expression?
A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.
The term underneath the radical symbol is called the radicand.
How to solve radical expression?To solve a radical expression, simply take the the square root of the radicand.
According to the given question, we have a radical expression
[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]
=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])
= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]
= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]
= [tex]\frac{2}{y}[/tex]
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ratios equivalent to 2:6.
The ratios equivalent to 2:6 are: 9:3 and 7:21
The given ratio is [tex]\(2:6\)[/tex]. To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Let's analyze the options:
1. 10:7
To check if this is equivalent to 2:6, divide both parts by 2:
[tex]\[\frac{10}{2} : \frac{7}{2} = 5: \frac{7}{2}\][/tex]
This is not equivalent.
2. 9:3
To check if this is equivalent to 2:6, divide both parts by 3:
[tex]\[\frac{9}{3} : \frac{3}{3} = 3: 1\][/tex]
This is equivalent.
3. 7:21
To check if this is equivalent to 2:6, divide both parts by 7:
[tex]\[\frac{7}{7} : \frac{21}{7} = 1: 3\][/tex]
This is equivalent.
Therefore, the ratios equivalent to 2:6 are:
2:6
9:3
7:21
Simplify the expression. 5x + 1 - 18
If the area of a circle is 12.56 square centimeters,then what is the radius
help!!!!!!!! plz I need your help
I'm confused about this question, can someone help me
in a packet of skittles,27% are red and 14% are blue. What percentage are not red?
if the least value the variable k can be is 12,which of the following inequalities best shows all the possible values of k
Answer:
Its K ≥ 12
Step-by-step explanation:
Hope this helps! Have a good day!:) and happy St. Patrick's day lol
A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?
An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?
A. The two functions have no points in common.
B. The two functions have the same initial value.
C. The two function have opposite output values of each other for any given input value.
D. The graph of the two functions would look exactly the same.
A bird’s wing span is the distance from the tip of one wing to the tip of the other. A California condor can have a wingspan of 9 1/2 feet. A big hummingbird can have a wingspan of 2 1/2 inches. How much longer is the California condors wingspan then the
Bee hummingbirds?
What is the surface area of this rectangular prism? Rectangular prism with length labeled 12 meters, height labeled 3 meters, and width labeled 4 meters. m²
Which number is written in scientific notation?
6x10^11
12x10^-8
0.2x10^5
8x7^2
Answer: [tex]6\times10^{11}[/tex]
Step-by-step explanation:
We know that the scientific notation is a technique to write a very large or a very small number in the product of a decimal form of number [generally between 1 and 10]and powers of ten.
[tex]6\times10^{11}\\\text{ It is in scientific form}\\\\12\times10^{-8}\\\text{It is not in scientific form, since} 12 >9\\\\0.2\times10^5\\\text{It is not in scientific form, since }0.2<1\\\\8\times7^2\\\text{ It is not in scientific form, since power of 10 is not there}[/tex]
Hence, the number written in scientific notation is [tex]6\times10^{11}[/tex]
The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
Answer:
$28.
Step-by-step explanation:
Let y represent of saved money and x represent amount of earned money.
We have been given that the amount of money that Charlie saves each week is directly proportional to the amount he earns.
We know that two proportional quantities are in form [tex]y=kx[/tex], where, k is constant of proportionality.
Substitute given values and solve for k:
[tex]32=k*512[/tex]
[tex]\frac{32}{512}=\frac{k*512}{512}[/tex]
[tex]\frac{1}{16}=k[/tex]
To find amount of saved money, we will substitute [tex]k=\frac{1}{16}[/tex] and [tex]x=448[/tex] in our equation.
[tex]y=\frac{1}{16}\cdot 448[/tex]
[tex]y=28[/tex]
Therefore, Charlie saved $28 in the given week.
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?
You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?
Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is s4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?
General Idea:
When we are working with word problems, we need to follow the below steps:
Step 1: Assign variable for the unknown that we need to find.
Step 2: Write a meaningful mathematical equation using the sentence given
Step 3: Solve the equation by Performing reverse operation by Undoing whatever is done to the variable. Solving means find the value of the variable which will make the equation TRUE.
Applying the concept:
Step 1: Let x be the number of books that Brett can afford without spending more than his gift voucher amount.
Step 2: Writing mathematical equation based on the given sentence "Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2"
[tex] Online \; Gift \; Voucher=Number \; of \; books \; \times \; Cost\;per \; Book \; + \; Single \; shipping \; charge [/tex]
[tex] 30=4x+2 [/tex]
Step 3: Solving equation
[tex] 4x+2=30\\ Subtract \; 2 \; on \; both \; sides\\ \\ 4x+2-2=30-2\\ Combine \; like \; terms\\ \\ 4x=28\\ Divide \; 4 \; on \; both \; sides\\ \\ \frac{4x}{4}= \frac{28}{4} \\ Simplifying \; fraction \; on \; both \; sides\\ \\ x=7 [/tex]
Conclusion:
The number of books that Brett can afford without spending more than his gift voucher amount is 7 !!