The price of a gallon of milk at a particular convenience store has been recorded over the course of 10 weeks. At the end of the third week, the price $3.38 and at the end of the eighth week the price is $3.55. The price has been observed to increase exponentially.
Answers
Given:
The price of milk at the end of the third week = $3.38.
The price of milk at the end of the eighth week = $3.55.
To find:
The approximate increase in price of milk per week and the cost of milk at the end of the tenth week.
Solution:
To determine the increase in the price per week, we divide the difference in price over n number of weeks by n.
Here we know the prices of milk at the end of the third and the eighth week. There are 5 weeks between these two.
The approximate increase in the price of milk [tex]= \frac{3.55-3.38}{5} = \frac{0.17}{5} = 0.034.[/tex]
So there is an increase of $0.034 per week.
To determine the price at the end of the tenth week, we add the increase in price over two weeks to the price at the end of the eighth week.
The price of milk at the end of the eighth week = $3.55.
The increase in price over two weeks [tex]=2(0.034) = 0.068.[/tex]
The price of the milk at the end of the tenth week [tex]= 3.55+0.068=3.618.[/tex]
Rounding this off to the nearest cent, we get the price of milk at the end of the tenth week is $3.62.
Related Questions
What is 2(log38+logzz)-log3(34 – 72) written as a single logarithm?
Answers
To simplify the given expression, we can use the properties of logarithms. By using the product, power, and quotient rules of logarithms, we can combine the terms and simplify the expression into a single logarithm.
Explanation:To simplify the given expression 2(log(38) + log(zz)) - log3(34 - 72), we can use the properties of logarithms.
Start by using the product rule of logarithms to combine the terms inside the parentheses: log(38zz).Now, use the power rule of logarithms to bring the exponent out as a coefficient: log(38) + log(zz).Next, apply the quotient rule of logarithms to subtract the logarithm of the denominator: log(38) + log(zz) - log3(-38).Finally, simplify the expression: log(38zz/(-38)).This is the single logarithm form of the given expression.
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(08.05)Some students reported how many textbooks they have. The dot plot shows the data collected:
Students' Textbooks
2 3 4 5 6
Number of Textbooks
What do the dots above the number 6 indicate?
A•There are exactly 6 students with 4 textbooks
B•There are exactly 4 students with 6 textbooks
C•There are exactly 6 students with less than 4 textbooks
D•There are exactly 4 students with less than 6 textbooks
(PLEASE NO GUESSING)
:)
Answers
Answer:
There are exactly 4 students with 6 textbooks.
Hope this helps! :)
Answer:
B
Step-by-step explanation:
The dots on the lines indicate how many students have that specific number of textbooks.
The mark at 6 on the number line indicates 6 textbooks. The dots above it indicate how many students have 6 textbooks. Since there are 4 dots, we know that 4 students have 6 textbooks.
Thus, the answer is B.
Hope this helps!
Write a number in the blank space so that the equation will have an infinite number of solutions
The answer is 3x + 5 = 3x - ______ has infinitely many solutions- type a number only
Answers
Answer: 5
Step-by-step explanation:
3x + 5=3x - 5
Final answer:
To achieve an infinite number of solutions in the equation '3x + 5 = 3x - ______', the blank should be filled with the number 5, making both sides of the equation identical and true for all values of x.
Explanation:
To make an equation have an infinite number of solutions, both sides of the equation must be identical. Looking at the equation 3x + 5 = 3x - ______, we want to find the number that would make the statement an identity.
The only way for this equation to have infinite solutions is if the variable terms (3x) are equal and the constant terms are also equal. Hence, the blank must be filled with the number 5, making the equation 3x + 5 = 3x + 5, which is true for all values of x.
Nam has a bag of 8 chips numbered 1 to 8. He will perform an experiment to model the theoretical probability of pulling a chip with the number 6.
Select from the drop-down menus to correctly complete the sentences.
Nam should pull a chip and replace it after each turn
A. as many times as possible
B. 8 times
, and then divide the number of times 6 occurs by
A. 8
B. the number of trials
. After many trials, the experimental probability will be close to the theoretical probability of
A. 1/8
B. 2/3
C. 1/6
.
Answers
Answer:
1. A
2. B
3. A
Step-by-step explanation:
He should conduct the experiment as many times as possible, more the better estimate can be obtained.
Record the no. of 6's and divide the no. of trials to get an estimate of the probability of 6
After many trials, the experimental probability would get closer and closer to the theoretical probability which is 1/8
1 point
1.
The slide at the playground has a height of 6 feet. The base
of the slide measured on the ground is 8 feet. What is the
length of the slide?
Answers
Answer:
The length of the slide is 10 feet.
Step-by-step explanation:
To find the length of the slide you have to use the formula:
a^2 + b^2 = c^2 (^2 means squared)
In this case:
a= 6 and b=8 c= unknown
6 squared (6 times 6) is 36
8 squared (8 times 8) is 64
Add these two numbers to get:
36+64=100
6^2+8^2=100
However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.
What number times itself equals 100? 10.
The length of the slide in 10 feet.
Find the sum -6/13 - (-7/15)
Answers
So the answer is 1/195.
Look at the attached picture⤴
Look at the attached picture⤴Hope it will help u....:)
Answer:
1/195
Step-by-step explanation:
estimate 54.57 + 47.870 by first rounding each number to the nearest whole number
Answers
Step-by-step explanation:
Rounding to the nearest whole so 54. 57 will be 55 and 47.870 will be 48 so
55 + 48 = 103
Can you guys help please I’ll give brainliest
Answers
Answer:
The admission fee for the movies is 1.7$ per group.K amount of people buy popcorn,which is 3 dollars each.You end up spending 18.2$.How much people did you bring in your group?
Step-by-step explanation:
The expression equivalent to sin 3x+ sin xis
The expression equivalent to sin 3x sin xis
Answers
Answer:
jvjfufjgjgkggjchvkvkf
Solve these equations
|x+8|=−2
Answers
Answer:
no solution
Step-by-step explanation:
lets isolate the absolute value first:
so
|x|-8+8=-2-8
|x|=-10
since absolute value cannot be less than -10, there is no solution.
Hope this helps!
The equation |x+8|=−2 has no solution because the absolute value of a number cannot be negative.
The equation |x+8|=−2 does not have a solution because the absolute value of a number is always non-negative, and it cannot equal a negative number. The absolute value represents the distance from zero on the number line, and distance cannot be negative. Thus, the equation |x+8|=−2 is inconsistent because it implies that a non-negative quantity (the absolute value) is equal to a negative number (−2), which is not possible.
When solving equations involving absolute values such as |x| = a, if 'a' is positive, then the solutions are x = a or x = -a, because both distances a and -a from zero have the same absolute value. However, if 'a' is negative, the equation has no solution, as the absolute value cannot take on negative values. If you encounter an absolute value equation set to a negative number, you can immediately conclude that there are no solutions.
on the first day of every month Katie gets 450 phones she repairs 10 phones every day how many phones does she have left to repair at the end of the 11 day of the month
Answers
Answer:
340 phones
Step-by-step explanation:
Make an expression
She repairs 10 phones each day, d.
Each day she repairs 10 phones, it is 10 phones off the total number (450) she has to repair, so we can subtract 10d from 450.
450-10d
We want to find how many she has left after 11 days, so we can substitute 11 in for d
450-10(11)
Multiply
450-110
340
She will still have 340 phones left to repair
Katie would have repaired 110 phones by the end of the 11th day. She started with 450 phones, so after subtracting the number of repaired phones, she has 340 phones left to repair.
Explanation:To determine the number of phones Katie has left to repair at the end of the 11th day, we need to calculate how many phones she has repaired so far. Since Katie repairs 10 phones every day, after 11 days, she will have repaired 10 phones/day * 11 days = 110 phones.
Katie starts with 450 phones at the beginning of the month. So, to find out how many are left un-repaired, you subtract the number of phones she has repaired from the starting amount.
Therefore, 450 phones - 110 phones = 340 phones are left to repair at the end of the 11th day.
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What is the recursive rule for the sequence:
11, 22, 44, 88...
Answers
Answer:
The recursive rule for the sequence is
[tex]a_n= 2a_{n-1}[/tex] ,
where n is positive integer.
Step-by-step explanation:
Given sequence is
11,22,44,88........
Here the first term of the sequence is = 11
Second term of the sequence is = 22
Third term of the sequence is = 44
Fourth term of the sequence is = 88.
............
Second term = 2×first term
Third term = 2 × Second term
Fourth term = 2 × Fourth term
The recursive rule for the sequence is
[tex]a_n= 2a_{n-1}[/tex] ,
where n is positive integer.
The advertised price of a cell phone was $99.99 after a $50 mail-in rebate. What is the price of the cell phone before the rebate is applied?
Answers
Answer:
149.99
Step-by-step explanation:add 50
Answer:
$149.99
Step-by-step explanation:
The price of the phone is $99.99 after the rebate, so we have to add the rebate back on to find the original price.
99.99+50
149.99
When Theresa walks at a pace of 88 steps per minute, it takes her 90 minutes to walk the trail. If she alters her pace to 33 steps per minute, how long will it take her to walk the trail?
Answers
Answer: 33 minutes
Step-by-step explanation:
Hi to answer this question we have to write a proportion
Speed rate = 88 step per minute
Time = 90 minutes
So, the proportion is 88 step/min / 90 minutes
For 33 steps per minutes = 33 / x minutes
88/90 = 33/x
solving for x:
x= 33/ (88/90)
x = 33.75 = 33 minutes.
Feel free to ask for more if needed or if you did not understand something.
THIRD TIME ASKING THIS) A multiple choice question has 6 options. What is the percentage of getting the answer correct ? Can you write the answer as a ratio too?
Answers
Answer:
1:6
Step-by-step explanation:
cause it is
If it were it be written ratio then only 1 answer is correct so it would be 1:6.
Evaluate the expression. 18 + 12 ÷ 6 • 2
Answers
Answer:
22
Step-by-step explanation:
PEMDAS
12/6 = 2
2 * 2 = 4
18 + 4 = 22
plz give brainliest
Answer:
I think the answer is 22
But I'm not 100% sure :( (:
I need help figuring which of the answers are it I need to pick 3 please help
Answers
lmk if i’m wrong tho
Based on what you have learned about Malala’s viewpoints and setting, why is a blog a good way for Malala to speak up? Write two to four sentences explaining your answer.
Answers
Sample Response: Malala lived in the Swat Valley, which was taken over by the Taliban. Using a blog was a good way for her to let people all over the world know that she disagreed with the Taliban's view of girls' education. Even though she lived in a small and faraway city, the blog gave her a huge audience that she could reach at the click of a button.
How many solutions does 5-2x=3+x-4-3x have?
Answers
Answer:
no solutions
Step-by-step explanation:
A linear equation having same variable term on both RHS and LHS is not defined. The number of solutions for the equation 5 - 2x = 3 + x - 4 - 3x is zero.
What is a Linear equation?A linear equation is can be defined as a equation that has its degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given equation is as below,
5 - 2x = 3 + x - 4 - 3x
It can be simplified as,
5 - 2x = 7 - 2x
Since both LHS and RHS contain the same variable term 2x which can be cancelled out so that there will be no variables.
Thus, the given equation has no solutions.
Hence, the number of solutions for the given equation is zero.
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You are designing a circular path surrounding a circular pond. The pond has a diameter of 90 feet. The path is 15 feet wide. (the outer edge of the path is 15 feet from the edge of the pond.) What is the area in square-feet of the path?
Answers
Answer:
The area of the path is 11,304 square feet.
Step-by-step explanation:
Please see the attached files for details
[x = -4y] [3x + 2y = 20] *
Answers
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------------
Answer to solving for y: y = -2.
Answer for simplifying the expression: -12y - 4.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We are given that x = -4y and that the equation is 3x + 2y = 20.
We need to evaluate.
3x + 2y = 20
||
\/
3(-4y) + 2y = 20.
To solve for y, y = -2.
||
\/
3(-4y) + 2(-2) = -12y - 4.
Answer:
y= -2 x=8
Step-by-step explanation:
3 (-4y)+2y=20
-12y+2y=20
-10y=20
y= -2
x= -4 (-2)
x=8
Find the percent of change between the two numbers 2 and 1.42.
Answers
Answer:
29%
Step-by-step explanation:
[tex] \frac{0.58}{2} \times 100 \\ [/tex]
29%
Percent decrease formula: new value - old value / old value
Solve with the given values.
2 - 1.42 / 2
0.58 / 2
0.29
Turn the decimal into a percentage.
0.29 * 100% = 29%
Therefore, there is a 29% decrease.
Best of Luck!
1. Liza and Marta mow lawns during the summer to earn money. Liza determined that she can earn between $6.00 and $6.25 per hour. Marta estimates that she earns between $7.50 and $8.00 per hour. About how much more money will Marta earn than Liza if they each work 22 hours?
A. $25.01 to $45.00
B. $65.01 to $85.00
C. $45.01 to $65.00
D. $5.00 to $25.00
2. Last month, Belinda worked 160 hours at a rate of $10.00 per hour. If her employer retains 9% of her gross salary, is $1,500 a reasonable estimate of her net salary?
A. Yes, because $1,500 is close to
B. No, because $1,300 is a better estimate.
C. No, because retaining 10% of her salary would leave her with about $1,350.
D. Yes, because her salary will be a bit more than 1600-160=1440
Answers
Answer:
$137.50 for Liza with cents and 132 without any cents. $154 for marta wihtout cents and 165 dollars with cents. First try subtracting 137.50 from 165 and then try 154 subtract 132.
step-by-step explanation:
First you need to multiply 6 x 22 and you get your dollars! Then multiply 22 x 25 to get your cents. Also try to do it without any cents. Convert all your cents to dollars and add to your product. And multiply 7 x 22 to get the amount of dollars for marta and 50 x 22 to get the cents for marta. Also try it without cents like it could be right or wrong. Convert the cents to dollars. Lastly, subtract what marta got in 22 hours and liza got in 22 hours. Pick the closest answer.
Answer:
$25.01 to $45.00
Step-by-step explanation:
im not 100% sure so lmk if im wrong plss
its right i just took the quiz
Solve: 2x =
1
8
Step 1: 2x = 8-1
Step 2: 2x = 2-3
Step 3: x = -3
Heather is solving the problem. Determine the step(s) in which Heather made a mistake, if any.
A) Step 1
B) Step 2
C) Step 3
D) There is no mistake
Answers
Answer:D
Step-by-step explanation:
Which of the following is equivalent to 180 centimeters?
Choose 1 answer:
0.18 meter
1.8 meters
18 meters
18,000 meters
180,000 meters
HELP ME OUT ASAP !!! PLEASEEEEE
Answers
Answer:
1.8 meters there are 100 cm in every meter.
Step-by-step explanation:
By combining with the name of the unit the prefixes deka, hecto, and kilo meaning, respectively, 10, 100, and 1000, and deci, centi, and milli, meaning, respectively, one-tenth, one-hundredth, and one-thousandth
Solve for b. 9000-b=-11,000+b
Answers
Answer:
b=10,000
Step-by-step explanation:
[tex]9,000-b=-11,000+b[/tex]
Regroup terms
[tex]9,000-b=b-11,000[/tex]
Add b to both sides
[tex]9,000-b+b=b+b-11,000\\9,000=2b-11,000[/tex]
Add 11,000 to both sides
[tex]9,000+11,000=2b-11,000+11,000\\9,000+11,000=2b[/tex]
Simplify by adding
[tex]20,000=2b[/tex]
Divide both sides by 2
[tex]\frac{20,000}{2}=\frac{2b}{2}\\ \\10,000=b[/tex]
Switch sides
[tex]b=10,000[/tex]
Done.
Answer:
b=10000
Step-by-step explanation:
add b on both sides
9000=-11000+2b
add -11000 on both sides
20000=2b
divide by 2 on both sides
b=10000
what is the vertex, axis of symmetry, domain, and range of the graph above in the picture.
Answers
Answer:
1,-4 is the vertex x=1 is the axis of symetry and domain is positive infinity to negative infinity y is any number greater than or equal to -4
Step-by-step explanation:hope this helps god bless please giv brainlyest
what is the value of X?
Answers
Answer:
x = 1
Step-by-step explanation:
Triangle ABC is congruent to Angle DEF
13x - 12 = 7x - 6
6x = 6
x = 1
Answer:
x = 1
Step-by-step explanation:
These are congruent triangles
The single line is the same length in ABC as the single line in DEF
The double line is the same length in ABC as the double line in DEF
13x-12 is the same length as 7x-6
13x-12 = 7x-6
Subtract 7x from each side
13x-12 -7x =7x-6 -7x
6x-12 =-6
Add 12 to each side
6x-12+12 = -6+12
6x = 6
Divide each side by 6
6x/6 = 6/6
x = 6/6
x = 1
2(5 - x)>8 solve for x
Answers
Answer:
x < 1
Step-by-step explanation:
To solve for x, we need to get x by itself
2(5 - x)>8
Distribute the 2
2*5 -2*x >8
10- 2x >8
Subtract 10 from both sides
10-10 -2x >8 -10
-2x > -2
Divide both sides by -2
-2x/-2> -2/-2
Since we divided by a negative number, we must flip the inequality sign
x < 1
Answer:
x < 1
Step-by-step explanation:
Given
2(5 - x) > 8 ( divide both sides by 2 )
5 - x > 4 ( subtract 5 from both sides )
- x > - 1
Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.
x < 1
Find the fourth roots of 256(cos 280° + i sin 280°)
Answers
Answer: r(cosx+isinx)
r^(1/n)(cos(x/n)+isin(x/n))
256^(1/4)(cos(280/4)+isin(280/4))
4(cos70+isin70)
Step-by-step explanation: