the daily info newspaper charges a fee of $650 plus $80 per week to run an ad. the peoples paper charges $145 per week. for how many weeks will the total cost at the peoples paper be less expensive
Answers
The total cost at the peoples paper be less expensive will represent by the inequality 650 + 80w < 145w.
What is inequality?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given that the daily info newspaper charges a fee of $650 plus $80 per week to run an ad.
Assume that after w weeks the total cost at the peoples paper be less expensive.
To run ad. for w week, the cost will be 80w.
The total cost of material of newspaper is p(w) = 650 + 80w
The peoples paper charges $145 per week.
The peoples paper charges after w week will be f(w) = 145w.
According to the question:
p(w) < f(w)
650 + 80w < 145w
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Related Questions
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 300030003000 feet and height of 120012001200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 101010 inches.
1. What scale is Alexander using?
2. What is the height of Alexander's triangle in inches?
Answers
Alexander is utilizing a scale of 1 inch : 300 feet for his map.
The Alexander's triangle has a height of 4 inches in inches.
How to determine the map's scaleWhen comparing the initial dimensions as used by alexander, the scale of the map may be determined.
The scale is 1 inch: 300 feet since he used 10 inches to symbolize 3000 feet, this is gotten by diving both sides by 10
Using the scale factor 1 inch: 300 feet, the height of 1200 feet would be.
300 feet per inch, then ? inch is 1200 feet
? * 300 = 1200 * 1
? = 1200 / 300
? = 4 inches
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subtract the following .1/2 from 3/5
Answers
Answer:
1/10
Step-by-step explanation:
1/2= 5/10 - make it an equivalent fraction with the same denominator as the other fraction.
3/5= 6/10
5/10-6/10- subtract
=1/10
Find the area of the figure to the nearest hundredth.
Answers
Step-by-step explanation:
We have 2 Semicircular. area of each one :
\(\pi \: \times \: r\)
r = 2.5ft and pi=~3 ==> 7.5×2=15ft (area of two Semicircular)
the area of triangle = 5 + 5 + 6 = 16ft
area of the figure = 16 + 15 = 31ft
For which triangle does the Pythagorean Theorem
express the relationship between the lengths of its three
sides?
A
B
C
D
Answers
Pythagorean theorem is represented by triangle B.
Which triangle express the relationships according to Pythagorean theorem?
In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:
r² = x² + y²
Where:
x, y - Legsr - Hypotenuse.Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.
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Poster is 3 inches long , it is four times wide as it is long
Answers
Step-by-step explanation:
if it is three inches long do 4x3 which is 12 inches
please i need help with 4th grade math please write the answer and shiw the solution hownto solve the problem step by step.thank you much appreciated.
Aaron has between 100 and 110 baseball cards in his collection.If he counts his cards 2 at a time,he has 1 card left over.If he counts his cards 5 at a time,he has 2 cards left over . How many cards are in Aaron's collection ?
Answers
Answer:
110
Step-by-step explanation:
Answer:
107 cards
Step-by-step explanation:
So if you skip count by 5 up to one hundred, and then add 2, it's still and even number which the skip counting by 2 says won't work. So then skip count by 5 up to 105 and add 2 to get 107. Hope that makes sense! :)
Find the slope of the line. Describe how one variable changes in relation to the other. A. 2; distance increases by 2 miles per hour B. 2; distance decreases by 2 miles per hour C. 1/2; distance increases by 1 mile every 2 hours D. 1/2; distance decreases by 1 mile every 2 hours
Answers
The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.
What is a good example of a line's slope?
The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.
A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.
B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.
C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.
D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.
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Help me it’s homework please please
Answers
Answer: C
Step-by-step explanation:
Cause you multiply by the numbers that are shown
Find the percent increase. From $5.00 to $9.00
Answers
GIVING BRAINLIEST JUST HELP PLZZ.
Answers
Answer
V=216
Step-by-step explanation:
V=BxH
24 x 9 = 216
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
Answers
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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Question 1 of 10
Which expressions are equivalent to the one below? Check all that apply.
log 2-log 4
A. log(¹)
B. log 1
C. log(2) + log(¹)
D. log 2
Answers
"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).
The expression "log 2 - log 4" can be simplified using logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."
The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:
A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.
B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.
C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.
D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.
Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.
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At noon, a submarine was located at 5 12 meters below
sea level. In the next hour, it descended to an elevation
of -10.4 meters. What was the distance between the
submarine's initial and final elevation?
Answers
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answers
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
Show that sin⁴x-cos⁴x/ sin²x-cos²x = 1
Answers
Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1.
Here, we have,
given that,
the LHS is:
sin⁴x-cos⁴x/ sin²x-cos²x
now, we know that,
sin²x+cos²x = 1
and, we know that,
a² - b² = (a+b) (a-b)
so, we get,
sin⁴x-cos⁴x/ sin²x-cos²x
= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x
=(sin²x+cos²x)
=1
= RHS
Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1
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Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(0, −8) and line y = 8.
Answers
Answer:
-1/32 × x
Step-by-step explanation:
let's define and identify the correct markers of the correct parabola.
so, we have the focus point F (0, -8).
we have the directrix y = 8.
that means the the vertex point (the middle between the focus and the directrix) is (0, 0).
a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.
so, we can rule out the 2 positive answer options.
to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.
e.g. x = 1
so,
y = -1/8 × x²
gives us y = -1/8 for x = 1
that means the point is (1, -1/8).
the distance to the focus (0, -8) is
(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =
= 64/64 + 3969/64 = 4033/64
the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.
so, the distance (1, -1/8) to (1, 8) is
(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64
that is not equal to the distance to the focus.
so, let's try
y = -1/32 × x
the point for x = 1 is (1, -1/32)
distance to focus
(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =
= 1024/1024 + 65025/1024 = 66049/1024
distance to directrix
(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024
which is the same distance as to the focus.
so, y = -1/32 × x is the right answer.
FYI - for an actual distance I would have to create the square roots of the numbers used here.
but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
Are the conditions for inference met?
Random: We have a random sample of .
10%: 200 customers < 10% of .
Large Counts: There are expected successes and expected failures, which are both at least .
Answers
A company CEO says that 85% of their customers are repeat customers. A sample of 200 customers was taken, and it was found that 162 of them were repeat customers. We want to know if this sample supports the CEO's claim, or if it suggests that less than 85% of the company's customers are repeat customers. We performed a statistical test and found that the sample provides evidence at a significance level of 5% that less than 85% of customers are repeat customers. The conditions for this test are met because the sample was taken randomly, and the sample size is small enough compared to the overall population size.
1. Lily wants to buy 4 pounds of cereal for her camping trip. The boxes are each 18 ounces. According to the number line, how many boxes will she need to buy to have at least 4 pounds? 18 36 72 +++ 26 32 48 80
1: 2 boxes
2: 5 boxes
3: 3 boxes
4: 4 boxes
Answers
Answer: 4 boxes.
Step-by-step explanation:
We know that each box has 18 ounces of cereal.
We know that:
1 lb = 16 oz
Then:
1 = (1lb/16oz)
Then we can write:
18 oz = 18oz*(1lb/16oz) = (18/16) lb
This means that each box has (18/16) pounds of cereal.
Now, how many boxes we need to buy if we want to have at least 4 pounds of cereal?
If we buy N boxes, we will have N*(18/16) lb boxes of cereal.
Let's find N such that:
N*(18/16) lb = 4lb
N = 4*(16/18) = 3.56
But you can not have a 0.56 of a box, so we should round our number up to the next whole number, then we get:
N = 4.
She should buy 4 boxes.
Answer:
4
Step-by-step explanation:
Good Luck
What’s the graph to t/3 - 1 > -3
Answers
Answer: The answer is C
Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C
I don’t wanna fail if you know the answer pls help me :(
Answers
Answer:
5.62790697674
Step-by-step explanation:
there you go
Answer:
the annswer is 5
Step-by-step explanation: you just have to divide the highlighted numbers, which are 20 ÷ 5
Enter the unknown value that makes this statement true: ___% of 540 is 180
Answers
Answer:
33.3
Step-by-step explanation:
What is the square root of -1
Answers
Answer:
i
I hope this helps!
Answer:
\( { - 1}^{ \frac{1}{2} } .\)
Step-by-step explanation:
\( \sqrt{ - 1} \: \: = - 1 ^{ \frac{1}{2} } = {( - 1 \times 1)}^{ \frac{1}{2} } \\ since \: - 1 \times 1 = - 1 \\ the \: ans \: is : \\ { - 1}^{ \frac{1}{2} } .\)
♨Rage♨
Samantha invested $40,500 at 6% to be compounded annually. What will be the value of Samantha's investment in 3 years? Round your answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month.
Answers
Answer:
7.45
Step-by-step explanation:
if fifteen families are coming to the picnic and they all split the cost evenly between them how much will each family contribute towards the cost of the shelter
Answers
You have made a profit of $32 per share on a stock. Given, you sold 2,000 shares of the stock, how much profit did you make?
Answers
Answer:
$64,000
Step-by-step explanation:
Number of shares times the profit per share equals total profit.
2000 * 32 = 64,000
Please help! The question is in the image.
Answers
Answer:
Step-by-step explanation:
Factor 64+ 60. Write your answer in the form a(b + c) where a is the GCF of 64 and 60
Answers
64 + 60 = 2x2x2x2x2x2 + 2x2x3x5 = 2x2(2x2x2x2 + 3x5) = 4(16 + 15)
Please help.
Is it no solution, one solution or infinitely many
Solution.
Answers
8g=9.6 dude can somebody help me with this I cannot figure out how to work the problem
Answers
Answer: g=1.2
Step-by-step explanation:
Answer:
I don't get what you're asking for
Step-by-step explanation:
I don't know.
The data set below shows the number of siblings of several students.
{2, 1, 0,5, 1,4,3}
Median =
Quartile 1 =
Quartile 3 =
Answers
Quartile 1= 1
Quartile 3= 4