A local bookstore tracked the type of payments people make at their store. Out of 100 people, 40 paid with cash, 55 paid with a credit card and 5 used a gift card. Based on this information, what is a reasonable prediction of the number of people paying with cash if they had 600 customers?
Answers
Answer:
Cash = 240, Credit = 330, Gift = 30
Step-by-step explanation:
We know from this the precentage of people using different payment methods
Cash = 40/100 = 40%
Credit card = 55/100 = 55%
Gift card = 5%
We can then find the number of people using each method regardless of total amount of people
Cash = 40% * 600 = 240
Credit = 55% * 600 = 330
Gift card = 5% * 600 = 30
Total = 240 + 30 + 330= 600
Answer:
240
Step-by-step explanation:
Set up a proportion. Out of 100 people, 40 people paid with cash. Out of 600 people, x people paid with cash.
\(\frac{40}{100} =\frac{x}{600}\)
Cross multiply and solve for x.
\(24000 = 100x\\24000/100=100x/100\\240 =x\\x=240\)
240 customers paid with cash.
Related Questions
Ben's monthly housing costs for his new home will be $2100 per month. What
must his monthly net income be to keep housing as 30% of his budget?
Answers
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The monthly net income to keep housing a 30% of his budget is $7000.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Cost of monthly housing per month = $2100
$2100 = 30%
Monthly income = 100%
30% = 2100
Multiply 100/30 on both sides.
100/30 x 30% = 100/30 x 2100
100% = 7000
Thus,
The monthly net income to keep housing a 30% of his budget is $7000.
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If $2500 is invested at an interest rate of 4.5% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.) (a) 2 years $ X (b) 4 years $ X (c) 12 years $
Answers
The value of the investment after 2 years is $2833.19, after 4 years is $3249.22, and after 12 years is $4842.13.
We know that the formula for the amount of money A after t years with a principal P and a fixed annual interest rate r compounded continuously is:
A = Pe^{rt}
Where A is the amount, P is the principal, r is the annual interest rate, t is the number of years the money is invested, and e is the natural logarithmic base whose approximate value is 2.71828.
We are given the following information:
Principal (P) = $2500
Annual Interest Rate (r) = 4.5% = 0.045(a)
Time (t) = 2 years
Using the formula for the amount, we get:
A = Pe^{rt} = \($2500e^{(0.045)(2)}\) = $2833.19
Therefore, the investment is worth $2833.19 after 2 years.
Time (t) = 4 years
Using the formula for the amount, we get:
A = Pe^{rt} = \($2500e^{(0.045)(4)}\) = $3249.22
Therefore, the investment is worth $3249.22 after 4 years.
Time (t) = 12 years
Using the formula for the amount, we get:
A = Pe^{rt} = \($2500e^{(0.045)(12)}\) = $4842.13
Therefore, the investment is worth $4842.13 after 12 years.
Thus, the value of the investment after 2 years is $2833.19, after 4 years is $3249.22, and after 12 years is $4842.13.
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PLS HELP ASAP 100 POINTS
Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use?
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)
Answers
Answer:
60°60°, vertical angles60°, measure of a straight angleStep-by-step explanation:
Given right angle XOV and 30° angle XOW, you want to know the measure of angle WOV. You also want to find the measure of angle YOZ, which is opposite angle VOW, where XOY is a right angle, and WOZ is a straight angle.
1. WOVThe angle addition theorem tells you that ...
∠XOW +∠WOV = ∠XOV
Angle XOV is given as a right angle, and angle XOW is shown as 30°, so we have ...
30° +∠WOV = 90°
∠WOV = 60° . . . . . . . . . subtract 30° from both sides
Angle WOV is 60° using the angle addition theorem.
2. YOZRays OY and OV are opposite rays, as are rays OZ and OW. This means angles YOZ and VOW are vertical angles, hence congruent.
∠YOZ = ∠WOV = 60°
Angle YOZ is 60° using the congruence of vertical angles.
3. YOZ another wayAs in part 2, angle WOZ is a straight angle, so measures 180°. The angle addition theorem tells you this is the sum of its parts:
∠ZOY +∠YOX +∠XOW = ∠ZOW
∠ZOY +90° +30° = 180°
∠ZOY = 60° . . . . . . . . . . . . . subtract 120° from both sides
Angle YOZ is 60° using the measure of a straight angle.
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Is 23.2 greater than 156
Answers
Answer:
no
Step-by-step explanation:
23.2 < 156
PLLLEASEEE HELLPPP I WILL GIVE BRAINLIEST!!!!
Answers
Answer:
Step-by-step explanation:
to make it quick
2*110 = arc FI
220° = arc FI
arc LI = 97°
arc FL = x
360 = 220 + 97 + x
43 = X
arc FL = 43°
:)
The blueprint of a fishing pier uses a scale of 1/8 inch = 5 feet. If the pier is 19 3/4 inches long on the blueprint, find its actual length.
Answers
Answer:
790
Step-by-step explanation:
19 3/4÷ 1/8=158
158*5 = 790
need help
with 1.9 more especially
Answers
Answer:
1/2 × |AB| × |OE|
Step-by-step explanation:
use the formula for finding the area of a triangle.
A number is 5 more than two times the amount of a second number. The sum of the two numbers is 35. What are the two numbers?
Answers
Answer: 10 and 25
Step-by-step explanation:
What is the value of (-3.8) +0+ (-1.6) + 6.4?
Answers
Answer:
Step-by-step explanation:
solved & got 8.6
A right rectangular prism is sliced parallel to the base. What is the area of the resulting two-dimensional cross-section?
Answers
Answer:
The area of the resulting two-dimensional cross-section is 12 cm².
Step-by-step explanation:
The area of the cross-section of the right rectangular prism, parallel to the base, is given by the area of a rectangle:
\( A_{cs} = A_{r} = a*b \)
Where:
\( A_{cs}\): is the area of the cross-section
\( A_{r} \): is the area of a rectangle
a: is the length of one side of the rectangle = 4 cm
b: is the length of the other side of the rectangle = 3 cm
Hence, the area of the cross-section is:
\( A_{cs} = a*b = 4 cm*3 cm = 12 cm^{2} \)
Therefore, the area of the resulting two-dimensional cross-section is 12 cm².
I hope it helps you!
The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 126 square inches. Solve for the dimensions (length and width) of the poster.
Answers
The dimensions of the posters are 21 inches and 6 inches
What is the area of the rectangle?
Rectangle is a quadrilateral with opposite sides parallel and equal. And every angle is a right angle. The area of the rectangle equals the product of length and breadth
We are given that, The length of a rectangular poster is 9 more inches than two times its width.
Let the length be l and width be w
Hence the relation can be given as,
l = 2w+9
Also the area of the rectangle is 126
hence
126 = l*w
126 = (2w+9)*w
126 = 2w^2+9w
2 w^2+9w-126=0
On solving the equation we get the value of w as
w= 6 and w =-10.5
The length and width cannot be negative hence
W =6
Hence length equals
L =2w+9
L= 12+9
L=21
Hence the dimensions are length = 21 inches and width = 6inches
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Answer:bdbehayssbeu
Step-by-step explanation:
dhdheheyshshsvv55557
After a 80% reduction, you purchase a new DVD player on sale for $160. What was the original price of the DVD player?
The original price was $
Answers
Answer: $800
Step-by-step explanation: 80% of 800 is 640. So you would do 800-640=160. Hope this helps :)
A. Ella sells flair pens for $2.50 each. How many flair pens, p, does she need to sell to make at least $18
B.Austin has $18. Pencils cost 15 cents each. He buys one pencil. How much money does he have left, p.?
C. Janessa has $18 to spend on lunch. She spent $2.50 on a slice of pizza. How money can she spend on her drink, p?
D. Caleb has $18. Popcorn is $2.50 each. How many bags of popcorn, p, can he buy?
Answers
Answer:
A. 8 pens
B. $17.85
C. $15.50
D. 7 bags
4. question C
Step-by-step explanation:
A. 18/2.50=7.2
B. 18.00-0.15=17.85
C. 18.00-2.50=15.50
D. 18.00/2.50=7.2
a national survey asked 1,501 randomly selected employed adults how many hours they work per week. based on the collected data, a 95 percent confidence interval for the mean number of hours worked per week for all employed adults was given as (41.18,42.63) . which of the following statements is a correct interpretation of the interval?
A. Ninety-five percenr of all employed adults work between 41.18 hours and 42.63 hours per week.
B. The pribability is 0.95 that a sample of size 1501 will produce a mean between 41.18 hours and 42.63 hours
C. Of all samples od size 1501 taken from the population, 95% of the samples will have a mean between 41.18 hours and 42.63 hours
D. We are 95% confident that the mean number of hours worked per week for employed adults in the sample is 41.18 hours and 42.63 hours
E. We are 95% confident that the mean number of hours worked per week for all employed adults is 41.18 hours and 42.63 hour
Answers
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
Option D is correct because it accurately interprets the meaning of a 95% confidence interval.
Option A is incorrect because we cannot make a statement about all employed adults, only about the sample of 1,501 employed adults that was surveyed.
Option B is incorrect because the probability of obtaining a mean between 41.18 hours and 42.63 hours applies only to the specific sample of 1,501 employed adults that was surveyed, not to all possible samples.
Option C is incorrect because the statement refers to 95% of all possible samples, which is not the same as the 95% confidence interval calculated for the specific sample of 1,501 employed adults that was surveyed.
Option D is the correct interpretation of the confidence interval. It means that if we were to take many samples of 1,501 employed adults from the population and calculate a 95% confidence interval for each sample, about 95% of those intervals would contain the true population mean. In other words, we can be 95% confident that the true population mean falls between 41.18 hours and 42.63 hours.
Option E is incorrect because we cannot make a statement with confidence about the true population mean, only about the sample mean.
Hence option D is correct.
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which expressions can we use to describe how many more seconds tatenda spends than ciara spends mowing lawns during 4 weeks?
Answers
The expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c) .
What is an expression in math example?
2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2 is the coefficient of x in the formula 2x + 3, which indicates 2 times x plus 3.time taken by tatenda to mow a square meter of lawn = t seconds
time taken by Ciara to mow a square meter of lawn = c seconds
area mowed by tatenda in a week = 700 square meters
area mowed by Ciara in a week = 750 square meters
the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks
time taken by tatenda for mowing in 4 weeks = 4 * 700 * t seconds
time taken by Ciara for mowing in 4 weeks = 4 * 750 * c seconds
more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks = [4 * 700 * t ] - [4 * 750 * c]
= 4(700t- 750c)
Therefore, the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c).
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A local water park found that if the price of admission was $19, the attendance was about 1550 customers per week. When the price of admission was dropped to $16,attendance increased to about 2350 per week. Write a linear equation for the attendance in terms of the price,p. (A = mp + b)
Answers
Given:
When the price of admission was $19, the attendance was about 1550 customers per week
And, when the price of admission was dropped to $16,
attendance increased to about 2350 per week
Let the attendance = A
And the price = p
The linear equation will be A = mp + b
Where (m) is the slope and (b) is the y-intercept
So,
When p = 19, A = 1550
When p = 16, A = 2350
So,
\(m=\frac{2350-1550}{16-19}=\frac{800}{-3}=-\frac{800}{3}\)So,
\(A=-\frac{800}{3}p+b\)we will find the value of (b) as follows:
\(\begin{gathered} 1550=-\frac{800}{3}\cdot19+b \\ 1550=-\frac{15200}{3}+b \\ b=\frac{19850}{3} \end{gathered}\)So, the answer will be the linear equation is:
\(A=\frac{-800}{3}p+\frac{19850}{3}\)help if you can asap pls an thank you!!!!
Answers
Answer: SSS
Step-by-step explanation:
The lines on the triangles say that 2 of the sides are equal. Th triangles also share a 3rd side that is equal.
So, a side, a side and a side proves the triangles are congruent through, SSS
Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What
distance will Dallas run from point A to point B?
30 yards
48 yards
50 yards
98 yards
Answers
Answer:
B 48 yards
Step-by-step explanation:
a numerical measure computed from a sample, such as sample mean, is known as a . a. population parameter b. sample statistic c. population statistic d. sample parameter
Answers
A numerical measure computed from a sample, such as sample mean, is known as Sample statistic
What is Statistic?
The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
A sample statistic is a metric that is calculated from a sample, such as sample mean. A population parameter is a numerical measure derived from a population, such as a mean.
Any value calculated from your sample data is referred to as a sample statistic (or simply a statistic). The sample average, median, sample standard deviation, and percentiles are a few examples. Because a statistic is based on data gathered through random sampling, which is a random experiment, it is a random variable.
Hence, A numerical measure computed from a sample, such as sample mean, is known as Sample statistic
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(1) Using the Black/Scholes Option Pricing Model, calculate the value of the call option given: S=74; X=70;T=6 months; σ2=.50 Rf=10% (2) What is the intrinsic value of the call? (3) What stock price is necessary to break-even? 4 If volatility were to decrease, the value of the call would (5 If the exercise price would increase, the value of the call would ? 6 If the time to maturity were 3-months, the value of the call would ? 77 If the stock price were $62, the value of the call would ? 8 What is the maximum value that a call can take? Why?
Answers
(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.
(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.
(4) If volatility were to decrease, the value of the call would decrease.
(5) If the exercise price would increase, the value of the call would decrease.
(6) If the time to maturity were 3-months, the value of the call would decrease.
(7) If the stock price were $62, the value of the call would be zero.
(8) The maximum value that a call option can take is unlimited.
In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:
C = S*N(d1) - X*e^(-rT)*N(d2)
where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.
Using the given values, we can calculate d1 and d2:
d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))
= [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))
= 0.9827
d2 = d1 - σ2T^(1/2) = 0.7327
Using these values, we can calculate the value of the call option:
C = S*N(d1) - X*e^(-rT)*N(d2)
= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)
= $7.70
The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.
If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.
If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.
The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.
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help pleaseeeeeeeeeeeeee
Answers
Answer:
9+2c
Step-by-step explanation:
Answer:
9+2c
Step-by-step explanation:
this usually means that when "the sum of 9" is there mean the number/9 starts the problem off and then"twice Chrissy's savings" mean there is a number 2 then the variable because twice=2 then the number of her savings.
Cake is shared among Mary, Ann and Susan in the ratio 2 : 5 : 7. If Susan's share is 6 pieces more than twice the share of Mary, find the number of pieces of cake Ann gets.
Answers
Answer:
the answer is 6
Step-by-step explanation:
I don’t know if it’s correct !!!!!!!!!! Please HELP !!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!!
Answers
Answer:
wdym will mark brainliest
Step-by-step explanation:
oh the answer is
let f(t)f(t) be the number of us billionaires in year tt. in 1985 there were 13 us billionaires, and in 1990 there were 99 us billionaires. assuming the yearly increase remains constant, find a formula predicting the number of us billionaires in year tt.
Answers
The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.
The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).
The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b
where
t is the year and f(t) is the number of US billionaires in that year (t).
m is the slope of the line and b is the y-intercept.
The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)
Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.
Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.
The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129
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Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of the diagonal of the garden? Round to the nearest tenth.
Answers
The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet
What is a rectangle?A rectangle is a quadrilateral with four sides and four vertices each of angle 90°.
Analysis:
Area of rectangle: 19.6 square feet
length of one side = 4.3 feet
width of one side = Area/length = 19.6/4.3 = 4.6 feet
the diagonal and width and length of a rectangle for a right angle triangle.
To find the diagonal, we use Pythagoras theorem
\((diagonal)^{2}\) = \((length)^{2}\) + \((width)^{2}\)
\((diagonal)^{2}\) = \((4.3)^{2}\) + \((4.6)^{2}\)
\((diagonal)^{2}\) = 39.7
diagonal = \(\sqrt{39.7}\) = 6.3 feet
in conclusion, the diagonal of the rectangular garden is 6.3 feet
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Nine players on a baseball team are arranged in the batting order. What is the probability that the first two players in the lineup will be the center fielder and the shortstop, in that order?
Answers
Answer: The probability of the first player being the center fielder is 1 out of 9 because there is only one center fielder on the team.
After the center fielder is chosen, there are 8 players remaining, and the probability of the second player being the shortstop is 1 out of 8 because there is only one shortstop on the team.
To calculate the probability of both events occurring in order, we multiply the individual probabilities:
Probability = (1/9) * (1/8) = 1/72
Therefore, the probability that the first two players in the lineup will be the center fielder and the shortstop, in that order, is 1 out of 72.
what are the terms a0, a1, a2, and a3 of the sequence {an}, where an equals a) 2n 1? b) (n 1)n 1? c) n/2? d) n/2 n/2?
Answers
When a\(_{n}\) = \(2^{n}\)+ n, a₀ = 1, a₁ = 3, a₂ = 6, and a₃ = 11
When a\(_{n}\) = n^(n+1)!, a₀ = 0, a₁ = 2, a₂ = 2⁶, and a₃ = 3²⁴
When a\(_{n}\) = [n/2], a₀ = 0, a₁ = 1/2, a₂ = 1, and a₃ = 3/2
When a\(_{n}\) = [n/2] + [n/2], a₀ = 0, a₁ = 1, a₂ = 2, and a₃ = 3/2
Number sequence
A number sequence is a progression or a list of numbers that are directed by a pattern or rule.
Here,
a₀, a₁, a₂, and a₃ are terms of a sequence
from option a, a\(_{n}\) = \(2^{n}\)+ n
⇒ a₀ = 2⁰+ 0 = 1+0 = 1
⇒ a₁ = 2¹+ 1 = 2+1 = 3
⇒ a₂, = 2²+ 2 = 4+2 = 6
⇒ a₃ = 2³+ 3 = 8 +3 = 11
from option b, a\(_{n}\) = n^(n+1)!
⇒ a₀ = 0^(0+1)! = 0
⇒ a₁ = 1^(1+1)! = 2² = 2
⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶ [ ∵ 3! = 6 ]
⇒ a₃ = 3^(3+1)! = 3^(4)! = 3²⁴ [ ∵ 4! = 24 ]
from option c, a\(_{n}\) = [n/2]
⇒ a₀ = [0/2] = 0
⇒ a₁ = [1/2] = 1/2
⇒ a₂, = [2/2] = 1
⇒ a₃ = [3/2] = 3/2
from option d, a\(_{n}\) = [n/2] + [n/2]
⇒ a₀ = [0/2] + [0/2] = 0
⇒ a₁ = [1/2] + [1/2] = 1/2 + 1/2 = 1
⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2
⇒ a₃ = [3/2] + [3/2] = 6/4 = 3/2
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The Complete Question is -
What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals
a. \(2^{n}\) + n b. n^(n+1)!
c. [n/2] d. [n/2] + [n/2]
Rose used the following compatible numbers to estimate how much she spent per person on gifts. What is her quotient?
A. $23
B. $22
C. $21
D. $20
Answers
The estimated quotient is $20, which corresponds to option D in the given choices. Thus, Rose estimated that she spent $20 per person on gifts.
What is compatible numbers?Compatible numbers are numbers that are close in value and can be easily divided or multiplied mentally. These numbers are used to make estimation in mathematical calculations easier and quicker. By rounding numbers to compatible numbers, calculations become simpler, and errors are minimized.
For example, if you need to divide 26 by 5, you can use compatible numbers by rounding 26 to 25 and 5 to 4. Then, you can easily divide 25 by 4 to get an estimate of the quotient as 6.25. Compatible numbers can also be used in multiplication, addition, and subtraction.
Using compatible numbers is particularly helpful when performing mental calculations or when there is no calculator available.
To estimate the quotient of 420 divided by 21 using compatible numbers, we can round 420 to 400 and 21 to 20. Then, we can divide 400 by 20 to get an estimate of the quotient:
420 ≈ 400
21 ≈ 20
400 ÷ 20 = 20
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What percent of 8 is 6? pls give a detailed explanation thanks
Answers
Answer:
x/100 x 8 = 6
8x/100 = 6
x100 x100
8x = 600
Divide by 8 on both sides:
X = 75
Consider a percent out of 100. 'Of' meaning multiplication. 'is' meaning equal to that number.
(unknown number/percent)x/100 x 8(of 8) = 6(is 6)
Explain what a value c in ratios?
Answers
Answer:
Value C is equivalent to value a and b
thank you next, ~