Four friends go out to dinner and end up with a bill of $124.42. If the city sales tax is 8.7% and they would like to leave a tip of 14% on the original amount before the sales tax added then what is the total Cost of the meal? Round answer to two decimal places
Answers
Explanation
The total bill is given as $124.42
The city sales tax is 8.7%
The tip is given as 14%
The first step is to subtract the sales tax which is 8.7% of the total bill.
\(\frac{8.7}{100}\times124.42=10.82454\)Therefore the bill before the sales tax was added is
Related Questions
Doing a survey another question I’m stuck on plz help if you understand !!tyy
Answers
Answer:
29 legs I believe
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Answers
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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A banker earns a $75,000 annual salary, a 2.35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of $2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar?
A) $140,800
B) $186,463
C) $152,875
D) $151,113
Answers
Answer:
D
Step-by-step explanation:
Complete the tasks to subtract the polynomials vertically.
(1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t)
What is the additive inverse of the polynomial being subtracted?
Answers
The additive inverse of the polynomial is A' = - ( 1.3t³ - 0.2t² - 6t - 8 )
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = ( 1.3t³ + 0.4t² - 24t ) - ( 0.6t² + 8 - 18t )
On simplifying the equation , we get
A = 1.3t³ + 0.4t² - 24t - 0.6t² - 8 + 18t
A = 1.3t³ - 0.2t² - 6t - 8
Now , the additive inverse of the polynomial is
A' = - ( 1.3t³ - 0.2t² - 6t - 8 )
Hence , the polynomial is solved
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Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))
Answers
Answer:
given;
f(x) = 5x+3
g(x) = x²-3.
Step-by-step explanation:
a f(4)=5×4+3=23
b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12
C). g( f (2))=g(5×2+3)=13²-3=166
6y=3y-18 What is thee slope intercept and what is the slope
Answers
Answer:
y = (1/2)x - 3
The slope is m = 1/2 and the y-intercept is (0, -3).
Step-by-step explanation:
Assuming that you meant 6y = 3x - 18, we solve this equation for y to obtain the slope-intercept formula y = mx + b for this particular case:
y = (3/6)x - (18/6), or
y = (1/2)x - 3
The slope is m = 1/2 and the y-intercept is (0, -3).
Part A. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)x2 + 2y2 = 17k2Part B. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)y2 = 7kx3
Answers
Answer:
Following are the solution to the question:
Step-by-step explanation:
The objective is to find the orthogonal trajectory of the family curves:
\(x^2+2y^2=17k^2\)
The family curves are: \(x^2 + 2y^2=17k^2\)
Differentiate the equation with the respect of x.
\(\to x^2+2y^2=17k^2 \\\\\to 2x+4y \frac{dy}{dx} =0\\\\\to \frac{dy}{dx} =- \frac{2x}{4y}\\\\\to \frac{dy}{dx} =- \frac{x}{2y}\)
The negative reciprocal is:
\(\to \frac{dy}{dx} =-\frac{1}{-\frac{x}{2y}}\\\\\to \frac{dy}{dx} = \frac{2y}{x}\)
Integration of the above equation:
\(\to \frac{dy}{dx} = \frac{2y}{x} \\\\\to \int \frac{dy}{2y} = \int \frac{dx}{x}\\\\\to \frac{1}{2} \log y = \log x + \log C\\\\\to \log y = 2 \log x + 2\log C \\\\\to \log y = \log x^2 +\log C^2 \\\\\to y = Ax^2 \ \ \ \ \ \ \ \ \ (A=C^2)\)
Hence, the orthogonal trajectory of the family of the curves \(x^2 + 2y^2 =17k^2 \ \ is \ \ y=Ax^2\)
i need help with #9 anyone know how to do it?
Answers
Answer:
7. P(q) = 60 -0.03(x -80)²
8. P(q) = -0.03x² +4.8x -132
9. q = 35 balloons
10. see attached
Step-by-step explanation:
You want the profit equation, break-even sales, and a graph for a party supply company that makes a maximum profit of $60 when they sell 80 balloons, and a profit of $33 when they sell 50 balloons.
7. Quadratic equationIf the profit is described by a quadratic equation with a maximum at (quantity, dollars) = (80, 60), and a point on the curve of (50, 33), we can write the equation in two steps.
The vertex-form equation will look like ...
P(q) = 60 -a(q -80)² . . . . . for some scale factor 'a'
We want P(50) = 33, so we have ...
P(50) = 33 = 60 -a(50 -80)²
33 = 60 -900a
a = (60 -33)/900 = 3/100 = 0.03
The profit equation is ...
P(q) = 60 -0.03(q -80)²
8. Standard formExpanding the equation gives ...
P(q) = 60 -0.03(q² -160q +6400)
P(q) = -0.03q² +4.8q -132
9. Break-evenThe profit is zero at ...
P(q) = 0 = 60 -0.03(q -80)²
0.03(q -80)² = 60
(q -80)² = 2000 . . . . . . . . divide by 0.03
q = 80 ±20√5 = 35.3 or 124.7 . . . . . take the square root, add 80
The store will no longer make a profit when sales drops to 35 balloons.
10. GraphThe attachment shows a graph of the profit function.
__
Additional comment
You can find where the profit goes to zero using the graph, the quadratic formula, or by solving it using vertex form, as above. The graph is quick and easy; using the vertex form equation works nicely.
Selling 36 balloons will result in a profit of $1.92.
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Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.
f(2) =
1
f−1(1) =
⇒ 2
f−1(f(2)) =
⇒ 2
f−1(−2) =
1
⇒ -4
f(−4) =
2
⇒ -2
f(f−1(−2)) =
2
⇒ -2
In general, f−1(f(x)) = f(f−1(x)) =
Answers
Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :
f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2
f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2
Given a function,
f(x) = 1/2 x
And an inverse function,
f⁻¹(x) = 2x
We have to find the values of the following.
f(2) = 1/2 × 2 = 1
f⁻¹(1) = 2 × 1 = 2
f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2
f⁻¹(-2) = 2 × -2 = -4
f(-4) = 1/2 × 4 = -2
f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2
So, in general, f⁻¹(f(x)) = f(f⁻¹(x))
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The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answers
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
How many years are there in 467 days?
Answers
Answer:
there are approximately 1.28 years in 467 days
Step-by-step explanation:
1 yr = 365 days
467/365 = 1.28
Answer: 1 year and 102 days.
Step-by-step explanation:
There are 365 days in a year.
Please help me
Thank you
Answers
The solution for x in the given equation (x-c)/2 = d is x = 2d + c.
What is the solution for x in the given equation?
Given the equation in the question;
(x-c)/2 = d
x = ?
To solve for x, cross multiply and simplify.
(x-c)/2 = d
x - c = d × 2
x - c = 2d
Add +c to both sides
x - c + c = 2d + c
x = 2d + c
Therefore, the solution for x in the given equation (x-c)/2 = d is x = 2d + c.
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How many dimes is 5.60
Answers
Answer:
56
Step-by-step explanation:
a dime =10 cent
divide 5.6 by 0.1=56
The Variance Inflationary Factor (VIF) measures the: a. correlation of the X variables with the Y variable. b. correlation of the X variables with each other. c. standard deviation of the slope. d. contribution of each X variable with the Y variable after all other X variables are included in the model. e. both a and b.
Answers
The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the
How much of an inflation variance factor is there?Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.
How high of a VIF is that?Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.
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HELP ASAP I DONT GET IT ITS DUE IN 14 MINS
Answers
Answer:
110.5 i think D
Step-by-step explanation:
just me doing work vvvvv
65 + 45.5 = 110.5
---
7 x 6.5
45.5
Answer:
110.5
Step-by-step explanation:
Tina spent 5.5 hours at the theme park. On average, she spent $8.70 each hour. How much money did she spend while at the theme park?
Answers
Answer:
\(\huge\boxed{$47.85}\)\(\huge\boxed{\$47.85}\)
Step-by-step explanation:
We know that Tina spent 5.5 hours at the theme park. If she spend $8.70 per hour, then we can multiply 8.70 by 5.5 to find the total cost.
\(8.70 \cdot 5.5 = 47.85\)
Hope this helped!
The projected profit (in thousands of dollars) of a new technology company in year t can be modeled by the polynomial 2t2 - 9t - 18
When the company will break even (have zero profit)? Show all work necessary to justify your answer.
The projected profit (in thousands of dollars) in year t of a newly developed line of business can be modeled by the monomial t3 . Write a polynomial that models the company’s total profit including this new line of business.
How many years sooner will the company break even with the new line of business? Show all work necessary to justify your answer.
Answers
a. The company will break even in 6 years
b. The total profit with the newly developed line of business is:
\(t^3+2t^2-9t-18\)c. The company will break even 3 years sooner
Explanation:The projected profit is given as:
\(2t^2-9t-18\)a. The company will break even when the profit is zero. That is;
\(\begin{gathered} 2t^2-9t-18=0 \\ \\ (2t+3)(t-6)=0 \\ 2t+3=0 \\ \Rightarrow t=-\frac{3}{2} \\ \\ t-6=0 \\ t=6 \end{gathered}\)6 is the realistic number of years (As we cannot have -3/2 years).
We conclude that they will break even in 6 years
b. The projected profit of a newly developed line of business is:
\(t^3\)The total profit is now;
\(t^3+2t^2-9t-18\)The company will break even with this new line of business as follows:
\(\begin{gathered} t^3+2t^2-9t-18=0 \\ (t+2)(t+3)(t-3) \\ t+2=0 \\ \Rightarrow t=-2 \\ t+3=0 \\ \Rightarrow t=-3 \\ t-3=0 \\ \Rightarrow t=3 \end{gathered}\)We choose t = 3 (because we cannot have -2 years or -3 years)
The difference between this and the previous time is 6 - 3 = 3 years
The company will break even 3 years sooner
The general equation for depreciation is given by y = A(1 – r)t, where y = current value,
A = original cost, r = rate of depreciation, and t = time, in years.
The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years?
Answers
Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15
How to find the value of the car in 4 yearsThe value of the car is solved by using the formula for depreciation which is y = A(1 – r)t
definition of variables
where
y = current value, = ?
A = original cost, = $24,000
r = rate of depreciation, = 15% and
t = time, in years. = 4 years
substituting the variables
current value, y = A(1 – r)t
current value, y = 24000 * (1 - 0.15)⁴
current value, y = 12528.15
the depreciation is $12528.15
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How many degrees are in 1/8 of a full turn?
Answers
Answer:
45°
Step-by-step explanation:
a full turn = 360°
then
\(\frac{1}{8}\) of 360° = 360° ÷ 8 = 45°
Suppose it is known that 20% of college students work full time.
Part A: If we randomly select 12 college students, what is the probability that exactly 3 of the 12 work full time? Round your answer to 4 decimal places.
Answers
Answer:
0.2369
Step-by-step explanation:
To find the probability of exactly 3 out of 12 randomly selected college students working full time, we can use the binomial probability formula.
The formula for the probability of exactly k successes in n trials, where the probability of success is p, is:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
In this case, n = 12 (number of trials), k = 3 (number of successes), and p = 0.20 (probability of success, i.e., percentage of college students working full time).
Plugging in the values:
P(X = 3) = (12 choose 3) * 0.20^3 * (1 - 0.20)^(12 - 3)
Calculating the expression:
P(X = 3) = (12! / (3! * (12 - 3)!)) * 0.20^3 * (0.80^9)
= (12! / (3! * 9!)) * 0.008 * 0.134217728
≈ 0.2369 (rounded to 4 decimal places)
Therefore, the probability that exactly 3 out of the 12 randomly selected college students work full time is approximately 0.2369.
Hope this helps!
I will mark you brainiest!
What is the length of EF?
A) 2.4
B) 3.8
C) 0.5
D) 1.2
Answers
Answer: 2.4
Step-by-step explanation: Given the angles below, the length of EF will be 2.4
Answer:
B) 3.8.
EF = 3.8
Use the law of sines to find the unknown length EF
Algebra 1 Course challenge f(x) = x2 g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to the right/left v by units. Report a problem
Answers
To get the function g(x) you shift the function f(x) up by 5 units, and shift it to the left by 3 units.
if we start by shifting f(x) by 5 units up, we would have
\(\begin{gathered} x^2+5^{} \\ \text{If we shift it by 3 units to the left, } \end{gathered}\)no one helps me please help
Answers
Answer:
A, C, and D
Explanation:
32 rows
15 seats per 1 row
So,
32 × 15 = k
You can try arranging to get more choices.
32 × 15 = k
32 = k ÷ 15
and
32 × 15 = k
15 × 32 = k
15 = k ÷ 32
2c minus 78 degrees to find angle s
Answers
Answer:
2c - 78 =s
Step-by-step explanation:
? in a triangle all angles add up to 180
?in quadilateral all angles adds up to 360
depends on the shape
Please help me with this question and please show me step by step and the frmula used.
Answers
By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.
How to determine the initial height of the ball
In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:
(t, h) = (0 s, 5 ft)
Second, the final height of the ball is equal to:
h = 5 ft
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ILL GIVE BRAINLEST, find the area of the square or rectangle. please show work :)
Answers
Step by step solution: see photo
What is the pattern for the sequence 1.3, 8.3, 27.3, 64.3,…?
Answers
The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3
Calculating the pattern for the sequenceThe pattern in the question is given as
1.3, 8.3, 27.3, 64.3,…
In the above expressions and pattern, we can see that
The decimal part remain unchangedThe digit before the decimal is the cube of its positionFrom the above, we have the following
Current term = (n)³.3
Note that the decimal does not represent product
And also the pattern is a geometric sequence
Hence, the pattern for the sequence is f(n) = (n)³.3
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4 Paul sees this advert for a payment plan for a laptop.
Laptop payment plan
normal price £240
pay a deposit of £36 and £15 a month for 12 months
use our payment plan and save 8% of the normal price
(a) Does using the payment plan save 8% of the normal price?
You must show your working
Answers
Step-by-step explanation:
by using the paymdnt pkan, the total amount to pay is,
36 + 15×12
= £216
so saving 240-216 = 24. ( 10%)
so it is not 8% saving
pls help solve for z
Answers
Answer:
where is the work
Step-by-step explanation:
fdcaccge so tsf
Answer:
Step-by-step explanation:
z/m - z/n = 1 Take out z as a common factor.
z (1/m - 1/n) = 1 Find the common denominator of the 2 fractions
m * n is the common denominator. Multiply the two fractions by mn
z (n - m)/mn = 1 Multiply by mn
z (n - m) = mn Divide by n - m
z = mn/(n - m)
The last line is your answer.
If two events (both with probability greater than 0) are mutually exclusive, then:
Answers
Answer:
they are not independent
Step-by-step explanation:
they are not independent they would be independent if they didn't depend on each other or if the probability didn't affect the other.