A rental car agency charges $15 per day plus 11 cents per mile to rent a certain car. Another agency charges $18 per day plus 8 cents per mile to rent the same car. How many miles will have to be driven for the cost of the car from the first agency to equal the cost of a car from the second agency?
Answers
If a rental car agency charges $15 per day plus 11 cents per mile to rent a certain car. The number of miles you have to be driven for the cost of the car from the first agency to equal the cost of a car from the second agency is 100 miles.
How to find the number of miles:First step is to set the equation that will be used to find the number of miles
Equation
15+.11x=18+.08x
So,
Number of miles
15+.11x=18+.08x
Collect like terms
.03x=3
Divide both side by 0.03
x=3/.03
x =100 miles
Therefore we can conclude that the number of miles is 100 miles.
Learn more about number of miles here:https://brainly.com/question/29806974
#SPJ1
Related Questions
\( \frac{2}{4} + 5 \times 36 + 2 \frac{6}{3 } = \)
what is answer
Answers
Step-by-step explanation:
\( \frac{2}{4} + 5 \times 36 + 2 \frac{6}{3} \)
\( = \frac{1}{2} + 180 + 2 \times \frac{2}{1} \)
\( = \frac{1}{2} + 180 + 4\)
\( = \frac{1 + 360 + 8}{2} \)
\( = \frac{369}{2} \)
\( = 184 \frac{1}{2} \: or \: 184.5(ans)\)
Will mark brainliest!!
Solve for x
Answers
Answer:
The x=22
Step-by-step explanation:
-5t2 + 14t + 3 = 0
ANSWER PLSS!!!!!
Answers
Answer:
t=3
Step-by-step explanation:
simplify the given expression 7+ 8a/5b
Answers
Answer:
= \(\frac{35b + 8a}{5b}\)
Step-by-step explanation:
Convert element to fraction:
= 7*5b/5b + 8a/5b
Combine the fractions (Equal denominators):
= 7*5b+8a/5b
Multiply the numbers (7*5):
= 35b + 8a / 5b
Ween Berhad is considering the purchase of a new piece of equipment to replace the current equipment. The new equipment costs RM75,000 and requires RM5,000 in installation costs. It shall be depreciated under MACRS using a 5-year recovery period (See MARCS in Appendix to Question Paper). The old piece of equipment was purchased 4 years ago for an installed cost of RM50,000; it was being depreciated under MACRS using a 5-year recovery period. The old equipment can be sold today for RM55,000 net of any removal or cleanup costs. As a result of the proposed replacement, the firm's investment in net working capital is expected to increase by RM15,000. The firm pays tax at a rate of 40%.
(a). Calculate the book value of the old piece of equipment.
Answers
The New book value for Old piece Equipment is RM30, 000.
What is Depreciation?Depreciation is an accounting technique for spreading out the expense of a tangible item over the course of its useful life. How much of an asset's value has been used is shown through depreciation. It enables businesses to purchase assets over a predetermined length of time and generate income from those assets.
Given:
We know
Net Book Value = Original Asset Cost – Accumulated Depreciation.
Accumulated Depreciation
= 5000 x 5
= 25000
Net Book Value = $55000– $25000= $30000
Hence, the New book value for Old piece Equipment is RM30, 000.
Learn more about Depreciation here:
The odds of an event happening are 7/3
What are the odds against the event happening?
A. 7/3
B/3/7
Answers
Consider a particular baseball player at bat. The height of the ball at time t can be modeled by h=-16t^2+v t+h. Here, v is the initial upward velocity of the ball, and h is the height at which the ball is hit. if a ball is 4 feet off the ground when it is hit with a negligible upward velocity close to 0 feet per second, when will the ball hit the ground?
Answers
Solve for \(t\) when \(h=0\), given \(v_0=0\) and \(h_0 = 4\).
\(0 = -16t^2 + 4 \implies 16t^2 = 4 \implies t^2 = \dfrac14 \implies t = \dfrac12\)
so it will take half a second for the ball to hit the ground.
Which point is located at -1 3/8?
Answers
Point C is located at -1 3/8
Hope that helps!
The graph of the function rule that models the volume of the sphere has symmetry with respect to ____?
Answers
The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.
Explain the term symmetry along origin?About the Origin: Symmetry. If a point appears on a graph at every time, then the graph is symmetric having respect to the origin. When seen in relation to the origin, this graph is symmetric.A function having a single term which is the sum of a real number, the coefficient, as well as a variable raised to something like a fixed real number is called a power function. (A coefficient is a number which multiplies a variable by an exponent.) Think of equations like area or volume as an illustration.For the stated question.
The volume of the sphere is modeled by the power function with respect to the radius as;
V = f(r) = 4/3πr³
As, r is independent of any of the coordinate axis.
Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.
To know more about the symmetry along origin, here
https://brainly.com/question/1413522
#SPJ1
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
Answers
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
To learn more about domain and range click on,
https://brainly.com/question/15136070
#SPJ1
Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
Jina bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $400 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 8% per year. The total finance charges for one year were $275. How much did each computer cost before finance charges?
Answers
Answer:
2100
Step-by-step explanation:
The laptop costs $300 less than the desktop, so...
let x = cost of laptop
then x+300 = cost of desktop
The total finance charge of $252 is from 7% of the cost of the laptop and 6% of the cost of the desktop:
252+=+.07%28x%29+%2B+.06%28x%2B300%29
252+=+.07x+%2B+.06x+%2B+18
234+=+.13x
1800+=+x
The cost of the laptop is x = $1800;
the cost of the desktop is x+300 = $2100
What is 1/5 divided by 4?
Answers
Answer:
0.8
Step-by-step explanation:
Answer:
I believe that answer is 0.05
Step-by-step explanation:
The net of a triangular prism is shown
below.
8.5 cm
10 cm
10 cm
10 cm
What is the total surface area of the prism?
A 470 cm?
C 390.5 cm?
B 385 cm
D 342.5 cm
Answers
Answer:
i think a.... sorry if im wrong
Step-by-step explanation:
how to find percentage
Answers
Answer:
The easiest way to find percentage is to multiply the number by 100. Like if you were required to find the percentage of 0.87 you multiply it by 100 and get 87 there for 0.87 is equal to 87%.
Step-by-step explanation:
Hope it helps! =D
Step 1: divide 5 by 100 like this 5/100 or you can write it like this 0.05
Step 2: multiply that by the number you’re trying to find the percentage of (20)
So you have 5/100 times 20/1
Or 0.05x20. This is 1.
So 5% of 20 is 1
Please help guys this is hard for my 3rd grader Brain
Answers
Answer:
Add/multiply the exponents first.
Step-by-step explanation:
1. When solving the equation: 8n -2 = 1 +n + 5 + 6, Response area could NOT be the first step that would yield a solution
Answers
Answer:
n = 2
Step-by-step explanation:
Applying Cardano's formulas, calculate the zeros of the cubics:
\( {x}^{3} \: + \: 21x \: + \: 342\) ;
\( {y}^{3} \: + \: 6y \: + \: 2\) ;
\( {y}^{3} \: + \: 3y \: + \: 2\)
Thanks in advance! ^^
Gracias de antemano! ^^
Answers
The zeros of the cubic equation x³ + 21x + 342 are approximately 0.5957, -11.5378, and 11.9421.
The zeros of the cubic equation y³ + 6y + 2 are approximately -0.7937, 1.1968, and -0.4031.
The zeros of the cubic equation y³ + 3y + 2 are approximately -0.7937, 1.1968, and -0.4031.
We have,
1.
x³ + 21x + 342:
p = 0
q = 342
Δ = -(4(0)³ + 27(342)²) = -370728
u = ∛((-342/2) + √(-370728/108)) = ∛((-171) + √(-3421)) ≈ 6.6286
v = ∛((-342/2) - √(-370728/108)) = ∛((-171) - sqrt(-3421)) ≈ -6.0329
x₁ = 6.6286 + (-6.0329) ≈ 0.5957
x₂ = -(6.6286 + (-6.0329))/2 + (6.6286 - (-6.0329)) x √(3)/2 ≈ -11.5378
x₃ = -(6.6286 + (-6.0329))/2 - (6.6286 - (-6.0329)) x √(3)/2 ≈ 11.9421
2.
y³ + 6y + 2:
p = 0
q = 2
Δ = -(4(0)³ + 27(2)²) = -216
u = ∛((-2/2) + √(-216/108)) = ∛((-1) + √(-2)) ≈ 0.7937
v = ∛((-2/2) - √(-216/108)) = ∛((-1) - √(-2)) ≈ -1.5874
y₁ = 0.7937 + (-1.5874) ≈ -0.7937
y₂ = -(0.7937 + (-1.5874))/2 + (0.7937 - (-1.5874)) x √(3)/2 ≈ 1.1968
y₃ = -(0.7937 + (-1.5874))/2 - (0.7937 - (-1.5874)) x √(3)/2 ≈ -0.4031
3.
y³ + 3y + 2:
p = 0
q = 2
Δ = -(4(0)³ + 27(2)²) = -216
u = ∛((-2/2) + √(-216/108)) = ∛((-1) + √(-2)) ≈ 0.7937
v = ∛((-2/2) - √(-216/108)) = ∛((-1) - √(-2)) ≈ -1.5874
y₁ = 0.7937 + (-1.5874) ≈ -0.7937
y₂ = -(0.7937 + (-1.5874))/2 + (0.7937 - (-1.5874)) x √(3)/2 ≈ 1.1968
y₃ = -(0.7937 + (-1.5874))/2 - (0.7937 - (-1.5874)) x √(3)/2 ≈ -0.4031
Therefore,
The zeros of the cubic equation x³ + 21x + 342 are approximately 0.5957, -11.5378, and 11.9421.
The zeros of the cubic equation y³ + 6y + 2 are approximately -0.7937, 1.1968, and -0.4031.
The zeros of the cubic equation y³ + 3y + 2 are approximately -0.7937, 1.1968, and -0.4031.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
After 5 matches the mean number of goals scored by a football team per match is 1.8. If they score 3 goals in their 6th match, what is the mean after the 6th match? goals
Answers
Answer:
2
Step-by-step explanation:
mean 5 matches is 1.8
so to get total of goals
5×1.8=9
goals at 6th match is 3
so 9 +3=12
mean 12÷6=2
If football team scores 3 goal in their 6th match, the mean after the 6th match is 2 goal per match.
What is mean?Mean is an average of values of a set. Arithmetic mean, geometric mean and harmonic mean are the type of mean.
Given that,
The mean of number of goals scored by a football team = 1.8 goal per mach.
Match played by team = 5
Total goal scored by team in 5 matches = 5 x 1.8 = 9 goals
Since, Team score 3 goals in their 6th match,
Total number of goal in all 6 matches = 9 + 3 = 12
The mean after 6th match = total goal / number of matches
= 12 / 6
= 2
The mean after 6 matches is 2 goal per mach.
To learn more about Mean on:
https://brainly.com/question/27824219
#SPJ3
Two number cubes are rolled for two separate events:
Event A is the event that the sum of numbers on both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Complete the conditional probability formula for event B given that event A occurs first by writing A and B in the blanks:
P ( _a0 | _a1) = P ( _a2 ∩ _ a3)
___________
P ( _a4)
Answers
Answer: \(\bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}\)
Step-by-step explanation:
The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)
\(P(B|A)=\dfrac{P(B\cap A)}{P(A)}\)
P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)
(2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)
(3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)
(4, 5), (4, 4), (4, 3), (4, 2), (4, 1)
(5, 4), (5, 3), (5, 2), (5, 1)
(6, 3), (6, 2), (6, 1)
= 30
P(B) = (1, 2), (2, 1) sum = 3
(1, 5), (2, 4), (3, 3), (4, 2), (5, 1) sum = 6
(3, 6), (4, 5), (5, 4), (5, 4), (6, 3) sum = 9
(6, 6) sum = 12
= 12
P(A ∩ B) = (1, 2), (2, 1)
(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)
(3, 6), (4, 5), (5, 4), (5, 4), (6, 3)
= 11
7(x+4)-6(x+3)=x+5
What is x?
Answers
Answer:
Equation has no solutions.
Step-by-step explanation:
7x + 28 - 6x - 18 = x + 5
7x + 10 - 6x = x + 5
x + 10 = x + 5
x + 10 - 10 = x + 5 - 10
x = x - 5
x - x = x - x - 5
0 ≠ - 5
Please answer all parts as I know the answers but need the work to go with them. Thus, I believe that some answers are correct. Thank you!
Answers
The number of the sample that is necessary is 171. The number of employees that would be selected if E is 30 = 476
How to solve for the number of the sampleThe standard deviation = 398
error E = 50
Alpha is = 1-0.90 = 0.10
a. We are to find the value of the size of the sample
Z∝/2 = Z0.05
= 1.645
sample size,n >= [Za/2 *(sigma/E)]^2
n >= [1.645 * (398/50)] ^2
n >= 171.46
n = 171
b.
error,E = 30
n >= [1.645 * (398/30)] ^2
n >= 476.27
n = 476
Complete questionA survey is planned to determine the mean annual family medical expenses of employees of a large company. The management of the company wishes to be 90% confident that the sample mean is correct to within ±$50 of the population mean annual family medical expenses. A previous study indicates that the standard deviation is approximately $398. a. How large a sample is necessary?
b. If management wants to be correct to within ±$30, how many employees need to be selected?
Read more on standard deviation here:
https://brainly.com/question/12402189
#SPJ1
after taking part in the competition, leah received the gold medal with a diameter of 4 inches what is the medals circumference?
Answers
Let's begin by listing out the information given to us:
Diameter = 4 inches
Circumference of circle = πD= π * 4
π = 3.14
Circumference of circle = 3.14 * 4 = 12.56 in
Please answer me as soon as possible
Answers
Answer:????
Step-by-step explanation:
what is 21+23.3+323.45
Answers
Answer:
367.75
Step-by-step explanation:
21+23.3+323.45
Add the three terms.
= 367.75
The sum of theses numbers is 367.75.
Answer:
\(= 367.75 \\ \)
Step-by-step explanation:
\( \: \: \: \: \: \: \: \: \: 21 \\ + \: \: \: \: 23.3 \\ = \: \: 44.3 \\ + 323.45 \\ = 367.75\)
Function
Which ordered pair is on the inverse of f(x)?
© (-4,-2)
o (-2,-2)
o (-1,-2)
*
f(x)
|
-2
DONE
-1
NolNb
1
Answers
Answer:(-1,-2)
Step-by-step explanation:
I want to prove that sin2x/1+cos2x = tan x.
Answers
what is aquifelent to 3 mi
Answers
What measurement do you need? For ft it's 15840
Answer:
I do not know
Step-by-step explanation:
I do not know
Frank ran 5 miles on Monday. The next day, he ran 3/8 of that distance. How much did he run the next day
Answers
Answer: 1 and 7/8 of a mile
Step-by-step explanation:
3/8 of 5 is 1.875, and 0.875 as a fraction is 7/8.
Use Pascal's Triangle to expand (x^2-3y)^4
Answer
Answers
The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
What is Pascal's triangle?Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.
To expand the given expression (x²-3y)⁴ as per Pascal's triangle:
First, write down the fourth row of Pascal's Triangle as:
1 4 6 4 1
The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,
1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴
Simplify each term,
x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸
Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
Learn more about Pascal's triangle here:
https://brainly.in/question/31891178
#SPJ1
How would I solve this?
Answers
If you help me with my last question I will help you with this one