Given:
A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport.
The total charge is AED 135.
To find:
How far, in kilometers, is the trip to the airport?
Solution:
Let x km be the trip to the airport.
A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport. So, total changes for x km trip is
[tex]T=10+250x[/tex]
The total charge is AED 135.
[tex]10+250x=135[/tex]
[tex]250x=135-10[/tex]
[tex]250x=125[/tex]
Divide both sides by 250.
[tex]x=\dfrac{125}{250}[/tex]
[tex]x=\dfrac{1}{2}[/tex]
[tex]x=0.5[/tex]
Therefore, the trip to the airport is 0.5 km.
What is the volume of rectangular
L 6 1/2
W 2
H 3 1/4
Answer:
42.25
Step-by-step explanation:
You multiply 6.5 by 2 by 3.25 to get the answer
Answer:
42.5 units^3
Step-by-step explanation:
VOLUME EQUATION: l x w x h
6.5 x 2 x 3.25
42.5
DON'T FORGET YOUR UNITS CUBES
It intersects its midline at (-3.5,-0.8) and it has a maximum point at (4.1,0.7) what is the units
Answer:
7.7466
Step-by-step explanation:
Hope it helps:)
If the slope of a proportional relationship is 3 what is the equation that represents that line
Answer:
y = 3x
Step-by-step explanation:
A proportional function has the equation
y = kx, where k is the constant of proportionality and also the slope of the line.
Answer: y = 3x
The equation that represents the line whose slope of proportional relationship is 3 is; y = 3x.
The slope of the proportional relationship as given is 3.
In essence, slope, m = 3.However, the equation of the line which represents a proportional relationship usually takes the form; y = Mx.
Since, slope, m = 3.
The equation of the line is; y = 3x.
Read more on equation of a line:
https://brainly.com/question/15618632
have some more work on hand
HELP ASAP PLEASE I NEED TO TURN THIS IS IN 3 HOURS
Answer:
The answer is 170 feet
This is how to solve the question
When you are below sea level it means that you are at a negative (in math terms)
So you are 50 feet below sea level and you want to get to a place that is 120 feet high
So you take 50 into account because your starting below sea level then you add 120 for the distance to get up the mountain
120+50= 170
Hope that helps!
the line for the equation y = 1 horizontal or vertical? What is the slope of this line?
Answer:
The line is horizontal and the slope is 0.
Step-by-step explanation:
Any line that is horizontal has a slope of 0.
Consider the following two cash flow series of payments: Series A is a geometric series increasing at a rate of 9.5% per year. The initial cash payment at the end of year 1 is $1,000. The payments occur annually for 5 years. Series B is a uniform series with payments of value X occurring annually at the end of years 1 through 5. You must make the payments in either Series A or Series B.
a. Determine the value of X for which these two series are equivalent if your TVOM is i = 9%. $
b. If your TVOM is 8%, would you be indifferent between these two series of payments? Enter the PW for each series to support this choice.
c. If your TVOM is 5%, would you be indifferent between these two series of payments? Enter the PW for each series to support this choice.
Answer:
Step-by-step explanation:
From the given information;
The present value of series A:[tex]=\Big[1000 \times \dfrac{(1.095)^0}{(1.09)^1}\Big]+\Big[1000 \times \dfrac{(1.095)^1}{(1.09)^2}\Big]+...+\Big[1000 \times \dfrac{(1.095)^4}{(1.09)^5}\Big][/tex]
[tex]= 1000 \Big [ \dfrac{1}{1.09}+ \dfrac{1.095}{1.1881}+ \dfrac{1.199}{1.295}+\dfrac{1.313}{1.912}+\dfrac{1.438}{1.539}\Big][/tex]
[tex]= 1000 \Big[ 0.917 + 0.922 + 0.926 + 0.930 + 0.934\Big][/tex]
[tex]= 1000 \times 4.629[/tex]
[tex]= \$4629[/tex]
Thus, the present value of series A is = $4629
Present value of series A = Present value of series B
[tex]The \ value \ of\ X = \dfrac{Present \ value \ of \ series \ B }{\Big [\dfrac{1-(1+r)^{-n}}{r} \Big ]}[/tex]
[tex]The \ value \ of\ X = \dfrac{4629 }{\Big [\dfrac{1-(1+0.09)^{-5}}{0.09} \Big ]}[/tex]
[tex]The \ value \ of\ X =\dfrac{4629 \times 0.09}{1-0.6499}[/tex]
[tex]The \ value \ of\ X =\dfrac{416.61}{0.3501}[/tex]
[tex]The \ value \ of\ X =1189.97[/tex]
Thus, the value of X = $1189.97
2.
The present value of series A:
[tex]=1000 \times \Big[\dfrac{(1.095)^0}{(1.08)^1}+ \dfrac{(1.095)^1}{(1.08)^2}+...+\dfrac{(1.095)^4}{(1.08)^5}\Big][/tex]
[tex]=1000 \Big [ \dfrac{1}{1.08}+ \dfrac{1.095}{1.1664}+\dfrac{1.199}{1.2597}+\dfrac{1.313}{1.3605}+\dfrac{1.438}{1.4693}\Big ][/tex]
[tex]= 1000\Big [ 0.9259 + 0.9839+0.952 + 0.965+0.979\Big ][/tex]
[tex]= 1000 \times 4.76059[/tex]
[tex]\simeq \$4761[/tex]
Thus, the present value of series A is = $4761
Present value of series B =[tex]Value \ of \ X \times \Big [ \dfrac{1 - (1+r)^{-n} }{r}\Big ][/tex]
[tex]= 1189.97 \times \Big [ \dfrac{1 - (1+0.08)^{-5} }{0.08}\Big ][/tex]
[tex]= \dfrac{1189.97}{0.08} \times \Big ( 1 -0.6806\Big )[/tex]
[tex]= 14874.625 \times 0.3194[/tex]
[tex]= \$4750[/tex]
Thus, the present value of series B = $4750
3.
The present value of series A:
[tex]=1000 \times \Big[\dfrac{(1.095)^0}{(1.05)^1}+ \dfrac{(1.095)^1}{(1.05)^2}+...+\dfrac{(1.095)^4}{(1.05)^5}\Big][/tex]
[tex]=1000 \Big [ \dfrac{1}{1.05}+ \dfrac{1.095}{1.1025}+\dfrac{1.199}{1.1576}+\dfrac{1.313}{1.2155}+\dfrac{1.438}{1.276}\Big ][/tex]
[tex]= 1000\Big [ 0.9524 + 0.9932+1.0357 + 1.08+1.127\Big ][/tex]
[tex]= 1000 \times 5.1883[/tex]
[tex]\simeq \$5,188[/tex]
Thus, the present value of series A = $5188
Present value of series B: =[tex]Value \ of \ X \times \Big [ \dfrac{1 - (1+r)^{-n} }{r}\Big ][/tex]
[tex]= 1189.97 \times \Big [ \dfrac{1 - (1+0.05)^{-5} }{0.05}\Big ][/tex]
[tex]= \dfrac{1189.97}{0.05} \times( 0.2165)[/tex]
[tex]= \$5152.57[/tex]
Thus, the present value of series B = $5153
A rectangular prism has a
surface area of 287.4 cm'. The width is 9 cm, and
height 1.5 cm. Determine the length,
Answer:
12.4 cm
Step-by-step explanation:
Answer:
21.2888888889. it is wrong
Step-by-step explanation:
You have a gross annual income of $175,000 and have been pre-approved for a 30-year mortgage loan at 3.375% as long as the back-end ratio does not exceed 36%. The house you want to buy costs $560,000, and you plan to make a down payment of 20%. Your monthly payment would be $1980.59. Your research shows that the semi-annual property taxes for this house are $3,450. You have been given a quote from your insurance company of a $1,290 annual premium. You currently have a $579 monthly car payment and your monthly credit card bills average $2,000
Answer:
Step-by-step explanation:
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
Find four consecutive Integers such that the product of the first and the fourth is 22
less than the product of - 10 and the third integer.
CAN SOMEONE HELP SO I DONT FAILLLLL
Answer:
2[tex]\sqrt{22}[/tex]
Step-by-step explanation:
Use pythagorus's theorem:
a²=b²+c²
13²=9²+x²
169=81+x²
x²=88
x=[tex]\sqrt{88}[/tex]
x=[tex]\sqrt{22*4}[/tex]
x=[tex]\sqrt{22} \sqrt{4}[/tex]
x=2[tex]\sqrt{22}[/tex]
Answer:
What the girl said
Step-by-step explanation:
PLLLLLLLSSSS HELP MMEEEEEE 30 pointsssss
The sum of three and four tenths and a number is six and six tenths.
6.6 is in one box. Below it are 2 boxes. N is in one. 3.4 is in the other.
Explain how to use the bar diagram to solve the problem.
Answer:
So you take 3.4 and subtract from 6.6 which equals 3.2. Then if you add 3.4+3.2= 6.6. Hope this helps.
Step-by-step explanation:
Sorry I am late hope this helps
Sample Response:
Sum means the result of adding two numbers. The bar diagram represents that an unknown number and 3.4 together make 6.6. So 3.4 + what number equals 6.6? The result is 3.4 + 3.2 = 6.6. The sum of 3.4 and 3.2 is 6.6.
4(x – 3)
need help answering this question
Answer:
4x-12
Step-by-step explanation:
4 x x is 4x and 4x-3 is -12
Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have? PLS ANSWER
Answer:22
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x be chickens and y be cows
x+y=15
x=15-y
2x+4y=44, using x=15-y
2(15-y)+4y=44
30-2y+4y=44
2y+30=44
2y=14
y=7, since x=15-y
x=8
So there are 8 chickens and 7 cows.
Which of following is the graph of y = -(x + 1)- -3?
Answer:
Here is you graph
Step-by-step explanation:
:)
When the swimmers first arrived at the pool, the temperature of the water was only 72.5 degrees. By the time the first race started, the temperature had gone up 5.6 degrees. What was the temperature of the water when the first race started?
Answer:
The temperature of the water when the first race started was 78.1 degrees
Step-by-step explanation:
Addition
The temperature of the water of a pool was 72.5 degrees when the swimmers first arrived.
By the time when the first race started, the temperature had increased by 5.6 degrees.
To find the temperature at that very moment we have to add 72.5 degrees + 5.6 degrees = 78.1 degrees
The temperature of the water when the first race started was 78.1 degrees
If you know the answers please let me know
Answer:
I believe its A C D
Step-by-step explanation:
Find the area of the figure.
7 cm
4 cm
4 cm
1
10 cm
10 cm
8 cm
19 cm
area:
cm2
Answer:
which figure?........
72 greater than a is at least 7
68x2 – 60y - 9x2 + y2
Someone plssssssssssssssssssss helpppppppppppppppppp
Answer:
157.62
Step-by-step explanation:
6x=108 if x=8 is it true or false
Answer:
False.
Step-by-step explanation:
The real number that x equals to is 18.
Mansah obtained 50 marks out of 240 in an English test. What was her percentage score
Answer:
50/240*100=20.83%
Hope it helps
Answer:
20.8%
Step-by-step explanation:
50/240*100% =20.8%
How do you graph Y= 12x-15
Answer:
The graph is down below
Step-by-step explanation:
un proyectil es lanzado de la parte superior de una montaña de 50 m de altura con un angulo x. el proyectil alcanza el suelo desdes de 5 segundos de haber sido disparado. si el alcance horizontal fue de 70m. la rapidex con la que se lanzo el proyectil es:
Answer:
I can't understand
Step-by-step explanation:
pls translate to english
x² + 24x + 23
factorise
I need help please....
There are ten red cards in a sack and two blue cards in the same sack. How likely is it for you to draw a red card if you make one draw?
Answer:
83%
Step-by-step explanation:
I think this is the correct answer
The answer for the equation: 3x + 2 = 2x- 4
Answer:
x = -6
Step-by-step explanation:
1. 3x + 2 = 2x - 4
2. subtract 2x from 3x to get the variables together.
3. New equation is 1x + 2 = -4
4. Subtract 2 from -4 to get the constants together
5. New equation is 1x = -6
6. Divide by 1 on both sides to get the variable alone
7. Your answer is -6
Hope that helps
#6: Tell whether the function below is 1 point
linear or exponential.
*
f(x) = -1/4x + 5
Answer:
Linear function
Step-by-step explanation:
Given
[tex]f(x) = -\frac{1}{4}x + 5[/tex]
Required
Linear or Exponential
A linear equation has the form: [tex]f(x) = mx + c[/tex];
An exponential has the form: [tex]f(x) = ab^x[/tex]
By comparing both functions to: [tex]f(x) = -\frac{1}{4}x + 5[/tex]
The linear function is similar to [tex]f(x) = -\frac{1}{4}x + 5[/tex]
Hence, the given function is a linear function.