Answer: $7,864.32
Step-by-step explanation:
First you would do 100% -20% which would give you 80% (0.8)
1st year : $24,000 x 0.8 = 19,200
Then take your answer and times it by 0.8 again until you get to the 5th year
2nd year : $19,200 x 0.8 = $15,360
3rd year : $15,360 x 0.8 = $12,288
4th year : $12,288 x 0.8 = $9,830.40
5th year : $9,830.40 x 0.8 = $7,864.32
Therefore your final answer is $7,864.32
Final answer:
The resale value of the car after 5 years will be approximately $7,864.32.
Explanation:
To find the resale value of the car after 5 years, we need to calculate the depreciation rate each year and then apply it to the original purchase price. Since the resale value decreases by 20% each year, we can calculate the resale value after 5 years as follows:
After the first year, the resale value will be 80% of the original purchase price: $24,000 * 0.8 = $19,200.
After the second year, the resale value will be 80% of the previous year's resale value: $19,200 * 0.8 = $15,360.
After the third year, the resale value will be 80% of the previous year's resale value: $15,360 * 0.8 = $12,288.
After the fourth year, the resale value will be 80% of the previous year's resale value: $12,288 * 0.8 = $9,830.40.
After the fifth year, the resale value will be 80% of the previous year's resale value: $9,830.40 * 0.8 = $7,864.32.
Therefore, the resale value of the car after 5 years will be approximately $7,864.32.
For his coffee shop, Abdul wants to make a mocha-java blend that will sell for $18/kg. The mocha coffee beans sell for $20/kg, and the java coffee beans sell for $15/kg. How many kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend?
30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg
Solution:
Let "x" be the kilogram of mocha coffee beans
Let "y" be the kilogram of java coffee beans
Cost of 1 kg of mocha coffee bean = $ 20
Cost of 1 kg of java coffee bean = $ 15
Kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend
Cost of 1 kg of mocha java blend = $ 18
From given information,
Mocha coffee beans and java coffee beans are mixed to get 50 kg of blend
Therefore,
[tex]x + y = 50 ------------ eqn 1[/tex]
Abdul wants to make a mocha-java blend that will sell for $18/kg
Therefore, we frame a equation as:
(kilogram of mocha coffee beans) x (Cost of 1 kg of mocha coffee bean) + (kilogram of java coffee beans) x (Cost of 1 kg of java coffee bean) = Cost of 1 kg of mocha java blend x 50 kg
Thus we get,
[tex]x \times 20 + y \times 15 = 18 \times 50\\\\20x+15y = 900 ------------ eqn 2[/tex]
Let us solve eqn 1 and eqn 2
From eqn 1,
x = 50 - y -------- eqn 3
Substitute eqn 3 in eqn 2
20(50 - y) + 15y = 900
1000 - 20y + 15y = 900
5y = 100
y = 20Substitute y = 20 in eqn 3
x = 50 - 20
x = 30Thus 30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg
We need to set and solve a system of equations, with the variables representing the weights of mocha and java coffee in the blend. Solving the system yields the number of kilograms needed.
Explanation:To solve your problem, Abdul, we will use the concept of weighted averages. We'll need two equations. Let's denote the weight of the mocha coffee in the mix by x kg and the weight of java coffee by y kg. From the problem's requirements, we get these two equations:
x + y = 5020x + 15y = 18*50.Now, the goal is to solve this system of equations. You can do that by, for example, substituting x = 50 - y in the second equation and solving for y. Then, substitute y's value back into the first equation to get x.
The solution to this system will give you the weights of mocha and java coffee beans needed to make your desired blend.
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I need help on 1 and 2 20 points
Answer:
Question 1: A. 2
Question 2: C. [tex]x>90[/tex]
Step-by-step explanation:
Question 1:
Amount to be spend = $625
Cost to rent the ball room for 3 hrs = $350
Cost of each additional hour = $125
Ms Jensen wrote the Inequality as,
[tex]625>350+125h[/tex]
h⇒ Number of additional hours.
We need to find the value of 'h'.
Solution:
[tex]625>350+125h[/tex]
Now Subtracting both side by 350 using subtraction property of Inequality we get;
[tex]625-350>350+125h-350\\\\275>125h[/tex]
Dividing both side by 125 using Division property of Inequality we get;
[tex]\frac{275}{125}>\frac{125h}{125}\\\\2.2>h[/tex]
Hence The value of 'h =2' make the Inequality true.
Question 1:
Given:
[tex]20+2<\frac{x}{3}-8[/tex]
We need to find the solution for Inequality.
Solution:
First we will add the like terms we get;
[tex]22<\frac{x}{3}-8[/tex]
Now Adding both side by 8 using addition property of Inequality we get;
[tex]22+8<\frac{x}{3}-8+8\\\\30<\frac{x}{3}[/tex]
Now multiplying both side by 3 Using multiplication property of Inequality we get;
[tex]30\times3<\frac{x}{3}\times 3\\\\90<x[/tex]
Hence The solution to given Inequality is [tex]x>90[/tex].
There are 2,000 pounds in 1 ton .How many tons are there in 360,000 ?
Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103. Which number is the greatest, and by how many times is it greater than the smallest number?
A.
The greatest number is 5.5 × 105. It is 5 times greater than the smallest number.
B.
The greatest number is 6.5 × 103. It is 50 times greater than the smallest number.
C.
The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
D.
The greatest number is 6.5 × 103. It is 5,000 times greater than the smallest number.
E.
The greatest number is 5.5 × 105. It is 5,000 times greater than the smallest number.
Answer: C.
Step-by-step explanation: The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
This is the correct answer on the test!
The correct option is c. The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
Given information:Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103.
Calculation of the number:The greatest number should be 5.5 × 105 and this should be 500 times more as compared to the smallest number.
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please help please i have to get this done
Answer:
im not sure sure but by the looks of it i think thats 3,6
Step-by-step explanation:
Answer:
slope of the given straight line in graph is -2
Step-by-step explanation:
Explanation:-
in given graph we have to choose points are A(0,3) on y-axis and B(1.5 , 0) on x- axis
let m be the slope of a line
by using slope formula is
[tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
m = [tex]\frac{0-3}{1.5-0}[/tex]
m= -2
another points we have choose
in given graph we have to choose points are A(0,3) on y-axis and B(2.5 , -2)
slope of a line :-
let m be the slope of a line
by using slope formula is
[tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{-2-3}{2.5-0}[/tex]
m= -2
where ever you will take point the slope of given straight line is
m = -2
DOES IT MAKE SENSE?
Decide whether each of the following statements makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your reasoning.
9. I read a book that had 10 words in it.
(10. I've seen about 1050 commercials on TV.
11. I work in an office building that is 300 feet high.
12. In total, Americans spend about a billion dollars per year on
housing costs (rent and home mortgage payments).
13)A popular local restaurant serves 5 million dinners each year.
14)The CEO of the company earned more money last year than
the company's 500 lowest-paid employees combined.
This answer evaluates each statement for its potential truthfulness, noting that while each could arguably be correct, they might also be inaccurate in certain contexts.
Explanation:It's tricky to definitively state whether these statements are true or false without further context, as they contain details that could conceivably be true but may also potentially be inaccurate.
I read a book that had 10 words in it. This could be possible, especially for children's books or minimalist concept books. I've seen about 1050 commercials on TV. This might be true or not, considering that a person who watches television regularly could have seen this number of commercials. I work in an office building that is 300 feet high. This statement is plausible, given there are many buildings of this height. In total, Americans spend about a billion dollars per year on housing costs (rent and home mortgage payments). This is probably true since the American housing market is extensive. A popular local restaurant serves 5 million dinners each year. This is a high number, but it could be true for a very popular or large restaurant. The CEO of the company earned more money last year than the company's 500 lowest-paid employees combined. Sadly, this could be true given the substantial wage gaps that can exist in companies.
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x2 + 5x – 4 = 3x - 1
Answer:
x = -3 or x = 1Step-by-step explanation:
[tex]x^2+5x-4=3x-1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\x^2+5x-3x-4=3x-3x-1\\\\x^2+2x-4=-1\qquad\text{add 1 to both sides}\\\\x^2+2x-4+1=-1+1\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x+3)(x-1)=0\iff x+3=0\ \vee\ x-1=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x+3-3=0-3\\\boxed{x=-3}\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}[/tex]
A fish tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320 pi cubic feet. What is the radius, in feet, of the fish tank?
A. 16
B. 10
C. 8
D. 4
Answer:
4 feet
Step-by-step explanation:
From the question, we are given;
Height of the cylinder as 20 ft Volume of the cylinder as 320 piWe are required to find the radius of the cylinder fish tank;
We need to know that the volume of a cylinder is given by;Volume = pi × r² × h
Rearranging the formula;
r² = V ÷ pi × h
Therefore;
r² = 320 pi ÷ (pi × 20 ft)
= 16
Thus;
r = √16
= 4 ft
Therefore, the radius of the fish tank is 4 feet.
Which ordered pair is a solution of the equation?
y=4x-7
choose one answer:
A. Only (2,1)
B. Only (4,9)
C. Both (2,1) and (4,9)
D. Neither
Answer:
C both
Step-by-step explanation:
There is a graph
What is the expression of 5x-3(x-2)-x
Answer:
It simplifies to x+6.
Step-by-step explanation:
First, use the distributive property.
5x-3x+6-x
Now, combine like terms.
2x+6-x ---> x+6
Which of the following has opposite sides that are congruent and parallel? Select all that apply.
A
a trapezoid
B
a rectangle
C
a square
D
a rhombus
Answer:
B C D i believe
Step-by-step explanation:
Juan and Raj cut up a banana to put on cereal. Juan puts 17 of the banana on his bowl of cereal, and Raj puts 25 of the banana on his bowl of cereal.
What fraction of the banana did Juan and Raj put on their cereal altogether?
Answer:
17/25
Step-by-step explanation:
Which of these shapes os an obtuse isosceles triangle
Triangle in option A is an obtuse isosceles triangle.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.
The following is a list of the isosceles obtuse triangle's characteristics:
It has two acute angles and two equal sides on either side of them.The other two angles are sharp angles, each smaller than 45 degrees, and one of the angles is between 90° and 180°.The side opposing the obtuse angle is the largest side of an obtuse isosceles triangle.The largest side is the one that faces the obtuse angle. To put it another way, the largest side of an isosceles obtuse triangle is the unequal side.The total interior angles come to 180 degrees.One example of isosceles obtuse triangle angles is 30°, 30°, and 120°.
Therefore, triangle in option A is an obtuse isosceles triangle.
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i am faceing north west. if i turn 180 clockwise i will be facing what
Answer:
south
Step-by-step explanation:
it’s half way turn because 180 is half of one 360 and north is right across from south:)
Answer:
South
Step-by-step explanation:
You will be facing south because if you are facing north and you turn 90 clockwise you will face east. Turn 90 degrees again and you'll face south.
The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
144
277
156
25
Answer: 144
Step-by-step explanation:
Answer:
144
Step-by-step explanation:
12 divides into both
The point where the graphs of two equations intersect has y-coordinate 2. One equation is y = -3x + 5. Find the other equation if I s graph has a slope of 1.
Answer:
The equation of the line is y= x + 2
Step-by-step explanation:
The general representation of equation of line is y= ax + b
where a is the slope and b is the y intercept. Here slope of the line is 1 and why is point where two lines intersect hence, it is the intercept.
So, the equation of the other line is y= x + 2
Answer:
The equation of the line is y= x + 2
Step-by-step explanation:
The general representation of the equation of a line is y= ax + b
where a is the slope and b is the y-intercept. Here slope of the line is 1 and why is the point where two lines intersect hence, it is the intercept.
So, the equation of the other line is y= x + 2
TEN POINTS PLEASE HELPPPPP!!!!!!
The cloud that has the least effect on the weather is
a. simple
b. stratus
c. cirrus
d. cumulus
Answer:
cirrus clouds
Step-by-step explanation:
cirrus clouds are very thin so they can't hold much water so the answer is Cirrus
P.S: Please give me brainlest i just need 2 more plz plz plz
ANSWER
Cirrus clouds
Explanation:
Because the cirrus clouds are more thin then most, therefor it cant hold as much water as other clouds. becuase its thinner it cant hold lots of water. So it is the least effective weather cloud.
1700/85 in simplest form
Answer:20
Step-by-step explanation:
what is 0.0014 in standard form ?
Answer:
Using the formula, write in standard form.
=
−
0.0014
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
1.4
×
10
−
3
Step-by-step explanation:
The decimal number 0.0014 can be written in standard form (also known as scientific notation) as 1.4 x 10^-3. This is done by shifting the decimal place so that you have a number between 1 and 10, and then indicating how many places you moved the decimal in the exponent of ten.
Explanation:The student asked to convert the decimal 0.0014 into standard form. The standard form for representing decimal numbers involves using the scientific notation which means expressing numbers as a number between 1 and 10, multiplied by the power of ten. So, 0.0014 can be written as 1.4 x 10^-3 in standard form.
This can be done through the following steps:
Decide where the decimal point needs to be for the number to be between 1 and 10. In this case, 1.4.Count how many places you had to move the decimal to get this number. In this case, 3 places.If you moved the decimal to the right, it's a negative exponent. If to the left, a positive exponent. Here, we moved right, so it's a negative exponent.In the final step, write this number times ten, raised to the power of the number of places you moved the decimal. Thus, 1.4 x 10^-3.Learn more about Standard Form here:
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order the following integers from least to greatest 6, 11, 16, -8, -5
It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?
It takes 42 minutes for 6 people to paint 7 walls
Solution:
It takes 54 minutes for 4 people to paint 6 walls
To find: Minutes required for 6 people to paint 7 walls
If [tex]M_1[/tex] men can do [tex]W_1[/tex] work in [tex]D_1[/tex] days working [tex]H_1[/tex] hours per day and [tex]M_2[/tex] men can do [tex]W_2[/tex] work in [tex]D_2[/tex] days working [tex]H_2[/tex] hours per day, then
[tex]\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}[/tex]
M = Number of men
D = Number of days
H = Number of hours per day
W = Amount of work
Here in this sum,
54 minutes for 4 people to paint 6 walls
[tex]H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls[/tex]
Minutes required for 6 people to paint 7 walls
[tex]H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls[/tex]
Substituting the values in formula, we get
[tex]\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42[/tex]
Thus it takes 42 minutes for 6 people to paint 7 walls
Can someone explain I’m confused on how to do this my teacher can’t teach me this has no time
Answer:
A is 3 B is 4 n C is 25
Step-by-step explanation:
bra it ez r u a 6th grader
Answer:
1)
The factors of 9 are: 1, 3, 9
The factors of 15 are: 1, 3, 5, 15
Then the greatest common factor is 3.
2)
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 28 are: 1, 2, 4, 7, 14, 28
Then the greatest common factor is 4.
3)
The factors of 50 are: 1, 2, 5, 10, 25, 50
The factors of 75 are: 1, 3, 5, 15, 25, 75
Then the greatest common factor is 25.
PLEASE HELP ME!! 20 PTS TO ANSWER Write a linear equation that contains the ordered pair shown in the table below:
y = -2x + 1
y = 2x + 1
y = 2x - 1
y = -2x -1
Answer:
y=2x+1 is the correct answer
A=1/2bh. A=200ft. H=10. What is b
Answer:
B= [tex]\frac{2A}{H}[/tex]
Step-by-step explanation:
If you noticed, A= [tex]\frac{1}{2}[/tex]BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2. 2(A)=2([tex]\frac{1}{2}[/tex]BH). On the left, you have 2×A= On the right side, you have 2([tex]\frac{1}{2}[/tex]BH), but since you have a number in the equation, you will only use 2×[tex]\frac{1}{2}[/tex]. To solve 2×[tex]\frac{1}{2}[/tex], you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.
(Your new equation looks like this by the way). 2A=BH
Since you need to get B by its self, the way to clear the H away from the B is by dividing. You will now divide the B and H aswell as 2A and H. (It will look like this) [tex]\frac{2A}{H} = \frac{BxH}{H}[/tex] . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with [tex]\frac{2A}{H}[/tex] = B. Now you can turn it around for your final answer. B= [tex]\frac{2A}{H}[/tex].
Please let me know if i helped, how I did, and if you have any questions.
Need help with ixl please give right answer fill in the blanks please
Answer:
y=2x-8
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept value.
It says the slope is 2, so we know that y = 2x+b. To find b, plug in a point given. We are given (9,10), so plug that into the equation, where y = 10 and x = 9. 10=2(9)+b, solve for b.
b equals -8, so the answer is y=2x-8.
Answer:
y= 2x - 8
Step-by-step explanation:
lol lol wont let me submmitttt
jason bought 5 balloons . each balloon cost $.95 . how much did he pay altogether
Answer:
4.75
Step-by-step explanation:
5 times $.95. equals $4.75
To find the total cost of the balloons we can multiply.
0.95 * 5 = $4.75
Best of Luck!
on a test 45% of the questions are related to science . what fraction of the questions on the test are science related. This is a math question
Step-by-step explanation:
45 % = 0.45 =
[tex] \frac{9}{20} [/tex]
Answer: I believe its 9/20
What is the area of the rectangle, in square centimeters?
A rectangle with length 12 centimeters and width 5 centimeters.
17
34
30
60
Answer:
The answer is 60 this is because in order yo get area you have to times the length by width
Step-by-step explanation:
Apply the rules of exponents
Answer:
The answer is: [tex]$ \frac{\textbf{1}}{\textbf{216}} $[/tex]
Step-by-step explanation:
Rule of Exponents:
[tex]$ x^a . x^b \hspace{2mm} = \hspace{2mm} x^{a + b} $[/tex]
[tex]$ \frac{x^a}{x^b} = x^{a}.x^{-b} = x^{a - b} $[/tex]
Here, it is given:
[tex]$ \frac{6^2}{6^5} = 6^{2 - 5} $[/tex]
[tex]$ = 6^{-3} $[/tex]
[tex]$ = \frac{1}{6^3} $[/tex]
[tex]$ = \frac{\textbf{1}}{\textbf{216}} $[/tex]
Hence, the answer.
HELP BRAINLIEST! which of the following is a point of tangential on the circle below
Answer: D. Point B
Step-by-step explanation: the tangent line is the line outside the circle.