Answer:
Interest =(Principle ×Rate×Time)/100
=(2000×3×2)/100
=$120
Total money in the account=$120+$2000
=$2120
Step-by-step explanation:
Find the coordinates of the midpoint ofL(2, -4), M(4, 6)
Answer:
[tex]\displaystyle (3,1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point L(2, -4)
Point M(4, 6)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [MF]: [tex]\displaystyle (\frac{2+4}{2},\frac{-4+6}{2})[/tex][Fraction] Add: [tex]\displaystyle (\frac{6}{2},\frac{2}{2})[/tex][Fraction] Divide: [tex]\displaystyle (3,1)[/tex]Enter an expression equivalent to (a^9/a^3) in the form a^m
Answer:
Step-by-step explanation:
[tex]\frac{a^{9} }{a^{3} } =>[\frac{a^{3} }{a} ]^{3}[/tex]
Details: Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21600 Find the number of trucks that can be shipped if there are no cars.
Given:
The equation is
[tex]3.6y+7.5x=21600[/tex]
where, y is the number of cars and x is the number of trucks shipped.
To find:
The number of trucks that can be shipped if there are no cars.
Solution:
We have,
[tex]3.6y+7.5x=21600[/tex]
If there are no cars in the cargo ship, then y = 0 because y is the number of cars.
Putting y=0 in the given equation, we get
[tex]3.6(0)+7.5x=21600[/tex]
[tex]0+7.5x=21600[/tex]
[tex]7.5x=21600[/tex]
Divide both sides by 7.5.
[tex]x=\dfrac{21600}{7.5}[/tex]
[tex]x=2880[/tex]
x is the number of trucks shipped.
Therefore, the number of trucks that can be shipped if there are no cars is 2880.
Create a story for the following function: y=15,000 - 250x please help!!
Answer:
just search and then thats it
You flip a coin 100 times in the air and find that it lands on heads 65 times. Determine the theoretical and experimental probability of landing on heads. In your final answer, include all of your calculations.
Answer:
The experimental probability --> [tex]\frac{13}{20}[/tex]
The theoretical probability --> [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Key skills needed: Experimental vs theoretical probability, Fractions
1) The first thing you need to understand is experimental probability vs theoretical probability. (Do not include this in your work!!)
- Theoretical probability is based on simple reasoning
- Experimental probability is based on the results a person gets (so the experiment you did by flipping the coin)
2) Now with this, let's start solving:
Experimental probability ---> [tex]\frac{heads}{total}[/tex] --> You flipped the coin a total of 100 times, so the denominator would be 100. 65 of those would be heads so 65 is our numerator. So our experimental probability is --> [tex]\frac{65}{100}[/tex] --> Both have the factor of 5, so take the factor of 5 out of the numerator and denominator and you will get --> [tex]\frac{13}{20}[/tex] Now onto theoretical probability --> [tex]\frac{heads}{total}[/tex] --> There are 2 faces of a coin, 1 side is heads, and 1 side is tails --> The total number of faces is 2, so 2 is our denominator. There is only 1 side that is heads, so 1 is the numerator. This means --> Our theoretical probability is [tex]\frac{1}{2}[/tex]Hope you understood and have a nice day!! :D
Answer:
Experimental Probability: 65/100 We tested the probability 100 times, 65 of those times being heads. So %65 is our experimental probability (in percentage form) of flipping a coin and landing on heads. Simplified, 13/20 is our fraction.
Theoretical Probability: 50/100 or 1/2. There are two sides to a coin, and one is heads, so the theoretical probability is 1/2. In percentage form, the probability would be %50, or 50/100.
A new car is purchased for $32,500. The car depreciates every year ata
rate of 14%. Write an exponential function that represents that situation
Answer:
[tex]y=32500(0.86)^{x}[/tex]
Step-by-step explanation:
General exponentially depreciating function is given as
[tex]y= a(1-b)^{x}[/tex]------------(1)
Where a is initial value, b is percent depreciation/unit time and x is time
Here
[tex]a=32,500 \ \ \ b=0.14 \ \ \ and \ \ x \ is \ time \ in \ years[/tex]
Substituting above values in equation (1)
[tex]y=32500(0.86)^{x}[/tex]
At x=0
[tex]y=32500(0.86)^{0}\\y=32500[/tex]
At x=1
[tex]y=32500(0.86)^{1} \\y=27950[/tex]
Joe is saving for a new online video game. He has some money already in his savings, and he can add $2.50 each week. This relationship is shown in the graph. Write an equation and explain what the slope and the y-intercept mean in this situation?
Answer:
Y=2.50×+b
Step-by-step explanation:
y-intercept and put that into b and theres ur equation the y- intercept (B) represents the initial money that joe had in his savings the 2.50× part or the slope is the money that he states he can add each week.
♡Have a nice day♡
Paisley set up the following equation to solve a math problem: 33 + 57 + x = 180. What could the x represent?
I will only give points if you give me a long answer (not THAT long.). Now, what is 100 x 300. Make sure to give a long answer but not that long. So enjoy your day.
Answer:
100×300=3000
Step-by-step explanation:
hope the picture attached helps
Write an
inequality to compare – 24 and -14.
Answer: The position of -24 is to the left of -14.
The position of -14 is to the right of -24.
Step-by-step explanation:
We can conclude that -18 < -2.
We can conclude that -14> -24.
Solve for r: P= 2 r + 2x
Answer:
The correct answer is,
[tex]r = \frac{p}{2} - x[/tex]
what is the slope of the line that contains points (3,-9) and (-2,16) please help !!
Slope = Change in Y / change in x
Slope = (16 - -9) / (-2 - 3)
Slope = 25/-5
Slope = -5
Renee calculated 3/6 plus 2/4 and said the answer equaled 5/10. Amanda solved the same problem and said the answer equaled one whole. Whose answer is more reasonable?
Answer:
Amanda's
Step-by-step explanation:
Given :
3/6 + 2/4
The L. C. M of 6 and 4 = 12
(6 + 6) / 12
12 / 12
= 1
Renne's result = 5/10
Amanda's result = 1 whole
Hence, Amanda's result makes more sense.
The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?
Answer:
Around 364
Step-by-step explanation:
So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)
Then you multiply this by 57: 57x6.4 = 364.8
Find the value of A in each cases:
- cosA=√3/2
Answer:
A = [tex]\frac{5\pi }{6}[/tex]
Step-by-step explanation:
Given that Cos A = [tex]-\frac{\sqrt{3} }{2}[/tex]
cos A = [tex]cos (\pi -\frac{\pi }{6} )[/tex]
A = [tex]\pi - \frac{\pi }{6}[/tex]
A = [tex]\frac{5\pi }{6}[/tex]
13. Blake Brown demonstrates cookware at the National Food Fair. He is paid $7.00 each for the first 10 demonstrations in one day and $8.50 for each
demonstration over 10. What is his commission if Blake makes 12 demonstrations in one day?
simplify the following
[tex]\sqrt{98][/tex]
[tex]\sqrt{16 b^{5} }[/tex]
[tex]3\sqrt{5m} x 4\sqrt{\frac{1}{5} m3}[/tex]
[tex]\sqrt{26x2}[/tex]
Step-by-step explanation:
Simplify:
[tex]\sqrt{98} = \sqrt{49*2} = \sqrt{7^2*2} = 7\sqrt{2}[/tex][tex]\sqrt{16b^5} = \sqrt{4^2(b^2)^2b} = 4b^2\sqrt{b}[/tex][tex]3\sqrt{5mx^4} \sqrt{1/5m^3} = 3\sqrt{5*1/5*m^4x^4} = 3\sqrt{(m^2)^2(x^2)^2} = 3m^2x^2[/tex][tex]\sqrt{26x^2} = x\sqrt{26}[/tex]Answer:
[tex]→ \sqrt{98} = \sqrt{7 \times 7 \times2} = 7 \sqrt{2}✓ [/tex]
[tex]→ \sqrt{ 16{b}^{5} }= \sqrt{4 \times 4 \times {b}^{5} } = 4 {b}^{ \frac{5}{2} } ✓[/tex]
[tex]→3 \sqrt{5 mx^{4} } \sqrt{ \frac{1}{5} {m}^{3}} = 3 \sqrt{5 \times \frac{1}{5} {m}^{4} {x}^{4} } = 3 {m}^{2} {x}^{2} ✓[/tex]
[tex] →\sqrt{26 {x}^{2} } = \sqrt{26} x✓[/tex]
Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent
Answer:
[tex]no[/tex]
Step-by-step explanation:
Lets solve the first half.
[tex]-4 ( x - 6) = -4x + 24[/tex]
Second one:
[tex]-4 times x - 4 times 6 = -4x -24[/tex]
Now compare.....Not the same right??
So your answer is: [tex]no[/tex]
Hope this helps :)
1) Solve: – 4x – 11 = 7
Pls help
Answer:
x = -9/2
Step-by-step explanation:
-4x - 11 = 7
-4x = 7 + 11
-4x = 18
x = -18/4
x = -9/2
what is 11.35 divided by 0.35?
Answer:
32.43 (rounded)
Step-by-step explanation:
Answer:
32.4285714
Step-by-step explanation:
11.35/0.35=32.4285714
This is the answer however if your question has asked to round it to two decimal places the answer would be 32.43
i hope this helps
Solve for x.
78
5x-1
15x-3
Answer:
x=8
Step-by-step explanation:
Angle S and R are remote interior angles which means that they would add up to equal angle RQK.
78+5x-1=15x-3
Combine like terms
77+5x=15x-3
Add 3 on both sides
80+5x=15x
Subtract 5x on both sides
80=10x
Divide 10 on both sides
x=8
Calculate the slope represented by the table.
Answer:
y=2x-3
Step-by-step explanation:
I hope that helped
Use the given similar triangles to find the value of x
I need the answer fast please!!
Answer:
I believe the answer is x=7
Step-by-step explanation:
3x and 4x-1 are corresponding sides and so are 14 and 18.
You cross multiply with the smaller triangle lengths at the top.
3x/(4x-1)= 14/18
Cross multiply to get
18(3x)= 14(4x-1)
54x=56x-14
Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)
you get 14=2x and divide 14 by 2 to get x=7
(-11/6) + m = -2/9
help me pls
Answer:
M= 29/18
Step-by-step explanation:
SOMEONE HELP BECAUSE I DONT GET THIS
Answer:
x = 18
m<A = 166°
Step-by-step explanation:
The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.
7x + 40 = 3x + 112
4x = 72
x = 18
m<A = 7x + 40 = 7(18) + 40 = 126 + 40 = 166
7x+40 = 3x+112
x=18
7(18)+40
<A = 166
The point (1, -5) is reflected across the y-axis. What are it's new coordinates?
Answer:
I'm in 6th grade and we talked about this so I can help!
Step-by-step explanation:
The answer is (-1,-5) which is in quadrant 3
Answer:
It would be (-1, -5) because it is reflected across the y axis which means the y axis stays the same, but the x axis changes
Step-by-step explanation:
A roll of tape has a total length of 150 inches. What is the length of the roll of tape , in yards ?
Answer:
4.16667
Explain:
i looked it up
Answer:
4 and 1/6 yards
Step-by-step explanation:
There are 36 inches in each yard since there are 3 feet in a yard and 12 inches in a foot. if you divide 150 inches by 36 inches you get 4 yards with a remainder of 6 inches which is 1/6th of a yard
what year was the best 2020 or 2019 lol I think we all know the answer
Answer:
2019 obviously!!!!!!!!!!
Todos los días por la mañana Alfonso maneja a una velocidad de 80 km/hr para llegar a su trabajo a tiempo realizando un tiempo de 42min de regreso por la tarde disminuye su velocidad a 65km/hr ¿cuanto tiempo tarda para llegar a casa
Usando proporciones, tiene-se que tardará 52 minutos para llegar a casa.
-----------------------------
Esta pregunta se resuelve por proporciones, usando una regla de tres. Considerando que la velocidad y el tiempo son inversamente proporcionales, a medida que uno aumenta y el otro disminuye, se aplica una regla inversa de tres, en la que la multiplicación está en la línea en lugar de cruzada.-----------------------------
80km/hr tiene un tiempo de 42 min. Qual el tiempo a una velocidad de 65 km/hr?80 km/hr - 42 min
65 km/hr - x min
Multiplicando las líneas:
[tex]65x = 80 \times 42[/tex]
[tex]x = \frac{80 \times 42}{65}[/tex]
[tex]x = 52[/tex]
Tardará 52 minutos para llegar a casa.
Un problema similar es dado en https://brainly.com/question/17390740
X + 3 =8
X- 5 =7
Please someone help?
Step-by-step explanation:
x+3=8
8-5=3 so x=5
7+5=12 / 12-7=5
12-5=7
Answer:
the answer is (1) x = 5 (2) x = 12