Answer: $8700.
Step-by-step explanation:
The equation we can use is p x r^years.
p is the original value ($12000).
r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.
IT is 2001 to 2004 so 3 years so we do r to the power of 3.
So we use 12000 x 0.9^3.
This is equal to 8748, to the nearest 100 dollars its $8700.
6:4 is equivalentto blank:24
the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer to two decimal places
Answer:
45.05 seconds
Step-by-step explanation:
Use the formula: d = v[tex]i[/tex] t + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]
d = distance v[tex]i[/tex] = initial velocity (m/s)
t = time (s) a = acceleration (m/[tex]s^{2}[/tex])
m is meters and s is seconds. They are units of measurement so leave them be.
Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.
The distance is 725 feet, which is 220.98 meters.
The acceleration is 9.81m/[tex]s^{2}[/tex] since that is the acceleration of Earth's gravity, aka free fall.
Time is what we are trying to find so just leave it as the variable t.
So plug the values into the equation:
220.98m = (0)(t) + [tex]\frac{1}{2}[/tex] (9.81m/[tex]s^{2}[/tex])(t)
220.98m = (4.905m/[tex]s^{2}[/tex])(t)
45.0519877676s = t
t = 45.05s
Remember to pay attention to units because your answer will be wrong otherwise
Three Numbers are in the ratio of 2:3:7. What is the largest number if the sum is 288
Answer:
2x + 3x + 7x = 288
12x = 288
x = 24
The largest number is therefore 7 * 24 = 168
Step-by-step explanation:
recursive rule for 1 4 9 16
Step-by-step explanation:
The rule is to add 5 to each number to make next number
1 4 9 16 21 26 31 36 41
A child has the magnet numbers 1 through 50 on their fridge. What is the probability that the child will choose a number that is not a multiple of 9?
Give your answer in fraction form.
Answer:
9/10
Step-by-step explanation: the magic mushroom said so
4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)
1.
Oliver owes his sister $27.
2.
A building is 38 feet tall.
3.
Erica jumped 2.7 feet above ground.
4.
The scuba diver was 38 feet below sea level.
5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7
The statements with their relation to 0 are:
Oliver owes his sister $27. [tex]\to[/tex] -27 A building is 38 feet tall. [tex]\to[/tex] 27 Erica jumped 2.7 feet above ground. [tex]\to[/tex] 2.7 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.
The above highlights imply that the following statements would be represented with positive sign:
A building is 38 feet tall.Erica jumped 2.7 feet above ground.This is so, because height and positions above the ground are above the sea level
Also, the following statements would be represented with negative sign:
Oliver owes his sister $27. [tex]\to[/tex] -27 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3This is so, because debt and positions below the ground are below the sea level
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Find the distance between (-10.-15) and (12, 18).
Answer:
11[tex]\sqrt3[/tex] or 39.66 units.
Step-by-step explanation:
Use the distance formula!
Answer:
The distance between two points with coordinates (-10,-15) and (12,18) is:
39.66 units (results are rounded to the nearest 100th)Step-by-step explanation:
Hoped this helped.
I apologize if this is incorrect.
What is the solution for x in the equation
-4+5x-7=Okay 0+3x-2x
Answer:
X = 2.75 or 2 3/4 in fraction form
Step-by-step explanation:
We know that the variable X has to make both equations equal.
It is really just crossing out the options.
2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.
So the answer is 2.75
Hope this helps! :)
૮ ・ﻌ・ა
What is the equation of the line?
Y= 1/2x + 2
Y= 2x + 2
Y= 2x - 4
Y = 1/2x - 4
Answer:
y=1/2x+2
Step-by-step explanation:
2 1/2 divided by 5/2
[tex]\dfrac{2 \tfrac 12 }{\tfrac 52}\\\\\\\\= \dfrac{\left(\tfrac 5 2\right)}{\left(\tfrac 52 \right) }\\\\\\\\=1[/tex]
Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $10.On Saturday, Rob earned $45 babysitting. How much money did he save?
Answer:
$30
Step-by-step explanation:
Okay, so we can solve this problem using fractions; $10 saved for every $15 made..
10/15=x/45
Using cross multiplication we can conclude 10*45=15x
450=15x
x=30
Hope this helps :)
Alicia sold 59 fewer tickets than Jenna and Matt sold together. How many tickets did Alicia sell ? Explain
Answer:
I'm guessing 401 tickets. lol
Number of tickets Alicia sold is equals to 401 .
What is linear equation?" Linear equation is defined as the algebraic expression with one or more variables with highest power of the variable equals to one."
According to the question,
x represents the number of tickets Alicia sold
As per the data given,
Number of tickets Jenna and Matt sold together = 282 + 178
= 460 tickets
Substitute the given values in the condition we get linear equation,
x + 59 = 460
⇒ x = 460 - 59
⇒ x = 401 tickets
Hence, number of tickets Alicia sold is equals to 401 .
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#SPJ2
|-4+5x|=16
Pls help
Pls
Answer: i believe x = 4
Step-by-step explanation: 16 - |-4| which is adding two positives and that equals 20 so then its 5x = 20 divide 20 by 5 and you get 4
PLEASE HELP URGENT ASAP DUE TOMORROW PLSSSSS
∫x²cos(2x³)dx
Answer:
-222
Step-by-step explanation:
2. If Jordan's section contains 35 rows, how many seats are in her section?
seat(s)
Answer:
5
Step-by-step explanation:
Mark purchased a 20 foot long sub for a party he cuts the sandwich into 5/12 foot sections into how many pieces does he cut the sandwich
Answer:
48 pieces
Step-by-step explanation:
20÷5/12=20*12/5=240/5=48
How many times larger is 500 than 50
Answer:
10
Step-by-step explanation:
500/50=10
50*10=500
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work
3x + y = -2
y = 2x +3
The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.
From the information given;
3x + y = -2 ----- (1)
y = 2x +3 ----- (2)
By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:
3x + (2x + 3) = -2
3x + 2x + 3 = -2
5x + 3 = -2
5x = -2 - 3
5x = - 5
x = -5/5
x = -1
From equation (2), let's replace the value of x = - 1 into equation (2);
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
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An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row
The number of seats on the 24th row is 3220.
The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:
P x [r x (n - 1)]
Where:
P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 2470 x [2x (24 - 1)]
70 x (2 x 23)
= 70 x 46
= 3220
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Integrated project 4
Answer:
what about the integrated project please
What’s is log17 divided by 4
Answer:
log(17 1/4)
Step-by-step explanation:
Simplify Exponents and Roots
Someone help me it’s number 12
You need to find the x value
THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH
[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]
Help me please, thank you very much.
Answer:
8.9274
Step-by-step explanation:
you need to square both sides then add it together and then find the square root of the new number
Which of the following is a right triangle based on the given figure?
Answer:
BDE
Step-by-step explanation:
Last summer, Scott's family rented an RV. The rental fee allowed them to use the RV for 7 days. Scott's parents paid an additional $45 for the Cozy Camp upgrade, which included a grill to use for the duration of their trip. Scott's family paid $829 in all. What was the rental cost of each day they used the RV?
Based on the equation computed, it should be noted that the rental cost for each day will be $112 per day.
Total amount paid = $829Number of days used = 7 daysFrom the information that was given in the question, the equation to solve the question will be:
= (829 - 45) / 7
= 784 / 7
= $112 per day.
The correct option is $112 per day.
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A bag of mixed nuts contains cashews, pistachios, and almonds. There are 4000 total nuts in the
bag, and there are 400 fewer almonds than pistachios. Cashews weigh 2 g, pistachios weigh 3 g, and almonds weigh 5 g. If the bag weighs 9.7 kg, find out how many of each type of nut is in the bag.
Cashews:
Pistachios:
Almonds:
Answer :
Cashews : 2950
Pistachios : 725
Almonds : 325
( credits to FB person : Moni )
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet and a height of 15 feet. Container B has a diameter of 16 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.
To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?
Answer:
5.2%
Step-by-step explanation:
Volume of cylinder= πr²h
In Container A,
D= 18ft, r=18/2=9ft, h=15ft
volume= 22/7 × 9² × 15
= 26730/7 cubic ft.
In Container B,
D=16ft, r= 16/2=8ft, h=18ft
volume= 22/7 × 8² × 18
= 25344/7 cubic ft.
percent of amount of water left in Container A= percent of container A that is full after pumping
Amount of water left in Container A,
26730/7 - 25344/7 = 1386/7
Therefore, % of container A that is full= 1386/7 ÷ 26730/7 × 100
(1386×7×100)/(7×26730)= 5.185
To the nearest tenth= 5.2%
I been on this for days and no one can give me a right answer
Answer:
2x²=6x-5= x=3+i/2
-x²-10x=34= x = -(5+3i)
Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers
