Answer:
A = p(1 + rt)
Step-by-step explanation:
6682.50 = 6000(1 + 0.065t)
Find the perimeter of the rectangle. Do not round.
Answer:
49 ft.
Step-by-step explanation:
Since the figure is a rectangle, the length of the top of the figure is the same as that of the bottom. Thus, we can form an equation which we can later use to find the value of x.
4x +3= 16
Minus 3 on both sides:
4x= 16 -3
4x= 13
Divide by 4 on both sides:
x= 13 ÷4
x= 3.25
Breadth of rectangle
= 2x +2
= 2(3.25) +2
= 6.5 +2
= 8.5
Perimeter of rectangle
= 2(length +breadth)
= 2(16 +8.5)
= 2(24.5)
= 49 ft.
A chess club with 32 members is electing a new president. Raina received 8 votes. What percentage of the club members voted for Raina?
Answer: 25%
Step-by-step explanation:
As you can see 8/32 simplified would be 1/4 which would be 1/4 and 1/4 is equal to 25%!
you record the number of sunny days out of a sample of 90 randomly selected days in city a and city b. in city a's sample there were 54 sunny days. in city b sample there were 63 sunny days.
Is City B significantly sunnier than City A? use a significance level of 0.05
The significance level shows that z approximately equals 1.41 for a p-value of 0.078642.
How to calculate the p-value?Based on the complete question, the sample proportion for city A will be:
= 54/90 = 0.60
The sample proportion for city B will be:
= 63/90 = 0.70
Using the table given, it can be deduced that the test statistic value will be 1.41. Therefore, the p-value will be 0.078652 in the Excel function.
Since the p-value is greater than 0.05, then we fail to reject the null hypothesis that there is no difference in the commute time.
Learn more about significance level on:
https://brainly.com/question/4599596
A research finds that 50% of all commuters in a metropolitan area take the train to work. The researcher polls 250 people in the area and asks them whether they take the train to work. What is the number of trials for this but binormal experiment?
Answer:
Good morning! Number of trials are 250.
Step-by-step explanation:
A researcher finds 50% of all commuters in a metropolitan area take the train to work.
The researcher polls 250 people in the area to ask them whether they take the train to work or not.
We have tell the number of trials for this binomial experiment.
Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.
_AnnieTheDreamGirl, 3/8/2022
Building A and Building B are 500 meters apart. There is no road between them, so to drive from building A to Building B, it is necessary to first drive to building C and then to Building B. А 500 m b 60° B C a Find the distance from Building A to Building C. Round to the nearest whole number O 577 m O 447 m O 433 m O 250 m
The distance from building A to building C is 433m
Right angle triangle:A right angle triangle has one of its angle as 90 degrees. The sides can be found using trigonometric ratios.Therefore,
sin 60° = opposite / hypotenuse
sin 60° = b / 500
cross multiply
b = 500 sin 60°
b = 500 × 0.86602540378
b = 433.0127
b = 433 meters
learn more on right angle triangle here: https://brainly.com/question/20795478
I WILL GIVE BRAINLIEST Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$120
B.$85
C.$70
Answer:
the answer is A
Step-by-step explanation: it is A because 45 percent of $166 is $47.7 and if you subtract it from 166 it turns out to be $118.3
What is the solution to the equation below? In x= -4
A. X=0.31
B. X=0.02
C. X=-54.60
D. X=-1.39
Answer:
B. X=0.02
Step-by-step explanation:
The solution to the natural log equation is found by taking antilogs.
ln(x) = -4 . . . . . . . given equation
x = e^-4 . . . . . . . take antilogs
x ≈ 0.0183156
x ≈ 0.02 . . . . rounded to 2 decimal places
_____
Additional comment
Essentially, we use each side of the equation as a power of e.
e^ln(x) = e^(-4)
x = e^-4 . . . . . . . simplified
Choices C and D can be eliminated by the fact that ln(x) for x < 0 is undefined. x cannot be negative.
At the beginning of the road, a tank truck was traveling full of water in water tank, but it began to leak.You can assume that the fuel consumption of the truck is directly proportional to the weight it carries, and that the water flow(in the leakage) and the speed of the truck are constant for the whole journey. After traveling for miles, the truck leaked half of the water from the water tank and consumed half of fuel tank.
If the water tank was empty the truck would have spent a sixth of the fuel tank, if it travelled the same distance and under the same conditions as above.
Disregarding the fuel tank weight, what fraction of the fuel tank would be spent if there was no leak?
[tex]\frac{1}{2}[/tex] of the water takes [tex]\frac{1}{2}[/tex] of the fuel and empty tank takes [tex]\frac{1}{6}[/tex] of the fuel, the
fraction that would will be spent if there was no leak is [tex]\underline{\dfrac{11}{18}}[/tex] of the fuel
How can the fraction of the fuel spent be found?
The given parameters are;
The volume of oil consumed = [tex]\mathbf{\dfrac{1}{2}}[/tex] of the fuel tank
Volume consumed if the water tank was empty = [tex]\dfrac{1}{6}[/tex] of the fuel tank
Let w represent the weight of the water that fills the tank.
Therefore;
[tex]The \ average \ weight \ carried \ by \ oil = \dfrac{w + \dfrac{w}{2} }{2} = \mathbf{\dfrac{3 \cdot w}{4}}[/tex]
The amount of fuel consumed by the water that leaked = [tex]\dfrac{1}{2} - \dfrac{1}{6} = \dfrac{1}{3}[/tex]
Let x represent the amount of oil used to carry only the water if there
was no leak, therefore;
[tex]\mathbf{\dfrac{\frac{3 \cdot w}{4} }{w} }= \dfrac{\frac{1}{3} }{x}[/tex]
Which gives;
[tex]\mathbf{\dfrac{3 \cdot w}{4} \times x}} = \dfrac{1}{3} \times w }[/tex]
[tex]x = \dfrac{4}{3 \times 3} = \dfrac{4}{9}[/tex]
The total amount of fuel that will be consumed without leakage is
therefore;
[tex]Total \ amount \ of \ fuel = \dfrac{4}{9} + \dfrac{1}{6} = \mathbf{ \dfrac{11}{18}}[/tex]
The amount of oil consumed if there was no leakage is therefore;
[tex]\underline{\dfrac{11}{18} \ of \ the \ fuel \ tank}[/tex]Learn more about averages here;
https://brainly.com/question/24398353
How far is it from the gift shop to the bank?
Bank is -3,-2
Answer:
-1 I apologize if I'm wrong
Answer:
-5 steps away
explanation:
Add the x and y axis and then count how many it resulted in.
I'm not sure where the gift shop was, but since that wasn't included I had to assume it was at (0, 0). Let me know so I can change this if I need to. Thank you.
Marie has $60,000 in a savings account that earns 7% interest per year. How much will she have in 4 months?
Answer:
21,400
Solving steps:
Since, Marie has $60,000 in a savings account that earns 7% interest per year.
Find: How much will she have in 4 months.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: solution[/tex]
Step 1: Find the money for the 7% rate
=> [tex] 60000 \times \frac{7}{100} [/tex]
=> [tex] \frac{60000}{1} \times \frac{7}{100} [/tex]
cancel the two zeros of 60,000 and 100
=> 600 × 7
=> 4,200
Add 4,200 to 60,000
=> 64,200
per year = 64,200
Now, divide 64,200 by 12
since 12 months to make one year
=> 64,200 ÷ 12
=> 5,350
now multiply it by 4 months she gets 5350 per month
=> 21,400
Mary and Vincent climbed up a rock wall at the park, Mary climbed 3/4 the way up the wall, Vincent climbed 3/8 of the way up the wall, who climbed higher, how will i use this information?
Answer:
Mary climbed higher
Step-by-step explanation:
think of it like this a wall is four feet and you climb 3 feet up. You are closer to the top than if you climbed 3 feet up a 8 wall.
For what values of a are the following expressions true?
|a-5|=5-a
Answer:
this expression is true for all values of a.
Step-by-step explanation:
So if the expression is:
a - 5 = 5 - a
For this reason:
2a = 10
a = 5
a - 5 = -5 + a
0 = 0
Two types of tickets are available for a charity ball event: $18 for a reserved seat and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets for the day was $3,600, how many seats were allotted for general admission?
Answer:
# of reserved seats = R; # of general admission seats = G
G - R = 85
$18R + $9G =$3600
Multiply 1st equation by 18: 18G - 18R = 1530
Rearrange 2nd equation: $9G + $18R =$3600
Combine the equations: 27 G = 5130
G = 190
R = 105
Step-by-step explanation:
zack and grace share a sum of money in the ratio 9:11 what percentage of the money does zack receive
Answer:
Percentage of Money Zack receives =
[tex]\bold{\frac{the \:share \:he\: gets \:in\: ratio \:form}{Total \:share \:in\: ratio \:form} \times 100}\\[/tex]
[tex] \bold{\frac{9}{11 + 9} \times 100} \\ \\\bold{ ⇢ \frac{9}{\cancel{20}} \times\cancel{ 100} }\\ \\ \bold\blue{ ⇢ 45\%}[/tex]
hope helpful~
a. The number 6 is 7 units away from 13 on a number line.
Which other integer is 7 units away from 6 on a
number line?
B.which integers are 10 units away from 5 on a number line?
C.Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?
Please answer thiss, thank you guys so much!!!!!!! :)
Answer:
a. -1
Subtracting 6-7 would give you -1. Negative 1 is 7 units from the number 6.
b. -5 and 15
Adding and subtracting 10 from 5 would give you -5 and 15.
c. -3
Starting at -7, and going to the right 4 means that Darcy moved +4. -7+4 would give you negative 3.
Answer:
[A] - 1
[B] - 5
[C] -3
Step-by-step explanation:
[A] The number 6 is 7 units away from 13 on a number line. Which other integer is 7 units away from 6 on a number line?
Solve:
6+7=13
6-7=-1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[B] which integers are 10 units away from 5 on a number line?
Solve:
5-10=-5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[C] Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?
Solve:
-7+4=-3
Negative + Positive =[ Negative]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~lenvy~
Please help! My friend is doing missing assignments <3
Answer:
4 1/4 in.
Step-by-step explanation:
Highest record: 24 ft. 6 3/4 in.
John's best long jump: 24 ft. 2 1/2 in.
convert 1/2 to have denominator of 4...
1/2 x 2/2=2/4
subtract from highest record...
3/4-2/4=1/4
add to whole numbers...
6-2=4
4+1/4= 4 1/4
x=50 x=52 x=46 x=48 fast pls only 20 min
Answer:
X=48
Step-by-step explanation:
100 = 2x+4
100-4 = 2x
96 = 2x
96/2 = x
x = 48
A tiger can run 1.3 miles in 2 minutes. A lion can run 2.5 miles in 3 minutes. Which runs faster, and by how much?
Find the equations of the circle which is tangent to both axes and their center lies on the line 2x+3y=10
Answer:
(x - 2)² + (y - 2)² = 4
Step-by-step explanation:
The circle is tangent to both axes, so the radius = x = y
Center is on 2x + 3y = 0, so 2x + 3x = 1-
x = 2 = y
center: (2, 2)
radius = 2
equation: (x - 2)² + (y - 2)² = 2²
(x - 2)² + (y - 2)² = 4
URGENT!!!!!!!!!!!!!!!!!!!!
Answer:
aₙ = a₁ * 2ⁿ⁺¹
Step-by-step explanation:
a₁ = 6
a₂ = 12
a₃ = 24
Note a₂/a₁ = 2 = a₃/a₂
So it is a geometric sequence with common ratio of 2
a₂ = a₁ * 2 = a₁ * 2¹ = a₁ * 2²⁺¹
a₃ = a₂ * 2 = a₁ * 2 * 2 = a₁ * 2² = a₁ * 2³⁺¹
Then
aₙ = a₁ * 2ⁿ⁺¹
A homeowner needs to construct a ramp to their front door. How long should the ramp be if the door is 4ft above the ground and the angle of elevation is 20°?
Step-by-step explanation:
we want to find the hypotenuse
soh cah toa
he have hypotenuse and opposite
soh
sin 20 = H/4
can u do the rest and put answer in comments please mark brainest
!!!PLEASE HELP!!!!
How can you find the solution to a system of equations by graphing?
(Look at the image for the answers it’s multi choice)
Answer:
c. The solution to a system of equations is the point or points where they intersect
PLEASE HELP!!
Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.
Enter the answer as an equation.
Answer:
The axis of symmetry of this parabola will be the line x=−b2a .
Step-by-step explanation:
Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Answer:
2
Step-by-step explanation:
6. Find the value of each missing variable.
Answer:
x = 110
y = 102
z = 82
Step-by-step explanation:
Angles that create a line are equal to 180
x + 70 = 180
x = 110
y + 78 = 180
y = 102
A quadrilateral's angles add up to 360
110 + 78 + 90 + z = 360
278 + z = 360
z = 82
Mom paid me 15.00 i now have 47’.00 how much did I start with
Answer:
You started with 32.00
Step-by-step explanation:
47 minus 15 is 32
Find the value of x. show work
Step-by-step explanation:
it's a right triangle
Pythagorean theorem
the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
x² = 9² - 2²
x² = 81 - 4
x² = 77
x = √77
or
x = 8.77
---------------------
Solve for X to the nearest tenth.
Answer:
x = 2•sqroot(5)
x ~= 4.47
Step-by-step explanation:
Draw a line to make the "top" part be a
4 × 3 rectangle. see image.
Then you will have a right triangle on the bottom. It has legs 2 and 4 units long. Use the Pythagorean theorem to solve for x. see image.
Answer:
4.5
Step-by-step explanation:
124 oz ______ = lb
what is the answer in the space
Answer:
7.75 is the the correct answer
A tank containing 500 litres of water has a leak.if one-third of the water in the tank leaked out on monday and one-seventh of the remaining water in the tank leaked out on tuesday, how much water is left in the tank?
Answer: 285.7L
Step-by-step explanation:
Tank initially had 500L of water.
On Monday a third leaked out, therefore:
Amount of water that leaked = 500L x 1/3 = 166.6667 = 166.7L
Remaining water after Monday leak = 500-166.7 = 333.3333 = 333.3L
On Tuesday a seventh of the remaining water (333.3L) leaked out, therefore:
Amount of water that leaked: (333.3333) x 1/7 = 47.6190 =47.6L
Water left after both leaks =500L - (166.6667 + 47.6190)L = 500L - 214.2857L = 285.7143L = 285.7L.
OR Water left = 333.3333L - 47.6190L = 285.7143L = 285.7L
80 points. Please answer!
Answer:
a cube that is 1 yard long, 1 yard wide, and 1 yard high
Step-by-step explanation:
The dimensions for a unit cube are:
[tex]1\times1\times1[/tex]
Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent).
Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.
Answer:
I guess 4, because it has only 1 unit in it, and not 9 inches^3.
Step-by-step explanation:
Hope this helps.