Answer:
Clare account balance after one year will be $164.80
Step-by-step explanation:
Interest = PRT/100
Principal P = $160, Rate r = 3%, and time t = 1 year
Interest = (160*3*1)/100
Interest =480/100
= $4.80
The total balance in Clare's account after 1 year will be $160 + $4.80
= $164.80
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 666 meters. They already have 101010 meters of fencing.
How many more meters of fencing should they buy?
Steph's parents need to buy 1654 meters more of fencing.
To find out how many more meters of fencing Steph's parents need to buy, let's first calculate the perimeter of the square fence.
Since all sides of a square are equal, if each side measures 666 meters, then the perimeter of the square is:
[tex]Perimeter = 4 * Side[/tex]
Given that each side measures 666 meters:
[tex]Perimeter = 4 * 666[/tex]
Now, let's calculate the total perimeter:
[tex]Perimeter = 4 * 666[/tex]
[tex]Perimeter = 2664 meters[/tex]
Now, let's see how much fencing they already have and how much more they need to buy:
[tex]Fencing already obtained = 1010 meters[/tex]
[tex]Fencing needed = Perimeter - Fencing already obtained[/tex]
[tex]Fencing needed = 2664 meters - 1010 meters[/tex]
[tex]Fencing needed = 1654 meters[/tex]
Complete correct question:
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 666 meters. They already have 101010 meters of fencing. How many more meters of fencing should they buy?
Helena lost her marbles. But then she found them and put them in 4 bags with m marbles in each bag. She had 3 marbles left over that didn’t fit in the bag.
how many marbles does Helena have.
Answer:
4m+3
Step-by-step explanation:
Helena had ...
m +m +m +m +3
marbles. This is more easily written as ...
4m +3 . . . . the number of Helena's marbles
What do you notice? What do you wonder?
watches TV
W
not much TV
plays sports
no sports
Concerned with poverty, 27 adults conduct a survey. According to the results 35% of adults are concerned with poverty. Let x= number of adults surveyed and y= adults concerned with poverty. If 200 adults are surveyed how many are concerned with poverty?
Answer:
70
Step-by-step explanation:
In this problem, 27 adults conduct a survey.
In the results of the survey, it is found that 35% of the adults are concerned with poverty.
If we call:
x = number of adults surveyed
y = adults concerned with poverty
This means that we can write the following relationship:
[tex]y=0.35x[/tex] (1)
where [tex]0.35[/tex] represents the percentage of adults concerned with poverty, rewritten in decimal form ([tex]0.35=\frac{35}{100}[/tex])
Later, we are told that 200 adults are surveyed, so now we have
x = 200
So substituting into eq(1) we can find how many of these adults are concerned with poverty:
[tex]y=0.35\cdot 200 =70[/tex]
which function has zeros at x= -2 and x=5
Answer:
x^2-3x-10
Step-by-step explanation:
If the zeros are -2 and 5, the equation (x+2)(x-5) is true. If you multiply those factors together you get x^2-3x-10.
Cooking oil is delivered to your restaurant in 5-gallon buckets. For easier pouring, the oil is stored in one-liter containers. How many one-liter containers are needed to completely empty the 5-gallon bucket?
Answer:
19 !
Step-by-step explanation: make me brainlist
The number of mosquitoes in a field after a major rainfall is modeled by the function M defined by M(t)=−t3+12t2+144t , where t is the number of days after the rainfall ended and 0≤t≤18 . Using correct units, interpret the meaning of M′(15)=−171 in the context of the problem.
Answer: The rate at which mosquitoes are appearing in a field 15 days after the rainfall ended is -171. I believe this to be correct.
M'(15) = -171 means that after 15 days, the number of mosquitoes is decreasing at a rate of 171 mosquitoes per day.
Interpreting the FunctionThe function M(t) represents the number of mosquitoes in a field after t days have passed since a major rainfall. The derivative of this function, M'(t), represents the rate of change of the number of mosquitoes.
M'(15) = -171 means that after 15 days, the number of mosquitoes is decreasing at a rate of 171 mosquitoes per day. In other words, the population of mosquitoes is declining by 171 mosquitoes each day.
Learn.more on rate of change : https://brainly.com/question/25184007
#SPJ3
can someone please help !!!!!!!!!!!!!!!!
Answer:
u=10
Step-by-step explanation:
Answer
u = 10
Step-by-step explanation:
For now we do not know what u equals, but we do know that 20/5 = 4, because 20/5 simplified is just 4 since the fraction means 20 ÷ 4. Now that we are back to the question, with 2/5; if you multiply by 10 the numerator will then be 20. And now the equation is true! Hope this helps!
what are the ten times tables
So we go up in 10's. It simply goes like this, 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200... etc.
Answer:
1 x 10 = 10
2 x 10 = 20
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50
6 x 10 = 60
7 x 10 = 70
8 x 10 = 80
9 x 10 = 90
10 x 10 = 100
11 x 10 = 110
12 x 10 = 120
Step-by-step explanation:
Lynn and Dawn tossed a coin 30 times and got heads 18 times. What is the experimental probability of tossing heads using Lynn and Dawn’s results?
3/5
5/3
2/3
Answer:
3/5
Step-by-step explanation:
Answer:
Your answer should be 3/5
A 150-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece. The shorter piece is nothing inches long.
Answer:
Step-by-step explanation:150/4 = 37.5 inches small piece
150 - 37.5 = 112.5 large piece
37.5 * 4 = 150
Answer: the shorter piece is 30 inches long.
the longer piece is 120 inches long.
Step-by-step explanation:
Let x represent the length of the shorter piece.
Let y represent the length of the longer piece.
A 150-inch pipe is cut into two pieces. It means that
x + y = 150- - - - - - - -1
One piece is four times the length of the other. It means that
y = 4x
Substituting y = 4x into equation 1, it becomes
x + 4x = 150
5x = 150
x = 150/5
x = 30
y = 4x = 4 × 30
y = 120
Give the digits in the thousands place and the tens place.
8,695
thousands:
tens:
Answer:thousands-8 5 in the tans place
Step-by-step explanation:
Answer:
Thousands: 8
Tens: 9
Step-by-step explanation:
Thousands, Hundreds, Tens, Ones
8 Thousands, 6 Hundreds, 9 Tens, 5 Ones
Please help me idk this
Answer:
C =12.56 inches
Step-by-step explanation:
The circumference is given by
C = 2*pi*r where r is the radius
C = 2* 3.14 * 2
C =12.56 inches
Answer:
4π
Step-by-step explanation:
The equation for circumference is 2πr
In order to find the circumference here, plug in the given radius
2π(2) = 4π
The water level, measured in feet above mean sea level, of Lake Lanier in Georgia, USA, during 2012 can be modeled by the function L(t) = 0.01441t 3 − 0.4177t 2 + 2.703t + 1060.1 where t is measured in months since January 1, 2012. Estimate when the water level was highest during 2012.
Answer:
May 4th, 2012.
Step-by-step explanation:
The highest level can be found with the help of the First Derivative and Second Derivative Tests. First and second derivatives of the function are, respectively:
[tex]l'(t) = 0.04323\cdot t^{2}-0.8354\cdot t +2.703[/tex]
[tex]l''(t) = 0.08646\cdot t - 0.8354[/tex]
The First Derivative Tests consists on equalizing the first derivative to zero and finding the critical points.
[tex]0.04323\cdot t^{2}-0.8354\cdot t +2.703 = 0[/tex]
Roots are [tex]t_{1} \approx 15.672[/tex] and [tex]t_{2} \approx 4.077[/tex]. just the second root offer a realistic solution and is test by the second derivative.
[tex]l''(4.077) = -0.482[/tex] (which leads to a maximum).
Given that a year has 365 days or 12 months, the highest water level occurs at day:
[tex]n = \frac{4.077}{12} \cdot (365\,days)[/tex]
[tex]n \approx 124[/tex] (May 4th).
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1491 and the standard deviation was 312. The test scores of four students selected at random are 1910, 1230, 2190, and 1380. Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Answer:
[tex]z(1910)=1.3429\\\\z(1230)=-0.9006\\\\z(2190)=2.2404\\\\z(1380)=-0.3558[/tex]
Step-by-step explanation:
-Given the population mean is [tex]\mu=1491[/tex]and the standard deviation is [tex]\sigma=312[/tex], we calculate the z-scores using the formula:
[tex]z=\frac{\bar x-\mu}{\sigma}[/tex]
#The z-score for 1910 can be calculated as:
[tex]z(1910)=\frac{x-\mu}{\sigma}\\\\=\frac{1910-1491}{312}\\\\=\frac{419}{312}\\\\=1.3429[/tex]
#The z-score for 1230can be calculated as:
[tex]z(1230)=\frac{x-\mu}{\sigma}\\\\=\frac{1230-1491}{312}\\\\=\frac{-281}{312}\\\\=-0.9006[/tex]
#The z-score for 2190 is calculated as follows:
[tex]z(2190)=\frac{x-\mu}{\sigma}\\\\=\frac{2190-1491}{312}\\\\=\frac{699}{312}\\\\=2.2404[/tex]
#The z-score for 1380 is calculated as:
[tex]z(1380)=\frac{x-\mu}{\sigma}\\\\=\frac{1380-1491}{312}\\\\=\frac{-111}{312}\\\\=-0.3558[/tex]
felipe is training to run a marathon. today he ran 24 miles in 2.5 hours. at what rate did felipe run today?
Answer:
5/2= 2 1/2 miles 2 1/2 mi x 4= 10 MPH
Step-by-step explanation:
Answer:
9.6 in an hr
Step-by-step explanation:
24 divided by 2.5
MATH PROBLEM NEED HELP NOW! (look at photo)
Answer:
I don’t see photo
Step-by-step explanation:
I
Don’t
See
The
Photo
What is a residual value??
Answer:
In accounting, residual value is another name for salvage value, the remaining value of an asset after it has been fully depreciated. The residual value derives its calculation from a base price, calculated after depreciation.
the angle of depression from an eagle sitting on top of a flagpole to base tree is 63. If the flag pole is 18 feet tall, then what is the distance between the pole and tree?
here u go:
BC = 18 × 1.96
= 35.28 ft
Therefore the distance between the pole and the tree is 35.28 ft .
Last year,alex earened a monthly salary of $250, and ben earned a monthly salary of $180. This year, each of them received a pay increase of 25% this year, how much more did alex earn in one month then ben
Answer: Alex earned $87.5 more than Ben
Step-by-step explanation:
Last year,Alex earned a monthly salary of $250. This year, he received a pay increase of 25%. It means that the amount by which his pay was increased is
25/100 × 250 = 62.5
His new monthly salary would be
250 + 62.5 = $312.5
Last yearBen earned a monthly salary of $180. This year, he also received a pay increase of 25%. It means that the amount by which his pay was increased is
25/100 × 1800 = 45
His new monthly salary would be
180 + 45 = $225
The difference between the amount earned by Alex and Ben monthly is
312.5 - 225 = $87.5
Factorise the following:
a) x + 10x + 16
b) x + 7x + 12
c) x + 13x + 12
Answer:
A) (x + 2)(x + 8) B) (x + 3)(x + 4) C) (x + 1)(x + 12)
Step-by-step explanation:
I think that you meant to put x^2 on all of them
A) You can factor out an x, an 8, and a 2. (x + 2)(x + 8)
B) You can factor out an x, a 3, and a 4. (x + 3)(x + 4)
C) You can factor out an x, a 12, and a 1. (x + 1)(x + 12)
If these answers are correct, please make me Brainliest!
The Factorize value is
A) (x + 2)(x + 8)
B) (x + 3)(x + 4)
C) (x + 1)(x + 12)
What is Factorization?A number is swiftly factorised into smaller numbers or factors of the number using the factorization formula. A factor is a number that evenly divides the inputted number.
The process of dividing a number into smaller numbers that, when multiplied together, equal the original number is known as factorization.
Given:
A) x² + 10x + 16
Now, factorizing
x² + 8x + 2x + 16
x(x+ 8)+ 2(x+8)
(x + 2)(x + 8)
B) x² + 7x + 12
Now, factorizing
x² + 3x + 4x + 12
x(x+ 3)+ 4(x+3)
(x + 3)(x + 4)
C) x² + 13x + 12
Now, factorizing
x² + 12x + x + 12
x(x+ 12)+ 1(x+3)
(x + 12)(x + 1)
Learn more about factorization here:
https://brainly.com/question/20293447
#SPJ2
You are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the
end of the night you made a total of $78.50. You sold a total of 87 hot dogs and
sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold:
Let x = the number of hot dogs sold
Let y = the number of sodas sold
write your answer as an ordered pair (x,y)
x= hot dogs
y= soda
Total sold
1 x + 1 y = 87 .............1
2 x 0.50 y = 78.50 .............2
Eliminate y
multiply (1)by -0.50
Multiply (2) by 1.00
-0.50 x -0.50 y = -43.50
2 x + 0.50 y = 78.50
Add the two equations
1 x = 35.00
/ 1
x = 35.00
plug value of x in (1)
1 x + 1 y = 87
35 + y = 87
y = 87 -35
y = 52
y = 52.00
x= 35 hot dogs
y= 52 soda
Final answer:
The number of hot dogs and sodas sold can be determined using a system of linear equations. By solving these equations, it was found that 35 hot dogs and 52 sodas were sold, represented as an ordered pair (35, 52).
Explanation:
Let's solve the problem of determining the number of hot dogs (x) and sodas (y) sold at a concession stand. Given that each hot dog costs $1.50 and each soda costs $0.50, and the total revenue is $78.50 for 87 items sold, we can set up two equations:
1.50x + 0.50y = 78.50 (The revenue equation)x + y = 87 (The total items equation)Now, let's use these equations to find x and y by substitution or elimination. If we multiply the second equation by 0.50, we get:
0.50x + 0.50y = 43.50Subtract this new equation from the first one to eliminate y:
1.50x + 0.50y = 78.50-(0.50x + 0.50y = 43.50)x = 35 (Number of hot dogs sold)Now, plug x back into the second original equation:
35 + y = 87
So, y = 52 (Number of sodas sold).
The answer as an ordered pair is: (35, 52), where 35 represents the number of hot dogs sold, and 52 represents the number of sodas sold.
What is the answer for x-9=8
Answer:
x=17
Step-by-step explanation:
To solve this, we can add 9 to each side of the equation. This will cancel out the 9 to only leave x by itself on one side
Once we add 9 to each side, we will be left with x=17
40 POINTS!
Please look at the two small pictures below. Here are the questions.
7. a) Write a multiplication statement to represent the algebra tiles. (picture #1)
b) If the tiles below are divided by 2x, what is the quotient?
Answer:
Part a) [tex]-2x(2x-5)[/tex]
Part b) [tex]3x+6[/tex]
Step-by-step explanation:
Part a)
I first determined what each piece in the rectangular array meant.
Then I wanted to figure out the height and the base length.
I know [tex]-x(x)=-x^2[/tex] so that is why I put those purple [tex]x[/tex]'s on top and purple [tex]-x[/tex]'s down alongside for the [tex]-x^2[/tex] pieces. To get [tex]x[/tex] when I already had [tex]-x[/tex], I needed to multiply by -1 which is why there is a -1 along the top where those [tex]x[/tex] pieces are.
So in the first question down the side of the box, we have [tex]-x+-x=-2x/tex].
Along the the top we have [tex]x+x-1-1-1-1-1=2x-5[/tex].
To find the area of the rectangle, you multiply height by base.
[tex]-2x(2x-5)[/tex].
Part b)We have six [tex]x^2[/tex]'s and twelve [tex]x[/tex]'s. So that means the polynomial represented here is [tex]6x^2+12x[/tex].
What happens if we divide that by [tex]2x[/tex].
Let's see:
[tex]\frac{6x^2+12x}{2x}[/tex]
[tex]\frac{6x^2}{2x}+\frac{12x}{2x}[/tex]
[tex]3x+6[/tex]
Answer:
A) 2x(2x - 5)
B) -(3x + 6)
Step-by-step explanation:
Each empty square represents: x²
Each filled rectangle represents: -x
Area is 4x² - 10x
There are two rows:
Each row is: 2x² - 5x = x(2x - 5)
Statement:
2x(2x - 5)
In b, there are 6 tiles of -x², and 12 tiles of -x, which makes it:
-6x² - 12x
-(6x² + 12x)
-(6x² + 12x)/2x
-[(6x²/2x) + (12x/2x)0
-(3x + 6)
-3x - 6
A) Draw a number line from 0 to 2. Then draw and label the points 2 and 0.2. B) use the number line to explain why 2 is 10 times the value of 0.2
Answer:
See attachment
Step-by-step explanation:
A) We draw the number line as shown in the attachment with intervals of 0.2 from 0 to 2.
B) Observe that, from 0 to 0.2 you move one units to get to 0.2.
From 0 to 2, on the number line with intervals of 0.2, you move 10 units from 0.
This means that:
[tex]2 = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2[/tex]
This gives us:
[tex]2 = 0.2(1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)[/tex]
Then finally we have:
[tex]2 = 0.2(10)[/tex]
By the commutative property of multiplication:
[tex]2 = 10 \times 0.2[/tex]
Can you tell me the answer to this: 2y = 2x + 2
Answer:
y = x + 2, assuming you need it in slope-intercept form.
Step-by-step explanation:
Isolate the y-value by dividing 2 from both sides of the equation.
Answer:I have no idea I just need points sorry lol :(
Step-by-step explanation:
What is the quotient of 20 and n
Simplify the expression:
4m + 6m +3
Answer: [tex]10m+3[/tex]
Combine Like Terms
[tex]4m+6m+3\\(4m+6m)+(3)\\10m+3[/tex]
Answer:
10m + 3
Step-by-step explanation:
You are supposed to add the like terms which are 4m and 6m to equal 10m
4m + 6m + 3
=
10m + 3
please give me brainliest
The area of a circle is 4π square kilometers. What is the radius? Write your answer in simplest form.
Answer:
2 km
Step-by-step explanation:
4π = π × r²
r² = 4
r = 2
A shark is swimming 28 ft below sea level. If the angle of depression from a boat on the water to the shark is 19 degrees, what is the horizontal distance between the boat and the shark?
Answer:
81,3 ft to the nearest tenth.
Step-by-step explanation:
Tan 19 = 28 / h where h = the horizontal distance.
h = 28 / tan 19
h = 81.3 ft.
Final answer:
To calculate the horizontal distance between the boat and the shark, the tangent of the angle of depression (19 degrees) is set equal to the vertical depth (28 ft) divided by the horizontal distance. The horizontal distance is found to be approximately 81.32 ft.
Explanation:
To determine the horizontal distance between the boat and the shark when the shark is swimming 28 ft below sea level and the angle of depression from the boat to the shark is 19 degrees, we can use trigonometry, specifically the tangent function. The angle of depression corresponds to the angle between the horizontal sightline from the boat and the line of sight to the shark.
In the right-angled triangle formed by the vertical depth of the shark, the horizontal distance to the shark, and the line of sight from the boat, the angle at the boat's position is 19 degrees and the opposite side (depth) is 28 ft. Using the formula tangent of an angle equals the opposite side divided by the adjacent side (tan(θ) = opposite/adjacent), we get:
tan(19°) = 28/horizontal distance
Therefore, the horizontal distance = 28 / tan(19°) = 28/0.3443
Calculating this, we get the horizontal distance to be approximately 81.32 ft.